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solmaris [256]
2 years ago
11

In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper new

sletters would the school estimate are needed if there are 650 parents?
Mathematics
1 answer:
Kay [80]2 years ago
5 0
77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.

77% of 650 is 500.5.
23% of 650 is 149.5.

650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5

It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.
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jenny is comparing the cost of two packages of socks. one package has 8 pairs for $12. Another package has 3 for $6. Are the rat
Ainat [17]
In order to solve this we need to make on part of both statements equal.

Since 12 is divisible by 6 lets do that.

Multiply everything in the second package by 2.

It then becomes 6 pairs for $12.

So now  have have 6 or 8 pairs for $12.

You are getting a different amount for the same price therefore they are not proportional.
5 0
3 years ago
A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

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.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

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

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0
3 years ago
If Cecilia had $90 could she buy 6 Cds​
kaheart [24]

Answer:

it depends how much the cds cost.

5 0
3 years ago
Read 2 more answers
Is the value of 8 in 345,802 ten times greater or smaller than the value of 8 in 758,910
german

Answer:

Yes

Step-by-step explanation:

One is in the hundreds and one is in the thousands. 100x10=1000

7 0
2 years ago
11. Write the equation of a line in point-slope form
Vika [28.1K]

Answer:

Excuse me, wrong answer did not mean to type that. It would be C.

Step-by-step explanation:

This is because C. y - 5 = -2 (x+9) is an inequality. But, because of the slope of -2 passing through the point (-5, 9), it would be x - 9. So, C.

5 0
3 years ago
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