Option D (No, as there are two heights associated with the wrist circumference of 16 cm.
What is meant by graph?An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph.
The wrist circumferences and heights of six kids in Alyssa's class are represented by a collection of points in the graph that is shown.
The height is represented by the y axis, and the wrist circumference by the x axis.
Any relation is referred to as a function if there is only one value of y for any given value of x. The graph is referred to as a function if it passes the vertical line test, which requires that a vertical line be drawn and only touch the graph once.
There are two y values (162 and 165) on the above graph for the x value of x=16.
The graph is not a function as a result.
Among the possibilities The correct response is option D, "No," since the wrist circumference of 16 cm pairs with two heights.
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How do you find the sum of the arithmetic series 1 + 3 + 5 + ... + 27?
Answer:
sum = 196
Step-by-step explanation:
the sum to n terms of an arithmetic series, when the first and last terms are known is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( first term + last term)
we require to find the number of terms in the series
the nth term of an arithmetic series is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then
1 + 2(n - 1) = 27 ( subtract 1 from both sides )
2(n - 1) = 26 ( divide both sides by 2 )
n - 1 = 13 ( add 1 to both sides )
n = 14 ← number of terms in the series
Then
S₁₄ = [tex]\frac{14}{2}[/tex] (1 + 27) = 7 × 28 = 196
Find AB in simplest form, if A(-3, 4) and B(4, 7).
Answer: AB≈7.62 units
Step-by-step explanation:
A(-3,4) B(4,7)
[tex]\boxed {L=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }\\\\x_1=-3\ \ \ \ x_2=4\ \ \ \ y_1=4\ \ \ \ y_2=7[/tex]
Hence,
[tex]AB=\sqrt{(4-(-3))^2+(7-4)^2} \\\\AB=\sqrt{(4+3)^2+3^2} \\\\AB=\sqrt{7^2+9} \\\\AB=\sqrt{49+9} \\\\AB=\sqrt{58} \\\\AB\approx7.62\ units[/tex]
The distance between (2, 3) and (1, 7) is:
117.
1.
16.
17.
Answer:
Sqrt of 4²+ (-1)² = Sqrt. of 17
Step-by-step explanation:
2 points in a coordinate grid create a right-angled triangle.
the distance is the Hypotenuse (the side opposite of the 90° angle). and the x coordinate and y coordinate differences are the legs.
and with that we use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a and b being the legs.
so, in our case :
distance² = (1 - 2)² + (7 - 3)² = (-1)² + 4² = 1 + 16 = 17
distance = sqrt(17)
a basketball player claims to make 47% of her shots from the field. we want to simulate the player taking sets of 10 shots, assuming that her claim is true. a total of 25 repetitions of a simulation were performed. the number of makes in each set of 10 simulated shots was recorded on the dotplot as shown below. suppose this player attempts 10 shots in a game and makes only 3 of them. does this provide convincing evidence that she is less than a 47% shooter?
Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.
It is given to us that -
A basketball player claims to make 47% of her shots from the field
The player takes sets of 10 shots
Assuming that her claim is true, a total of 25 repetitions of a simulation were performed
The number of makes in each set of 10 simulated shots was recorded on the dot plot
We have to suppose this player attempts 10 shots in a game and makes only 3 of them.
For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.
From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -
P (x = 3) = 3/10 = 0.33 = 33%
Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.
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the difference between a number and three fifths is a minimum of negative four sevenths
The inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equation-like form of the formula 5x − 4 > 2x + 3 has an arrowhead in place of the equals sign.
It is an illustration of inequity.
This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.
Finding the x numbers for which the inequality holds true is what we are most interested in.
So, the answer to the query is:
A number's deviation from three-fifths is equal to f - 3/5.
The entire statement is at least four sevenths in the negative.
Therefore, the inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.
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Complete question;
Write the inequality for the statement:
the difference between a number and three-fifths is a minimum of negative four sevenths
f minus 3 over 5 is greater than or equal to 4 over 7
f minus 3 over 5 is greater than or equal to negative 4 over 7
f plus 3 over 5 is greater than negative 4 over 7
f minus 3 over 5 is less than or equal to negative 4 over 7
It’s number 2 pls help
Answer: -72·a^8·b^9
Step-by-step explanation:
(-8·a^6·b³)(9·a²·b^6)
combine all the like terms:
-72·a^8·b^9
There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
at a baseball game the batter hits a ground ball for a base hit and runs to first base. true or false: the batter's distance from the first base bag is a function of time. true or false
The given statement that 'the batter's distance from the first base bag is a function of time.' is false.
