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Mumz [18]
2 years ago
9

Please show how to get answer for if a bus traveled 315 miles in 9 hours, how far did it travel in 3 hours?

Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0

Answer: Its will be 105

Step-by-step explanation: But this is how you get it 315 divided by 3 = 105 or 9x35=315 divided by 3 =105

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A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8
Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that \mu = 61, \sigma = 8

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

-0.675 = \frac{X - 61}{8}

X - 61 = -0.675*8

X = 55.6

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

2.96 = \frac{X - 61}{8}

X - 61 = 2.96*8

X = 84.68

The minimum score for an A is 84.68.

8 0
3 years ago
Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​
swat32

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

6 0
2 years ago
Read 2 more answers
A computer code is based on the prime factorization of 160.Find the prime factorization of 160
lilavasa [31]
Ndhdjjdjdjshduhdjskakksjdnfbbfbbnfbbbdbdvdbdbbdbdbfhf
8 0
3 years ago
I am in 9th grade,if you have 889,865x999,786 what doe it equal also yes i am not in virtual school and teacher will not let me
RSB [31]

Answer:

889674568890

Step-by-step explanation:

I used a calculator :)

6 0
2 years ago
Evaluate the expression for x = -2, y = 3, z = -4. -4x + 5y + 6z *
babunello [35]

Answer:

-1

Step-by-step explanation:

Plug in given values

-4x + 5y + 6z

-4(-2) + 5(3) + 6(-4)

8 + 15 -24

23-24

-1

6 0
2 years ago
Read 2 more answers
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