21
х
15
X
(Round to the nearest tenth)

Answer:

1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.

Answer:

7.)[tex]\frac{1}{2}[/tex]

8.) [tex]\frac{1}{8}[/tex]

9.)[tex]\frac{1}{3}[/tex]

10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]

I should know, I finished this like, a month ago?

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

1. 160cm²

2. 176.25cm²

3. 33.75ft²

Step-by-step explanation:

Area triangle = (1/2)(base)(height)

1)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(8)(9))+2(0.5(8)(11))

=72+88=160cm²

2)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))

= 56.25 + 120 = 176.25cm²

3)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))

= 11.25+22.5 = 33.75ft²

Answer: C

Step by Step Explanation: The answer is 660

The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

The results of a survey show that 20 of 36 students are in favor of the change.

Now, Let number of students in the entire body of 1,200 students who are in favor of changing the school colors is, x

Hence, We can formulate;

⇒ 20 / 36 = x / 1200

⇒ 5 / 9 = x / 1200

⇒ 1200 × 5 / 9 = x

⇒ x = 6000 / 9

⇒ x = 660

Thus, The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660

Learn more about the proportion visit:

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Answer:

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Answer:

D, 525

Step-by-step explanation:

1) Find what percent 45 is out of 150

45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%

2) Find 30% of 1,750

1,750 x 0.3 = 525

Answer= D

Answer: C. 39 degrees

Step-by-step explanation: Hope this help :D

Answer:

In Java:

import java.util.Random;

public class Main{

public static void main(String args []){

  int Employee;

  for(int weeks = 1;weeks<=52;weeks++){

    Employee = 1 + (int)(Math.random() * 30);

    System.out.println("Week "+weeks+" selected employee: "+Employee);

  }

}

}

Step-by-step explanation:

This imports the Random package into the program

import java.util.Random;

public class Main{

public static void main(String args []){

Declare employee as integer (represents employee 1 to 30)

  int Employee;

Iterate from week 1 to 52

  for(int weeks = 1;weeks<=52;weeks++){

Randomly select an employee from 1 to 30 (inclusive)

    Employee = 1 + (int)(Math.random() * 30);

Print the selected employee

    System.out.println("Week "+weeks+" selected employee: "+Employee);

  }

}

}

Answer:

A 5

B 16

E 8

F 10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

     A = P(1+i/n)^t

   5000 = P(1+0.03/(361.3/91)^1                 361.3   ???  it worked

          P = 5000/1.007556048

          P = $4962.50309  

    the 91 day T-bill confused by financial calculator  which got   $4962.78 for a quarterly compound interest rate

Answer: about 3 boxes would be 3.50 lbs so idrk

Step-by-step explanation:

Answer:

y = 5x+4

​

Step-by-step explanation:

The slope-intercept form of an equation is like this:

M stands for the slope and b for the y-intercept.

First, we need to find the slope:

Now we know: y= 5x+b

Now, to find b we have to choose one of your points. Let's use the first given point: (1, 9)

With the slope-intercept form equation I showed before, substitute x and y with the values of one point.

Substitute the b in the equation, and that's your answer:

If ur trying to find the rate its 12.7252%

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

image has step by step

Answer:

36

Step-by-step explanation:

1/2(8)(7+2)=x

1/2(8)(9)=x

4(9)=X

36=X

Answer:

5m + 8

Step-by-step explanation:

Dividing by 3 is the same as multiplying by 1/3.

1/3 (15m + 24)

Distribute the 1/3

1/3 * 15m = 5m

1/3 * 24 = 8

5m + 8

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

the answer is on the picture

apple presents stop motion studios?

Answer:

i think it is $4.73

Step-by-step explanation:

Answer:

$3.73

Step-by-step explanation:

Notebook: $2.99

Pack of Erasers: $1.99

Add together to get the total amount before the coupon.

[tex]2.99 + 1.99 = 4.98[/tex]

Given 25% off coupon for the WHOLE ORDER. To make things easier, take 75% of 4.98.

[tex].75(4.98) = 3.735[/tex]

Or do the long way if you want.

[tex].25(4.98) = 1.245 = 1.25\\4.98 -1.25=3.73[/tex]

Answer:

B

Step-by-step explanation:

The other guy was wrong

   (4, 8)

   (2, 11)

✔(8, 7)

   (3, 13)

Answer:

<6&<8

Step-by-step explanation:

Hope this helps!

Answers have to be 20 characters long so I added this to give you the answer!

Have a great day!

Answer:

width is 8, length is 12

Step-by-step explanation:

l = w+4

l x w= 96

4+w x w = 96

w^2 +4w -96 = 0

w+12 W -8

w = 8

The dimensions of the frame are 8 feet in width, 12 feet in length.

Given the data:

[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]

Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.

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9514 1404 393

Answer:

  B.  line AB

Step-by-step explanation:

The terminal point must be named first when naming a ray.

The vertex must be named in the middle when naming an angle.

The order of points does not matter when naming a line.

Answer:

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

And a cube faces 1 to 3:

Probability of the two events above:

Answer:

35.46

Step-by-step explanation:

34 x 1.043=35.46