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lesya [120]
3 years ago
7

Plz answer for number 12-18 it homework

Mathematics
2 answers:
SOVA2 [1]3 years ago
5 0

Answer:

12. 1.5

14. 0.62

16. 2.03

18. Relief

Step-by-step explanation:

Hope this helps!

solniwko [45]3 years ago
4 0

Answer:

i cant really see take a closer picture plz

Step-by-step explanation:

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Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?
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Vertical angles is an X but that's how you tell if they're vertical angles
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Solve asap: 3(2y+10)=54<br><br> Within 10 mins pls <br><br> 8th grade
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Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

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What is the greatest common factor of 65 and 95
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4. A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean
Ede4ka [16]

Adding 2 to each value of the random variable X makes a new random variable X+2. Its mean would be

E[X+2]=E[X]+E[2]=E[X]+2

since expectation is linear, and the expected value of a constant is that constant. E[X] is the mean of X, so the new mean would be

E[X+2]=10+2=12

The variance of a random variable X is

V[X]=E[X^2]-E[X]^2

so the variance of X+2 would be

V[X+2]=E[(X+2)^2]-E[X+2]^2

We already know E[X+2]=12, so simplifying above, we get

V[X+2]=E[X^2+4X+4]-12^2

V[X+2]=E[X^2]+4E[X]+4-12^2

V[X+2]=(V[X]+E[X]^2)+4E[X]-140

Standard deviation is the square root of variance, so V[X]=3^2=9.

\implies V[X+2]=(9+10^2)+4(10)-140=9

so the standard deviation remains unchanged at 3.

NB: More generally, the variance of aX+b for a,b\in\mathbb R is

V[aX+b]=a^2V[X]+b^2V[1]

but the variance of a constant is 0. In this case, a=1, so we're left with V[X+2]=V[X], as expected.

5 0
3 years ago
If your heart rate is 153 beats per minute during strenuous exercise, what is the time per beat in units of seconds?
MrMuchimi
I think it would be 153/60 sec which is 2.55 seconds per beat.
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