When 12 is divided by which statement about the quotient is true?<br> A

Eight times the sum of a number and -2 is the same as nine times the number. Find the number

Alik [6]

Answer:

$let \: the \: unknown \: number \: be \: x \\ 8 (x + (- 2) = 9 \times x \\ 8 (x - 2) = 9 \times x \\ 8x - 16 = 9x \\ - 16 = 9x - 8x \\ - 16 = x \\ x = - 16$

5 0

3 years ago

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

3 years ago

Read 2 more answers

Pleaseee helppppp!!!

maria [59]

Answer:

Addition property of equality

Step-by-step explanation:

3/4 was added to each side

4 0

3 years ago

May someone help me out with this please

Fiesta28 [93]

First we find the mean (average)
(7 + 8 + 9 + 9 + 10 + 11)/6 = 54/6 = 9

now we subtract the mean from every data number....and square it
7 - 9 = -2...-2^2 = 4
8 - 9 = -1...-1^2 = 1
9 - 9 = 0....0^2 = 0
9 - 9 = 0...0^2 = 0
10 - 9 = 1....1^2 = 1
11 - 9 = 2....2^2 = 4

now we find the mean (average) for those numbers
(4 + 1 + 0 + 0 + 1 + 4) / 6 = 10/6 = 1.67...this is the variance

to find the standard deviation, take the sqrt of the variance
sqrt 1.67 = 1.29 <== ur answer

7 0

3 years ago

Jesse ate 100 donuts in five days. Each day 6 more donuts than the day before. How many donuts did she eat each day?

rusak2 [61]

Answer:

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Step-by-step explanation:

Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before. Let n be the number of donuts she ate on the first day, then she ate...

Day 1: n donuts

Day 2: n + 6 donuts

Day 3: n + 12 donuts

Day 4: n + 18 donuts

Day 5: n + 24 donuts

Add the days together and get the equation...

n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100

Now combine like terms and solve for n...

5n + 60 = 100

5n = 40

n = 8

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

6 0

3 years ago

When 12 is divided by which statement about the quotient is true? A