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yarga [219]
3 years ago
8

Which expression is equal to 0: A) -24/6 -4, B) -24/-6 +4, C) 24/6+4, D)-24/-6 -4?

Mathematics
1 answer:
djyliett [7]3 years ago
3 0
كنتهااذلذطبطغلهتحنمحنختهزغذفذفبعام نحنخاهاعدعدتدعزهتخرمرممتمرمومو
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) 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
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0
3 years ago
The difference of a number and 8 is no more then 13
skad [1K]

x - 8 = </= 13

x could be from 9 to 21

6 0
3 years ago
Find the area of the shaded region.
valentina_108 [34]

Answer:

Area of the circle= π(27.8²)

Step-by-step explanation:

8 0
3 years ago
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Find the area of the figure to the nearest tenth.
ad-work [718]

Answer: 31.3 square feet

Step-by-step explanation:

6 0
2 years ago
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