For the following right triangle, find the side length x.
A = 40
X
B = 9

Answers

Answer 1

Answer:

41

Step-by-step explanation:

Use the Pythagorean Theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

Plug in the values.

[tex]40^{2} +9^{2} =c^{2}[/tex]

Simplify.

[tex]1600+81=c^{2}[/tex]

Add.

[tex]1681=c^{2}[/tex]

Take the square root of both sides.

[tex]\sqrt{1681}=\sqrt{ c^{2}[/tex]

41=c

Answer 2
They answer is or should be 41

Related Questions

typically, in which type of claim is it most important to have a random sample?

Answers

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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A quarterback completes 24 out of 37 passes. Based on this information, what are the odds that he will complete the next pass he throws?

Answers

To calculate the odds that the quarterback will complete the next pass he throws, we need to know the ratio of successful outcomes (pass completions) to total outcomes (all passes attempted).

The quarterback has completed 24 out of 37 passes, so the ratio of successful outcomes to total outcomes is:

24/37

To convert this to odds, we divide the ratio of successful outcomes by the ratio of unsuccessful outcomes:

24/37 ÷ 13/37

Simplifying the division gives us:

24/13

Therefore, the odds that the quarterback will complete the next pass he throws are 24 to 13, or approximately 1.85 to 1.

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Give an example of each survey question type below that would relate to an athletic shoe company.

Answers

Answer:

Dichotomous - Do you think our new line of football shoes are suitable for playing football? (Answer options: Yes Or No)

Rating Scale - On a scale from 1 to 10, how often do you purchase our brand of athletic shoes? (1 being never, 10 being extremely frequently.)

Open-Ended - Which line of our shoes do you find most suitable for playing sports, and why?

Multiple Choice - Which of the follow athletic shoes do you purchase from our company? (Basketball, baseball, football, hiking, or none of the above)

Completion - Fill in the following blank with the type of shoe that best applies to you : I purchase _____ shoes from Athletics Shoe Company.

What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 1 or use 3.14 for and enter your answer as a decimal.
cubic units

Answers

Answer:

50.26548 Hope that helps

Step-by-step explanation:

v= πr^2

ng
city
4.
N
e by
9. Marcia walked 900 meters on Friday.
On Saturday, she walked 4 kilometers.
On Sunday, she walked 3 kilometers,
600 meters. How many kilometers did
Marcia walk over all three days?
N

Answers

The total distance that she walks over all three days is 8.5 km.

Given that:

Marcia walked 900 meters on Friday.

On Saturday, she walked 4 kilometers.

On Sunday, she walked 3 kilometers and 600 meters.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

The total distance that she walks over all three days is given as,

⇒ 900 m + 4 km + 3 km + 600 m

⇒ 7 km + 1,500/1,000 km

⇒ 7 + 1.5

⇒ 8.5 km

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How do you solve a system of equations using substitution?

How do you solve a system of equations by graphing?

Answers

Step-by-step explanation:

How to solve a system of equations using substitution:

1. Choose one of the equations and solve for one of the variables in terms of the other variable.

2. Substitute the expression you found in step 1 into the other equation for the variable you solved for.

3. Solve for the remaining variable.

4. Substitute the value you found in step 3 into either of the original equations to find the value of the other variable.

5. Check your solution by plugging in the values you found in both original equations to make sure they are true.

Example:

Solve the system of equations below using substitution:

2x + y = 8

x - y = 2

1. Solve the second equation for x in terms of y:

x = y + 2

2. Substitute the expression for x from step 1 into the first equation:

2(y + 2) + y = 8

3. Simplify and solve for y:

2y + 4 + y = 8

3y = 4

y = 4/3

4. Substitute the value of y into either of the original equations to find x:

x - (4/3) = 2

x = 8/3

5. Check the solution by plugging in both values into both original equations:

2(8/3) + (4/3) = 8 (true)

(8/3) - (4/3) = 2 (true)

Therefore, the solution to the system of equations is (8/3, 4/3).

How to solve a system of equations by graphing:

1. Rewrite each equation in slope-intercept form, y = mx + b.

2. Graph each equation on the same coordinate plane.

3. Find the point of intersection of the two lines. This is the solution to the system of equations.

4. Check your solution by plugging in the values into both original equations to make sure they are true.

Example:

Solve the system of equations below by graphing:

y = 2x - 1

y = -x + 3

1. Rewrite each equation in slope-intercept form:

y = 2x - 1 is already in slope-intercept form.

y = -x + 3 can be rewritten as y = -1x + 3.