If we need to call any quantity a function of any other quantity, we need to know what it means first. For this, we take the example of velocity. If we say that velocity is a function of time, what we mean is that the function is such that we input time and get velocity as the output. That quantity changes as the input increases or decreases.
We can deem distance as a function of time when it changes with respect to it. Here, it is evident that the distance between the batter and the first base is not going to change. Thus, it is not a function of time and the given statement is false.
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How do you find the derivative of 1/(1+x^2) ?
The answer is:
- 2x/(1+x^2)^2
Four apples and three bananas cost £4.48
Three apples and four bananas cost £4.76
Work out the cost of an apple and the cost of a banana.
Answer:
To solve this problem, we can set up a system of two equations to represent the given information:Let A be the cost of an apple and B be the cost of a banana.Then the first equation is: 4A + 3B = 4.48
The second equation is: 3A + 4B = 4.76To find the values of A and B, we can solve this system of equations using substitution or elimination.Using substitution, we can solve for A in the first equation and substitute that expression into the second equation:4A + 3B = 4.48
A = (4.48 - 3B)/4Substituting this expression for A into the second equation gives:3((4.48 - 3B)/4) + 4B = 4.76
3(4.48 - 3B) + 4B = 4.76
13.44 - 9B + 4B = 4.76
4.44 - 5B = 4.76
-5B = -0.32
B = 0.064Now that we have found the value of B, we can substitute it back into the first equation to find the value of A:4A + 3(0.064) = 4.48
4A + 0.192 = 4.48
4A = 4.288
A = 1.072Therefore, the cost of an apple is £1.072 and the cost of a banana is £0.064.
Step-by-step explanation:
Answer:
The answer is below
8/6 + (-9/5) simplest answer
Answer:
-7/15
Step-by-step explanation:
-3$8(47#+$'++#$)3!_+$7$jrjdjd
Answer:
- 7/15
Step-by-step explanation:
Must convert to a common denominator to add or subtract fractions
I'll use 30
8/6 = 40/30
-9/5 = -54/30
(40-54) /30 = -14/30 = - 7/15
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
one apple and six bananas cost £2.70
one apple and eight bananas cost £3.50
Work out the cost of an apple and a banana
PLSSS HELP TYSM
Answer:
An apple costs 0.30 pounds and a banana costs 0.40 pounds.
Step-by-step explanation:
Let's think of apples as x and bananas as y.
Using the given information, you can write two equations.
[tex]x+6y=2.70[/tex]
[tex]x+8y=3.50[/tex]
x can also be written as
[tex]x=2.70-6y[/tex]
We can plug this equation into the second one to solve for y, or the cost of a banana.
[tex](2.70-6y)+8y=3.50[/tex]
[tex]2y=0.8[/tex]
[tex]y=0.4[/tex]
Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.
[tex]x+6(0.4)=2.70[/tex]
[tex]x=0.30[/tex]
Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.
Find the equation for a polynomial f(x) that satisfies the following:
Degree 3
Zero at x=−1
Zero at x=−4
Zero at x=−1
y-intercept of (0,8)
f(x)=
The polynomial with the given degree and zeros is:
y = 2*(x + 1)²*(x + 4)
How to find the equation of the polynomial?A polynomial of degree N with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:
y = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
Here we know that the degree is 3, and the zeros are {-1, -4, -1}
Then we can write the polynomial as:
y = a*(x + 1)*(x + 4)*(x + 1)
y = a*(x + 1)²*(x + 4)
We also know that the polynomial passes through (0, 8), replacing these values we will get:
8 = a*(0 + 1)²^*(0 + 4)
8 = a*1*4
8/4 = a
2 = a
The polynomial is:
y = 2*(x + 1)²*(x + 4)
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the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes. what is the probability that it takes hugo less than 8 minutes to solve a rubik's cube?
The probability that hugo will solve rubik's cube in less than 8 minutes is 0.4375.
We have given that,
the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes.
i.e. a = 4.5 and b = 12.5
The probability that we find a value of X lower than x is given by the f
P(X < x) = [tex]\frac{x-a}{b-a}[/tex]
We have to find probability that it takes hugo less than 8 minutes to solve rubik's cube.
Therefore
P(X < 8) = [tex]\frac{8-4.5}{12.5-4.5}[/tex]
= [tex]\frac{3.5}{8}[/tex]
P(X < 8) = 0.4375
Hence the probability that it takes hugo less than 8 minutes to solve a rubik's cube is 0.4375%.
The uniform continuous distribution is one of the simplest probability distributions in statistics. Is is a continuous distribution, this means that it takes values within a specified range. A continuous uniform distribution takes values in a range [a,b].
