Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
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:
f(3) = -11
Step-by-step explanation:
f(3) means you sub the value that is inside into x
f(3) = -3(3) - 2
= -9 - 2
= -11
Answer:
x = 124°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the given angles and equate to 540°
90° + 122° + 105° + 99° x = 540° , that is
416° + x = 540° ( subtract 416° from both sides )
x = 124°