I can graph it but how do I solve it

Suppose you take an SRS of size 1000 of Connecticut students eligible to take the SAT and find that 85% plan to take the SAT dur

nadezda [96]

Answer:

$\mu_{p}=p=0.81$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

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

So under the null hypothesis the mean for the population proportion is p

$\mu_{p}=p=0.81$

And the standard deviationis given by:

$\sigma_{p}=\sqrt{\frac{p_0(1-p_o)}{n}}=\sqrt{\frac{0.81(1-0.81)}{1000}}=0.0124$

7 0

3 years ago

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Phantasy [73]

Answer:

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Step-by-step explanation:

Given : $\cos (180^{\circ}-q)=-\cos q$

We have to write which identity we will use to prove the given statement.

Consider $\cos (180^{\circ}-q)=-\cos q$

Take left hand side of given expression $\cos (180^{\circ}-q)$

We know

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Comparing , we get, a= 180° and b = q

Substitute , we get,

$\cos (180^{\circ}-q)=\cos 180^{\circ} \cos (q)+\sin q \sin 180^{\circ}$

Also, we know $\sin 180^{\circ}=0$ and $\cos 180^{\circ}=-1$

Substitute, we get,

$\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0$

Simplify , we get,

$\cos (180^{\circ}-q)=-\cos (q)$

Hence, use difference identity to prove the given result.

7 0

3 years ago

Read 2 more answers

To steam rice, Paul uses m cups of water for every p

GenaCL600 [577]

Answer:

$\frac{(p + 2)m}{p}$

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

$m = k * p$

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

$k = \frac{m}{p}$

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

$k = \frac{x}{p + 2}$

Equate both expressions of k; to give

$\frac{m}{p} = \frac{x}{p + 2}$

Multiply both sides by p + 2

$(p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}$

$(p + 2) * \frac{m}{p} =x$

$x = (p + 2) * \frac{m}{p}$

$x = \frac{(p + 2)m}{p}$

Hence, the expression that represents the cups of water needed is $\frac{(p + 2)m}{p}$

4 0

3 years ago

Simplify the expression. 9y^2−25/9y^2−30y+25

mezya [45]

Answer:

Step-by-step explanation:

56y^2/9-30y+25

4 0

2 years ago

Which set of numbers may represent the lengths of the sides of a triangle?

Nataly [62]

Answer:

B. (5,12,13)

Step-by-step explanation:

The only answer with two side lengths that are greater than the largest side length.

3 0

2 years ago

I can graph it but how do I solve it​

I can graph it but how do I solve it