2. Graph each equation on the same coordinate plane:

The two lines intersect at the point (1, 1).

3. Check the solution by plugging in both values into both original equations:

y = 2x - 1: 1 = 2(1) - 1 (true)

y = -x + 3: 1 = -(1) + 3 (true)

Therefore, the solution to the system of equations is (1, 1).

Answer:

Substitution:

Solve one of the equations for either variable.

Substitute the expression from Step 1 into the other equation.

Solve the resulting equation.

Substitute the solution in Step 3 into one of the original equations to find the other variable.

Write the solution as an ordered pair.

Check that the ordered pair is a solution to both original equations.

Graphing:

Graph the first equation.

Graph the second equation on the same rectangular coordinate system.

Determine whether the lines intersect, are parallel, or are the same line.

Identify the solution to the system.

If the lines intersect, identify the point of intersection. Check to make sure it is a solution to both equations. This is the solution to the system.

If the lines are parallel, the system has no solution.

If the lines are the same, the system has an infinite number of solutions.

7000 in scientific notation​

Answers

7000 in scientific notation is 7.0 x 10^3.

how do you find eg?

Answers

Step-by-step explanation:

L side   18  + 10  + 12 = 40

R side = 28

The R side is cut up into lengths of the same ratios as the L

EG =  10 / 40   * 28 =  7

a bag contains 15 pieces of candy, 9 of which are lemon drops. in how many ways can 3 lemon drops be selected?

Answers

There are 84 ways to select 3 lemon drops from the bag.

To arrive at this answer, we can use the combination formula:

nCr = n! / r! (n-r)!

Where n is the total number of items in the bag (15), r is the number of items we want to select (3), and ! represents factorial (the product of all positive integers up to that number).

So, to find the number of ways to select 3 lemon drops, we plug in n=9 and r=3:

9C3 = 9! / 3!(9-3)!
= (9 x 8 x 7) / (3 x 2 x 1)
= 84

Therefore, there are 84 ways to select 3 lemon drops from the bag.

using the combination formula, we can determine the number of ways to select a specific number of items from a larger set. In this case, there are 84 ways to select 3 lemon drops from a bag containing 15 pieces of candy, 9 of which are lemon drops.

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a circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.04 cm long. what is the length of the arc subtended by the angle's rays?

Answers

The length of the arc subtended by the angle's rays is 0.02 times the radius of the circle



To find the length of the arc subtended by the angle's rays, we need to know the angle measure. Since we know that 1/360th of the circumference is 0.04 cm long, we can find the circumference by multiplying 0.04 cm by 360, which gives us 14.4 cm.

Now, we need to find the angle measure. Since the circle is centered at the vertex of the angle, the angle measures half the arc it subtends. Thus, we can find the angle measure by dividing the circumference by 2 and then multiplying by 1/360.

Angle measure = (14.4/2) x (1/360) = 0.02 radians

Finally, we can find the length of the arc subtended by the angle's rays by multiplying the angle measure by the radius of the circle.

Length of arc = 0.02 x radius


The length of the arc subtended by the angle's rays is 0.02 times the radius of the circle. The given information of 1/360th of the circumference being 0.04 cm long helped us find the circumference and subsequently the angle measure.

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the smith family consists of a mother, father, and some children. the average age of the family is 20 yrs. old. the father is 48 yrs. old, and the average age of the mother and children is 16. how many children are in the smith family?

Answers

This is a contradiction, which means that our initial assumption that there are n children is incorrect. Therefore, there is no solution to this problem that satisfies the given conditions.

Let's assume that there are n children in the Smith family.

We know that the father is 48 years old, so the sum of the ages of the mother and children is:

Total age = (n + 1) * 20 (as there are n children and 1 father)

And we also know that the average age of the mother and children is 16, so we can write:

Total age / (n + 1) = 16

Combining these two equations, we get:

(n + 1) * 20 / (n + 1) = 16

Simplifying, we get:

20 = 16

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50 divided by 18 pls help

Answers

2.8

50/18 is 2.7777 but round it up it is 2.8

Help please!! this is due tonight and I have no clue what I'm doing

Answers

Answer:

1. 12    2. 3, 4, 7, and 9.     3. 18 and 32

Step-by-step explanation:

To find number 1, you have to find what multiplied by 1/3 is 4. In other words, what divided by 3 is 4. That is 12, so the first is 12, and it can't be anything else. For number 2, you can just put anything less than 12, because 4 would be greater. So, it's 3, 4, 7, and 9. For number 3, you have to imagine what plus 7 is 20, it's 13, but it's not there, so there's nothing for number 3. For number 4, you can put any numbers 13 and greater, because it's a greater or equal sign. So, it's 18 and 32.

