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aleksklad [387]
3 years ago
8

How do I figurevout 2(x-y) and 2x-2y

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

2(x-y) and 2x-2y are equivalent.

Step-by-step explanation:

To figure out 2(x-y) and 2x-2y, you can apply the distributive property on

2(x - y)

to get:

2(x - y) = 2x - 2y

Or we can factor

2x - 2y

to get:

2x - 2y = 2(x - y)

This implies that, the two expressions are equivalent.

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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
D = 8 cm<br> h = 18 cm<br> What is the surface area of the cylinder
mars1129 [50]

Answer:

144 (If multiplying)

Step-by-step explanation:

18x8=144.

5 0
3 years ago
Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. T
Dmitrij [34]

Answer:

<h2>Ian will have enough money to buy the gift</h2>

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

4 0
3 years ago
PLEASE HELP ME IM SO CONFUSED AND THIS IS DUE IN 10 MINS!!! PLEASE HELP!!!
Burka [1]

Answer:

The answer is 98304

Step-by-step explanation:

4 0
2 years ago
Find the number, d, if the sum of five times d and five times five is a<br> hundred.
Gelneren [198K]

The value of d from the given expression is 15

<h3>Word problem leading to equation</h3>

From the given statement the sum of five times d and five times five is a

hundred is interpreted as;

5d + 5(5) = 100

5d + 25 = 100

Subtract 25 from both sides

5d = 100 - 25

5d = 75

d =15

Hence the value of d from the given expression is 15

Learn more on word problem here: brainly.com/question/13818690

#SPJ1

6 0
1 year ago
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