MATHEMATICS HIGH SCHOOL

A 3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sides of a randomly selected cube?

Answers

Answer 1

Answer:

Answer:

8 cubes are painted on 3 sides

24 cubes are painted on 2 sides

22 cubes are painted on 1 sides

6 cubes are painted on 0 side

E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567

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Solve −2x − 13 = 8x + 7. (1 point)

−2
2
−6
6

Answers

To solve for the value of x, it is easiest by isolating "x" to one side of the equation. This method is shown below:

-2x - 13 = 8x + 7

Adding 2x to both sides:

-2x - 13 + 2x = 8x + 7 + 2x
-13 = 10x +7

Subtracting 7 from both sides:

-13 - 7 = 10x + 7 - 7
10x = -20

Dividing both sides by 10:

10x / 10 = -20 / 10
x = -2

solve:
-2x-13=8x+7
-2x-8x=7+13
-10x=20
-x=20/10
-x=2
x= -2
THE ANSWER IS -2

What is the digit in the thousandths in the number 35.847

Answers

Answer:

Step-by-step explanation:

7 is three places to the right of the decimal point, and therefore the thousandths place

After the decimal place, this is how the order goes:

tenths, hundredths, thousandths

Take the number 1.234

1.(2)34 tenths place

1.2(3)4 hundredths place

1.23(4) thousandths place

2 is in the tenths place

3 is in the hundredths place

4 is in the thousandths place

Good luck :)

(Sorry for the first answer I gave, I didn't read that clearly...)

Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.

Answers

angle1 + angle2 = 180°(because they are a linear pair)
or, (x-36) + (x+84) = 180
or, x - 36 + x + 84 = 180
or, 2x + 48 = 180
or, 2x = 180 - 48
or, 2x = 132
or, x = 132/2
therefore, x = 66
angle1 = (x - 36) = 66-36 = 30°
angle2 = (x+84) = 66+ 84 =150°

linear pair means supplementary so
x-36+x+84=180
2x+48=180
2x=132
x=66
Therefore angle 1 is 30 while angle 2 is 150

What is the inverse of f(x)=1/5x+3/5

Answers

Answer:

f^-1(x) = 1/(5x - 3) (See explanation for alternate answer)

Step-by-step explanation:

Assuming you meant f(x) = 1/(5x) + 3/5

y = 1/(5x) + 3/5

(I like to substitute x and y early on)

x = 1/(5y) + 3/5

5x = 1/y + 3

1/y = 5x - 3

f^-1(x) = 1/(5x - 3)

Assuming you meant f(x) = 1x/5 + 3/5

y = 1x/5 + 3/5

x = 1y/5 + 3/5

5x = y + 3

f^-1(x) = 5x - 3

Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded. What statement about the two plots’ distributions is true? A. The degree of overlap between the two distributions is high. B. The degree of overlap between the two distributions is moderate. C. The degree of overlap between the two distributions is low. D. There is no overlap between the two distributions.

Answers

The solution is : C. The degree of overlap between the two distributions is low.

What is distributions?

Distribution is the process of making a product or service available for the consumer or business user who needs it, and a distributor is a business involved in the distribution stage of the value chain.

here, we have,

Overlapping can be defined as the intersection between areas of two normal distributions.

The overlap means that sample or populations have similarities, which occasionate this behaviour.

In this case, we have two normal distributions (you can deduct that observing the bell form).

If you look closely, you'll observe that the tails of theses distributions overlap, but just the tail, that means they have a low degree of similarity.

Therefore, the right answer is C, the degree of overlap is low.

To learn more on distribution click:

brainly.com/question/3159933

#SPJ3

do you need a explanation of your answer if not i do believe its B

One of the community service groups is going to plant a garden. 2/3 of the space will be used for vegetables. 1/4 of the vegetable space will be used for tomatos. what fraction of the garden will be used for tomatoes? draw a picture below.

Answers

Answer:

1/6 of the vegetables space will be used for the tomatoes

Answer:

1/12 of the Garden

Step-by-step explanation:

When adding fractions, the denominators need to be the exact same number. Therefore, you need to find the LCM. The LCM of 3 and 4 is 12, so all the denominators will be 12.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

8/12 + 3/12 = 11/12

Now you need to subtract it from 1 (the garden).

12/12 - 11/12 = 1/12

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