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yawa3891 [41]
3 years ago
9

how.can you write the prime factorization and find the greatest common factor and the least common multiple of two numbers​

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

Step-by-step explanation: you just need to find the greatest factors and least multiple then do it to two numbers

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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.
sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Irving can I remember the correct order of the five digits on his ID number he does remember that the ID number contains the dig
Cloud [144]

Answer: \frac{27}{125}

Step-by-step explanation:

Here the total numbers are 1,  4,  3,  7,  6

Since the total number of possible arrangement = 5\times 5 \times5 \times 5 \times 5=5^5

The total number of the odd numbers in the given numbers = 3

Thus the possible arrangement that the first three digits will be odd numbers = 3\times 3\times 3\times 5\times 5=3^3\times 5^2

Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement =  \frac{3^3\times 5^2}{5^5} = \frac{3^2}{5^{5-2}}

= \frac{3^3}{5^3} = \frac{27}{125}

5 0
3 years ago
What is 2+2×2 ? it is little test for your math skills :)​
mr_godi [17]

Answer:

8

Step-by-step explanation:

2+2=4

4*2=8

DONE!!!!!!

8 0
3 years ago
In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?<br>​
ikadub [295]

Answer:

An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being  produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.

They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.

4 0
2 years ago
Find f(x) if it is known that f(3k)=3k+7.
SVETLANKA909090 [29]
F(3k)=3k +7   Equals    9k+7.  So 9k+7 would be the Answer.
4 0
3 years ago
Read 2 more answers
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