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olasank [31]
3 years ago
13

The absolute deviation of x from 19 is 8

Mathematics
1 answer:
Burka [1]3 years ago
5 0

Answer:

13.5 is your answer

Step-by-step explanation:

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A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents
Cerrena [4.2K]

Answer:

y(t) = 750 -50t

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

Notice that we have a constant amount. The initial depth: 750 meters

 Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:

-50t.

Where t represents the time in hours.

Then the equation that represents the new position of the submarine in relation to the level of the sea:

y(t) = 750 -50t

4 0
3 years ago
Read 2 more answers
If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

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

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in secon
Svetlanka [38]

Answer:

The answer is A :))

Step-by-step explanation:

4 0
3 years ago
What is the length of PC?
marshall27 [118]
<span>31 trillion kilometers or 19 trillion miles.</span>
7 0
3 years ago
Slope????????????????​
MAXImum [283]
M = Undefined (because the line is perfectly vertical)
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