Question 9
1 answer:
Answer:
<u>The</u><u> </u><u>requ</u><u>ired</u><u> </u><u>num</u><u>ber</u><u> is</u><u> </u><u>7</u><u>0</u><u>.</u>
Step-by-step explanation:
let the no. be 10y + x where x is unit digit and y is ten's digit.
given , sum of the digit is 7
x + y = 7 ...(1)
also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.
given reversed digit decreases the number by 63 .
so, 10y + x - ( 10x + y ) = 63
9y -9x = 63
( dividing both side by 9 )
y - x = 7 ....(2)
adding 1 and 2 [ refer attachment ]
so the required original number is
10y + x = 10×7+0 = 70
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Answer:
and
Step-by-step explanation:
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, and
The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
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The correct answer is the first answer choice.
Answer:
(1) Variance = 4.5 and Standard deviation = 2.121.
(2) Variance = 4.5 and Standard deviation = 2.121.
(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.
Step-by-step explanation:
We are given with the following set of data below;
X
5 5 - 8 = -3 9
5 5 - 8 = -3 9
8 8 - 8 = 0 0
10 10 - 8 = 2 4
10 10 - 8 = 2 4
10 10 - 8 = 2 4
9 9 - 8 = 1 1
9 9 - 8 = 1 1
<u> 6 </u> 6 - 8 = -2 <u> 4 </u>
Total <u> 72 </u> <u> 36 </u>
<u>Firstly, the mean of the above data is given by;</u>
Mean, =
= = 8
(1)Now, the variance of the given data is;
Variance =
= = 4.5
So, the standard deviation, (S.D.) =
= = 2.12
(2) Now, each value is added by 2; so the new data set is given by;
X
7 7 - 10 = -3 9
7 7 - 10 = -3 9
10 10 - 10 = 0 0
12 12 - 10 = 2 4
12 12 - 10 = 2 4
12 12 - 10 = 2 4
11 11 - 10 = 1 1
11 11 - 10 = 1 1
<u> 8 </u> 8 - 10 = -2 <u> 4 </u>
Total <u> 90 </u> <u> 36 </u>
<u>Firstly, the mean of the above data is given by;</u>
Mean, =
= = 10
(1)Now, the variance of the given data is;
Variance =
= = 4.5
So, the new standard deviation, (S.D.) =
= = 2.12
(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.