Answer:
- a) about 3.0%
- b) about 7×10^-6
Step-by-step explanation:
These sorts of calculations are best done with a calculator that knows statistics.
a) The z-value of the limit ofv interest is (45,000 -35,551)/(5100) ≈ 1.8743. The empirical rule tells you between 16 and 2.5% of the distribution will lie above a limit that is between 1 and 2 standard deviations. So, our calculator value of 3% is approximately correct.
b) The standard deviation of the sample mean is reduced by a factor of √75 from that of the parent distribution for a sample size of 75. Then the z-value is ...
... (38,000 - 35,441)/(5100/√75) ≈ 2559/588.90 ≈ 4.345
The probability of exceeding this valus is pretty small, about 6.95×10^-6.
Answer:right
Second part: reflected over the x-axis . On edge
Step-by-step explanation:
Answer:
We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.
Step-by-step explanation:
A confidence interval of a proportion p% at the x% level with m% margin of error means that:
We are x% sure that the true mean of the population is in the interval from (p-x)% to (p+x)%.
In this problem, we have that
90% confidence level
44% with a margin of error of 2%
So:
We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.
Answer:
x > 2 and x < -2
Step-by-step explanation:
Ratio of rise can also mean the slope so let's find the slope given the two points.
slope formula;
m = y2 - y1/ x2 - x1 (3, 4), (-2, 0) (x1, y1), (x2, y2)
m = 0 - 4/ -2 - 3
m = -4/-5
m = 4/5
so your answer is B.
hope this helps, God bless!