F(g(2))
g(2)=2^2+1=4+1=5
f(5)=5-3=2
f(g(2))=2
Answer:
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
Step-by-step explanation:
The national average is 17% .The z proportional hypothesis test is used.
1) Let the null and alternate hypothesis be
H0: p =0.17
against the claim
Ha: p ≠ 0.17
Choose the significance level ∝= 0.05
The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.
Computing
z= p^-p / sqrt [pq/n]
Z= 0.22-0.17/ √0.17*(1- 0.17)/90147
z= 39.965
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
Alberto and 9 of his friends went out to eat.
1 + 9 = 10
So there are 10 people in total.
Each person paid the same amount, $18.
18 × 10 = 180
The total bill was $180.
If a² + b² = c², then the triangle is <u>right</u>.
So we have (8)² + (11)² <u>?</u> (13)²
(8)² is 64, (11)² is 121, and (13)² is 169.
So we have 64 + 121 <u>?</u> 169
64 + 121 is 185 and we can see that 185 > 169.
This triangle would not be a right triangle.
In fact, it would be an acute triangle.
So no, it's not a right triangle.
Answer:
Step-by-step explanation:
Reducing 3 from numerator and denominator,
