-5x + 11 __) Please show your work!

I need to fill in the blanks for this equation and I cant figure it out

Alex17521 [72]

Answer:

1. +12x and 15

2. 14x

3. 2

Step-by-step explanation:

Step 1: Distribute -3

To distribute -3, you would multiply both -4x and -5 by -3, changing them to 12x and 15

Step 2: Combine 12x and 2x

Then you would combine like terms, meaning that you would add 12x and 2x, creating 14x.

Step 3: Combine 15 and -13

You would finish combining like terms by adding 15 to -13, creating 2

8 0

3 years ago

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

4 years ago

Read 2 more answers

The average allowsnce money of Ernest jack David and mike is 123 per month per person. The average allowance of Ernest jack and

Evgesh-ka [11]

Answer:

Ernest gets 194 monthly allowance

Step-by-step explanation:

* Lets revise the rule of the average

- Average = The sum ÷ the total number

- Assume that the allowances money of Ernest, Jack, David and Mike

are E, J, D, M respectively

∵ The average allowance money of Ernest jack David and mike is

123 per month per person

∴ 123 = (E + J + D + M) ÷ 4

- Multiply both sides by 4

∴ E + J + D + M = 492 ⇒ (1)

∵ The average allowance of Ernest jack and David is 159 per month

per person

∴ 159 = (E + J + D) ÷ 3

- Multiply both sides by 3

∴ E + J + D = 477 ⇒ (2)

- Subtract equation(2) from equation (1) to find M

∴ M = 15

* Mike's monthly allowance is 15

∵ David's monthly allowance is 2 less than mikes

∴ D = M - 2

∵ M = 15

∴ D = 15 - 2 = 13

∴ David's monthly allowance is 13

∵ Mikes monthly allowance is 1/18 of jacks

∴ M = $\frac{1}{18}$ × J

∴ 15 = $\frac{1}{18}$ × J

- Multiply both sides by 18

∴ J = 270

* Jack's monthly allowance is 270

- Substitute the values of D , J in equation (2) to find E

∵ D = 13 and J = 270

∵ E + J + D = 477

∴ E + 270 + 13 = 477

∴ E + 283 = 477

- Subtract 283 from both sides

∴ E = 194

* Ernest's monthly allowance is 194

* Ernest gets 194 monthly allowance

4 0

3 years ago

Jon caught four fish that weighed a total of 252 pounds.The kingfish weighed twice as much as the amberjack and the white marlin

fenix001 [56]

1 Amberjack
Kingfish equals 2 Amberjacks
Marlin equals 2 Kingfish or 4 Amberjacks
Tarpon equals 5 AmberJacks

So:
1A plus 2A plus 4A plus 5A equals the 252.
(where A is weight of the AmberJack).

Therefore:
12A equals 252, and A is 21. (252/12 = 21)

Then:
The Amberjack is 21Ibs.
The Kingfish (twice as much as A) is 42Ibs.
The Marlin (four times A) is 84Ibs.
And the Tarpon (five times A) is 105Ibs.

To Check:
21 + 42 + 84 + 105 = 252

8 0

4 years ago

Read 2 more answers

What is the radius of a circle if it’s center is (1,2) and one point on the circle is (1,6)?

dem82 [27]

because the x values are identical the radius would be found by subtracting the y values.

6-2 = 4

the radius is 4

3 0

2 years ago