Answer:
Step-by-step explanation:
m∠ JHI + m∠GHJ = 180 { linear pair}
m∠JHI + 90 = 180
m∠JHI = 180 -90 = 90
In ΔGHJ and ΔJHI,
GJ = IJ { given}
JH = JH {common}
m∠ JHI = m∠GHJ { above proved}
ΔGHJ ≅ ΔJHI { Angle Side Side congruence}
Answer:
A sample of 16577 is required.
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 z-score that has a p-value of
.
The margin of error is of:

99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?
We have no estimation for the proportion, and thus we use
, which is when the largest sample size will be needed.
The sample size is n for which M = 0.01. So






Rounding up:
A sample of 16577 is required.
Answer:
Step-by-step explanation:
(x+y) (x+y)
=x^2+xy+yx+y^2
=x^2+2xy+y^2
Hope it helps
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Answer:
Step-by-step explanation:
Surface area is pretty synonymous with area.
How much paint is needed to paint the outside of a birdhouse?
Paint is measured in volume, so not surface area
How much wallpaper is needed to cover the walls of your room?
Since its just the walls its not total surface area, but surface area of the walls.
How much water will it take to fill a rectangular container?
water is measured in volume, especially when wanting to fill something.
How much topsoil can a gardener place in his wheelbarrow?
Wants to know how much topsoil is needed to FILL the wheelbarrow, filling is volume. So not surface area.
How much fabric is needed to make a pillowcase for a pillow?
Not asking to fill the pillowcase, just how much is needed for the thin, one layer thick case. So this is surface area.
The first one since the given measurements/guide is Side, Angle, Side