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Carlos earns 44.55 in 9 hours. Maggie earns 51 in 12 hours
By taking some products, we can see that if both of them work for 20 hours each, they will earn a total of 184 dollars.
How much do Carlos and Maggie earn if they work for 20 hours?After a small search online I found that we want to find how much will they earn (together) if both of them work for 20 hours.
We know that Carlos earns $44.55 in 9 hours, then the amount that he wins per hour is:
C = $44.55/9h
In 20 hours he will earn 20 times that, so the amount that Carlos earns in 20 hours is given by the product:
Carlos = 20h*($44.55/9h )
Similarly, Maggie earns per hour:
M = ($51/12h)
And in 20 hours, she will win:
Maggie = 20h*($51/12h)
The total amount that they earn together is:
20h*($44.55/9h ) + 20h*($51/12h) = $184.
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a circle has a radius of 9 in . find the length of the arc intercepted by a central angle of 1.1 radians. do not round any intermediate computations, and round your answer to the nearest tenth.
Central angle intercepted by arc is 0.7 radian
What is length of arc intercepted by central angle ?
The length l of the arc intercepted on a circle of radius r by a central angle of measure θ radians is given by: l = r θ where θ is in radians.
In a circle of radius 1, the measure of a central angle in radians will be equal to the length of the intercepted arc.
Arc length is l=r⋅θ; l=9, r=13, θ=?;
l. r, θ are arc length , radius of circle and central angle intercepted by arc .
∴9 = 13⋅θ
∴θ = 9/13 ≈ 0.7(1dp) radian
Central angle intercepted by arc is 0.7(1dp) radian
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4 Which trinomial is equivalent to
3(x-2)²-2(x-1)?
1) 3x²-2x-10
2)
3x² - 2x - 14
3)
3x² - 14x+10
4)
3x²-14x+14
Answer: 4) 3x²-14x+14
Explanation:
3(x-2)²-2(x-1)Use the binomial theorem (a−b)² = a² - 2ab + b² to expand (x-2)².
3(x²-4x+4)-2(x-1)Use the distributive property to multiply 3 by x²-4x+4.
3x²-12x+12-2(x-1)Use the distributive property to multiply −2 by x−1.
3x²-12x+12-2x+2Combine −12x and −2x to get −14x.
3x²−14x+12+2Add 12 and 2 to get 14.
3x²-14x+14It is 3x²+14x+14, the trinomial equivalent to 3(x-2)²-2(x-1). OPTION 4.
a random sample of 150 u.s. adults is composed of 100 people from non-rural areas and 50 people from rural areas. estimate the confidence interval for the fraction of the population that is non-rural with 99% confidence. what is the lower limit of the confidence interval?
With 99% confidence, we can estimate that the fraction of the population that is non-rural is between 0.60 and 0.74.
To estimate the confidence interval for the fraction of the population that is non-rural with 99% confidence, we need to use the following formula:
Point estimate +/- (critical value * standard error)
Where the point estimate is the sample proportion of non-rural adults (100/150 = 0.67), the critical value is the z-score corresponding to a confidence level of 99% (2.575), and the standard error is the standard deviation of the sampling distribution of the sample proportion (which is equal to the square root of [(sample proportion * (1 - sample proportion)) / sample size]).
Plugging in the values, we get:
0.67 +/- (2.575 * sqrt[(0.67 * (1 - 0.67)) / 150])
Solving this equation gives us a lower limit of 0.60 for the confidence interval.
Thus, with 99% confidence, we can estimate that the fraction of the population that is non-rural is between 0.60 and 0.74.
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Look at lines PR and ST shown. Suppose a dilation with a scale factor of 2 and a center of dilation at point P is performed on line QR and ST.
Which statements are true about the resulting images Q'R' and S'T'? Select ALL that apply.
1. True (The center of dilation lies on the segment)
2. False (The center of dilation does not line on the segment)
3. False (The center of dilation lies on the segment)
4. True (Since the segments are not collinear as a result of the dilation, they are parallel)
5. True (Scale factor is 2)
6. False (Scale factor is 2)
7. True (by definition)
8. True (by definition)
it is due tonight help!
There are 3 dimes and 12 nickels
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
let x = the number of dimes
then 4x = the number of nickels =y
0.05(4x) = the value of the nickels
0.10x = the value of the dimes
Since the total value of the coins is $0.90 we can write the equation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
Divide both sides by 0.3
x = 3
Hence, there are 3 dimes and 12 nickels
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help pls cause i dont understand it
The slope of the line of image 1 is 2
The slope of the line of image 2 is 5/2
The slope of the line of image 3 is 2/5.
