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Mademuasel [1]
3 years ago
15

HELP ASAP!! - Natalie is working two summer jobs, making $7 per hour babysitting and making $11 per hour clearing tables. In a g

iven week, she can work a maximum of 16 total hours and must earn at least $140. If Natalie worked 11 hours clearing tables, determine the minimum number of whole hours babysitting that she must work to meet her requirements.
Mathematics
1 answer:
LenKa [72]3 years ago
3 0
11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
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2 years ago
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol
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Answer:

(9-8) -2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 0.0743

(9-8) +2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 1.926

And we are 9% confidence that the true mean for the difference of the population means is given by:

0.0743 \leq \mu_1 -\mu_2 \leq 1.926

Step-by-step explanation:

For this problem we have the following data given:

\bar X_1 = 9 represent the sample mean for one of the departments

\bar X_2 = 8 represent the sample mean for the other department

n_1 = 25 represent the sample size for the first group

n_2 = 20 represent the sample size for the second group

s_1 = 2 represent the deviation for the first group

s_2 =1 represent the deviation for the second group

Confidence interval

The confidence interval for the difference in the true means is given by:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}

The confidence given is 95% or 9.5, then the significance level is \alpha=0.05 and \alpha/2 =0.025. The degrees of freedom are given by:

df=n_1 +n_2 -2= 20+25-2= 43

And the critical value for this case is t_{\alpha/2}=2.02

And replacing we got:

(9-8) -2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 0.0743

(9-8) +2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 1.926

And we are 9% confidence that the true mean for the difference of the population means is given by:

0.0743 \leq \mu_1 -\mu_2 \leq 1.926

4 0
3 years ago
new bookshelf for his book stores new mystery section 32 books there are 1120 mystery books how many shelves will he need to bui
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Answer:

35 Shelves

Step-by-step explanation:

Important Information:

Mystery section 32 books there are 1120 mystery books

[ So 32 Books in each Section ]

Note:

Divide

Question to Answer:

How many shelves will he need to build

Explanation/Solution:

\frac{1120}{32}

=

35

Hence, He Need to build 35 Shelves.

3 0
3 years ago
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