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Margaret [11]
3 years ago
12

Simplify sqrt 363 -3 sqrt 27

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
If you have 2 of the same factor in a square root you take them out but just write one.

Looking at \sqrt{363}
\sqrt{363} = \sqrt{3*11*11} =11 \sqrt{3}

Looking at 3 \sqrt{27}
3\sqrt{27}=3 \sqrt{3*3*3}  = (3*3)\sqrt{3} =9 \sqrt{3}

Put them back together:
11 \sqrt{3} -9 \sqrt{3} =2 \sqrt{3}
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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
What is the value of this expression when a = 4, b= -5, and c= -7?<br> a + 2bc<br> 3a ?
sladkih [1.3K]

Answer:

1) -66

2)

Step-by-step explanation:

Given:

a=4

b=-5

c=-7

=a+2bc

=4+2*-5*7

=4+(-10*7)

=4-70

=-66

=3a

=3(4)

=12

Hope this helps ;) ❤❤❤

7 0
3 years ago
Read 2 more answers
This is a question on mean and mediator thats due in 15min
luda_lava [24]

Answer:

mean = 15. 14 or 15

median= 14

range = 25

5 0
3 years ago
What is the symbol used to separate the one's place from the tens place in a decimal number
Blizzard [7]
A decimal point. Im guessing you meant to say tenths instead of tens
6 0
3 years ago
Twice a number plus 6 times the number is -72.
katen-ka-za [31]

Answer:

The number is -9

Look at the attachment

7 0
3 years ago
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