Answer:
All the possible values of
lies in the interval
.
Step-by-step explanation:
As the range of
is

As the range of
is

As
contains the set of number between 3 to 4, and
contains the values of from 4 to 5.
can be obtained by subtracting the values of
from
.
So,
⇒ 
⇒ 
Therefore, all the possible values of
lies in the interval
.
Keywords: number, value, interval
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Answer:
75,62.5
Step-by-step explanation:
Given that Mr. Dennis gave his class a 20-question multiple choice quiz. The distribution of raw scores had a mean of 15 and a standard deviation of 2.5
If X is the correct questions in the 20 mcq then
X is with mean = 15 and std dev = 2.5
when score is multiplied by 5
random variable now is
Y = 5x
E(Y) = Mean of Y = 

Thus new score out of 100 would have mean = 75 and std deviation = 62.5
The answer is going to be 35 :)
Answer:
8 ÷ 1/3 and 12 ÷ 1/2
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
We solve all statements one by one,
Then the solutions are as follows
1. 8 ÷ 1/3
= (8 × 3) ÷ 1
= 24
2. 6 ÷ 1/8
= (6 × 8) ÷ 1
= 48
3. 9 ÷ 1/4
= (9 × 4) ÷ 1
= 36
4. 12 ÷ 1/2
= (12 × 2) ÷ 1
= 24
Hence, 8 ÷ 1/3 and 12 ÷ 1/2 is equals to 24.
Answer:
y=1/2x+4
Step-by-step explanation:
4y-6 = 2x+10
+6 +6
4y= 2x+16
Divide by 4 on both sides
y= 1/2x+4
That's in the y-intercept form :)