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yulyashka [42]
3 years ago
7

1) Is 26,341 divisible by 3? If it is, write the number as the product of 3 and another factor. If not, explain.

Mathematics
1 answer:
yan [13]3 years ago
8 0

Answer:

No

Step-by-step explanation:

26341 ÷ 3 = 8780.333333

because the product has a decimal of 8780 recurring 3, therefore 26341 is not divisible by 3

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Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose al
wariber [46]

Answer: Choise A and Choise B.

Step-by-step explanation:

Given the following expression:

3x+3(x+y)

You can simplify it in order to find equivalent expressions.

Appying the Distributive Property, you get:

3x+(3)(x)+(y)(3)=3x+3x+3y

So:

1. If you add the like terms, you get this equivalent expression:

3x+3x+3y=6x+3y

2. But if you factor out 3, you get the following equivalent expression:

3x+3x+3y=3(x+x+y)

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression 3x+3(x+y)

6 0
3 years ago
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Which operation transformed matrix I to matrix ll?
quester [9]

Answer:

D

Step-by-step explanation:

I took the test

6 0
2 years ago
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr
bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that \mu = 109, \sigma = 12

Sample of 25.

This means that n = 25, s = \frac{12}{\sqrt{25}} = 2.4

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{112 - 109}{2.4}

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0
3 years ago
What is the initial value of the function:<br> f(x)=3/2(2)^x
Marina CMI [18]

Answer:

the initial value -- f(0) -- results in a value of 1.5

Step-by-step explanation:

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f(0) = \frac{3}{2} · 1

f(0) = 3/2 or 1.5

7 0
2 years ago
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(x+2)(x+6)=0
Mkey [24]

Here ya go.

Answer in picture

6 0
2 years ago
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