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serg [7]
3 years ago
9

Simplify each expression 2x+5y+7x=

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0
You add 2x and 7x to get 9x
so the answer is 9x+5y
You might be interested in
Let
Digiron [165]

What I gather from the question is that X has second moment E(X^2)=81 and variance V(X) = 58, and you're asked to find the expectation and variance of the random variable Y=2X+10.

From the given second moment and variance, we find the expectation of X :

V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}

Expectation is linear, so

E(Y) = E(2X+10) = 2 E(X) + 10 = \boxed{2\sqrt{23} + 10}

Using the same variance identity, we have

V(Y) = V(2X+10) = E((2X+10)^2) - E(2X+10)^2

and

E((2X+10)^2) = E(4X^2 + 40X + 100) = 4E(X^2) + 40E(X) + 100 = 424 + 40\sqrt{23}

so that

V(Y) = V(2X+10) = (424 + 40\sqrt{23}) - (2\sqrt{23} + 10)^2 = \boxed{232}

Alternatively, we can use the identity

V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232

5 0
2 years ago
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be the
4vir4ik [10]
Answer is x+75

Basically $75
3 0
3 years ago
a twelve sided die with side labeled 1-12 will be rolled once. What is the probability of rolling a number less than 9?
puteri [66]
12 possible outcomes
any number less than 9 is 8 and below
8 sides of the dice are less than 9 out of 12 total sides
8/12 is the chance you’ll roll lower than 9

2/3 or 66% chance you’ll roll a number lower than 9
7 0
1 year ago
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Harman [31]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

7 0
3 years ago
What is the answer to this question?
Degger [83]

Answer:

y = -\frac{19}{9}x + \frac{5}{3}

Step-by-step explanation:

Given:

19x + 9y = 15

Required:

Rewrite in slope-intercept form, y = mx + b

SOLUTION:

19x + 9y = 15

Subtract 19x from both sides

9y = -19x + 15

Divide both sides by 9

y = -19x/9 + 15/9

y = -\frac{19}{9}x + \frac{5}{3}

5 0
3 years ago
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