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Margarita [4]
3 years ago
8

Isabell is standing at the top of a waterslide that leads to a pool below. the angle of depression from top of the slide to the

pool is 31.66°, and the slide is 45 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot.
22 ft
24 ft
39 ft
72 ft
Mathematics
2 answers:
uranmaximum [27]3 years ago
5 0
I think the answer is 24
Elodia [21]3 years ago
4 0
24 should be the answer as is she standing from 45 feet above, and you round its about 24 or 39.
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A researcher claims that a post-lunch nap decreases the amount of time it takes to run 20 meters. Ten subjects are randomly sele
MakcuM [25]

Answer:

4. A​ post-lunch nap decreases the amount of time it takes males to sprint 20 meters.

Step-by-step explanation:

This question wants us to state the claim and the hypothesis.

This researchers claim can be found in the first sentence of this question.

Claim: post lunch nap decreases the time it takes to run for 20 meters.

The correct answer option for the claim is the 4th answer option. And it means that sleeping after lunch reduces the time it takes males to run in a 20m race.

B. Hypothesis

H0: Ud <= 0

H1: Ud > 0

d = is the race time without a nap - race time with a nap

5 0
2 years ago
Sorry if this is a lot. It’s true of false.
Firlakuza [10]

1. false 2. true 3. true 4.false

Step-by-step explanation:

7 0
2 years ago
The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

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".

\bar X=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
What is the equation of the line that passes through the points (1,5) and (0,3)?
Pavlova-9 [17]

Answer:

y=2x+3

Step-by-step explanation:

first use the y2-y1/x2-x1 then use y=mx+b after

plug in 3 for y2 and 5 for y1

then plug in 0 for x2 and 1 for x1

\frac{3-5}{0-1}=\frac{-2}{-1} =2 and 2 is ur slope

___________________

now use y=mx+b

i usually use the first point but u can u anyone u want

plug in 1 for x

plug in 5 for y

and plug in 2 for m

5=2(1)+b

5=2+b

subtract 2 on both sides

5-2=3

3=b and b is ur y-intercept

y=2x+3

hope this helps

4 0
3 years ago
Rico picked 16 lb of peaches and shared
ser-zykov [4K]

Answer:

2\frac{2}{3}

Step-by-step explanation:

16 divided by 6 is 2.66666667

Since 1/3 is .33 , 2/3 is .66

4 0
2 years ago
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