Answer:

Step-by-step explanation:

{3, 4, 7, 9, 12, 18, 31}

Question #1: 1/3f = 4

1/3(3) = 1

1/3(4) = 4/3

1/3(7) = 7/3

1/3(9) = 3

1/3(12) = 4

1/3(18) = 6

1/3(31) = 31/3

Question #2: 1/3f < 4

True = 3, 4, 7, 9

False = 12, 18, 31

Question #3: m + 7 = 20

3 + 7 = 10

4 + 7 = 11

7 + 7 = 14

9 + 7 = 16

12 + 7 = 19

18 + 7 = 25

31 + 7 = 38

none of the numbers in the set make the equation true.

Question #4: m + 7 [tex]\geq[/tex] 20

False = 3, 4, 7, 9, 12

True = 18 and 31

L is the circle with the equation x²+y²=9
full question in photo :)

Answers

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

What is the general equation of a circle?

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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The volume of air in a person's lungs can be modeled with a periodic function. The
graph below represents the volume of air, in mL, in a person's lungs over time t,
measured in seconds.
The graph is attached below, and the equation should be answered in y= A cos or sin (B(t-h))+ midline

Answers

Note that the equation in terms of y, volume of air in a person's lungs in mL and t, in seconds, to represent the given context is y = 800 cos (π/2 t) + 1600.

We know that

The function depicted in the graph exhibits a periodic nature, characterized by its oscillation between two extreme points.

The time period of the function is derived as T = 4 seconds,

Given that each complete oscillation occurs between one crest and the subsequent crest or from one through and the subsequent through.

The midline of this function is y = 1300 mL, which denotes its average value.

Furthermore, the amplitude of this function equals half the distance between both extreme values, equivalent to A = 800mL. Given that the function has a period of 4 seconds and that its first crest is located at (3.5, 2600), it follows that we may represent this function with an equation expressed as:

y = A Sin (2π/T ( t-  c)) + 1300

Where:

A = 800

T = 4

3.5, 2600 is a crest

Thus,

1000 = -A + 1300

A = 300

Solving for A, we get

c =3.5 - T/4 = 0.5

replacing those values, we have:

y = 800 sin (π/2 (t - 0.5)) + 1300

This can be simplified further to read

y = 800 cos (π/2 t) + 1300.

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For each expression, write an equivalent expression by using the fewest terms possible.

Answers

Answer:

- 0.75x - 6y
- 2¼x + ¼y

Step-by-step explanation:

They are asking you to simplify as much as possible.

NEED HELP WITH MATH GEOMETRY

Answers

The missing reasons are

1. Corresponding Angle

2. Alternate Exterior Angle

We know, if a line intersects two parallel lines, the corresponding interior angles on the same side of the transversal will be congruent (equal).

1. Since CL || EK

Then, by the property of parallel line

<BFJ = <ADF (Corresponding Angle)

2. Since CL || EK

Then, by the property of parallel line

<EBH= <LDM (Alternate Exterior Angle)

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Find the radius of convergence, R, of the series. [infinity] 7(−1)nnxn n = 1 R = Incorrect: Your answer is incorrect. Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = Incorrect: Your answer is incorrect.

Answers

the radius of convergence (R) is ∞, and the interval of convergence (I) is (-∞, ∞).

To find the radius of convergence (R) and the interval of convergence (I) of the series given by:

∑ 7(-1)^(n-1) n^n x^n

We can apply the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L as n approaches infinity, then the series converges absolutely if L < 1, diverges if L > 1, and the test is inconclusive if L = 1.

Let's apply the ratio test to the given series:

L = lim(n→∞) |(7(-1)^(n-1) (n+1)^(n+1) x^(n+1)) / (7(-1)^(n) n^n x^n)|

Simplifying and canceling out common factors:

L = lim(n→∞) |(7(n+1) x) / (n^n)|

Taking the absolute value:

L = lim(n→∞) |7(n+1) x / n^n|

Now, let's evaluate the limit:

L = |7x| lim(n→∞) (n+1) / n^n

The limit can be further simplified by applying the ratio test for the sequence:

lim(n→∞) (n+1) / n^n = 0

Therefore, the limit L simplifies to:

L = |7x| * 0 = 0

Since L = 0, which is less than 1, the ratio test indicates that the series converges absolutely for all values of x. Thus, the series converges for all x.

