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3 years ago

Find P(blue and even). A. 3/5 B. 1/10 c. 7/10

Mathematics

1 answer:

mamaluj [8]3 years ago

3 0

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

There are in total <u>10 </u>blocks
There are in total <u>2 blue</u> blocks
There are in total <u>5 even</u> blocks

Blue blocks: 1, <u>2</u>

Even blocks: <u>2</u>, 4, 6, 8, 10

The net total of blue and even blocks:

2 + 5 = 7 blocks

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

7 - 1 = 6 blocks

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

6/10 = 3/5

Hope this helps!! :)

Please let me know if you have any questions

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3^-6 x (3^4 / 3^0)^2

inna [77]

Answer:

9 x

Step-by-step explanation:

Simplify the following:

((3^4/3^0)^2 x)/(3^6)

Hint: | Compute 3^6 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

3^6 = (3^3)^2 = (3×3^2)^2:

((3^4/3^0)^2 x)/((3×3^2)^2)

Hint: | Evaluate 3^2.

3^2 = 9:

((3^4/3^0)^2 x)/((3×9)^2)

Hint: | Multiply 3 and 9 together.

3×9 = 27:

((3^4/3^0)^2 x)/(27^2)

Hint: | Evaluate 27^2.

| 2 | 7

× | 2 | 7

1 | 8 | 9

5 | 4 | 0

7 | 2 | 9:

((3^4/3^0)^2 x)/729

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 3^4/3^0.

Combine powers. 3^4/3^0 = 3^(4 + 0):

((3^4)^2 x)/729

Hint: | For all positive integer exponents (a^n)^m = a^(n m). Apply this to (3^4)^2.

Multiply exponents. (3^4)^2 = 3^(4×2):

(3^(4×2) x)/729

Hint: | Multiply 4 and 2 together.

4×2 = 8:

(3^8 x)/729

Hint: | Compute 3^8 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

3^8 = (3^4)^2 = ((3^2)^2)^2:

(((3^2)^2)^2 x)/729

Hint: | Evaluate 3^2.

3^2 = 9:

((9^2)^2 x)/729

Hint: | Evaluate 9^2.

9^2 = 81:

(81^2 x)/729

Hint: | Evaluate 81^2.

| | 8 | 1

× | | 8 | 1

| | 8 | 1

6 | 4 | 8 | 0

6 | 5 | 6 | 1:

(6561 x)/729

Hint: | In (x×6561)/729, divide 6561 in the numerator by 729 in the denominator.

6561/729 = (729×9)/729 = 9:

Answer: 9 x

3 0

4 years ago

Read 2 more answers

Write y=-5x^2+15 in vertex form

GaryK [48]

In vertex form it will look like this

y = −5 (x+0) 2 + 15

4 0

3 years ago

10 - 3 (z - 2) = 5z + 7

Alla [95]

Answer:

= 9/8

That's the answer

7 0

3 years ago

Read 2 more answers

A 40 foot long wire stretches from the top of a vertical pole to a stake in the ground 18 feet from the foot of the pole. find,

Agata [3.3K]

The measure of the acute angle that the wire makes with the ground is 63.27°.

The situation forms a right angle triangle.

<h3>How to find the angle of a right triangle?</h3>

The length of the wire is the hypotenuse of the right triangle.

The distance from the foot of the pole is the adjacent side of the right triangle.

Therefore,

cos ∅ = adjacent / hypotenuse

cos ∅ = 18 / 40

cos ∅ = 0.45

∅ = cos⁻¹ 0.45

∅ = 63.2563160496

∅ = 63.27°

learn more on right angle triangle here: brainly.com/question/14866099

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2 years ago

The side length, s, of a cube is 4x2 3. if v = s3, what is the volume of the cube? 64x6 144x4 108x2 27 64x6 48x4 12x2 1 4x6 36x4

sdas [7]

The volume of the cube given the dimensions of the side length is $64x^{6} + 144x^{4} + 108x^{2} + 27$

<h3>What is the volume of the cube?</h3>

A cube is a 3-dimensional object that has six faces, twelve edges and eight vertices.

Volume of a cube = a³

Where a = length of a side

(4x² + 3) × (4x² + 3) = 16x^4 + 24x² + 9

(16x^4 + 24x² + 9) × (4x² + 3) = $64x^{6} + 144x^{4} + 108x^{2} + 27$

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2 years ago