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irga5000 [103]
3 years ago
5

Which expressions are equivalent to 4^−2 ⋅7 ^-2?

Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

We can have several equivalents.

It can be 1/784,  28^(-2),  or  1/ (28^2)

Step-by-step explanation:

4^(-2) * 7^(-2) =  (4*7)^(-2) = 28^(-2)

or  1 / (28^2)   is another equivalent.

4^(-2) * 7^(-2) = 28^(-2)

4^(-2) * 7^(-2) = = 1/784

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Which ordered pair is a solution of the equation?
castortr0y [4]

Answer:

d)

true

Step-by-step explanation:

- x - 4y = - 10

x + 4y - 10 = 0

a)

3 + 4×2 - 10 = 0

3 + 8 - 10 = 0

11 - 10 ≠ 0 (false)

b)

- 3 + 4×3 - 10 = 0

12 - 3 - 10 = 0

12 - 13 ≠ 0 (false)

c)

false

d)

true

4 0
2 years ago
A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.
Harrizon [31]

Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

p = \frac{10}{435}

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}

More can be learned about the uniform distribution at brainly.com/question/13889040

#SPJ1

5 0
2 years ago
harmaine spent a total of $20 at the grocery store. Of this amount, $9 she spent on fruit. What percentage of the total did she
zheka24 [161]

Answer:

45%

Step-by-step explanation:

First, let's set up a fraction of how much money she spent for fruit out of the total amount of money she spent.

\frac{9}{20}

For a percentage, we need a fraction out of 100. To do this, we can multiply  the fraction by 5/5 (5*20=100). Notice we can only do this since 5/5 is equivalent to 1, so you are technically multiplying the fraction by 1.

\frac{9}{20}*\frac{5}{5}=\frac{45}{100}

A percentage is just the numerator of a number over 100 therefore it is equal to...

45%

8 0
2 years ago
Which property of real numbers is shown below?<br><br> -6 + 6 = 0
Aneli [31]

Answer:

Additive inverse property

Step-by-step explanation:

When you add opposites you get 0.

Another word for opposites is additive inverses.

This is the additive inverse property.

It says when you do -a+a or a+(-a) you get 0 for any number a.

8 0
3 years ago
Read 2 more answers
Solve this x2 – 8x + 15
STALIN [3.7K]

Answer:

x=5    x=3

Step-by-step explanation:

x^2 – 8x + 15

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5 +-3 = -8

(x-5) (x-3) =0

Using the zero product property

x-5 =0         x-3 =0

x=5                x=3

6 0
3 years ago
Read 2 more answers
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