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3 years ago

Select the correct answer.

Mathematics

1 answer:

Marat540 [252]3 years ago

5 0

I just did it it’s 212

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One edge of a cube measures 5.4 meters. What is the volume of the cube?

matrenka [14]

157.464m^3

This is because using the formula, a^3, you get 5.4^3 which equals 157.464.

5 0

4 years ago

A probability experiment is conducted in which the sample space of the experiment is S 1,2,3,4, 5,6,7,8, 9, 10, 11, 12]. Let eve

Alenkinab [10]

Answer:

$E\ n\ F = \{1, 5, 6,7\}$

$F\ n\ G =\{9\}$

$F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}$

$P(F\ U\ G) = \frac{3}{4}$

Step-by-step explanation:

Given

$S = \{1,2,3,4, 5,6,7,8, 9, 10, 11, 12\}$

$E = \{1,2, 3, 4, 5, 6,7\}$

$F =\{1,5,6, 7, 8,9\}$

$G = \{9,10, 11, 12\}$

$H = \{2, 3, 4\}$

Solving (5): E and F

Sets of E and F = E n F

$E\ n\ F = \{1,2, 3, 4, 5, 6,7\}\ n\ \{1,5,6, 7, 8,9\}$

List out common elements

$E\ n\ F = \{1, 5, 6,7\}$

They are not mutually exclusive because $n(E\ n\ F) \neq 0$

Solving (6): F and G

Sets of F and G = F n G

$F\ n\ G =\{1,5,6, 7, 8,9\}\ n\ \{9,10, 11, 12\}$

List out common elements

$F\ n\ G =\{9\}$

They are not mutually exclusive because $n(F\ n\ G) \neq 0$

Solving (7): F or G and P(F or G)

Sets of F or G = F U G

$F\ U\ G =\{1,5,6, 7, 8,9\}\ U\ \{9,10, 11, 12\}$

List all elements without repetition

$F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}$

Solving P(F U G)

$P(F\ U\ G) = \frac{n(F\ U\ G)}{n(S)}$

$n(F\ U\ G) = 9$

$n(S) = 12$

Hence;

$P(F\ U\ G) = \frac{9}{12}$

Divide by 3

$P(F\ U\ G) = \frac{3}{4}$

6 0

3 years ago

What is the y-intercept of each graph? Explain.

Hunter-Best [27]

The y intercept of the left graph is 2 and the y intercept for the right graph is -0.5. These are the points where the line cross the y-axis (the vertical axis)

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3 years ago

Rodolfo has 15 toys in a toy box, and he adds 2 new toys every month. Based on this information , which representation best show

Pachacha [2.7K]

They told me to answer a bunch of questions best of luck tho

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2 years ago

Read 2 more answers

Lenny bought a motorcycle. he paid 12.5% in tax. the tax added $1437.50 to the price of the motorcycle. what was the price of th

Lyrx [107]

In order to calculate the initial price of the motorcycle, we use the formula:
Total item price=(Item price*tax rate)+item price.
Rearranging the equation to solve for the unknown:
Item price=total item price/Tax rate.
Substituting the real values into the formula:
Item cost=1,437/12.5%. The result of this equation determines that the original price of the motorcycle (not including tax) is:
$11,496-$1,437=$10,059

6 0

3 years ago