Coordinate plane K = (10,?) L = (?,20) M = (30,?)

Answers

Answer 1

The missing coordinates are:

K = (10, 10)

L = (20, 10)

M = (30, 10)

Given the graph is a straight line on coordinate plane.

We know that in Cartesian Coordinate plane if the points are on a straight line parallel to any Axis that is X axis or Y axis then the ordinate or the y-value of the coordinates of that points are equal for all.

Here we can see that the given graph has a line parallel to X axis and it is 10 units upwards from the X axis.

And it is clear from the graph that the coordinates of the point on the graph are given by,

K = (10, 10)

L = (20, 10)

M = (30, 10)

Hence the missing coordinates are 10, 10, 10.

To know more about coordinates here

https://brainly.com/question/17206319

#SPJ4

The question is incomplete. The complete question will be -

"K = (10,?) L = (?,20) M = (30,?) are on that line, too. Write their missing coordinates."

Coordinate Plane K = (10,?) L = (?,20) M = (30,?)

Related Questions

"x = 2
When there's an exponent, take the root of both sides
₃√x³ = ₃√8
x = 2" How do you solve x³ = 8?

Answers

The solution to the equation x³ = 8 is x = 2.

What is equation?

A statement that affirms the equivalence of two expressions joined by the equals symbol "=" is known as an equation.

To solve x³ = 8, we can use the concept of taking the cube root of both sides of the equation:

x³ = 8

Taking the cube root of both sides, we get:

∛(x³) = ∛8

Simplifying the left-hand side of the equation, we get:

x = ∛8

We can simplify the cube root of 8 to get the final solution:

x = 2

Therefore, the solution to the equation x³ = 8 is x = 2.

Learn more about equation on:

https://brainly.com/question/27893282

#SPJ4

wyatt oil purchases goods from its suppliers on terms 3/20 net 40. the effective annual cost to wyatt, if they do not take the discount, and instead pay on day 40 is closest to: 75% 18% 82% 45%

Answers

To calculate the effective annual cost of not taking the discount and paying on day 40, we need to determine the cost of financing the purchase over 40 days.

First, we can calculate the cost of not taking the discount:

Discount = 3%

Days to Pay = 40

Effective Interest Rate = (Discount % / (100% - Discount %)) x (365 / (Days to Pay - Discount Period))

Effective Interest Rate = (3% / (100% - 3%)) x (365 / (40 - 20))

Effective Interest Rate = 0.03109 or 3.109%

This means that if Wyatt Oil does not take the discount and pays on day 40, they will effectively be paying an annual interest rate of 3.109% to finance the purchase.

Therefore, the closest answer to the effective annual cost is 3.109%, which is option B: 18%.

Learn more about effective annual cost here: brainly.com/question/31106975

#SPJ11

(L8) Apply the 30º-60º-90º Triangle Theorem to find the length of the hypotenuse of a triangle if the length of the shorter leg is 4 inches.

Answers

The 30º-60º-90º Triangle Theorem states that the longer leg of a triangle is equal to the shorter leg multiplied by the square root of 3, and the hypotenuse is equal to twice the shorter leg.

Therefore, if the length of the shorter leg is 4 inches, the longer leg would be 4√3 inches, and the hypotenuse would be 8 inches.

To apply the 30-60-90 Triangle Theorem, remember the ratio of the sides is 1:√3:2. In this case, the length of the shorter leg is 4 inches (corresponding to the 30º angle). Since the ratio of the shorter leg to the hypotenuse is 1:2, simply double the length of the shorter leg to find the hypotenuse. So, the length of the hypotenuse is 4 × 2 = 8 inches.

Visit here to learn more about 30º-60º-90º Triangle Theorem  : https://brainly.com/question/4125752
#SPJ11

(L3) Which triangle illustrates an incenter?

Answers

The incenter of a triangle is the point of intersection of the angle bisectors of the three angles of the triangle. This point is equidistant from the three sides of the triangle, and it is the center of the circle that is tangent to all three sides of the triangle.

To illustrate an incenter, we need to look for a triangle that has a point that is equidistant from all three sides. One such triangle is an equilateral triangle, which has all three sides equal in length and all three angles equal in measure.

In an equilateral triangle, the incenter coincides with the centroid, circumcenter, and orthocenter. These four points are all located at the same point, which is the center of symmetry of the triangle.

