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2 years ago

The diagram shows two similar vases, A and BThe height of vase A is 9 cm and the height of vase B is 13 cm.Given tha

Mathematics

1 answer:

Katen [24]2 years ago

8 0

Answer:

Could you elaborate on the question?

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How many times must we toss a coin to ensure that a 0.95-confidence interval for the probability of heads on a single toss has l

musickatia [10]

Answer:

(1) 97

(2) 385

(3) 9604

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

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

The margin of error in this interval is:

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

The formula to compute the sample size is:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}$

(1)

Given:

$\hat p = 0.50\\MOE=0.1\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.1^{2}}\\=96.04\\\approx97$

Thus, the minimum sample size required is 97.

(2)

Given:

$\hat p = 0.50\\MOE=0.05\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.05^{2}}\\=384.16\\\approx385$

Thus, the minimum sample size required is 385.

(3)

Given:

$\hat p = 0.50\\MOE=0.01\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.01^{2}}\\=9604$

Thus, the minimum sample size required is 9604.

8 0

2 years ago

Write the Equation of the line in slope intercept form (0, -3), (7.5,0)

makkiz [27]

Answer:

Step-by-step explanation:

First, start off by solving for the slope using this formula:

$\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Then, plug in the values: $\frac{0-(-3)}{7.5-0}$

Solve the equation: $\frac{3}{7.5}$

That's your slope.

Then plug in one of the coordinates given in the problem for x and y and solve this equation:

y= $\frac{3}{7.5}$ x+b

Hope that helped!!! :)

7 0

2 years ago

What is the value of Z

Gemiola [76]

180 - (62+95) = 23 °

5 0

2 years ago

Read 2 more answers

What’s the largest number ever ?

Aleks04 [339]

Answer:

(10)^(10^100)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the outlier of the set of data? 33, 46, 41, 41, 30, 9, 14, 33, 15, 26, 12, 46, 28, 36, 95 ____________________

Delvig [45]

The outlier is 95.

All the numbers are from 9 - 46 EXCEPT for 95

Answer = 95

Hope this helped :)

7 0

2 years ago

The diagram shows two similar vases, A and BThe height of vase A is 9 cm and the height of vase B is 13 cm.Given tha​

The diagram shows two similar vases, A and BThe height of vase A is 9 cm and the height of vase B is 13 cm.Given tha