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Softa [21]
3 years ago
14

Nadia charges $6.50 an hour for babysitting. She babysits 16.50 hours the first week of the month and 22 hours the second week o

f the month.Suppose Nadia raises her rate by $0.65 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0
She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.
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The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30
o-na [289]

Answer:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

\bar X represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

\sigma_o =\sqrt{0.027}=0.164 the value that we want to test

p_v represent the p value for the test

t represent the statistic

\alpha= significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: \sigma \leq 0.027

H1: \sigma >0.027

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(30-1) [\frac{0.2}{0.164}]^2 =42.963

What is the approximate p-value of the test?

The degrees of freedom are given by:

df=n-1= 30-1=29

For this case since we have a right tailed test the p value is given by:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

And the best option would be:

b. between .025 and .05

6 0
3 years ago
Given the function f(x)=|x+5|,find each of the following<br> F(10),f(-5),f(0)
stira [4]

I hope this helps you

x=10 f(10)=|10+5|=|15|=15

x=-5 f(-5)=|-5+5|=|0|=0

x=0 f(0)=|0+5|=|5|=5

3 0
2 years ago
Read 2 more answers
What is 5(2x - 2y) - (4x + 3y)
EastWind [94]

Answer:

6x - 13y

Step-by-step explanation:

5(2x - 2y) - (4x + 3y)

10x - 10y - 4x - 3y

10x - 4x - 10y - 3y

6x - 13y

7 0
2 years ago
What's the y intercept of the following equation?<br> 10y = 20x + 30
nikklg [1K]

Answer:

10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3

3 0
2 years ago
20 points and will give brainliest!!
FromTheMoon [43]

Answer:

C=0.65M+22.65

Step-by-step explanation:

The standard charge includes an initial fee and plus an addditional fee for each mile driven and is given by:

S=0.40M+17.75

The insurance charge is given by:

I=0.25M+4.90

So, the total charge C will be the sum of the standard charge S and the insurance charge I:

C=S+I

Substitute:

C=(0.40M+17.75)+(0.25M+4.90)

Rearrange:

C=(0.40M+0.25M)+(17.75+4.90)

Add:

C=0.65M+22.65

And we have acauired our equation relating C to M!

4 0
2 years ago
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