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kakasveta [241]
3 years ago
6

Ruben has decided that all even number are composite since they can all be dovided by 2.Is Ruben correct?explain

Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0
Yes. All even numbers are divisible by 2. Every single one of them
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<img src="https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cboxed%7B%7B%5Cgreen%7B1%20%7B%7D%5E%7B2%7D%20%20%2B%203%20%7B%7D%5E%7B2%7D%20%
Mnenie [13.5K]

\huge \boxed{Answer \hookleftarrow}

=》1² + 3²

=》1 + 9

=》10

7 0
3 years ago
Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe
Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

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

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

4 0
2 years ago
Translate to equation<br><br> the product of -11 and the square of a number
Alex Ar [27]

Answer:

11

Step-by-step explanation:

is right?

8 0
3 years ago
Read 2 more answers
Help Please!! I am not sure what to do?
Iteru [2.4K]

Answer:

10 < \sqrt{111} < 11

Step-by-step explanation:

The square root of 111 is approximately 10.536.

A number smaller than this is 10.

A number larger than this is 11.

5 0
3 years ago
Which expression has the same GCF as 15x2 - 21x?
Mice21 [21]

Answer:

15x^2 +21 x

Step-by-step explanation:

We have the following expression:

15x^2 -21 x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

15x^2 +21x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

5 0
3 years ago
Read 2 more answers
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