A painting is 4 feet long.A photo frame is 10 inches long.How many inches longer is the painting then the photo frame?
1 answer:
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Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
Step-by-step explanation:
Information given
represent the sample mean for the amount spent each shopper
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 = (x + 5)² ← add 2 to both sides
y = (x + 5)² + 2
or
f(x) = (x + 5)² + 2 → D