Which of the following statements correctly uses the distributive property?

Mathematics

1 answer:

Softa [21]2 years ago

6 0

Step-by-step explanation:

9(-7 + 6) = 9(-7) + 9(6)

Hope it help !

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Find two consecutive odd integers such that 32 more than the lesser is three times the greater

Maslowich

Answer:

First odd number = 13

Second odd number = 15

Step-by-step explanation:

Let

First odd number = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33 (sign of transferred terms will be changed)

-4x = -24

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number = 2x + 1 = 2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

4 0

3 years ago

The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp

Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .