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natta225 [31]
2 years ago
10

The circle graph shows how a family spends its annual income. If $26,450 is used for Auto and Entertainment combined, what is th

e total annual income? housing 26%, food 15%, clothing 14%, auto 12%, entertainment 11%, saving 9%, insurance 10%
Mathematics
1 answer:
nika2105 [10]2 years ago
5 0
12%+11%=23% so, $26,450/.23=$115,000.
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The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n
wariber [46]

Answer:

<em>Mean of the sample = 27.83</em>

<em> The variance of the the sample = 106.96</em>

<em> </em><em>Standard deviation of the sample = 10.34</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given random sample of six employees

x     26    32    29    16     45    19

mean of the sample

x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83

Mean of the given data = 27.83

<u>Step(ii):-</u>

<u>Given data</u>

x           :       26         32           29           16           45        19

x - x⁻     :      -1.83      4.17        1.17       -11.83     17.17    -8.83

(x - x⁻)²  :    3.3489   17.3889   1.3689   139.9489  294.80 77.9689

∑ (x-x⁻)²  =   534.8245

Given sample size 'n' =6

The variance of given data

           S²  = ∑(x-x⁻)² / n-1  

           S^{2}  = \frac{534.8245}{6-1} = 106.9649

The variance of the given sample = 106.9649

<u> Step(iii):-</u>

Standard deviation of the given data

S = \sqrt{variance} = \sqrt{106.9649} =10.3423

Standard deviation of the sample = 10.3423

8 0
2 years ago
First, she needs to find her resting heart rate by counting her pulse for one minute immediately after she wakes up for 5 days i
andreyandreev [35.5K]

Answer:

63

Step-by-step explanation:

She finds her average resting heart rate to be 62 after  5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63

Her pulse on all the other days is 63.

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2 years ago
Name the value of each 2 in 222,222?
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Hundred thousand,ten thousand,hundred,ten,ones
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2 years ago
Someone explain and help pls
jasenka [17]
Your answer for the girls in the gymnastics club is correct.

Do the percentage of water the same way:  Divide 139 by 197.
That'll give you the decimal amount that's covered by water.
To change the decimal to a percentage, move the decimal point
two places that way  ==> .
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2 years ago
Andie is making bracelets. She will put 8 charms on each bracelet. There are 48 charms. How many bracelets can she make?
slamgirl [31]

Answer:

obviously 6 :>

Step-by-step explanation:

5 0
2 years ago
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