1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
leva [86]
3 years ago
15

According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa

lad and cooking oils in 2008 (www.ers.usda.gov/data/foodconsumption). Suppose that the current distribution of salad and cooking oil consumption is approximately normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

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.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that \mu = 54.3, \sigma = 14.5

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

Z = \frac{10 - 54.3}{14.5}

Z = -3.06

Z = -3.06 has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

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

Z = \frac{60 - 54.3}{14.5}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517

X = 35

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

Z = \frac{35 - 54.3}{14.5}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

Z = \frac{95 - 54.3}{14.5}

Z = 2.81

Z = 2.81 has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

You might be interested in
What is the value of x, if the area of ΔABC is 12√3 square cm.
lana [24]

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link  helps you

6 0
3 years ago
Someone please help me I’m struggling freshman in college. If the center of a ellipse is (5,-4) the major axis is horizontal and
ValentinkaMS [17]

Answer:

(14,-4)(-4,-4)

Step-by-step explanation:

5+9=14

5-9=-4

8 0
2 years ago
You spin the spinner once.
gregori [183]

Answer:

1/6

Step-by-step explanation:

There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.

Therefore, the answer is 1/6

7 0
2 years ago
is x = 6 a solution to this equation 7-2x=1-5x+2x.how do you know? if not what is the correct solution
astra-53 [7]
-2x + 5x -2x = 1 - 7
-4x + 5x = -5
-1x = -5
Then x = 5 not 6 :)

First of all, I collect like terms by rearranging coefficient with variables to one side plus
Rules;
1. When moving a coefficient (number ) the sign changes


6 0
3 years ago
Which shows all the like terms in the expression? –3 and 1; 4x and –3 –3 and 1; 4x and 7x 4x and 1; 7x and –3 4x and –3; 1 and 7
djverab [1.8K]

Answer:

4x and 7x

–3 and 1

Step-by-step explanation:

4x-3+7x+1

4x, 7x are like terms because the both have an x  

-3,1 are like terms because they are both constants

4x+7x-3+1

11x -2

4 0
3 years ago
Other questions:
  • David walked 0.5 kilometer from his home to the library which fraction is equivalent to 0.5
    14·2 answers
  • Every sixth visitor to an animal shelter gets a free animal calendar.every twentieth vistor gets a free animal toy.which visitor
    6·1 answer
  • The flagpole is 20 ft high and casts an 8 foot shadow, the oak tree casts a 12 foot shadow. How tall is the oak tree
    12·1 answer
  • So I’m doing my homework and I don’t know 3 2/3 + 5/4
    14·1 answer
  • M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet
    6·1 answer
  • A fence is 10 ft wide by 10 ft long. If posts are placed 2 feet apart how many posts are needed?
    14·1 answer
  • HELP me this Solve please
    13·1 answer
  • Restaurants often slip takeout menus under Meg's apartment door. So far, Meg has collected 18 menus, including 8 for Chinese foo
    6·2 answers
  • 4(-9x + 1) =<br> Answer?
    11·2 answers
  • Can some one help me with this question its hard :( down below ill give brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!