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Margaret [11]
3 years ago
8

The mean of six numbers is 10. When

Mathematics
2 answers:
vivado [14]3 years ago
5 0

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

raketka [301]3 years ago
3 0

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = \frac{sum}{count}

Given the mean of 6 numbers is 10, then

\frac{sum}{6} = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

\frac{60+x}{7} = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

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Factor 3/4 out of 3/4z + 6
Alenkasestr [34]
ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
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\frac{3}{4} z + 6

The first term is already having a factor of
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The constant term which is the second term is not having a factor of
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so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
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\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
Let us rewrite the right most fraction using the normal division symbol.

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




We simplify to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6  \times  \frac{4}{3}  )



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\frac{3}{4} z + 6 =  \frac{3}{4} (z +  2 \times  4  )



\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


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Step-by-step explanation:

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