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yKpoI14uk [10]
3 years ago
6

I need help with this!

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0
The answer is 30 units
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When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a st
MrRa [10]

Answer:

Her commute would be between 32 and 35 minutes 33 times.

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 = 28, \sigma = 4.5

Proportion of days in which the commute is between 32 and 35 minutes:

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 32.

X = 35

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

Z = \frac{35 - 28}{4.5}

Z = 1.555

Z = 1.555 has a pvalue of 0.94.

X = 32

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

Z = \frac{32 - 28}{4.5}

Z = 0.89

Z = 0.89 has a pvalue of 0.8133.

0.94 - 0.8133 = 0.1267

Out of 262 days:

Each day, 0.1267 probability

0.1267*262 = 33

Her commute would be between 32 and 35 minutes 33 times.

6 0
3 years ago
How many multiples of $6$ are between $100$ and $500$?
lapo4ka [179]

ANSWER

65

EXPLANATION

This will form a sequence with first term:

a_{1} = 102

with constant difference d=6 and last term

l = 486

The last term is a term in the sequence, therefore;

l=a_1+d(n-1)

486=102+6(n-1)

486 - 102 = 6(n-1)

Simplify the LHS

384= 6(n-1)

Divide both sides by 6.

64=n-1

64 + 1 = n

Therefore

n = 65

Hence there are 65 multiples of 6.

7 0
3 years ago
Read 2 more answers
HELP ASAP AND GETS SOME POINTS AND BRAINLEST!!!!
guajiro [1.7K]

Answer:

9x² + 28x - 32

Step-by-step explanation:

Given

(9x - 8)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

9x(x + 4) - 8(x + 4) ← distribute both parenthesis

= 9x² + 36x - 8x - 32 ← collect like terms

= 9x² + 28x - 32

4 0
3 years ago
Read 2 more answers
HELP meeeeeeeeee pwease :'(<br><br> BRAINLIEST
Mazyrski [523]
Vas happenin!!!

I think it’s C

Hope this helps

-Zayn Malik
7 0
2 years ago
Read 2 more answers
I’m not sure which one it is.
Fofino [41]

Answer: the answer is A) AC~=FC

Step-by-step explanation:

to answer that both triangles are congruent using SSS (Side-side-side) postulate, you have to show that each corresponding side is the same.

4 0
2 years ago
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