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
kati45 [8]
3 years ago
12

PLEASE HELP ME ASAP!!!

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0
Part 1:

The z-score of a value, a, given the mean, μ, and the standard deviation, σ, is given by

z= \frac{a-\mu}{\sigma}

Thus, given that t<span>he average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents.

The z-score of glass cleaner with a cost of 10.1 cents per ounce is given by

z= \frac{10.1-7.7}{2.5} = \frac{2.4}{2.5} =\bold{0.96}



Part 2:

Assuming the data is normally distribution, the probability that a normally distributed data is between two values a and b is given by

P(a\ \textless \ X\ \textless \ b)=P(X\ \textless \ b)-P(X\ \textless \ a) \\  \\ =P\left(z\ \textless \  \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \  \frac{a-\mu}{\sigma} \right)

Thus, given that a</span><span> candy bar takes an average of 3.4 hours to move through an assembly line and that the standard deviation is 0.5 hours</span><span>.

The probability </span>that the candy bar will take between 3 and 4 hours to move through the line is given by

P(3\ \textless \ X\ \textless \ 4)=P(X\ \textless \ 4)-P(X\ \textless \ 3) \\ \\ =P\left(z\ \textless \ \frac{4-3.4}{0.5} \right)-P\left(z\ \textless \ \frac{3-3.4}{0.5} \right)=P(z\ \textless \ 1.2)-P(z\ \textless \ -0.8) \\  \\ =0.88493-0.21186=\bold{0.6731}



Part 3

Given that t<span>he average noise level in a diner is 30 decibels with a standard deviation of 4 decibels.

The value for which the noice level is below 99% of the time</span> is the value for which the probability that the noice level is below that value is 0.99.

<span>Assuming the data is normally distribution, the probability that a normally distributed data is less than a value, a, is given by

P(X\ \textless \ a)=P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)

Thus, given that </span>t<span>he average noise level in a diner is 30 decibels with a standard deviation of 4 decibels.

The value for which 99% of the time, the noise level is below is obtained as follows:

P(X\ \textless \ a)=0.99 \\  \\ \Rightarrow P\left(z\ \textless \ \frac{a-30}{4} \right)=P(z\ \textless \ 2.33) \\  \\ \Rightarrow\frac{a-30}{4}=2.33 \\  \\ \Rightarrow a=4(2.33)+30=\bold{39.32}

Note: there is standard deviation value was omitted in the question post but I used 4 as my standard deviation. So you can substitute the appropriate standard deviation for you question.



Part 4:

From the empirical rule, it is known that for a normally distributed data that 95% of the data are within 2 standard deviations.

Thus, given that t</span><span>he mean income per household in a certain state is $29,500 with a standard deviation of $5,750.

The values between which 95% of the incomes lies is obtained as follows:

95\% \ of \ the \ data \ lies \ between \ \mu\pm2\sigma=\$29,500\pm2(\$5,750) \\  \\ =\$29,500-\$11,500 \ and \ \$29,500+\$11,500=\bold{\$18,000 \ and \ \$41,000}</span>
You might be interested in
How do you simplify this expression? - 3+8n+n- 10
Zarrin [17]
You have 9n and -7 in total so the answer is 9n-7. You add up all the numbers and then add up the numbers with n attached to them
6 0
3 years ago
On a recent quiz, the class mean was 70 with a standard deviation of 4.4. Calculate the z-score (to 4 decimal places) for a pers
Luba_88 [7]

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

Clear Your concept

6 0
3 years ago
Can I pleae get some help i dont get it
Gwar [14]

Answer:

Step-by-step explanation:

Initial value ( y - value) for  Function A is 12.

For B its 3(-1) + 2 = -1   so the answer is Function A.

3 0
2 years ago
Read 2 more answers
Solve for x. 58x+21.9=105
solong [7]

Answer:

1.43

Step-by-step explanation:

I am sorry if i am wrong

6 0
3 years ago
Can someone help me with this pleasee
I am Lyosha [343]

Answer:

its D

Step-by-step explanation:

good luck

6 0
2 years ago
Read 2 more answers
Other questions:
  • Passes through(4,7)Slope=2
    5·1 answer
  • For every 2 dogs at the vet there are 3 cats if there 6 dogs at the vet how many cats are there?
    11·1 answer
  • Help with a,b,c answers
    7·1 answer
  • Calculate the amount and the compound interest on Rs 12.000 in 2 years at 10%
    13·1 answer
  • Solve for y<br> a. 4x + 5y = 25
    7·1 answer
  • Which expression is equal to 48 + 72?
    6·2 answers
  • Simplify the following expression: 8v + v
    5·2 answers
  • Can someone help me pls
    13·1 answer
  • This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
    8·1 answer
  • If one angle is 8 less than four times th of its complementary angle find both angle​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!