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3 years ago

Please help me do this Ratios ____:12 = 7: 14

Mathematics

2 answers:

kompoz [17]3 years ago

6 0

it is 6 because 14 divided by 2 = 7 so 12 divided by 2 = 6

Anna007 [38]3 years ago

3 0

the answer is 6. Because the ratio of 7:14 simplified is 1:2. So all you have to do is divide 12 by 2 and you get your answer, 6.

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X and y are normal random variables with e(x) = 2, v(x) = 5, e(y) = 6, v(y) = 8 and cov(x,y)=2. determine the following: e(3x 2y

andriy [413]

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

<h3>What is normal random variables?</h3>

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

$\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}$

Part b.

Consider V(3X + 2Y)

$\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}$

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

$3 X+2 Y \sim N(18,77)$

Thus,

$P(3 X+2 Y < 18)=0.5$

Part d.

Consider P(3X + 2Y < 28)

$Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}$

$\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}$

Therefore, the values for the given normal random variables are found.

To know more about the normal random variables, here

brainly.com/question/23836881

#SPJ4

The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

8 0

2 years ago

CAN SOMEONE HELP ME PLS!!!!

Anastaziya [24]

Step-by-step explanation:

the two opposites Angles of this quadrilateral are equal, again the angles should sum up to 360

t-9+t-91+t-16+t+25=360

4t=360-101

4t=259

t=64.75

8 0

3 years ago

Draw the line through the point (4,5) that is parallel to the y-axis. Write the equation of this line and state its slope

ollegr [7]

Parallel to the y axis...that would mean that it is a vertical line.
The equation would be : x = 4 and it would have an undefined slope

7 0

3 years ago

Hhhhheeeellllkllllpppp

DerKrebs [107]

-21 is your answer

it is reflected over the x axis, and the point is on 21 no?

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3 years ago

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What is the volume of three cubes with a side length of 1/3 and V=s cubed

anyanavicka [17]

V = S^3

S= 1/3

V = 1/3^3

V = 1/27 cubic unites each

3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total

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3 years ago