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2 years ago

Match each whole number with a rational, exponential expression. 1. 512 2. 8 3. 343 4. 216 5. 729 6.

Mathematics

1 answer:

Crazy boy [7]2 years ago

6 0

Answer:

1. 2^9 = 512

2. 2^3 = 8

3. 7^3 = 343

4. 6^3 = 216

5. 3^6 = 729

Step-by-step explanation:

To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

2^9 = 512

2 x 2 x 2 = 8

2^3 = 8

7 x 7 x 7 = 343

7^3 = 343

6 x 6 x 6 = 216

6^3 = 216

3 x 3 x 3 x 3 x 3 x 3 = 729

3^6 = 729

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In a reliability test there is a 42% probability that a computer chip survives more than 500 temperature cycles. If a computer c

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Answer:

The probability is $P(B' n A ' ) =$ 16%

Step-by-step explanation:

From the question we are told that

A is the event that the chip was "made by company A"

B is the event that a chip "survives 500 temperature cycles"

The probability that a computer chip survives more than 500 temperature cycles is

$P(B) = 42$ % $= 0.42$

The probability that does not survive more than 500 temperature cycles and it was manufactured by company A is $P(A | B' ) = 0.73$

The probability that the computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as

$P(B' n A ' ) = P (B' | A' ) P(B ')$

Where $B' \ and \ A'$ are a A and B complements and | represented AND operator

$P(B' n A ' ) = [1 - P (B' | A )] [1 - P(B )]$

substituting values

$P(B' n A ' ) = [1 - 0.73] [1 - 0.42 ]$

$P(B' n A ' ) = (0.27 )(0.58)$

$P(B' n A ' ) =0.16$

$P(B' n A ' ) =$ 16%

7 0

2 years ago

Jamey took a picture to use as a logo for his company. The picture is 24 in. wide × 36 in. high. The logo is 6 in. wide.

ikadub [295]

I believe it would be 9 inches in height.
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2 years ago

How do I round off to the nearest decimal place

Marrrta [24]

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For example: round 1.86 to the nearest tenth
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2 years ago

A scientist calculated the mean and standard deviation of a data set to be = 120 and 0-9. She then found that she was

Lapatulllka [165]

Answer:

The awnser on edge is C)147

Step-by-step explanation:

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2 years ago

The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?

Komok [63]

The equation that must be true regarding the function is a. f(–3) = –5

<h3>How to explain the information?</h3>

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

c. f(–5) = –3

d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

Therefore the correct answer is f(-3)=-5.

Learn more about equation on:

brainly.com/question/2972832

#SPJ1

7 0

1 year ago