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2 years ago

A plumber had a pipe that was 2 yards long he cut 18 inches off the end of the pipe

1 answer:

7 0

To convert yards to feet, you would multiply it by 3. So, since there the pipe is 2 yards long, you could multiply 2*3 to get 6 feet. Then you can convert feet to inches by multiplying it by 12. 6*12 is equal to 72, so 2 yards is equal to 72 inches. Lastly, you can subtract 18 from 72, to get 54, and 54 inches would be your final answer.

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

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 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

2 years ago

Which value of x makes this equation true?

sergejj [24]

Answer:

x=-5

Step-by-step explanation:

opening the bracket on the LHS, we have

-8x-40= -3x+x-7-3

-8x-40= -2x-10

collecting like terms

-8x+2x= -10+40

-6x= 30

divide both sides by -6

x= -5

6 0

3 years ago

What is the solution to the inequality below?

Svetlanka [38]

Answer:

B. x < -8 or x > 8

Step-by-step explanation:

You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.

Process:

You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.

This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.

Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!

Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)

The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.

We've proven that this solution is accurate for both parts, so it is definitely the one we want!

Hope this helps!

4 0

3 years ago

A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement i

Svetach [21]

Answer:

Option B. $11.78\ in^{3}$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3} \pi r^{2}h$

we have

$r=1.5\ in$

$h=5\ in$

substitute

$V=\frac{1}{3} \pi (1.5)^{2}(5)$

$V=3.75\pi\ in^{3}$

assume

$\pi =3.14$

$V=3.75(3.14)=11.78\ in^{3}$

3 0

2 years ago

The city will place a low fence around the entire fish pond.To the nearest hundredth, how long will the fence be?

Tom [10]

You can't tell the dimensions from the area. There are an infinite number of correct answers. The length of the fence is 2 times (length of the pond + width) and the length and width can be anything, just as long as their product is 2956.5 .

7 0

3 years ago