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3 years ago

The mean of five numbers is 8. when another number is added the mean is 7. find the number added

Mathematics

1 answer:

sasho [114]3 years ago

4 0

Answer:

$\large \boxed{\sf \ \ 2 \ \ }$

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

$\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8$

When another number is added the mean is 7, let s note x the another number we can write

$\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7$

From the first equation we can say

$x_1+x_2+x_3+x_4+x_5=8*5=40$

So the second equation becomes

$\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\ \dfrac{40+x}{6}=7\\\\40 + x = 6*7=42\\\\ x = 42-40 = 2\\$

The solution is then 2

Hope this helps

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olganol [36]

Answer:

a. x = 5, m∠FGH = 22°

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Step-by-step explanation:

Since GH bisects FGI this means it divides the angle in two equal parts.

a. solving for x means equating them:

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If a decimal ends at two places after the decimal...(ex. .75)...it ends in the hundredths place, can be written as that number in the numerator and 100 in the denominator....(ex 75/100) and is read as seventy-five hundredths.

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Because each decimal in your problem has a different amount of decimal places, it makes for different denominators. But, We can add a zero to the end of a decimal without changing it's value; if we add a zero to the end of .5 and make it .50 , we then can write it as 50/100 and would now have like denominators.

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What is the area of this polygon?

Cerrena [4.2K]

Answer:

<h2>39 units</h2>

Solution,

Total area=Area of ABCD+ Area of triangle ADE

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hope this helps...

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