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Alinara [238K]
3 years ago
9

PLEASE HELP HELP HELP HELP

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0
You write nite so I will help
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Sam sees a rocket traveling straight up at an angle of elevation of 24 degrees. If Sam is located 5 miles from the rocket Launch
julsineya [31]

Given :

Angle of elevation, Ф = 24°.

Distance of Sam from launchpad, D = 5 miles.

To Find :

How high is the rocket.

Solution :

Let, height is h.

We know, tan Ф is given by :

tan \ \phi=\dfrac{h}{d}\\\\tan \ 24^{\circ}=\dfrac{h}{5}\\\\h = 5\times tan \ 24^{\circ}\\\\h = 2.226 \ miles

Hence, this is the required solution.

7 0
3 years ago
How do you write 26.17 in word form
olga_2 [115]
Twenty-six and seventeen hundredths 
7 0
3 years ago
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What’s 9 multiplied by 100
Lina20 [59]

The answer is 900.

9 x 100 = 900

6 0
3 years ago
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5. Decide if each of the following statements is true or false. Explain your reasoning in each case.
sertanlavr [38]

Answer:

a. The smaller the sample size, the smaller the margin of error.

False if we see the value for the sample size is on the denominator and if we decrease the value of n then increase the value for the margin of error since the margin of error and the sample size are inversely proportional, with the estimated proportion and the confidence level fixed values.

b. If the margin of error is 0.05 and the observed proportion of red chips is 0.45, then the true population proportion is likely to be between 0.40 and 0.50.

Correct. The confidence interval for the population proportion is given by:

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Or equivalently:

\hat p \pm ME

And if we replace on this case we got:

0.45-0.05=0.40

0.45 +0.05=0.50

So then the true proportion is between 0.4 and 0.5 for this case.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

Now if we analyze the statements one by one we have this:

a. The smaller the sample size, the smaller the margin of error.

False if we see the value for the sample size is on the denominator and if we decrease the value of n then increase the value for the margin of error since the margin of error and the sample size are inversely proportional, with the estimated proportion and the confidence level fixed values.

b. If the margin of error is 0.05 and the observed proportion of red chips is 0.45, then the true population proportion is likely to be between 0.40 and 0.50.

Correct. The confidence interval for the population proportion is given by:

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Or equivalently:

\hat p \pm ME

And if we replace on this case we got:

0.45-0.05=0.40

0.45 +0.05=0.50

So then the true proportion is between 0.4 and 0.5 for this case.

4 0
3 years ago
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
katovenus [111]

Answer:

8 inches

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × b × h

  • b = length of the base
  • h = height

We can sub in the values we know:

16in² = 1/2 × b × 4in

To find b, we divide both sides by 1/2 and 4in:

16in² ÷ (1/2 × 4in) = b

16in² ÷ 2in = b

b = 8in

Hope this helps!

7 0
2 years ago
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