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2 years ago

What do the medians and ranges of two dot plots tell you about the data

1 answer:

5 0

That both (along with the mean) help the data be described the data's spread, which can be the slope if only two points.

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construct a 90% confidence interval of the population proportion using the giver information x=74 n=150

FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

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

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{74}{150}=0.493$

Compute the critical value of <em>z</em> for 90% confidence level as follows:

$z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645$

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

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

$=0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)$

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0

3 years ago

Sue has 18 sweets.

Jlenok [28]

Answer:

(18-x-5) + (18+x)/2 =Total Left

Step-by-step explanation:

Sue has left Tony has left

(18-x-5) + (18+x)/2 = Total Left

7 0

2 years ago

Read 2 more answers

Plot the following points and find the area of the figure. (3,2); (-3,2); (-3,-3); (3,-3)

nevsk [136]

We have been given 4 points $(3,2), (-3,2), (-3,-3), (3,-3)$ . We are asked yo plot these points on coordinate plane and find the area of the figure.

Upon plotting our given points, we will get a rectangle as shown in the attached file.

We can see that the width is 5 units that is difference between y-coordinates of point $(3,2)\text{ and }(3,-3)$ .

$\text{Width}=2-(-3)=2+3=5$

We can see that the length of rectangle is 6 units that is difference between x-coordinates of point $(-3,2)\text{ and }(3,2)$ .

$\text{Length}=3-(-3)=3+3=6$

We know that area of rectangle is length times width.

$A=\text{Length}\times \text{Width}$

$A=6\times 5$

$A=30$

Therefore, the area of the figure would be 30 square units.

6 0

3 years ago

This is a 30-60-90 triangle.

Triss [41]

Answer:

x = $\frac{2\sqrt{21}}{3}$

Step-by-step explanation:

For a 30-60-90 triangle:

Short leg = s
Long leg = s√3
Hypotenuse = 2s

Thus:

Short leg = √7/√3 = (√21)/3
Long leg = √7
Hypotenuse = x = 2(√21)/3

6 0

2 years ago

5. Why Lily loves her cheese so much?

Jlenok [28]

Answer:

<h2>b. It makes her happy.</h2>

<h3>it is % correct answer.</h3>

Thank you ☺️☺️

3 0

2 years ago