To see why the incenter is at the center of an equilateral triangle, consider that the angle bisectors of an equilateral triangle form three congruent angles of 60 degrees each. These angle bisectors also bisect the sides of the triangle at right angles, forming six congruent 30-60-90 triangles. Since the incenter is the point where the angle bisectors intersect, it follows that the incenter is equidistant from all three sides of the triangle.

Learn more about intersection

https://brainly.com/question/14217061

#SPJ4

(Please Hurry!!!) A mirror is placed 45 feet from the base of a waterfall by a hiker. The hiker walks backwards until they are 7.5 feet from the mirror. Determine how tall the waterfall is if the hiker is 6 feet tall. 36 ft 39.5 ft 56.25 ft 72 ft

Answers

Hdhsh this was the first thing

Answer: 36 feet

Step-by-step explanation: I hope this helps

What is the simplest form of the expression sqrt2-sqrt10/sqrt2+sqrt10

Answers

The simplest form of the expression √2-√10/√2+√10 is -√5.

To do this, we multiply both the numerator and denominator of the fraction by the conjugate of the denominator. The conjugate of a binomial is the same as the binomial, but with the opposite sign in the middle. For the denominator √2+√10, the conjugate is √2-√10.

So, we multiply the numerator and denominator of the expression by √2-√10:

(√2-√10/√2+√10) x (√2-√10/√2-√10)

Expanding the denominator, we get:

(√2-√10) x (√2-√10) / (2 - 10)

Simplifying the denominator, we get:

(√2-√10) x (√2-√10) / (-8)

Expanding the numerator, we get:

2 - 2√20 + 10 / (-8)

Simplifying the numerator, we get:

-8√5 / 8

Canceling out the common factor of 8, we get:

-√5

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

Students at a certain college claim that the average distance students commute to campus is 26 miles per day. To check this claim, a random sample of 16 students is selected and their commuting distance is recorded. The average in the sample is 29 miles and the SD is calculated to be 8 miles. We want to test the hypothesesH_0: \mu = 26vs.H_a: \mu =\neq 26
1- What is the test statistic? Round to 4 decimal places.
2- What is the p-value? Round to 4 decimal places.

Answers

1)  The test statistic is 1.5

2) The p-value is  0.1544.

What is a hypothesis?

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

Here, we have

Given: Students at a certain college claim that the average distance students commute to campus is 26 miles per day.

This will be a two-tailed test because the alternative hypothesis is showing a specific direction

This is the two-tailed test.

The null and alternative hypothesis is,

H₀ : μ = 26

Hₐ: μ ≠ 26

x = 29

s = 8

n = 16

1) Test statistic = t = (x-μ)/s/√n

= (29-26)/8/√16

= 3/8/4

= 1.5

degrees of freedom = n - 1 = 16 - 1 = 15

p(t > 1.5) = 1-P (t < 1.5) = 1 - 0.9228

= 0.0772

This is the two-tailed test.

2) p-value = 2 * p(t > 1.5)

p-value = 2 * 0.0772

p-value = 0.1544

Hence, 1)  The test statistic is 1.5

2) The p-value is  0.1544.

To learn more about the hypothesis from the given link

https://brainly.com/question/15980493

#SPJ4

Pls help ill give crown

Answers

Answer:

Interval Frequency

0 - 1 5

2 - 3 0

4 - 5 4

6 - 7 8

8 - 9 6

What is the largest country in europe by population?.

Answers

The largest country in Europe by population is Russia. With a population of over 144 million people, Russia holds almost twice as many inhabitants as the second-largest country in Europe, Germany.

The reason why Russia has the largest population in Europe is mainly due to its vast geographical area, which includes diverse ethnic groups and natural resources, thus supporting a larger population. Additionally, historical factors such as migration, urbanization, and economic growth have also contributed to Russia's high population numbers.

One of the main reasons for Russia's large population is its size. As the largest country in the world, Russia covers almost 1/8th of the world's landmass, providing ample room for its citizens to reside. Additionally, Russia's population growth has been influenced by various factors throughout history, including immigration, wars, and government policies. Despite declining birth rates in recent years, Russia's population remains the largest in Europe.

