Answer:
Can u add the pic and I’ll answer it
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
C. y almost-equals 0.59 x + 0.03
Step-by-step explanation:
The linear regression equation is y ≈ 0.594 x + 0.029; r ≈ 0.998.
0.594 must be rounded down to 0.59 (digits finished in 1, 2, 3 and 4 are rounded down)
0.029 must be rounded up to 0.03 (digits finished in 5, 6, 7, 8 and 9 are rounded up)
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.
In this diagram we see that 80 and 3x+4y are both vertical angles and vertical angles are congruent or always equal so we can set those two equations equal to each other then we can see that a line splits two angles making them supplementary (they equal 180 degrees) So we can have another equation, the two equations are:
3x+4y=80 and 3x+4y+7x-8y=180 (add like terms to simplify and get 10x-4y=180
Then use elimination to get rid of the y variables
10x-4y=180 (plus)
+3x+4y=80 (the negative 4 and positive 4 cancels each other out so you are left with:)
13x=160 (divide by x)
x=12.30769 which can be rounded to x=12.31
Then we have to plug in x into the first equation:
3(12.31) + 4y = 80
36.93 + 4y = 80 (subtract 36.93 from 80)
4y = 43.07 (divide)
y=10.7675 or rounded to 10.77
so x=12.31 and y=10.77