8oooo in Standard form

Ignore this

marissa [1.9K]

Answer:

Thanks for free

Step-by-step explanation:

7 0

3 years ago

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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

3 years ago

Please Help!!!!

lutik1710 [3]

Answer:

3

Step-by-step explanation:

The linear function

One of the points is (0,5), so

f(0) = 5

The y-intercept is at (0,5).

===============

The exponential function

The general formula for an exponential function is $y = a(b)^{x}$ .

=====

Calculate the value of b

y₃/y₂ = [a(b)³]/[a(b)²]

250/50 = b

b = 5

=====

Calculate the value of a

250 = a(5)³

250 = a × 125

a = 2

=====

$g(x) = 2(5)^{x}$

g(0) = 2(5)⁰

g(0) = 2 × 1

g(0) = 2

=====

|f(0) – g(0)| = |5 – 2|

|f(0) – g(0)| = 3

The positive difference in the y-intercepts of f(x) and g(x) is 3.

You can see the two y-intercepts on the graph below.

4 0

3 years ago

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Please help me with this question 3.14 for pie

dangina [55]

Answer:

25.12 is the circumference

Step-by-step explanation:

I hope that is what you meant!

4 0

3 years ago

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Cheryl is making homemade fruit soda. She needs 14 pints of fruit juices and club soda for her recipe. How many cups of homemade

Harrizon [31]

Well, if one pint is equal to 2 cups then, we are able to multiply 14 by 2 which gives us 28. Therefore, Cheryl can make 28 cups of homemade soda.

8 0

3 years ago