Answer:
1) E
2) D
3) G
4) I
Step-by-step explanation:
1)
P = 2(l + w)
P = 2(3a + 3 + 8a - 12)
P = 2(11a - 9)
P = 22a - 18
2)
P = 22a - 18
P = 22(3) - 18
P = 66 - 18
P = 48
3)
P = a + b + c
P = 3b + 7 + 7b - 2 + 7b - 2
P = 17b + 3
4)
P = 17b + 3
P = 17(6) + 3
P = 102 + 3
P = 105
5 is the answer
hope i helped
Answer:
1. 50 cm
2. 550 mm
3. 5000 mm
4. 5000 cm
5. 5000 m
Step-by-step explanation:
We can convert all the measures in same unit to arrange them one by one.
5000 cm:
As there are 10 millimeters in 1 cm,
5000 cm = 5000*10mm
=> 50000 mm
5000 meters:
As there are 100 cms in one meter
5000 m = 5000*100 cm
=> 500000 cm
Now to convert in millimeter
500000*10= 5000000 mm
50 cm:
50*10 = 500 mm
Then there is 550 mm and 5000 mm
So, the order from least to greatest is:
1. 500 mm which is equivalent of 50 cm
2. 550 mm
3. 5000 mm
4. 50000 mm which was equivalent of 5000 cm
5. 5000000 mm which was equivalent of 5000 m ..
Answer:
a)
, in which z is related to the confidence level.
b) A sample size of 991 is needed.
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:

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that 
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
This is n for which
. So





, in which z is related to the confidence level.
Question b:
99% confidence level,
So
, z is the value of Z that has a pvalue of
, so
.



Rounding up
A sample size of 991 is needed.
Two solutions:
1. x =(100-√2160)/2=50-6√ 15 = 26.762
2. x =(100+√2160)/2=50+6√ 15 = 73.238