90 degrees, it looks like a right angle
Hope it helps :))
Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Here:
we can use 1 sample proportion test to check the claim of John
H₀ : p₀ = 0.4
H₁ : p₀ ≠ 0.4
Test statistic is
z = p - p₀/√p₀(1-p₀)n
Let X be the random variable denoting the number of heads.
Now p = X/n
= 8/50
= 0.16
p₀ = 0.4
1-p₀ = 1-0.4
= 0.6
z = -3.464
since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Learn more about Null hypothesis here:
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Let x be the number of pages of advertisements.
Write a proportion from the table:
of a page of advertisment - 5 pages in a magazine
x pages of advertisment - 98 pages in a magazine,
then

Find x:

Answer: 13 whole pages and
of 14th page are advertisments, so 14 pages contain advertisments.
Answer:
Step-by-step explanation:
The given functions are
It is given that
Substitute the values of given functions in the above equation.
Combine like terms.
Therefore, the required function is
.