<h2>
Answer with explanation:</h2>
Given : A store owner claims that the proportion of shoppers who use coupons is less than 25%.
Then , the null hypothesis and the alternative hypothesis will be :-
, since the alternative hypothesis is left tailed , so the test is a left tailed test.
Also,t the test statistic for this hypothesis test is −1.17 and the critical value for this hypothesis test is −1.282 .
We know that when the test statistic value if greater than the critical value , then we reject the null hypothesis.
Here test statistic value(−1.17 ) is greater the critical value(−1.282) for this hypothesis , so we reject the null hypothesis.
So we conclude that there is enough evidence to support the claim.
Answer:
x = - 7, x = 3
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² + 4x - 21 = 0
Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)
The factors are + 7 and - 3, since
7 × - 3 = - 21 and 7 - 3 = + 4, then
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 3 = 0 ⇒ x = 3
Answer:
6(8+3x)
Step-by-step explanation:
48+18x
We can factor out an 6 from each term in the expression
6(8+3x)
Semi --> twice
semimonthly --> occuring twice a month
Thus:
You are paid twice a month
12 months in a year
12 x 2 = 24 paychecks an year