What is a slope?The same number is given for every two different points on the same line when the ratio is stated as a quotient ("rise over run"). On a falling line, there is a negative "rise." In a diagram that depicts a roof or a road as a description or a design, the line may be practical as established by a road surveyor.
The slope of the line of image 1 is:
The line is passing through the points (6, 10 and (2, 2)
So,
Slope=(y₂-y₁)/(x₂-x₁)
m=(2-10)/(2-6)
m=8/4
m=2
Therefore, the slope of the line for image 1 is 2.
Hence, option A is correct.
The slope of the line for image 2 is:
The line is passing through the points (3, 4) and (7, 14)
Slope=(y₂-y₁)/(x₂-x₁)
m=(14-4)/(7-3)
m=10/4
Therefore, the slope of the line for the image 2 is 5/2.
Hence, option F is correct.
The slope of the line for image 3 is:
The line is passing through the points (2, 1) and (7, 3)
Slope=(y₂-y₁)/(x₂-x₁)
m=(3-1)/(7-2)
m=2/5
Therefore, the slope of the line for the image 3 is 2/5
Therefore, option D is correct.
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identify the most appropriate test to use for the following situation: a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant? a) matched pairs b) two sample z test c) two sample t test d) one sample t test
The most appropriate test to use the given situation is option (B) two sample z test
Total number of alumni were surveyed = 1046
Number of alumni attempted at least one class reunion = 653
Similarly, in public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion.
The two sample z test is used to compare the means of two samples to see if it is feasible that they come from the same population.
The difference in the sample proportion is statistically significant
Therefore, the correct test for the situation is option (B) two sample z test
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Identify the statistical test in which the mean difference between two groups are compared to a distribution of differences between means.
a. independent-samples t test
b. paired-samples t test
c. z test
d. single-sample t test
The statistical test in which the mean difference between two groups are compared to a distribution of differences between means is (b) paired-samples t-test.
The t-test, one of the most used statistical tests, is used to ascertain whether the means of two groups are equal. The test's underlying presumption is that samples from normal distributions with similar variances were used for both groups.
The two means are equal, which is the null hypothesis; otherwise, they are not. We can calculate a t-statistic that will follow a t-distribution with n1 + n2 - 2 degrees of freedom under the null hypothesis.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The values of x in the equation are (a) x = 13 and (b) x = 1
How to determine the values of x for the equation?From the question, we have the following parameters that can be used in our computation:
(x - 7)2 = 36
This equation when expressed properly is
(x - 7)² = 36
Take the square roots of both sides of the equation
So, we have the following representation
x - 7 = ±6
Add 7 to both sides of the equation
This gives
x = 7 ± 6
Evaluate the sum and the difference
x = 1 and 13
Hence, the solutions are (a) and (b)
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Quick I need help pleaseeeeeeee "What is the sum of all interior angles of a 28-sided regular polygon?"
5,040°
4,680°
180°
167°
The sum of all interior angles of a 28-sided regular polygon is 4680°.
What is a polygon ?
The definition of a polygon is a closed, two-dimensional, plane shape created by connecting three or more line segments. During our study of geometry, polygons are a common sight.
Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of many kinds can be seen all around us. For instance, a honeycomb is shaped like a hexagon.
An n-sided polygon's inner angle measurements added together equal to (n-2)180°. As a result, for a polygon of 28 sides, the sum of the interior angle measurements is 26(180°) = 4680°.
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Answer:
b) 4,680
Step-by-step explanation:
hope this helps
The equation y = 20x + 500 models the relationship between the number of video games, x, a company manufactures and the cost in dollars, y, to manufacture that number.
A recipe for one batch of cookies calls for 3 cups of sugar and 2 tablespoons of salt.
How many sugar would you need for 8 batches of cookies?
Answer: 24 cups of sugar
Step-by-step explanation: you multiple the orginal amount neede for one batch by 8
8*3=24
Cylindrical paper dryerse are used in pulp and paper mills. One dryer has diameter 1.5m and length 2.5m.
What is the area of the curved surface of this dryer?
The area of the curved surface of the dryer is 11.775m
What is the cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.
What are the examples of cylinders?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a certain height from the center. Real-world examples of cylinders are toilet paper rolls and cold beverage cans.
We know, the formula for curved surface of cylinder is 2pirh
putting the desired value in the equation we get
11.775m
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Bill had 15 coins in his pocket, some quarters and the rest, dimes. If he had
$3.30 in his pocket, how many were quarters and how many were dimes?
Answer:
Step-by-step explanation:
So bill haves 12 quarters and 3 dimes
