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frosja888 [35]
3 years ago
8

Express 56 as the product of its prime factors.

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

2^{3} *7

Step-by-step explanation:

56=2*28

56=2*2*14

56=2*2*2*7

Thus, 56=2^{3}*7

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Suppose that 35 people are divided in a random manner into two teams in such a way that one team contains 10 people and the othe
Effectus [21]

Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798

The probability is 0.5798 or 57.98%.

8 0
2 years ago
3 3/4 x 4<br><br> Help me pas
alexandr1967 [171]
Convert any mixed numbers to fractions.
Then your initial equation becomes:

15
4
×
4
1
Applying the fractions formula for multiplication,

=
15
×
4
4
×
1

=
60
4
Simplifying 60/4, the answer is
15
4 0
2 years ago
Read 2 more answers
The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving th
USPshnik [31]

Answer:

C) There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

Step-by-step explanation:

Let μ be the the average attendance at games of the football team

The claim: the average attendance at games is over 523

Null and alternative hypotheses are:

  • H_{0}: μ=523
  • H_{a}: μ>523

The conclusion is failure to reject the null hypothesis.

This means that <em>test statistic</em> is lower than <em>critical value</em>.  Therefore it is not significant, there is no significant evidence to accept the <em>alternative</em> hypothesis.

That is no significant evidence that the average attendance at games of the football team is greater than 523.

7 0
2 years ago
What is the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) ?
Allisa [31]
<span>Find an equation for the line parallel to 2y+4x = 8 and goes through the point (-3,3). Write your answer in the form y=mx+b.</span>
6 0
3 years ago
Read 2 more answers
What is the measure of each angle?
mariarad [96]
(2x+3)+(x-6)= 180 [straight angle]
2x+x+3-6=180
3x=183
x=61
(All measure in degree)

Hope this can help.
7 0
3 years ago
Read 2 more answers
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