Answer:
12
Step-by-step explanation:
2/3 x + x = 20
2/3 x + 3/3x = 20
5/3 x = 20 ... times 3/5 both sides
x = 12
check: 2/3 x 12 + 12 = 8 + 12 = 20
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The answer is
AB= 4U, and A'B'=AB+2U= 4U+2U=6U
A'B'=6U
Answer:
0.149
Step-by-step explanation:
Here the hypothesized mean=35
Null hypothesis:μ=35
Alternative hypothesis:μ>35
It is clearly stated in the problem that the mayor thinks average age is now lower that is hypothesized mean is greater.
we know that n=40,xbar=36 and s=6.
we don't know about population standard deviation and the estimate sample standard deviation is given so, we use t-test statistic.
t=(xbar-μ)/(sd/sqrt(n))=36-35/6/(sqrt(40)) = 1.0541
The p-value is calculated using t-test statistic and the alternative hypothesis. Using excel function T.DIST.RT(1.0541,39) we get p-value=0.149
RT(right tailed) is used because alternative hypothesis is μ>35.
Hence the p-value is 0.149.