For a series that converges for all x, the radius of convergence (R) is infinite (∞), and the interval of convergence (I) is the entire real number line (-∞, ∞).

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helppppp i need help with this question rn

Answers

Answer:

17

Step-by-step explanation:

A straight angle is 180

180 = 6z + 1 + 77 combine like terms

180 = 6z + 78  Subtract 78 from both sides

180 - 78 = 6z + 78 - 78

102 = 6z  Divide both sides by 6

17 = z

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

what you have to do is

6Z+1+77=1806z=180-78-16z=1026z=102/6z=17

hope this helps!

Each side of a 6-sided die has one of three words on it; red, blue, or green. Record all possible outcomes in the sample space for two rolls.
(red, red), (red, blue), green), (blue, red), (blue, blue), (blue, ), (green, red), (green,), (green, green)}

Answers

The solution is: red<yellow<green<blue<violet are the colors.

The light spectrum contains waves with specific wavelength which can be classified into groups. Most of the groups are invisible to the eye (like infrared, microwaves, radio waves, gamma rays, etc.) however, there is one group that is known as visible light.

Visible light allows us to see colors from red all the way to violet. The colors have different frequencies and wavelengths. The wave with the highest frequency also has the highest energy (which in this case is violet). Hence, as the frequency decreases, the energy will also decrease, making violet have the highest energy, and red have the lowest energy.

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complete question:

which answer has the colors in order from the lowest energy to the highest? group of answer choices red, blue, green blue, red, green blue, green, red red, green, blue

in a survey of 500 residents, 300 were opposed to the use of the photo-cop for issuing traffic tickets. the standard error of the estimate is found to be 0.022. find the margin of error that corresponds to a 95% confidence interval

Answers

To find the margin of error that corresponds to a 95% confidence interval, we first need to calculate the critical value.

For a 95% confidence interval, the critical value is 1.96.  Next, we can use the formula:  Margin of error = Critical value x Standard error
Plugging in the values we have:
Margin of error = 1.96 x 0.022
Margin of error = 0.04312
Therefore, the margin of error that corresponds to a 95% confidence interval is 0.04312. To find the margin of error for a 95% confidence interval, you'll need to use the standard error and the z-score corresponding to the desired confidence level. In this case, the standard error is 0.022, and the z-score for a 95% confidence interval is approximately 1.96.
Margin of Error = Z-score × Standard Error
Margin of Error = 1.96 × 0.022
Margin of Error ≈ 0.04312
So, the margin of error that corresponds to a 95% confidence interval is approximately 0.04312, or 4.312%.

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A circular metal sheet 48 cm in diameter and 2 mm thick is melted and recast into a cylindrical bar 6 cm in diameter. How long is the bar?​

Answers

Answer:

12.8cm

Step-by-step explanation:

radius = 0.5 X diameter

2mm = 0.2cm

volume of circular metal sheet = π r² h = π (24)² (0.2) = 115.2π cm³.

volume, V, of cylindrical bar = π r² L

L = V/(π r²)

 = 115.2π / (π (3)²)

=  115.2/ 9

= 12.8cm

A ​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental probability of rolling a number less than 3.

Answers

The experimental probability of rolling a number less than 3 is given as follows:

p = 3/200.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of outcomes for this problem is given as follows:

2000.

The desired outcomes are those with a result of 1 or 2, which are numbers less than 3, hence the amount is given as follows:

16 + 14 = 30.

Hence the experimental probability is given as follows:

p = 30/2000

p = 3/200.

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when sample observations can be paired (or we have dependent samples) treating these as independent samples will multiple choice question. reduce the power of the test. decrease the chance of a type ii error. increase the power of the test. always result in rejecting the null hypothesis.

Answers

When sample observations can be paired or we have dependent samples, treating these as independent samples will reduce the power of the test.

The power of a statistical test is the probability of correctly rejecting the null hypothesis when it is false. In other words, it measures the test's ability to detect a significant effect or difference when one actually exists. When we treat dependent samples as independent, we do not take into account the relationship between the paired observations, which can lead to a loss of information and ultimately reduce the test's power.

