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Katyanochek1 [597]

2 years ago

11

A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour.If this velocit

y is multiplied by √2 the satellite will have the minimum velocity necessary to escape Earth's gravity and will follow a parabolic path with the center of Earth as the focus.
Required:
Find the distance between the surface of the Earth and the satellite when θ = 50°.

a. Distance between surface of Earth and satellite:4496 miles
b. Distance between surface of Earth and satellite:4322 miles
c. Distance between surface of Earth and satellite:1286 miles
d. Distance between surface of Earth and satellite:643 miles
e. Distance between surface of Earth and satellite:1492 miles

1 answer:

AveGali [126]2 years ago

3 0

Answer:

64.3 miles ( D)

Step-by-step explanation:

Circular orbit height ( from the center of the earth ) = 100 mile

angle between satellite and earth = 50°

escape velocity = √2 * 17500 = 24748.73 miles /hour

distance between surface of earth and satellite

x = cos ∅

∴ Cos ∅ = x / 100

x = cos 50° * 100 ≈ 64.3 miles

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If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the the actual mean starting age of smokers is significantly lower than 19.

Step-by-step explanation:

1) Data given and notation

$\bar X=18.1$ represent the mean age when smokers first start to smoke varies

$s=1.3$ represent the standard deviation for the sample

$\sigma=2.1$ represent the population standard deviation

$n=37$ sample size

$\mu_o =5.7$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean starting age is at least 19, the system of hypothesis would be:

Null hypothesis: $\mu\geq 19$

Alternative hypothesis: $\mu < 19$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

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Since is a one-side lower test the p value would be:

$p_v =P(z$

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