A task force to encourage car pooling did a study of of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 workers was taken. The results are below:One-Way Commuting Distance (miles) Mean12.03333333Standard Error0.712268068Median14Mode16Standard Deviation5.517204729Sample Variance30.43954802Kurtosis-0.84324231Pearson's-1.069382104Range19Minimum1Maximum20Sum722Count60True or False

Answer:

14

Step-by-step explanation:

Hope this Helps!!!!!

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

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Answer:

9

Step-by-step explanation:

To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].

Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].

144+[tex]b^{2}[/tex]=225

subtract 144 from both sides

[tex]b^{2}[/tex]= 81

[tex]\sqrt{b^{} } = \sqrt{81}[/tex]

b=9

Answer: look at the picture

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

Answer: Angle VUW and QRP are alternate exterior angles.

They are both exterior and are on alternate sides of the transversal.

Hope this helps!

They both get 2 and 1/2 of a cookie!

Answer:

2 1/2

Step-by-step explanation:

The only way for the friends to get an equal amount is to split one of the cookies in half. or 5 divided by 2= 2 1/2

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

hope that helps :)

Answer:

6^3 + 6^2

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

625≠252

Hope this helps =]

9514 1404 393

Answer:

  y = 6

Step-by-step explanation:

Let's call the marked angles A, B, C, clockwise from upper left.

Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.

  A+90 = C

  4x +90 = 11x -8

  98 = 7x

  14 = x

Then angle A is ...

  A = 4x° = 4(14)° = 56°

__

Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.

  A = B

  56° = (9y +2)°

  54 = 9y

  6 = y

The value of y is 6.

Answer:

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem and difference between normal variables.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal sample means:

When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.

Sample size of 55 men with mean 785 and standard deviation 489

This means that:

[tex]\mu_A = 785[/tex]

[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]

Sample size of 40 women with mean 670 and standard deviation of 419

This means that:

[tex]\mu_B = 670[/tex]

[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]

Difference between sample means:

The mean and the standard deviation are, respectively:

[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]

[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]

What is the probability of obtaining a difference between sample means of 110 mg or more?

This is 1 subtracted by the pvalue of Z when X = 110. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 115}{93.47}[/tex]

[tex]Z = -0.053[/tex]

[tex]Z = -0.053[/tex] has a pvalue of 0.4812.

1 - 0.4812 = 0.5188

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

Answer:

Hi! The answer to your question is B. [tex]10x[/tex]

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

Answer is 51

Step-by-step explanation:

5(6) + 3(7)

30 + 21

51

Answer:

first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51

Step-by-step explanation:

5x+3y

5(6)+3(7)

30+21

51

hope this helps

Answer:

10/15 + 3/15 = 13/15

Step-by-step explanation:

Answer:

The loss is $120 and the loss percentage is 8%.

Step-by-step explanation:

Given that,

SP of a car = $1,380

CP of a car = $1,500

As CP > SP, it means there is a loss in selling of that car.

Loss = CP - SP

= $1,500 - $1,380

= $120

Loss percentage,

[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]

Hence, the loss is $120 and the loss percentage is 8%.

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

Answer:

smallest: 1059

largest: 9510

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

Answer:

4 /1 5 also 0.26666666666

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Have a great day, be safe and healthy  

Thank u  

XD

Answer:

Step-by-step explanation:

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Answer:

slope = 3/4

Step-by-step explanation:

(=^w^=)

can do 7-4/-5--9

3/4 woof

The slope of the line represented by the given data points is 3/4.

To find the slope of the line represented by the given data points, we can use the formula for slope:

slope = (change in y) / (change in x)

Let's calculate the changes in y and x using the given data points:

Change in y:

From y = 4 to y = 16, there is an increase of 16 - 4 = 12.

Change in x:

From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.

Now, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

= 12 / 16

= 3 / 4

Therefore, the slope of the line represented by the given data points is 3/4.

To know more about slope click here :

https://brainly.com/question/14511992

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Answer:

df.= 28

P - value = 0.0124 < 0.05

There is a difference between the mean of  the well-being measure for the children of alcoholics, and a mean of the control group.

Step-by-step explanation:

As the given test is dependent or paired test the degrees of freedom is n-1 = 20-1 = 28

The reported t = 2.67

The P value for ∝= 0.05 at  calculated t= 2.67 and 28 d.f is 0.0124 which is less than 0.05 .

The null hypothesis is rejected.

The null hypothesis is that there is no difference between the means of the two samples.

H0: u1 = u2

The alternate hypotheis is accepted that there is  difference between the means of the two samples.

Ha: u1≠ u2

There is a difference between the mean of  the well-being measure for the children of alcoholics, and a mean of the control group.

Answer: 86%discount approx

Step-by-step explanation:

You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:

578:100=78:x

X=(78*100)/578

X=14 %

Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%

Answer:

1.True

2.False

3.False

Step-by-step explanation:

1. b is less down the number line than a

2. a is more down the number line and the positive version is higher

3. positive is bigger than negative

Answer:

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.

The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Answer:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Step-by-step explanation:

Given

[tex]y=6; z=3[/tex]

Evaluate

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]

Substitute [tex]y=6; z=3[/tex] in the expression.

So, we have:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]

Evaluate the fractions

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Answer:

The investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Step-by-step explanation:

To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:

1000 x (1 + 0.06 / 1) ^ 1x1 = X

1000 x 1.06 ^ 1 = X

1000 x 1.06 = X

1060 = X

Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.