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
Sam stores manure for his farm in a rectangular box. The length of the box is 7 feet, The width is 9 inches, and the height is 6
ANEK [815]
It should only be able to hold 1 bag of manure
8 0
3 years ago
Read 2 more answers
Find x. Round to the nearest tenth if needed.
alexdok [17]

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

5 0
3 years ago
Read 2 more answers
In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders obs
Evgesh-ka [11]

Answer:Null hypothesis:  

Alternative hypothesis:  

 

 

The p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n  

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

 

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

 

Statistical decision  

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

 

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

3 0
3 years ago
If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year
Diano4ka-milaya [45]
<span>We are not told how often the interest is compounded, so assuming it is <em /><u><em>compounded yearly</em></u>, you need to keep $9.99 in the account to pay the fee.

<u><em>Explanation: </em></u>
Compound interest follows the formula A=p(1+r)^t,
where:
A is the total amount in the account,
p is the amount of principal,
r is the interest rate as a decimal number,
and t is the number of years.

<u>For our problem: </u>
A = 9.99,
p is unknown,
r = 0.018% = 0.00018,
and t=1.

<u>This gives us: </u>
9.99=p(1+0.00018)^1;
9.99=p(1.00018).

<u>Divide both sides by 1.00018: </u>
9.99=p.</span>
3 0
3 years ago
Read 2 more answers
What is the answer? Please help. Urgent.
MArishka [77]

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

V_1=Length\times Width \times height

V_1=16\times 7 \times 3

V_1=336

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

B=\dfrac{1}{2}\times Base\times Height

B=\dfrac{1}{2}\times 3\times 5

B=7.5

The volume of a prism is:

V_2=Bh

Where, B is the base area and h is the height of the prism.

V_2=(7.5)(6)

V_2=45

The volume of combined figure is:

V=V_1+V_2

V=336+45

V=381

Therefore, the volume of the figure is 381 cubic in.

7 0
3 years ago
Other questions:
  • A submarine is 600 feet below sea level. It is rising to the surface at a rate of 15 feet per hour. Which expression represents
    14·1 answer
  • How many categories of Verbs are there?
    5·1 answer
  • A taxi costs 1.65 for the first mile and 0.85 for each additional mile. Which equation could be solved to find the number x of a
    11·1 answer
  • What is 0.015 x 1.5=
    12·1 answer
  • Explain how you could use a number line to solve 70-50
    12·2 answers
  • Estimate the sum of 4.27 and 9.91 by first rounding each number to the nearest whole number.
    9·1 answer
  • Which is equivalent to log<br> 2 18 = x-1<br> 18^2 = x-1<br> 2^18 =x-1<br> 18^х-1=2<br> 2^x-1= 18
    15·1 answer
  • In the year 2000, the number of foxes in a
    10·1 answer
  • Which chemical equation is balanced?
    15·2 answers
  • What does it mean when my dog is eating grass???
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!