Learn more about birth rates here:

brainly.com/question/2278740

#SPJ11

Does support for new national parks (For or Against) differ by region in the country (West, Midwest, South, Northeast)?Choose the correct inference procedure to answer this question.

Answers

To answer this question, a chi-square test of independence can be used to determine if there is a significant association between region of the country and support for new national parks (for or against).

The null hypothesis would be that there is no association between the two variables, and the alternative hypothesis would be that there is an association.

To analyze whether support for new national parks differs by region in the country (West, Midwest, South, Northeast), you would use an Analysis of Variance (ANOVA) test. The ANOVA test allows you to compare the means of multiple groups (in this case, the regions) to determine if there is a significant difference in support for new national parks among them.

Visit here to learn more about null hypothesis  : https://brainly.com/question/28920252
#SPJ11

[tex]\sqrt{3} \frac{1 }{3\sqrt{6} }[/tex]

Answers

[tex] \frac{ \sqrt{2} }{6} [/tex]

~

0.23

The middle of {1, 2, 3, 4, 5} is 3. The middle of {1, 2, 3, 4} is 2 and 3. Select the true statements (Select ALL that are true)

An even number of data values will always have one middle number.

An odd number of data values will always have one middle value

An odd number of data values will always have two middle numbers.

An even number of data values will always have two middle numbers.

Answers

The statements that are true of medians in even and odd distributions are:

An odd number of data values will always have one middle value.An even number of data values will always have two middle numbers.

How do even and odd data values differ ?

An even quantity of data values will forever maintain a pair of central numbers. In these circumstances, the middle numbers are attained by calculating the average among the two numbers amidst the set of data. As an illustration, in the series {1, 2, 3, 4}, the dual numeral at the core are 2 and 3.

The mean value between these integers is (2+3)/2=2.5, ultimately making it the center number of this cluster of data. Conversely, an odd number of data inserts shall eternally acquire only one midpoint, simply the figure located within the dataset's nucleus.

Find out more on odd distributions at https://brainly.com/question/1625901

#SPJ1

Which variable is most important to the following problem?
A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
OA. the price of one tent
OB. the number of tents the Army orders
C. the size of each tent

Answers

The variable that is most important to the given problem is the number of tents the Army orders. So, correct option is b.

The tentmaker has 60,000 tents in stock, and the Army orders 350 tents for each of its 200 brigades. So, the total number of tents required by the Army is:

350 x 200 = 70,000 tents

As the number of tents ordered by the Army is greater than the number of tents available in the stock, the tentmaker will not have enough tents to fulfill the Army's order.

The price of one tent and the size of each tent are not relevant to the question of whether the tentmaker will have enough tents in stock to fulfill the Army's order. Therefore, option A and option C are not the most important variables in this problem.

So, correct option is b.

To learn more about variable click on,

https://brainly.com/question/1348849

#SPJ1

when will a normal probability plot appear linear and what does that indicate?

Answers

A normal probability plot (also known as a normal plot or a probability plot) is a graphical tool that can be used to assess whether a set of data follows a normal distribution.

When the data being plotted follows a normal distribution, the points on the plot will appear roughly linear, with deviations from linearity being relatively minor. In other words, the plot will form a straight line.

If the plot deviates significantly from a straight line, it suggests that the data may not be normally distributed. The shape of the plot can indicate whether the data is skewed or has heavy tails compared to a normal distribution.

Therefore, a normal probability plot appearing linear indicates that the data follows a normal distribution. It is important to note that this is only one way to check for normality, and it is always recommended to use multiple methods to verify the normality assumption before applying statistical tests that assume normality.

for such more question on normal distribution

https://brainly.com/question/25224028

#SPJ11

I am interested in comparing the percentage of runners that typically wear sunscreen on a run to the percentage of bikers that typically wear sunscreen on a bike ride. I surveyed 35 runners and 35 bikers and asked them whether or not they typically wear sunscreen while engaged in their respective activities. To answer this question, would you use proportions or means AND is the design dependent or independent samples?
A Two proportions from independent samples
B Two proportions from dependent samples
C Two means from independent samples
D Two means from dependent samples

Answers

A: Two proportions from independent samples would be used to answer this question.

After comparing the percentage of runners that typically wear sunscreen on a run to the percentage of bikers that typically wear sunscreen on a bike ride. The survey is comparing the percentage of runners who wear sunscreen to the percentage of bikers who wear sunscreen, which is a comparison of two proportions. The samples of runners and bikers are independent since they are two separate groups being compared, and the design is not matched or paired in any way. Therefore, option A is the correct choice.

Learn more about proportions:

https://brainly.com/question/870035

#SPJ4

of all the four-digit positive integers containing only digits from the set $\{2,4,6,8\},$ what fraction of them have at least one of their digits repeated?

Answers

the fraction of four-digit positive integers containing only digits from the set {2,4,6,8} that have at least one of their digits repeated is 29/32.



First, let's determine the total number of four-digit positive integers using digits from the set {2,4,6,8}. Since there are 4 choices for each of the 4 digits, there are a total of 4^4 = 256 possible integers.

Next, we'll count the number of four-digit integers without any repeating digits. Since there are 4 choices for the first digit, 3 choices for the second digit, 2 choices for the third digit, and 1 choice for the last digit, there are a total of 4! (4 factorial) = 4 x 3 x 2 x 1 = 24 integers without any repeating digits.

Now, to find the number of integers with at least one repeating digit, we can subtract the number of integers without any repeating digits from the total number of integers: 256 - 24 = 232 integers.

Finally, to find the fraction of these integers with at least one repeating digit, we'll divide the number of integers with at least one repeating digit by the total number of integers: 232/256 = 29/32.

To know more about fraction Visit:

https://brainly.com/question/10354322

#SPJ11

a rectangular piece of cardboard measures 8 cm by 6 cm. what is the perimeter of the piece of cardboard?

Answers

Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm. We can calculate it in the following manner.

The perimeter of the rectangular piece of cardboard is the sum of all four sides. Using the given measurements of 8 cm by 6 cm, we can calculate the perimeter as follows:

Perimeter = 2(Length + Width)
Perimeter = 2(8 cm + 6 cm)
Perimeter = 2(14 cm)
Perimeter = 28 cm

Therefore, the perimeter of the rectangular piece of cardboard is 28 cm.
Hi! To calculate the perimeter of a rectangular piece of cardboard with measurements 8 cm by 6 cm, you can use the formula: Perimeter = 2(Length + Width). In this case, the length is 8 cm and the width is 6 cm.

Your answer: Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm.

Visit here to learn more about perimeter brainly.com/question/6465134

#SPJ11

USA Today (Feb 15. 2007) reported on the results of an opinion poll in which adults were asked what one thing they are most likely to do when they are home sick with a cold or the flu. In the survey, 63% said that they are most likely to sleep and 18% said they would watch television. Although the sample size was not reported, typically opinion polls include approximately 1,000 randomly selected respondents. (a) Assuming a sample size of 1,000 for this poll, construct a 95% confidence interval for the true percentage of all adults who would choose to sleep when they are at home sick. (b) If the true percentage of adults who would choose to sleep when they are home sick is 70%, would you be surprised? Explain.

Answers

The 95% confidence range for the genuine proportion of all individuals who would prefer to sleep at home while unwell is (0.598, 0.662). We would be astonished if the real percentage of adults who prefer to sleep when home sick is 70%, considering the confidence range excludes this amount. In fact,

(a)Using the procedure, we can get a 95% confidence range for the genuine percentage of all individuals who would prefer to sleep when at home sick:

CI = p ± z √(p(1-p)/n)

where p is the sample proportion, z is the z-score corresponding to a 95% confidence level (1.96), and n is the sample size.

Using the given information, we have:

p = 0.63

z = 1.96

n = 1000

Plugging in the values, we get:

CI = 0.63 ± 1.96 √(0.63(1-0.63)/1000)

CI = 0.63 ± 0.032

The 95% confidence interval for the true percentage of all adults who would choose to sleep when they are at home sick is (0.598, 0.662).

(b) If the true percentage of adults who would choose to sleep when they are home sick is 70%, we would be surprised because the confidence interval does not include this value. In fact, the lower bound of the interval is 0.598, which is significantly lower than 70%. This means that we can be fairly confident that the true percentage is less than 70%.

Learn more about z-score

https://brainly.com/question/15016913

#SPJ4

Mookie betts of the boston red sox had the highest batting average for the 2018 major league baseball season. His average was 0.364. So, the likelihood of his getting a hit is 0.364 for each time he bats. Assume he has seven times at bat tonight in the red sox-yankee game. This is an example of what type of probability?

Answers

An example where Mookie betts of the boston red sox had the highest batting average in 2018 with probability of average batts is 0.364 for each is a binomial Probability example.

In the statistics, the concept of probability is handy in figuring out the likelihood a particular outcome would occur for an event or decision. On the basis of probability, one can figure out other related probabilities like the probability of not having that particular outcome or the probability of having only that outcome every time. There is Mookie betts of the boston red sox had the highest batting average in league baseball season.

The average probability = 0.364 for each time of bats.

That is Probability of hitting or success, p = 0.364

Number of trials, n = 7

That is Probability distribution is written as [tex]X \: \tilde \: \: Binom( n,p) [/tex].

After reading all seniror, the probability for seven seven times at bat tonight in the red sox-yankee game is an example of binomial Probability.

For more information about binomial probability, visit:

https://brainly.com/question/15278907

#SPJ4

a union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the u.s. the union will choose a random sample of wages and then estimate using the mean of the sample. what is the minimum sample size needed in order for the union to be confident that its estimate is within of ? suppose that the standard deviation of wages of foodservice workers in the u.s. is about . carry your intermediate computations to at least three decimal places. write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

Answers

The union needs a minimum sample size of 140 to be 95% confident that their estimate of μ is within $0.35 of the true value.

To achieve this level of confidence, the union needs to determine the minimum sample size required. The sample size is important because it affects the precision of the estimate. A larger sample size generally leads to a more precise estimate.

To find the minimum sample size needed, we need to use a formula that relates the sample size, the confidence level, the standard deviation of the population, and the margin of error. The formula is:

n = (z² * σ²) / E²

where n is the sample size, z is the z-score associated with the desired confidence level (in this case, 1.96 for 95% confidence), σ is the standard deviation of the population, and E is the margin of error (in this case, $0.35).

Plugging in the given values, we get:

n = (1.96² * 2.25²) / 0.35² n = 139.79

To know more about sample size here

https://brainly.com/question/30885988

#SPJ4

Complete Question:

A union of restaurant and food service workers would like to estimate the mean hourly wage, μ , of food service workers in the U.S. The union will choose a random sample of wages and then estimate μ using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of μ ?

Suppose that the standard deviation of wages of food service workers in the U.S. is about $2.25. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

In 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both vermont and hawaii. From the survey, vermont had 65. 3% who said yes and hawaii had 62. 2% who said yes. What is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week?.

Answers

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

Learn more about sample proportion here:

brainly.com/question/29912751

#SPJ11

This table shows input and output values for a linear function f(x).

What is the positive difference of outputs for any two inputs that are three values apart?

Enter your answer in the box

Answers

The positive difference of outputs for any two inputs that are three values apart is 1.5.

To find the positive difference of outputs for any two inputs that are three values apart, we can choose two such inputs, calculate their respective outputs, and find the absolute value of their difference. Let's choose -3 and 0 as our inputs, which are three values apart, and find their respective outputs:

f(-3) = -1.5

f(0) = 0

The positive difference between these outputs is:

|f(-3) - f(0)| = |-1.5 - 0| = 1.5

This means that for any two inputs that are three units apart, the output of the function increases or decreases by 1.5 units.

To learn more about linear function click on,

https://brainly.com/question/7325168

#SPJ1

Complete question is:

This table shows input and output values for a linear function f(x) .

What is the positive difference of outputs for any two inputs that are three values apart?

x f(x)

-3 -1.5

-2 -1

-1 -0.5

0 0

1 0.5

2 1

3 1.5

Find F'(x): F(x) = S3x 2 -4(t+1)^1/3 dt

Answers

The derivative of F(x) is [tex]F'(x) = 6 - 12(3x+1)^{(1/3)[/tex].

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[2 to 3x] [tex](2 - 4(t+1)^{(1/3))} dt[/tex]

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[2 to 3x] [tex](2 - 4(t+1)^{(1/3))} dt[/tex]

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

[tex]F'(x) = (2 - 4(3x+1)^{(1/3)}) d(3x)/dx - (2 - 4(2+1)^{(1/3)}) d(2)/dx[/tex]   [applying the chain rule to the upper limit]

[tex]F'(x) = (2 - 4(3x+1)^{(1/3)}) (3) - (2 - 4(2+1)^{(1/3)})[/tex] (0)  [using the power rule for differentiation]

[tex]F'(x) = 6 - 12(3x+1)^{(1/3)[/tex]

Therefore, the derivative of F(x) is [tex]F'(x) = 6 - 12(3x+1)^{(1/3)[/tex].

Learn more about functions on:

https://brainly.com/question/7693326

#SPJ4

A tennis court official selects a random sample of 50 tennis balls that were slated for use in a highly contested match. He randomly assigns half of them to be subjected to 90 degree heat to replicate the presumed temperature at match time. The other half are run through a machine that replicates the action of hitting the ball 500 times. After the treatments, he inspects the balls for wear and tear.
Which of the following conclusions can we draw from this study?
A: We can make inferences based on the results of this study for the population of all tennis balls slated for use in the match.
B: We can draw conclusions about cause and effect for the population of tennis balls slated for use in the match.

Answers

We can draw from this study that we can make inferences based on the results of this study for the population of all tennis balls slated for use in the match.

Based on the information provided, the tennis court official conducts an experiment where a random sample of 50 tennis balls is selected and subjected to different treatments to inspect wear and tear. From this study, we can draw the following conclusion:

A: We can make inferences based on the results of this study for the population of all tennis balls slated for use in the match.

This is because the tennis court official selected a random sample of tennis balls and subjected them to different conditions, allowing us to make inferences about how the entire population of tennis balls might be affected under similar conditions.

Learn more about temparature here,

https://brainly.com/question/982293

#SPJ4

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the venn diagram. Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?.

Answers

The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6

To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.

So, the probability that a randomly chosen customer who likes cake also likes pie is:

P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake

P(pie | cake) = 10/15

P(pie | cake) = 2/3

Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.

Visit here to learn more about probability brainly.com/question/32117953

#SPJ11

Answer: 2/3

Step-by-step explanation:

PLEASEEEE SOMEONE HELP I GIVE AS MUCH POINTS :’( Thank you!

Answers

The approximate area of the trapezoid is determined as  13.95 unit².

What is the approximate area of the trapezoid?

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

b₁ and b₂ are the lengths of the parallel sidesh is the height

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

Learn more about approximate area of trapezoid here: https://brainly.com/question/22357828

#SPJ1

1 recursively defined functions find f (1), f (2), f (3), f (4), f (5) if f (n) is defined recursively by f (0)

Answers

If f is defined recursively by f(0) = −1, f(1) = 2, and f(n + 1) = f(n) + 3f(n − 1) for n = 1,2,3,4,5 then f(2)=-1, f(3)=5, f(4)=2, f(5)=17

f(0) = -1

f(1) = 2

need to find  f(2), f(3), f(4), and f(5)

f(2) =f(1+1)

we have  f(n + 1) = f(n) +  3f(n − 1)

therefore f(2)= f(1) + 3 * f(0)

but we have f(1)= 2  and f(0)=1 (given)

therefore required f(2)=2+ 3 * (-1)

                                = 2-3    

                            f(2)=-1   ----> equation (1)

need to find  f(3)

f(3)=f((2+1)

here n=2

by def we have  f(n + 1) = f(n) +  3f(n − 1)

f(3)=f(2)+3f(2-1)

   =f(2)+3f(1)

but f(2)=-1 from the above calculated and f(1)=2 given

therefore f(3)=-1+3(2)

                =-1+6

         f(3)  =5        ------------------------>(2)

need to find f(4)

f(4)=f(3+1)

there n=3

therefore by def

f(4)=f(3)+3f(3-1)

     =f(3) +3f(2)

substituing the values of f(3) from  equation (2) and f(2) from  equation 1

f(4)=5+3(-1)

       =5-3

    f(4)   =2-------------------------------------------(3)

need to find f(5)

f(5)=f(4+1)

by def

f(n + 1) = f(n) +  3f(n − 1)

therefore f(5)=f(4)+3f(4-1)

                 =f(4)+3f(3)

Substitute the values from equations (3) and (2) we get

    f(5)=2+3(5)

           =2+15

         f(5)  =17

Therefore, If f is defined recursively by f(0) = −1, f(1) = 2, and f(n + 1) = f(n) + 3f(n − 1) for n = 1,2,3,4,5 then f(2)=-1, f(3)=5, f(4)=2, f(5)=17

To know more about equation check the below link:

https://brainly.com/question/17145398

#SPJ4

Full question:

Find f(2), f(3), f(4), and f(5) if f is defined recursively by f(0) = −1, f(1) = 2, and f(n + 1) = f(n) + 3f(n − 1) for n = 1,2,3,4,5

Match it please.................................................................................ooooo.

