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
klasskru [66]
3 years ago
12

The loaves of rye bread distributed to a local store by a certain bakery have an average length of 30 centimeters and a standard

deviation of 2 centimeters. Assuming the lengths are normally distributed. What percentage of loaves are between 26.94 and 32.18 centimeters
Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

79.91% of loaves are between 26.94 and 32.18 centimeters

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 30, \sigma = 2

What percentage of loaves are between 26.94 and 32.18 centimeters

This is the pvalue of Z when X = 32.18 subtracted by the pvalue of Z when X = 26.94.

X = 32.18:

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

Z = \frac{32.18 - 30}{2}

Z = 1.09

Z = 1.09 has a pvalue of 0.8621

X = 26.94:

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

Z = \frac{26.94 - 30}{2}

Z = -1.53

Z = -1.53 has a pvalue of 0.0630

0.8621 - 0.0630 = 0.7991

79.91% of loaves are between 26.94 and 32.18 centimeters

You might be interested in
Evaluate-2.75 - f for f = -6.5
Stels [109]

Answer:

Step-by-step explanation:

we have f=-6.5

-2.75- (-6.5)= -2.75+6.5=3.75

4 0
2 years ago
How do I multiply mixed numbers? For example: 6 4/5 x 8 9/10. I need help I have a quiz on this.​
nordsb [41]

Step-by-step explanation:

First you have to convert each number to improper fractions.

Next you have to multiply denominator to denominator, and fraction to fraction.

Then simplify your final answer to the lowest form possible.

Hope this helps :)

6 0
3 years ago
A car factory can produce 362 cars every hour how many cars could the factory produce in 44 hours
aleksandr82 [10.1K]
15,928 cars! i hope this helps you!
8 0
3 years ago
Read 2 more answers
What is the absolute value of -5
vladimir2022 [97]
The absolute value of 2 + 7<span> is 5.</span>
3 0
3 years ago
Read 2 more answers
A proportional relationship i shown below.Select the equation that correctly represents the relationship between the cost and th
enyata [817]
C=7n because
28 divided 4 is 7
7 is the proportional
8 0
3 years ago
Other questions:
  • If 2,000 people voted in the election how many were from 50 to 64 years old?
    10·1 answer
  • Gcf of 28 and84 and 65 39 and 75 and 45
    15·1 answer
  • Laverne earns $560 a week and she works 5 days a week. What is her daily wage
    6·2 answers
  • The sum of two integers is 63 and their difference is 7. Find the integers.
    12·1 answer
  • Which operations is the following set closed under: {2, 4, 6, ...}?
    14·1 answer
  • Which answer shows 0.05 written in scientific notation?<br> 0.5x 10-1<br> 5x10-2<br> 5x10-<br> 5x102
    15·1 answer
  • Water flows through a pipe at a rate of 10 cubic meters per day. Express this rate of flow in milliliters per minute. Round your
    8·1 answer
  • Avi is 4 years older than twice the age of his sister sharda. Avi is 16. how old is sharda a.4yrs b. 6yrs c. 8yrs
    14·2 answers
  • Is it a b c or d ? please help i’m doing iready testing
    8·1 answer
  • Assume that you have saved $2,000 for the purchase. How much of this money will you be able to put towards the purchase price of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!