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gavmur [86]
3 years ago
7

What is the variance of the data set? 8, 9, 10, 16, 17

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4,  -4² = 16

<span>9 - 12 = -3,  -3² = 9
</span>
<span>10 - 12 = -2,  -2² = 4
</span>
<span>16- 12 = 4,  4² = 16</span>

<span>17- 12 = -5,  -5² = 25
</span>
Sum of the squares =   16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14
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A number when divided by 780 gives remainder 38 .What
baherus [9]

Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

a=bq+r                ...(i)

Where, q is quotient and 0\leq r is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting b=780,\ r=38 in (i), we get

a=(780)q+38

So, given number is in the form of 780q+38, where q is an integer.

On dividing 780q+38 by 26, we get

\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}

\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}

Since q is an integer, therefore (30q+1) is also an integer but \dfrac{12}{26} is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

4 0
3 years ago
Solve for b.<br><br> Help pls thank u !!!!
Nadusha1986 [10]

Step-by-step explanation:

3b - 3.76 = 1.34

3b = 3.76+ 1.34

3b = 5.1

b= 5.1/3

= 1.7

5 0
3 years ago
This problem shows division without a remainder.
abruzzese [7]

Step-by-step explanation:

quotient is 40 and remainder is 8

5 0
3 years ago
66
likoan [24]

Answer: 230cm²

Step-by-step explanation:

>We can do this by splitting the figure into 2 trapeziums.

>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula: \frac{1}{2} * (a+b) * (total height).

>Thus,

Area = \frac{1}{2} *(7+16)*20=230

4 0
2 years ago
Read 2 more answers
What is the length x of PQ
Bas_tet [7]

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

6 0
3 years ago
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