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3 years ago

Solve the equation by showing the work X/3 -6 = -2

Mathematics

2 answers:

OlgaM077 [116]3 years ago

5 0

The answer to x is 20

zavuch27 [327]3 years ago

4 0

Answer:

X is negative 5/ -5

Step-by-step explanation:

You might be interested in

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

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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

1 year ago

Solve for b: A= (h(a+b))/2

tresset_1 [31]

A= (h(a+b))/2

multiply each side by 2

2A = (h(a+b))

divide each side by h

2A/h = a+b

subtract a from each side

2A/h -a = b

6 0

3 years ago

About how far does the S wave travel through Earth in 13 minutes?

bija089 [108]

Answer:

C. 6,000 km

Step-by-step explanation:

v = speed at S-wave travel through the earth = 8 km/sec

t = time of travel for the S-wave through the earth = 13 minutes = 13 x 60 seconds = 780 seconds (Since 1 minute = 60 seconds)

d = distance traveled by S-wave in the given time interval

Distance traveled by S-wave in the given time interval is given as

d = v t

inserting the above values in the formula

d = (8 km/sec) (780 sec)

d = 6240 km

the closest choice is 6000 km at option C

So Option C

3 0

3 years ago

Read 2 more answers

write a quadratic function that has a graph that contains the following points, (-2, 0), (4, -12), (5,0).

ankoles [38]

Answer:

f(x) = 2x^2 - 6x - 20.

Step-by-step explanation:

(-2, 0) and (5, 0) are 2 zeroes of the function so we can write the function as

f(x) = a(x + 2)(x - 5) where a is a constant.

Now as (4, -12) is a point on the graph:

-12 = a(4 + 2)(4 - 5)

-12 = a * 6 * -1

-6a = -12

a = 2.

So f(x) = 2(x + 2)(x - 5)

f(x) = 2x^2 - 6x - 20.

4 0

3 years ago

Julie brought 24 apples to school to share with her classmates. Of those apples, 2/3 are red, and the rest are green. Julie’s cl

Ratling [72]

Answer:

from the given info

you can know that there were 16 red ones. (2/3)*24

and 8 green apples

and her classmates ate 3/4 of red ones i.e.

(3/4)*16

=12

and 1/2od green

i.e.

(1/2)*8

and now the total eaten apples

= 12+4

=16

and the remaining number are

24-16

3 0

3 years ago