6y - 12 = -3x. Write in standard form

2p2 -15p + 25 = (p - 5)(2p - 5) (p - 5)(2p + 5) (p + 5)(2p - 5) (2p - 15)(p + 5)

Anarel [89]

I think it's the first one

7 0

3 years ago

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste

Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, $n_1 = 46$

Sample size of group 2, $n_2 = 57$

Number of Yes in group 1, $X_1 = 32$

Number of Yes in group 2, $X_2 = 47$

Proportion of Yes in group 1:

$\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957$

Proportion of Yes in group 2:

$\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246$

Null Hypothesis, $H_0: p_1 = p_2$

Alternate Hypothesis, $H_a: p_1 \neq p_2$

$\hat{p} = \frac{X_1 + X_2}{n_1 + n_2} \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767$

Significance level,

Calculate the test statistic

$z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1} + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54$

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0

2 years ago

What is the sample space for each one of the following statements? (7.5 points each)

photoshop1234 [79]

We can define the sample space for a given experiment as the set of all the possible outcomes for the experiment.

For example, tossing a coin has a space sample of 2 elements, tails and heads.

The spaces are:

a) {WW, BB, WBB, BWW, WBWW, BWBB,... }

b) { 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

a) We can write one element in this sample space as:

WBB

This would mean that first we draw a white ball, then a black ball, and then the second black ball, thus we stop drawing.

So all the elements in this set will have the form

{WW, BB, WBB, BWW, WBWW, BWBB,... }

As we have infinite balls in the bag, we have infinite elements in this set.

b) Now we have only 10 balls numbered from 1 to 10, and we draw 4.

So each element in the sample space can be written as:

1-2-3-4

This element means:

"first we draw ball number 1, then ball number 2, then ball number 3, then ball number 4"

Then the sample space will have the form:

{ 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

If you want to learn more, you can read:

brainly.com/question/23125812

6 0

3 years ago

17m-12n-1 + 4-13m-12n

kvasek [131]

Answer: 4m+-24n+3

This could be or you can write it like 4m-24n+3. And that’s the answer depends on what your doing. And you can’t simply anymore so that’s the best answer.

5 0

3 years ago

Read 2 more answers

How to rewite this x+4y=-4 in form y=mx+b

Alex

$x+4y=-4\\
4y=-x-4\\
y=-\frac{1}{4}x-1$

3 0

3 years ago

Read 2 more answers