What is the volume of a cylinder with a height of 2 feet and a radius of 6 feet? use 3. 14 for pi. Enter your answer in the box.

Which best describes how sorting tools organize data?

scoundrel [369]

1st one, Sorting tools rearrange data within columns and rows.

6 0

2 years ago

Antique Accents tracks their daily profits and has found that the distribution of profits is approximately normal with a mean of

mezya [45]

Answer;

a) 0.434

b) 0.983

c) 0.367

Explanation:

The exact question with the given parameters wasn't obtained online, but the same question, albeit with different parameters is then obtained. Hopefully, this Helps to solve the complete question with the required parameters.

Antique Accents tracks their daily profits and has found that the distribution of profis is approximately normal with a mean of $17,700.00 and a standard deviation of about $900.00. Using this information, answer the following questions For full marks your answer should be accurate to at least three decimal places. Compute the probability that tomorrow's profit will be

a) less than $16,791 or greater than $18,231

b) greater than $15,783

c) between $17,997 and $20,130

Solution

This is a normal distribution problem with

Mean = μ = $17,700

Standard deviation = σ = $900

a) less than $16,791 or greater than $18,231. P(x < 16,791) or P(X > 18,231) = P(X < 16,791) + P(x > 18,231)

We first standardize 16,791 and 18,231

The standardized score for any value is the value minus the mean then divided by the standard deviation.

For 16791

z = (x - μ)/σ = (16791 - 17700)/900 = - 1.01

For 18231

z = (x - μ)/σ = (18231 - 17700)/900 = 0.59

To determine the required probability

P(X < 16,791) + P(x > 18,231) = P(z < -1.01) + P(z > 0.59)

We'll use data from the normal probability table for these probabilities

P(X < 16,791) + P(x > 18,231) = P(z < -1.01) + P(z > 0.59)

P(z < -1.01) = 0.15625

P(z > 0.59) = 1 - (z ≤ 0.59) = 1 - 0.7224 = 0.2776

P(X < 16,791) + P(x > 18,231) = P(z < -1.01) + P(z > 0.59) = 0.15625 + 0.2776 = 0.43385 = 0.434 to 3 d.p

b) greater than $15,783. P(x > 15783)

We standardize 15783

z = (x - μ)/σ = (15783 - 17700)/900 = -2.13

To determine the required probability

P(x > 15783) = P(z > -2.13)

We'll use data from the normal probability table for this probability

P(x > 15783) = P(z > -2.13) = 1 - P(z ≤ - 2.13)

= 1 - 0.01659 = 0.98341 = 0.983 to 3 d.p.

c) between $17,997 and $20,130.

P(17,997 < x < 20,130)

We first standardize 17,997 and 20,130

The standardized score for any value is the value minus the mean then divided by the standard deviation.

For 17,997

z = (x - μ)/σ = (17,997 - 17700)/900 = 0.33

For 20,130

z = (x - μ)/σ = (20,130 - 17700)/900 = 2.70

To determine the required probability

P(17,997 < x < 20,130) = P(0.33 < x < 2.70)

We'll use data from the normal probability table for these probabilities

P(17,997 < x < 20,130) = P(0.33 < x < 2.70)

= P(z < 2.70) - P(z < 0.33)

= 0.99653 - 0.62930

= 0.36723 = 0.367 to 3 d.p.

Hope this Helps!!!

3 0

2 years ago

At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the ocean's depth. Four seconds pass from the time th

stiv31 [10]

The first and second coordinate points of the sine graph are;

(0, 20) and (2, 22)

<h3>Sine Graph expression</h3>

The general formula we will use to plot the graph is;

y = [Asin (2πx/t)] + ∅ (Note that sin is in radians)

where;

A is amplitude

t is period

∅ is phase shift

We are told that the buoy bobs up and then down 2 meters from the ocean's depth. This means that;

Amplitude; A = 2

Now, Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Thus;

Period = 2 * 4 = 8 seconds

Assume at x = 0, the buoy is at normal ocean depth. Thus;

Phase shift; ∅ = 20

Thus, we have;

y = [2sin((2πx/8)] + 20

At x = 0, we have;

y = [2sin((2π*0/8)] + 20

y = 0 + 20

y = 20

Thus, first point is; (0, 20)

Since the second point must be a maximum or minimum value on the graph closest to the first point, then we put 2 for x to get the coordinate of the second point;

y = [2sin((2π*2/8)] + 20

y = [2sin(π/2)] + 20

In radians, sin(π/2) = 1. Thus;

y = (2 * 1) + 20

y = 22

Second point is (2, 22)

Using the first and second point coordinates, we will use sine tool to graph the function as attached below.

Read more about sine graph at; brainly.com/question/18055768

3 0

2 years ago

A longitudinal wave is observed to be moving along a slinky

Korolek [52]

Explanation:

A longitudinal wave is composed of compressions and rarefactions. An example of a lomgitudinal wave is sound waves. It's a type of wave thay moves parrelel to axis.

6 0

1 year ago

Carl explained to Mark that he had some work to do and had better get going.

Serga [27]

D. get going

the sentence is in the past
Carl explained to Mark that he had some work to do and had to go.

8 0

2 years ago