45 female signers, 40 male singers, 15 instrumental, what is probability that a set of 3 songs contain 1 male, 1 female, 1 inst.

Suppose the true proportion of students at a college who study abroad is 0.25. I select a random sample of 40 students from the

Julli [10]

Answer:

$\mu_{\hat p} = 0.25$

$\sigma_{\hat p}= \sqrt{\frac{0.25*(1-0.25)}{40}}= 0.0685$

$z = \frac{0.2-0.25}{0.0685}= -0.730$

And we can use the normal standard distribution or excel to find this probability and we got:

$P(\hat p$

Step-by-step explanation:

We define the parameter as the proportion of students at a college who study abroad and this value is known $p =0.25$ , we select a sample size of n =40 and we are interested in the probability associated to the sample proportion, but we know that the distirbution for the sample proportion is given by:

$\hat p \sim N(p , \sqrt{\frac{p(1-p)}{n}}$

And the paramters for this case are:

$\mu_{\hat p} = 0.25$

$\sigma_{\hat p}= \sqrt{\frac{0.25*(1-0.25)}{40}}= 0.0685$

We want to find the following probability:

$P(\hat p< 0.2)$

For this case since we know the distribution for the sample proportion we can use the z score formula given by:

$z = \frac{\hat p -\mu_{\hat p}}{\sigma_{\hat p}}$

Replacing the info given we got:

$z = \frac{0.2-0.25}{0.0685}= -0.730$

And we can use the normal standard distribution or excel to find this probability and we got:

$P(\hat p$

8 0

3 years ago

For a science experiment, Claudia observes the effects of temperature on a substance. The original temperature is 9°C, and Claud

aliya0001 [1]

Answer:

The drop in temperature is 42-(-54)=42+54=96℉. Rate of drop is 12℉. So it will take 96/12=8 hours.

Another way: -54-42=-96, -96/-12=8 hours.

Step-by-step explanation:

5 0

3 years ago

Mrs Belen wanted to bake 10 loaves of bread but realized she needed 1.75 more of flour. If she baked 7 loaves of bread she would

Pani-rosa [81]

To answer this question, follow this step by step procedure:1. Add first the needed and the excess flour to determine to total flour, = (1.75 kg + 0.5 kg = 2.25)2. Then divide the answer by 3 since you need to have 3 more breads, 2.25 kg / 3 = 0.75 kg
So we can say that we need 0.75 kilogram of flour for each loaf of bread.

3 0

3 years ago

What is 220% of 400? A. 88 B. 880 C. 8,800 D. 88,000

Andrews [41]

Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

7 0

3 years ago

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