Answer:
Step-by-step explanation:
information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value for the test
Hypothesis to test
We want to test if the true mean is less than 12, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We can replace in formula (1) the info given like this:
Answer:
15/17
Step-by-step explanation:
cos=opp/adj
cos C=15/17
$15 because a mean would allow him to spend $250 over the five months BUT he has already spent $235.
$250 - $235 = $15
Answer:
A
Step-by-step explanation:
I assume that the whole expression a⁸a³ is under the square root.
then remember 2 things :
1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.
e.g. x³x² = x⁵ because
x×x×x × x×x = x×x×x×x×x = x⁵
2. a square root as exponent is 1/2.
a cubic root is 1/3 and so on.
therefore
sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2
Answer:
Simplified expression is 26y - 18
Step-by-step explanation:
15y - 10 + y(2 + 9) - 8
15y - 10 + 2y + 9y - 8
26y - 18