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3 years ago

10

WILL MARK BRAINLIEST! Given: Parallelogram ABCD, calculate the length of AD

1 answer:

frez [133]3 years ago

5 0

Your answer would be 20.6

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A College Alcohol Study has interviewed random samples of students at four-year colleges. In the most recent study, 494 of 1000

Vinil7 [7]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

$p_1=X_1/n_1=494/1000=0.494$

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

$p_2=X_2/n_2=552/1000=0.552$

The difference between proportions is (p1-p2)=-0.058.

$p_d=p_1-p_2=0.494-0.552=-0.058$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022$

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014$

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

7 0

3 years ago

Find the length of a diagonal of a rectangle if the length of the rectangle is 24 cm and its width is 10 cm. A) 22 cm B) 26 cm C

Alik [6]

Your answers are
1.B
2.D
3.A

3 0

3 years ago

Read 2 more answers

The number 4.077 Rounded to the nearest hundredth is what

Svetllana [295]

Answer:

<h3>40.77 is ur answer </h3>

Step-by-step explanation:

<h3>plz mark as brainliast</h3>

4 0

3 years ago

I need 3 questions answered please.

kakasveta [241]

Answer:

$3) \: \: 113 {ft}^{2}$

$4) \: false$

$5) \: 70 {ft}^{2}$

Step-by-step explanation:

3) Area of a circle is

$\pi \times {r}^{2}$

Where r = 6

Thus,

$area = \frac{22}{7} \times {6}^{2}$

$area = \frac{22}{7} \times 36$

$area = 3.143 \times 36$

$area = 113 {ft}^{2} \: (nearest \: whole \: number)$

4) False

Area of a circle is measured by the formula below:

$area = \pi \times {r}^{2}$

5) The formula for calculating the area of a rectangle is given thus:

$area \: of \: a \: rectangle = l \times w$

Where, l = 10ft; w = 7ft

$area = 10ft \times 7ft = 70 {ft}^{2}$

8 0

4 years ago

Which of the following is the closest to the total surface area of the this box?

GalinKa [24]

Answer:

52 ft

Step-by-step explanation:

the answer is c

5 0

3 years ago

Read 2 more answers