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Arisa [49]
3 years ago
15

Mark's dog ran 34 of a mile in 14 of an hour. compute the unit rate of miles per hour.

SAT
1 answer:
solniwko [45]3 years ago
7 0
Mark's dog ran 3 4 of a mile in 1 4 of an hour. Compute the unit rate from the complex fraction 3 4 1 4 miles per hour.
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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
3 years ago
Classify each of the following as a nonessential element, essential bulk element, or essential trace element.
Sav [38]

The classification of each of the elements into nonessential element, essential bulk element, or essential trace element are as follows:

Nonessential elements:

  • Alumimium,
  • Argon,
  • Helium

Essential bulk elements:

  • Carbon,
  • Nitrogen,
  • Calcium,
  • Hydrogen

Essential trace elements:

  • Iron,
  • Copper.

The complete question

The elements are: Hydrogen, iron, Copper, Nitrogen, Helium, Carbon, Aluminum, Calcium, Argon

<h3>What is Essential and Nonessential Elements?</h3>

Nonessential elements as the name implies are elements which are not necessary for the functional routine of the body and hence are not included in diets.

Essential bulk elements are elements which are needed for the proper functioning of the body and hence are required in relatively large amounts.

Essential trace elements are required in minute quantities in the body.

Learn more about Essential and nonessential elements;brainly.com/question/861262

7 0
2 years ago
Who thinks trump is going to win
Kipish [7]

Answer:

me but i dont know for sure he losing right now

Explanation:

i am so nervous

4 0
3 years ago
Read 2 more answers
Read this passage:
photoshop1234 [79]

Answer:

It can help to have experts

Explanation:

I got the question correct

8 0
3 years ago
Which of the following will be the ratio of the perimeter of the blue triangle to the red triangle.
Kazeer [188]

The ratio (red to blue) of the perimeters of the similar triangles is 12:7

Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.

Perimeter of a triangle = s1 + s2 + s3

For the red triangle;

Perimeter of the red triangle = 12 + 12 + 12

Perimeter of the red triangle = 36

For the blue triangle:

Perimeter of the blue triangle = 7 + 7 + 7

Perimeter of the blue triangle = 21

Taking the ratio of their perimeters;

Ratio of red to blue = 36:21 = 12:7

Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7

Learn more here: brainly.com/question/15046223

8 0
2 years ago
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