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seropon [69]
3 years ago
15

Tasha believes that she can rewrite the diffrence 120 - 36 as a product of the GCF of the two numbers and another diffrence.Is s

he correct?

Mathematics
1 answer:
baherus [9]3 years ago
8 0
She is correct.
120-36=84=2^2*3*7
The key is to notice that if the two numbers are a and b, then gcf(a,b) | a-b ---> this means that the greatest common factor of a and b divides their difference. Also,    a-b> gcf(a,b)
So, the only case to consider is if gcf(a,b)=2 and a-b=42.
This is clearly possible to find 2 such numbers a,b (one example would be 62 and 20).
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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes
mixer [17]

Answer:

0.02275

Step-by-step explanation:

We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.

We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.  

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

z=\frac{60-80}{10}

z=\frac{-20}{10}

z=-2

Now, we will use normal distribution table to find area under z-score of -2 as:

P(z< -2)

P(z< -2)=0.02275

Therefore, the probability of completing the exam in one hour or less is 0.02275.

7 0
3 years ago
Tell whether the square root of .25 is rational or irrational. Explain.
artcher [175]
The square root of .25 is rational because it is a terminating decimal.
√(.25)=05
8 0
3 years ago
Find the measure Of PR
Misha Larkins [42]

Answer:

18

Step-by-step explanation:

The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.

3 0
2 years ago
Eloise is planning on retiring soon. When she first began working she invested $1500 in a retirement fund. The percent increase
cupoosta [38]
$2925 she would have left in her account :)
6 0
2 years ago
Read 2 more answers
Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point.
andriy [413]

Answer:

A and B

Step-by-step explanation:

Parallel lines are lines which have the same slope. Perpendicular lines have negative reciprocal slopes.

For the options:

A. Both equations have 7/5 as the slope. They are parallel.

B. The slopes are 1 and -1. These are perpendicular.

C. The slopes are 9/2 and are parallel.

D. The slopes are 7/3 and -3/7. They are perpendicular.

The solution is A and B.

7 0
2 years ago
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