The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspapers readers, how many readers does the newspaper

Answers

Answer 1
Answer:

Final answer:

The local newspaper has 1,750 readers.

Explanation:

To find the total number of newspaper readers, we can set up a proportion using the given information. Let x be the total number of newspaper readers. We can write the proportion:

70/ x = 4/100

Cross multiplying, we have:

70 * 100 = 4 * x

7000 = 4 * x

Dividing both sides by 4, we find:

x = 7000 / 4

x = 1750

Therefore, the newspaper has 1,750 readers.

Learn more about Percentages and Ratios here:

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Answer 2
Answer:

Answer:

1750

Step-by-step explanation:

We first find the rate

70/4

= 17.5

We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people

17.5 * 100

= 1750


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Answers

Step-by-step explanation:

The following is a list of perfect Cubes

13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

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83 = 512

93 = 729

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You randomly draw a marble from a bag of marbles that contains 888 blue marbles, 555 green marbles, and 888 red marbles.

Answers

Answer:

whats the question?

Step-by-step explanation:

For his long distance phone service, Bill pays a $3 monthly fee plus 11 cents per minute. Last month, Bill's long distance bill was $16.09. For how many minutes was Bill billed?

Answers

Answer:

1.19 minutes

Step-by-step explanation:

First, subtract the $3 monthly fee:

16.09 - 3

= 13.09

Then, divide this by 11:

13.09/11

= 1.19

So, he was billed for 1.19 minutes

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. Assume the population standard deviation is known to be 5.6 days. a. State the null and alternative hypotheses.
b. Using a critical value, test the null hypothesis at the 5% level of significance.
c. Using a p-value, test the hypothesis at the 5% level of significance.
d. What type of error may have been committed for this hypothesis test

Answers

Answer:

a) H_0: \mu\leq15\n\nH_1: \mu>15

b) The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.

c) The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.

d) In this case, the error we may hae comitted is a Type II error (failed to reject a null hypothesis that is false).

Step-by-step explanation:

We have to perfomr a hypothesis test on the mean, with known standard deviation of the population.

a) The null hypothesis is that the deliver time is 15 days or less.

The null and alternative hypothesis are then:

H_0: \mu\leq15\n\nH_1: \mu>15

The significance level is defined as 0.05.

b) The critical value of z for a one-side test (rigth side) and a significance level of 0.05 is z=1.645.

If the z-value for this sample is higher than 1.645, it is in the "rejection region".

Calculating the z-value:

z=(M-\mu)/(\sigma/√(n))=(16.2-15)/(5.6/√(49))=(1.2)/(0.8)=1.5

The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.

c) The p-value for z=1.5 is:

P(z>1.5)=0.067

The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.

d) There are two types of error:

Type I errors: happen when we reject a null hypothesis that is true.

Type II errors: happen when we failed to reject a null hypothesis that is false.

In this case, the error we may hae comitted is a Type II error.

The null hypothesis at 5% significance level is 1.50

Data;

  • n = 49
  • mean = 16.2
  • standard deviation = 5.6

Null and Alternative Hypothesis

The alternative hypothesis are

H_-;\mu \leq  15 : H_1 : \mu > 15

H_o = mean = 15

standard deviation = 5.6 days

using z-test,

n is greater than or equal to 30

Assuming standard deviation is known

z = (x-\mu)/(\sigma - √(n) ) \nz = (16.2-15)/(5.6/√(49) )\nz = 1.50

z-critical value is 1.96 at 95% confidence level.

Since z-critical value is greater than the test statistic, so we tail to subject H_o.

There's no evidence that mean delivery time is different from 15 days.

Learn more on hypothesis here;

brainly.com/question/15980493

Which represents 8(95) using the distributive property to simplify

Answers

Answer:

8*90 + 8*9 = 760

Step-by-step explanation:

Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.

I need urgent help with this

Answers

Answer:

Step-by-step explanation:

The inverse relation

x           y

5          -2

-3          4

1             6

-1            8