Answer:
Area = 
Step-by-step explanation:
Length of the given rectangle 'l' = (15 -
)
Width of the given rectangle 'w' = 
Area of the rectangle = lw
= 
= 
= 
Therefore, expression that defines the area of the given rectangle will be,
Area = 
Answer:
11 hours she worked at the grocery store
Step-by-step explanation:
assuming,
the number of hours worked at tutoring = x
the number of hours worked at grocery store = y
which means,
the amount she made at tutoring = x* $15
the amount she made at grocery store = y*$9
we have 2 equations
<em>total number of hours</em>
1) x+y= 15
<em>total amount she earned</em>
2) x* $15+ y* $9= $159
From equation 1
x+y= 15
x=15-y
<em>we replace this x value in equation 2</em>
x* $15+ y* $9= $159
(15-y)* $15+ y* $9= $159
(15*15)- 15y+9y=159
225-6y=159
225-159=6y
66=6y
66/6=y
<u>11=y</u> <em>the number of hours she worked at grocery store. </em>
<em>we place y=11 in our derived x equation</em>
x=15-y
x=15-11
<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>
Answer:
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Past studies suggest this proportion will be about 0.15
This means that 
Find the sample size needed if the margin of error of the confidence interval is to be about 0.04
This is n when M = 0.04. So






Rounding up
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
Teds minimum grade he needs on his third test is 65
85 + 60 + 65 = 210
210 divide by three (as there are three tests) = 70