Answers

We can match the tape diagrams to the descriptive texts as follows:

1. Kevin spends $13 at a fair. He bought 3 tickets to go on rides and he paid a $4 fee to enter the fair.

2. Knox has 13 cups of soda. He pours equal amounts for four friends and has 3 cups left for himself.

3. Nancy spends 4 hours training for a triathlon. She spends three hours swimming and then bikes 13 miles at a constant pace.

How to match the diagrams to the texts

To match the diagrams to the text, we can first begin by checking the figures described and equating them to the corresponding boxes. For instance, in the first diagram, there are 3 boxes with the x sign which indicate the three tickets that Kevin purchased.

The extra $4 entrance fee is indicated by the 4 in the last box. So, this method is how one can match the diagrams to their descriptions effectively.

Learn more about tape diagrams and equations here:

https://brainly.com/question/26354395

#SPJ1

how many license plates can be made using either two uppercase english letters followed by four digits or four uppercase english letters followed by two digits?

Answers

There are 26 uppercase English letters and 10 digits (0 to 9). Therefore, there are $26 \times 26 \times 10 \times 10 \times 10 \times 10 = 67,!600,!000$ ways to form a license plate with two uppercase English letters followed by four digits.

Similarly, there are $26 \times 26 \times 26 \times 26 \times 10 \times 10 = 45,!697,!600$ ways to form a license plate with four uppercase English letters followed by two digits.

The total number of possible license plates is the sum of these two numbers:

67,600,000 + 45,697,600 = 113,297,600

Therefore, there are $113,!297,!600$ possible license plates that can be made using either two uppercase English letters followed by four digits or four uppercase English letters followed by two digits.

Learn more about Permutation Combination here:-brainly.com/question/4658834

#SPJ11

find the length and width of a rectangle whose width is 10 cm shorter than its length and whose area is 200 cm2.

Answers

Let's call the length of the rectangle "L" and the width "W". We know that the width is 10 cm shorter than the length, so we can write.

W = L - 10
We also know that the area of the rectangle is 200 cm 2, so we can write:
A = L x W
Substituting W = L - 10, we get:
A = L x (L - 10)
Expanding the brackets, we get:
A = L^2 - 10L
Now we can substitute in A = 200 and solve for L:
200 = L^2 - 10L
0 = L^2 - 10L - 200
We can use the quadratic formula to solve for L:
L = (-b ± sqrt(b^2 - 4ac)) / 2a
Where a = 1, b = -10, and c = -200. Plugging in these values, we get:
L = (10 ± sqrt(10^2 - 4(1)(-200))) / 2(1)
L = (10 ± sqrt(1100)) / 2
L = (10 ± 10sqrt(11)) / 2
L ≈ 19.9 or L ≈ -9.9
We can disregard the negative solution since we're dealing with lengths, so the length of the rectangle is approximately 19.9 cm.
Now we can use W = L - 10 to find the width:
W = 19.9 - 10
W ≈ 9.9 cm
Therefore, the length of the rectangle is approximately 19.9 cm and the width is approximately 9.9 cm.

To find the length and width of a rectangle whose width is 10 cm shorter than its length and whose area is 200 cm², follow these steps:
1. Define the variables: Let the length of the rectangle be L cm, and the width be W cm.
2. Use the given information: Since the width is 10 cm shorter than the length, we can write the equation W = L - 10.
3. Use the formula for the area of a rectangle: The area of a rectangle is given by the formula A = L × W.
4. Substitute the given area and the equation from step 2: In this problem, the area is 200 cm², so we have 200 = L × (L - 10).
5. Solve the equation for L: Expand the equation to get 200 = L² - 10L. Rearrange the equation to L² - 10L - 200 = 0.
6. Factor the quadratic equation or use the quadratic formula: (L - 20)(L + 10) = 0. This gives two possible values for L: L = 20 cm or L = -10 cm.
7. Discard the negative value: Since the length of a rectangle cannot be negative, we discard the value L = -10 cm. So, the length L is 20 cm.
8. Find the width using the equation from step 2: W = L - 10 = 20 - 10 = 10 cm.
Thus, the length and width of the rectangle are 20 cm and 10 cm, respectively.

