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1 year ago

A letter is selected at random from each of the words, Sure and WIN. Find

Mathematics

2 answers:

ivann1987 [24]1 year ago

8 0

Answer:

Step-by-step explanation:

Orlov [11]1 year ago

7 0

Answer:

a) 1/8 b) 1/6

Step-by-step explanation:

b) 6/36 = 1/6

a) 1/2 x 1/2 x 1/2 = 1/8

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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

The sum of three consecutive integers is -75.

rusak2 [61]

Answer:

Suppose 3 consecutive integers are X-1,X,X+1

Step-by-step explanation:

Sum = X-1+X+X+1= -78

3X=-78

X= -78/3

X= -26

3 consecutive integers are, -27, -26,-25.

smallest integer is -27

8 0

2 years ago

1/5 of 45 is what number?

xxMikexx [17]

Answer:

Step-by-step explanation:

1/5x45= 9

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2 years ago

Please please please please i need help with algebra 1

olga_2 [115]

Ask away!! im all yours

6 0

3 years ago

Enter the following transactions into Richard’s checkbook register and state his ending balance:

pogonyaev

Answer:it’s b

Step-by-step explanation:

b cause

4 0

2 years ago

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