Kim rolls two six-sided number cubes. What is the probability that the sum of the two cubes will be 8?

I need a answer soon please

Ray Of Light [21]

Total number of coins is: 16 + 28 + 32 +4 = 80 coins

He sold 15% of them. "of" means multiply.

80 x 15% is the same as 80 x .15

80 x .15 = 12

He sold 12 coins

8 0

3 years ago

Read 2 more answers

For the function f (x) = 3 (x + 7), find -1().

AlekseyPX

Given:

The function is $f(x)=3(x+7)^{\frac{1}{4}}$ .

To find:

The function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=3(x+7)^{\frac{1}{4}}$

Substitute f(x)=y.

$y=3(x+7)^{\frac{1}{4}}$

Interchange x and y.

$x=3(y+7)^{\frac{1}{4}}$

Divide both sides by 3.

$\dfrac{x}{3}=(y+7)^{\frac{1}{4}}$

Taking power 4 on both sides.

$\left(\dfrac{x}{3}\right)^4=y+7$

Subtract 7 from both sides.

$\left(\dfrac{x}{3}\right)^4-7=y$

$y=\left(\dfrac{x}{3}\right)^4-7$

Substitute $y=f^{-1}(x)$ .

$f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7$

Therefore, the correct option is C.

5 0

3 years ago

Exhibit B In order to determine whether or not there is a significant difference between the hourly wages of two companies, two

ser-zykov [4K]

Answer: c. 3.01

Step-by-step explanation:

The test statistic for difference between two population mean (when population standard deviation is known) is given by :

$z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}$

, where $n_1$ = Size of first sample

$n_2$ = Size of second sample

$\overline{x}_1-\overline{x}_2$ = Difference between two sample mean.

$\sigma_1$ = standard deviation for population 1.

$\sigma_2$ = standard deviation for population 2.

As per given , we have

$n_1=80$

$n_2=60$

$\overline{x}_1=\$6.75$

$\overline{x}_2=\$6.25$

$\sigma_1=\$1$

$\sigma_2=\$0.95$

Substitute these values in formula , we get

$z=\dfrac{6.75-6.25}{\sqrt{\dfrac{(1)^2}{80}+\dfrac{(0.95)^2}{60}}}$

$z=\dfrac{0.50}{\sqrt{0.0275416666667}}$

$z=\dfrac{0.50}{0.165956821694}$

$z=3.0128318613\approx3.01$

Hence, the value of the test statistic is <u>3.01</u>.

Hence, the correct option is c. 3.01 .

7 0

3 years ago

A family has annual loan payments equal to 30% of their annual income. During the year, their loan payments total $15,680. What

soldier1979 [14.2K]

First, set up a ratio: $\frac{30}{100} = \frac{15,680}{x}$
The first fraction is the percentage (30% and $\frac{30}{100}$ are the same thing) and the second is the loan payment (which is equal to the 30 in the first fraction) over their annual income ( $x$ ).
First you divide $15,680 by 30, then multiply that quantity by 100. The value calculated then replaces $x$ in your second fraction: $\frac{30}{100} = \frac{15,680}{52,266.67}$

7 0

4 years ago

describe how you might pick a sample of 50 minivan owners that represent the minivan owners of your state

MrRa [10]

You can advertise that you need a sample of 50 minivan owners, and use them as a representative of the state. But this is biased and has some inaccuracy.

3 0

4 years ago