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2 years ago

Given the diagram, solve for the blanks below:

Mathematics

1 answer:

Papessa [141]2 years ago

5 0

Answer:

go on photomath

Step-by-step explanation:

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A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

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

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

Mary needs to order pizza for 18 students. Each student should get 4/7 of a pizza. How many pizzas should Mary order? How much p

Llana [10]

Answer:

11 pizzas, 5/7 left

Step-by-step explanation:

to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over

3 0

2 years ago

Read 2 more answers

Please help ive attached a photo!!!!

professor190 [17]

Ur answer would be. B

8 0

2 years ago

Find the value of Cot(450°+theta)

Leya [2.2K]

$cot(450\° + \theta) = \frac{1}{tan(450\° + \theta)}$
$cot(450\° + \theta) = \frac{cos(450\° + \theta)}{sin(450\° + \theta)}$

6 0

2 years ago

I WILL GIVE BRAINLIEST. 1/2 of the problems on a 20-question test are algebra and one-half are geometry. Determine the probabili

aksik [14]

9514 1404 393

Answer:

0.344

Step-by-step explanation:

There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.

There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.

The probability of choosing 5 problems in each category is ...

63504/184756 ≈ 0.344

6 0

2 years ago