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san4es73 [151]
3 years ago
7

What value of x makes the following equation true 4+3x=160

Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer:

x=52

Step-by-step explanation:

160=4+3x

Subtract 4 from both sides

156=3x

Divide 3 from both sides

x=52

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A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
Can you help me plss ??
Agata [3.3K]
4

I hope you have an awesome day
3 0
2 years ago
The first rule is subtract 6 starting from 48. The second rule is subtract 3 starting from 30. What is the second ordered pair u
Natasha2012 [34]

Answer:

(42,48)?

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Nathan plants equal sized squares of sod in his front yard each square has an area of 6 square feet Nathan plants a total of 100
Darya [45]
Multiply 6x1000 wich will give you the total area

7 0
3 years ago
Read 2 more answers
Jamey says she only has 30% of her book to go before she finishes it. she has read 147 pages so far
Lubov Fominskaja [6]
Let's just change your problem to 147 of 30% 

"Of" is always equaling to multiplication (×)

Now, it would be easier to simplify 

30% (147)
30% ÷ 100 = 0.3
0.3(147)
Now, we get to your answer which might be 44.1



4 0
3 years ago
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