Visit here to learn more about quadratic equation:

brainly.com/question/30098550

#SPJ11

Other Questions
Morgan's teacher read her a list of U.S. presidents and instructed her to find several facts on each as part of a homework assignment. However, Morgan failed to write the list down. She can remember the first few presidents the teacher mentioned, though. Morgan's memory for these presidents reflects the _____ effect.recencyprimacytestingserial position the one million masterpiece is a global art project with the goal of collecting tiny digital pictures from online contributors and stitching them together into a giant canvas. which of these is most likely true about the contributed pictures to the project? Samson Wholesale Beverage Company regularly factors its accounts receivable with the Milpitas Finance Company. On April 30, 2016, the company transferred $920,000 of accounts receivable to Milpitas. The transfer was made without recourse. Milpitas remits 85% of the factored amount and retains 15%. When Milpitas collects the receivables, it remits to Samson the retained amount less a 2% fee (2% of the total factored amount). Samson estimates the fair value of the last 15% of its receivables to be $72,000. RequiredPrepare journal entries for Samson Wholesale Beverage for the transfer of accounts receivable on April 30 assuming the sale criteria are met. Possible sites of ulnar nerve compression? At what speed must a 150 kg football player be moving to have the smae momentum as a 15 g bullet traveling at 300 m/s? A patient with primary tuberculosis develops preallergic lymphatic/hematogenous dissemination. Later in life, what might happen to him? An infant is born by cesarean section at 27 weeks' gestation. The baby weighs 945 g. The baby's lungs are immature, and the baby develops respiratory distress syndrome, requiring a 25-day hospital stay in the NICU. Discharge diagnosis: Extreme immaturity, with 27-week gestation, with respiratory distress syndrome, delivered by cesarean section. Which of the following diagnosis codes would be correct?A. Z38.01B. P07.03, P07.27C. Z38.01, P07.03, P07.27, P22.0D. Z38.01, P22.0 49) A laboratory vacuum pump can reduce the pressure in a chamber to 1.0 10-7 Pa. If the volume of the chamber is 0.500 m3 and the temperature is 27C, how many molecules are left inside the chamber? (NA = 6.022 1023 molecules/mol, R = 8.31 J/mol K)A) 1.2 1013B) 2.4 1013C) 1.2 1012D) 2.4 1012E) 1.2 1014 when the feces of an animal becomes fossilized, these can tell paleontologists a lot about the animal which made them, including whether the animal was a carnivore or herbivore, and a general sense of the size of the animal. T/F? if you increase the volume of a container while keeping temperature and number of moles constant, will gas pressure increase or decrease? explain why and state which gas law this correlates to. Eisenhower's political philosophy and way of running administration a hook echo in the radar imagery of a supercell thunderstorm indicates the storm is no longer capable of producing tornadoes.T/F What are the problems identified with the modal model of memory (Atkinson & Shiffrin 1968)? d strongly believes that it is easier to do a job the same way every day, and learning an entirely new set of steps makes the job more difficult. which source of individual resistance to change does ned display here? question 47 options: a) economic factors b) social factors c) habit d) lack of awareness e) fear of the unknown Light of unknown wavelength shines on a precisely machined wedge of glass with refractive index 1.52. the closest point to the apex of the wedge where reflection is enhanced occurs where the wedge is 98 nm thick.Find the wavelength What is an availability zone?A) Location that data is replicated toB) Local datacenter that your cluster is located inC) Location that data is replicated from Which sentence contains an idiom?Four score and seven years ago, we had to use telephones with wires.Lucas approached the speed of light as he raced away from the hornets nest.I know that you are having a bad day, but please dont rain on my parade.Meredith banged on the drums until the last memory of her horrible day faded away. Which metric describes the proportion of each species present in a community?. which of the following accounts has a normal credit balance? a. copyrights b. supplies expense c. accounts receivable d. common stock This button opens a list of commonly used statistical functions.