The width of a rectangle is 1 less than twice its length. If the area of the rectangle is 176

pantera1 [17]

400*.37=148
400+148=548

4 0

3 years ago

) In 2005, the Health Department in Marion County, Indiana measured the heights and weights of 90,147 school-age children, allow

Lena [83]

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.

3 0

3 years ago

X plus 1/3 equals nine enter your answer in the box in simplest form

LekaFEV [45]

$= > x + \frac{1}{3} = 9$

$\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}$

$= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}$

Hence,

$Value \: \: \: of \: \: x \: \: is \: \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}$