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emmasim [6.3K]
4 years ago
6

PLEASE HELP!!!! The question is in the picture.

Mathematics
1 answer:
oee [108]4 years ago
8 0
2 and 3 are both 58 as well. For 4 do 180-58 because a straight line is 180 degrees.
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Find the perimeter of the figure.
Brut [27]

Answer:

13 inches

Step-by-step explanation:

3 sides of the small square are on the outside, then add 5 and 3 and (3-1)* to get 13

* you subtract 1 from 3 because you counted the 1 unit when calculating the perimeter of the small square

3 0
3 years ago
Suppose a random variable X has the following probability density function:f(x)=1/x, 1≤x≤C, or f(x)=0 otherwise a) what must the
Sergeeva-Olga [200]

Answer:

a)  C=e^1=e

b) P(X

c) E(X) =\int_{1}^e x \frac{1}{x} dx =x \Big|_1^e \ =e-1

E(X^2) =\int_{1}^e x^2 \frac{1}{x} dx =\frac{x^2}{2} \Big|_1^e \ =\frac{1}{2}(e^2 -1)

Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242

Step-by-step explanation:

a) what must the value of C be so that f(x) is a probability density function?

In order to be a probability function we need this condition:

\int_{1}^C \frac{1}{x} dx =1

And solving the left part of the integral we have:

ln(x) \Big|_1^C \ =1

ln(C)-ln(1)=1, so then C=e^1=e

b) find P(X<2)

We can find this probability on this way using the density function:

P(X

c) find E(X) and Var(X)

We can find the expected value on this way:

E(X) =\int_{1}^e x \frac{1}{x} dx =x \Big|_1^e \ =e-1

In order to find the Var(X) we need to find the second moment given by:

E(X^2) =\int_{1}^e x^2 \frac{1}{x} dx =\frac{x^2}{2} \Big|_1^e \ =\frac{1}{2}(e^2 -1)

And now we can use the following definition:

Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242

5 0
4 years ago
Can someone put x-y=3 onto y=mx+b if m=1- and b=3​
Alina [70]
Y=1x+3 i believe this is the answer
3 0
3 years ago
A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the great
Irina-Kira [14]

Answer: C. 34

Step-by-step explanation: 1749 divided by 50 is 34.94 however those extra cents has to just be counted like a tip because it’s not big enough to count as someone. It has to be a full number. Sorry if I explain weird!

4 0
3 years ago
7- Simplify each expression.<br> -8+2(-5)
postnew [5]

Answer:

-18

Remember PEMDAS.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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