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
uysha [10]
2 years ago
5

Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value

9 min and standard deviation 3 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Round your answer to four decimal places.)

Mathematics
1 answer:
snow_tiger [21]2 years ago
8 0

Answer:

a) The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = 0.2546

Step-by-step explanation:

<u>Step1:</u>-

Given data in a  normal distribution with mean value 9 min and standard deviation 3 min.

Let 'X' be the amount of time taken on each day

Given x = 11 , μ=9min and σ=3min

by using normal distribution

Z= \frac{x-mean}{S.D} = \frac{11-9}{3}

Z = 0.66>0

<u>Step2:</u>-

The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = P(z>z₁) = 0.5-A(z₁) ( check diagram)

                          = 0.5 - A(0.66)

                          = 0.5 - 0.2454 ( check normal table)

                          = 0.2546

<u>Conclusion</u>:-

<u>The probability that the sample average amount of time taken on each day is at most 11 min.</u>

<u>P(X>11) = 0.2546</u>

You might be interested in
8+a=21 plssssssssssssszzzz​
attashe74 [19]

Answer:

13

Step-by-step explanation:

because a is the missing number. Well, 21 minus or -  8 is equal to 13.

8 0
3 years ago
HELP ME WITH THE EQUATION!!! IF ITS CORRECT ILL GIVE BRAINIST
Andrei [34K]

Answer:

The equation would be F = C - 3m

Step-by-step explanation:

Based on the chart, the fee for each movie you rent costs 3 dollars. The F is the monthly membership fee, the m is the number of movies rented, the 3 is the fee for each movie rented, & the C is the cost.

I really hope that it helps.

3 0
2 years ago
A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe
natka813 [3]

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

a+b+c+d=14\ ft.

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

7a+7b+7c+7d.

Use the distributive property for this expression:

7a+7b+7c+7d=7(a+b+c+d).

Since a+b+c+d=14\ ft, then

7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.

7 0
2 years ago
Read 2 more answers
Solve the following quadratic equation 6x^2-5x-4=0
jeka94

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

6

2

−

5

−

4

=

0

6x^{2}-5x-4=0

6x2−5x−4=0

=

6

a={\color{#c92786}{6}}

a=6

=

−

5

b={\color{#e8710a}{-5}}

b=−5

=

−

4

c={\color{#129eaf}{-4}}

c=−4

=

−

(

−

5

)

±

(

−

5

)

2

−

4

⋅

6

(

−

4

)

√

2

⋅

6

Step-by-step explanation:

6 0
3 years ago
Represent the following sentence as an algebraic expression, where ‘’ a number’’ is the letter x
spayn [35]

Answer:

n = x * 3

Step-by-step explanation:

n is your "number"

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! Thank you. I will mark brainliest if correct.
    14·2 answers
  • What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are adde
    6·1 answer
  • The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2
    8·1 answer
  • List five numbers that hav 3,5,and 7 as prime factors
    10·1 answer
  • Hannah has 283 charms to decorate bracelets. If she wants to put 5 charms on each bracelet, how many bracelets can she make
    6·2 answers
  • A 14.1 liter fish tank is being filled by 2 water faucets. Water flows out of Faucet A at the rate of 140 milliliters per minute
    10·1 answer
  • laura paddles n her canoe at a speed of 6 mph for 6 miles. She then hops on her windsurfer and sails for 12 miles at a speed of
    14·2 answers
  • Gio ran 5 miles yesterday. This distance is 80% of the distance he planned to run.
    8·2 answers
  • Please help me with this anyone please and thank you
    9·1 answer
  • If the spinner is spun twice, find P(even, then square).
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!