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Ugo [173]
3 years ago
14

Suppose M is the midpoint

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

x   =   9

Since M is the midpoint of XY:

XM   =   MY

XM =  2x  +  11

MY  =  5x  -  16

2x  +  11   =  5x  -  16

5x  -  2x   =  11  +  16

3x    =   27

x    =  27/3

x   =   8

Learn more here: brainly.com/question/18315903

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Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the st
kari74 [83]

The margin of error of the random selection is 0.20

The given parameters are:

n = 420 --- the sample size

\sigma = 1.6 --- the standard deviation

\bar x = 10 --- the mean

\alpha = 99\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{1.6^2}{420}}

E = z \times \sqrt{\frac{2.56}{420}}

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

E = 2.576 \times \sqrt{\frac{2.56}{420}}

E = 2.576 \times \sqrt{0.006095}

Take square roots

E = 2.576 \times 0.0781

Multiply

E = 0.2012

Approximate

E = 0.20

Hence, the margin of error is 0.20

Read more about margin of error at:

brainly.com/question/14396648

8 0
3 years ago
Read 2 more answers
How many different arrangements can be made using all the letters in the word topic
masya89 [10]
Number of difference arrangements = 5! = 5 x 4 x 3 x 2 x 1 = 120

Answer: There are 120 different arrangements.
4 0
3 years ago
Read 2 more answers
.is BLANK <br> than<br> is fewer<br> than<br> 3 &lt; 5
Travka [436]

Answer:

I do not know what you just said so I assume your asking if 3 is less than 5 and yes 3 is less than 5

3 0
3 years ago
Please help me find the answe asap
Andreyy89

Answer:

B

Step-by-step explanation:

the mean is calculated as

mean = \frac{sum}{count}

this year's mean = \frac{7+3.3+2}{3} = \frac{12.3}{3} = 4.1

last year's mean = \frac{5.3+1.6+2.4}{3} = \frac{9.3}{3} = 3.1

difference = 4.1 - 3.1 = 1

4 0
2 years ago
Does PY=PZ no or yes<br>​
Alecsey [184]

Answer:

NO

Step-by-step explanation:

4 0
3 years ago
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