MATHEMATICS COLLEGE

If 12 gallons of water are divided evenly into 7
buckets, how much will be in each bucket?

Answers

Answer 1
Answer: 1.71 is your answer hope this helps

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Two out of every five people who buy ice cream buys vanilla ice cream. If a store sells 65ice cream cones in one day, about how many will be vanilla?

Answers

26 cause 2/5 equals 40% and 40% of 65 is 26

In determining automobile-mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 33 mpg and a standard deviation of 1.7 mpg. Find the following:__________. a. P(X<30)
b. P(28c. P(X>35)
d. P(X>31)
e. the mileage rating that the upper 5% of cars achieve.

Answers

The upper 5% of cars have a mileage rating of 35.805 mpg

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given;  mean of 33 mpg and a standard deviation of 1.7

a) For < 30:

z = (30 - 33)/1.7 = -1.76

P(x < 30) = P(z < -1.76) = 1 - 0.8413 = 0.0392

b) For < 28:

z = (28 - 33)/1.7 = -2.94

P(x < 28) = P(z < -2.94) = 0.0016

c) For > 35:

z = (35 - 33)/1.7 = 1.18

P(x > 35) = P(z > 1.18) = 1 - P(z < 1.18) = 1 - 0.8810 = 0.119

d) For > 31:

z = (31 - 33)/1.7 = -1.18

P(x > 31) = P(z > -1.18) = 1 - P(z < -1.18) = 0.8810

e) The  upper 5% of cars achieve have a z score of 1.65, hence:

1.65 = (x - 33)/1.7

x = 35.805 mpg

The upper 5% of cars have a mileage rating of 35.805 mpg

Find out more on z score at: brainly.com/question/25638875

Answer:

a) P(X < 30) = 0.0392.

b) P(28 < X < 32) = 0.2760

c) P(X > 35) = 0.1190

d) P(X > 31) = 0.8810

e) At least 35.7965 mpg

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 = (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 question, we have that:

\mu = 33, \sigma = 1.7

a. P(X<30)

This is the pvalue of Z when X = 30. So

Z = (X - \mu)/(\sigma)

Z = (30 - 33)/(1.7)

Z = -1.76

Z = -1.76 has a pvalue of 0.0392.

Then

P(X < 30) = 0.0392.

b) P(28 < X < 32)

This is the pvalue of Z when X = 32 subtracted by the pvalue of Z when X = 28. So

X = 32

Z = (X - \mu)/(\sigma)

Z = (32 - 33)/(1.7)

Z = -0.59

Z = -0.59 has a pvalue of 0.2776.

X = 28

Z = (X - \mu)/(\sigma)

Z = (28 - 33)/(1.7)

Z = -2.94

Z = -2.94 has a pvalue of 0.0016.

0.2776 - 0.0016 = 0.2760.

So

P(28 < X < 32) = 0.2760

c) P(X>35)

This is 1 subtracted by the pvalue of Z when X = 35. So

Z = (X - \mu)/(\sigma)

Z = (35 - 33)/(1.7)

Z = 1.18

Z = 1.18 has a pvalue of 0.8810.

1 - 0.8810 = 0.1190

So

P(X > 35) = 0.1190

d. P(X>31)

This is 1 subtracted by the pvalue of Z when X = 31. So

Z = (X - \mu)/(\sigma)

Z = (31 - 33)/(1.7)

Z = -1.18

Z = -1.18 has a pvalue of 0.1190.

1 - 0.1190 = 0.8810

So

P(X > 31) = 0.8810

e. the mileage rating that the upper 5% of cars achieve.

At least the 95th percentile.

The 95th percentile is X when Z has a pvalue of 0.95. So it is X when Z = 1.645. Then

Z = (X - \mu)/(\sigma)

1.645 = (X - 33)/(1.7)

X - 33 = 1.645*1.7

X = 35.7965

At least 35.7965 mpg

Find the number: 3/5of the number 33

Answers

Answer:

19.8 or 19 4/5

Step-by-step explanation:

Step 1: Set up the expression.

  • (3)/(5) * 33

Step 2: Simplify.

  • (3)/(5)*33 = (99)/(5)
  • (99)/(5) = 19(4)/(5) = 19.8

Therefore, the answer is 19.8 or 19 4/5.

What is the result when the number 42 is decreased by 50%?

Answers

Answer:

21 i think ;-; b. v.

Step-by-step explanation:

hyf6ygtuygfyjbfryjjhggyujhgrt

7. Write the slope-intercept form of the equation of the line.
slope = -5 , y - int = -1

Answers

Answer:

Y=-1/5x-1

Step-by-step explanation:

Combine the slope then the slope intercept.

(12pts) Inequalities please help me !?

Answers

The correct answer would be C, or x > -2.

Because the line is going up from -2, we know that x is going to be greater than 2 for a fact.

We can tell that it wont be greater than or equal to because the circle is clear and not filled.

Thus, C is the correct answer.
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