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Norma-Jean [14]
3 years ago
15

Thanks for the help! Been stuck on this one for a little while.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

B. \sqrt{14}

Step-by-step explanation:

Since 3.74 is rounded to the hundredths place, it is not the ideal exact solution for m^2 = 14.

To solve for m you would have to square root m and 14, which gives you \sqrt{14}. This is the best answer for the problem.

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M∠1 = 65°, what is m∠2?
Nookie1986 [14]

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

8 0
2 years ago
Find the slope of the line that goes through the given points.<br> (-10,5) and (-7, - 10)
Mnenie [13.5K]

Answer:

-5

Step-by-step explanation:

Slope is y2-y1/ x2-x1. So -10 -5/ -7 +10 = -15/3. Then you simplify that to -5

4 0
3 years ago
Read 2 more answers
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

Z = \frac{X - \mu}{s}

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
If 2x + 5y = 10 and x = 3y + 1, what is 11x + 11y?
saul85 [17]
You have to solve the two equations by eliminating x or y 
<span>2x+5y=10 </span>
<span>x-3y=1 </span>
<span>Multiply all terms of second equation by two and subtract from first equation, thus eliminating x </span>

<span>2x+5y-2x+6y=10-2 </span>
<span>11y=8 </span>
<span>y=8/11 </span>
<span>x=3y+1=3* 8/11+1=25/11 </span>
<span>11x+11y= 11*25/11+ 11*8/11 </span>
<span>= 25+8=33</span>
6 0
3 years ago
Jamie wants to put tiles on the walls and floor of his room (but not on the ceiling). The length of his room is 10 ft, the width
slava [35]

Answer:

Jamie would need 140 tiles.

8 0
3 years ago
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