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brilliants [131]
2 years ago
13

Find the LCM of 6! and (4!)^2

Mathematics
2 answers:
KIM [24]2 years ago
5 0

Answer:

2880

Step-by-step explanation:

!=factorial. Factorial means you are multiplying by a number by the numbers less than it.

so that means 6*5*4*3*2*1=720.

And the factorial of 4 is 4*3*2=24.

24^2=576

So now we have to find the LCM of 576 and 720.

I will use the prime factorization method so the prime factorization of 576 is:

2*2*2*2*2*2*3*3

Prime factorization of 720:

2*2*2*2*3*3*5

So we first we gotta find the GCF, which is 2*2*2*2*3*3 because that is something that they both share in their prime factorizations. So the answer to the GCF is 144.

So now, the numbers that we did not use which is a 2 and another 2 and a 5. So 2*2*5=20

<h3><u>Finally, we have to multiply 20 by the GCF, which is 144, and the answer is 2880. </u></h3>
sergiy2304 [10]2 years ago
4 0

Answer:

it's 12

4, 8, <u><em>12</em></u>

6, <u><em>12</em></u>

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Find the value of p if Cos 49 = Sin(p+10)
timofeeve [1]

Answer:Do you mean find p?  If so then p+10 = 90 - 49, so p = 31°.  Another possibility is in the second quadrant where p + 10 = 180 - 41 so p = 129°  (The 41 comes from the first p+10, i.e. 31+10 = 41),

Check:

Step-by-step explanation:

6 0
3 years ago
I'm randomly selecting my jewelry for today. I have 4 rings, 5 necklaces, 7 pair of earrings, and 8 bracelets. I pick one of eac
Inga [223]

Answer

Step-by-step explanation:

8 0
3 years ago
An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cu
Sholpan [36]

Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

<h3>What are the hypothesis?</h3>
  • At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_0: p \leq 0.5

  • At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_1: p > 0.5

<h3>Test statistic</h3>

The <em>test statistic</em> is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5

The value of the <em>test statistic</em> is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}

z = 3.75

Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is z^{\ast} = 1.645.

Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

To learn more about the z-distribution, you can take a look at brainly.com/question/16313918

3 0
2 years ago
When two dice are rolled, what is the probability the two numbers will have a sum of 10
AlekseyPX

Answer:

The correct answer is option C.  1/12

Step-by-step explanation:

It is given that, two dies are rolled.

The outcomes of tossing two dies are,

(1,1), (1,2), (1,3), (1,4), (15), (1,6)

----- -------- ------ ------ ----- ----

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Number of possible outcomes = 36

<u>To find the probability</u>

The possible outcomes are getting sum 10 which are,

(4,6), (5, 5) and (6,4)

Number of possible outcomes = 3

Therefore probability of getting sum 10 = 3/36 = 1/12

The correct answer is option C.  1/12

5 0
4 years ago
Read 2 more answers
Como le hago si tengo un problema de mate..
monitta

<span>¿Sólo entiendes español o puedo responder en inglés?</span>
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