In summary, when we have dependent samples and treat them as independent, it will reduce the power of the test, leading to an increased chance of a Type II error. This means that we are more likely to fail to detect a true effect or difference when one actually exists. It is important to properly account for the relationship between paired observations in order to maintain the test's power and decrease the likelihood of making errors in our conclusions.

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ASAP! HELPPPP
Write an equation for the parabola graphed below.

Answers

The equation of the parabola graphed is given as follows:

x = 5/9(y + 2)² - 3.

How to obtain the equation of the parabola?

The parabola in the context of this problem is in horizontal form, hence the equation is given as follows:

x = a(y - k)² + h.

In which the parameters are given as follows:

a is the leading coefficient.(h,k) are the coordinates of the vertex.

The coordinates of the vertex are given as follows:

(3, -2).

Hence:

x = a(y + 2)² - 3.

When x = 2, y = -5, hence the leading coefficient a is obtained as follows:

2 = a(-5 + 2)² - 3

2 = 9a - 3

9a = 5

a = 5/9

Hence the parabola is:

x = 5/9(y + 2)² - 3.

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Their favorite photograph was of Jim
Factor falling off a surfboard. The
original print was 3.5 inches wide and 5
inches long, but they had it blown up to
poster size. If the poster was 6.2 times
wider than the photo, how wide was it?

Answers

The poster width is 21.7 inches.

Given that the original print of the figure is 3.5 inches wide and 5 inches long,

Here we will use the concept of scale factors,

Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object.

The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

For example, a rectangle has a length of 5 units and a width of 2 units. Now, if we increase the size of this rectangle by a scale factor of 2, the sides will become 10 units and 4 units, respectively.

Hence, we can use the scale factor to get the dimensions of the changed figures.

The scale factor (k) = ratio of the corresponding sides,

We need to find the width of the poster if it is 6.2 times wider than the photo,

So, the original width = 3.5 in

Therefore, the poster size = 3.5 x 6.2 = 21.7 inches.

Hence the poster width is 21.7 inches.

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HELP ME Given that 1 liter is approximately 0.3 gallons, how many liters are in
49 gallons?
Round your answer to the nearest tenth.

Answers

Answer:

There are approximately 163.3 liters in 49 gallons.

Answer:

163.3

Step-by-step explanation:

If each liter is equal to .3 gallons and you need to know how many liters are in 49 gallons

You want to divide 49 by .3 = 163.33333333

A jar contains 15 pennies, 28 nickels, 12 dimes, and 20 quarters. If a coin is chosen at random, find each probability.

Answers

The values of the conditional probabilities are

P(Quarters | Not a penny) =  1/3 = 0.33 = 33.33%P(Dime| Not a nickel) =  12/47 = 0.2553 = 25.53%P(Not a quarter| Not a dime) =  43/63 = 0.6825 = 68,25%

Calculating the conditional probabilities

From the question, we have the following parameters that can be used in our computation:

Pennies = 15

Nickels = 28

Dimes = 12

Quarters = 20

So, we have the probability formula to be

P(Quarters | Not a penny) = (Quarter and not a penny)/Not a penny

This gives

P(Quarters | Not a penny) =  20/(28 + 12 + 20)

Evaluate

P(Quarters | Not a penny) =  1/3 = 0.33 = 33.33%

Next, we have

P(Dime| Not a nickel) =  12/(15 + 12 + 20)

Evaluate

P(Dime| Not a nickel) =  12/47 = 0.2553 = 25.53%

Lastly, we have

P(Not a quarter| Not a dime) =  (15 + 28)/(15 + 28 + 20)

Evaluate

P(Not a quarter| Not a dime) =  43/63 = 0.6825 = 68,25%

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Solve 8x + 11 = 5x + 2​

Answers

8x-5x=2-11
3x=-9
x=-3 is the answer for your question

Answer:

8x+11=5x+2

8x-5x=2-11

3x=-9

÷by 3 both sides

x=-3

pls answe
worth 36 points

Answers

Answer:

gradient = [tex]\frac{1}{2}[/tex] , y- intercept = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient) and c the y- intercept )

given

x - 2y = 3 ( subtract x from both sides )

- 2y = - x + 3 ( divide through by - 2 )

y = [tex]\frac{-1}{-2}[/tex] x + [tex]\frac{3}{-2}[/tex] = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ← in slope- intercept form

with gradient m = [tex]\frac{1}{2}[/tex] and y- intercept c = - [tex]\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

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