Answer:
y = -1/3
x = 0
Step-by-step explanation:
3x-6y = 2 then 3x = 2+6y, x=(2+6y)/3
4x+3y = -1
substitute for x
4(2/3+2y)-6y = 2
8/3+8y-6y = 2
reduce
2y = 2-8/3
2y = -2/3
divide both sides by 2
y = -1/3
4x+3(-1/3) = -1
4x = 0
x = 0
Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
, where E = margin of error,
= sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
The odds are one in three hundred twelve.
=1/312
Answer:
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 510
Sample mean,
= 502
Sample size, n = 60
Sample standard deviation, s = 30
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,

We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.