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Novosadov [1.4K]
3 years ago
9

Which table shows a relationship between the values of x and y that represents a linear function?

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
The second one where 0,0 and 3,1 and 9,9
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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
Please help me with #7
Dominik [7]

Step-by-step answer:

This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.

To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.

This is:

sum of exterior angles of polygons = 360 degrees.

If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360!  It works!

For a regular heptagon, c = 360/7=51.43 degrees approx.

This means that each vertex angle measures

vertex angle = 180-c

So since 2d+the vertex angle = 360, we have

2d+(180-c)=360

solve for d:

2d=360-(180-c)=180+c

d=(180+c)/2=90+c/2=115.71 degrees. (approx.)

8 0
3 years ago
if Kassidy earns 8$ per hour and Andrea earns 10$ per hour how much more in PERCENT% does Andrea make than Kassidy?
Vilka [71]
Subtract the numbers.

10 - 8 = 2

Divide it to the smaller number:

2 / 8 = 0.25

Multiply by 100:

0.25 * 100 = 25%
5 0
3 years ago
Kinda is buying boxes of ice cream sandwiches for her class party. She has to decide how many boxes she should purchase
kupik [55]
Please be specific, how many people are in her class?
6 0
3 years ago
PMO and LMN are vertical angles. The measure of PMO is (X + 7). The measure of LMN is 55
Reika [66]

Answer:

x= 48 and PMO= 55

Step-by-step explanation:

  PMO= LMO so 55= x+7

 x+7=55

    -7     -7

x=48    

     Pmo = x+7 so (48)+7 = 55

7 0
3 years ago
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