Answer:
The customer can conclude that the company's claim is correct
Step-by-step explanation:
The percentage of lids that has a free yogurt coupon = 20%
The number of cups a loyal customer purchases = 85 yogurt cups
The number of cups that contained a coupon = 12 (14.1%)
The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes
The interval obtained = (0.044, 0.238)
Therefore, the range of proportion within which the true proportion exists is 0.044 <
< 0.238
The range of percentage within which the true percentage exist is therefore;
0.044 × 100 = 4.4% <
× 100 < 0.238 × 100 = 23.8%
Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.
Answer:
x = 10
Step-by-step explanation:
Q is the midpoint of PR: PQ = QR
4x + 5 = 2x + 25
2x = 20
x = 10
Step-by-step explanation:
first collect terms, while the < remains unchange
<u>P</u><u> </u><u> </u>< 1-2
9
cross examine and get the answer
<u>P</u><u> </u>< <u>-</u><u>1</u>
9 1
<em>P</em><em> </em><em>=</em><em> </em><em>-</em><em>9</em>
Answer:
The product of (x-3) and (x+7) is x² + 4x - 21
Step-by-step explanation:
The product of (x-3) and (x+7) is x² + 4x - 21
The product of (x - 3) and (x + 7) can be found as follows:
(x - 3)(x + 7)
open the bracket by multiplying
Therefore,
x(x) +x(7) - 3(x) - 3(7)
x² + 7x - 3x - 21
combine like terms
x² + 4x - 21
The answer should be b¹². You add the exponents of each constant. In the case of the simple b the exponent would be one.