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
Illusion [34]
3 years ago
15

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

8 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:
Natali [406]3 years ago
6 0

Given:

z = (x - μ)/σ = z value
x = independent variable = 11
μ = mean = 8
σ = standard deviation = 3

Solution:

X ~ N (8, 3)

For day 1, n = 5

P (X < = 11) = P (Z < = 11 – 8 / 3/Sqrt5) = P (Z < =2.23) = 0.987126

For day 1, n = 6

P (X < = 11) = P (Z < = 11 – 8 / 3/sqrt6) = P (Z < =2.45) = 0.992857

 

For both days:

P (X <= 11) = P (X <= 11) = (0.987126) (0.992857) = 0.9801

You might be interested in
What is the result of adding these twice equations? <br><br> 5x-y=6 <br><br> -2x+y=8
LenKa [72]

Answer: 3x=14

X=14/3

y=52/3

Step-by-step explanation:

5x-y-2x+y=6+8

3x=14

X=14/3

Y=8+2x

Y=8+28/3

Y=52/3

6 0
2 years ago
A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
Ierofanga [76]

Option D, 270 is the answer

3 0
3 years ago
What is the height of the following triangle if the area is 60 square meters? Do not round your answer.
olga nikolaevna [1]

Answer: Height = 8 m

Step-by-step explanation: We have to find h...

We're given two values

A = 60

B = 15

60 is equal to 1/2 x 15

Solve for h:

h = 60 / (1/2 x 15)

h = 60 divided by 7.5

h = 8

I hope this helps!

5 0
3 years ago
Review the image below. Based on the image, what type of transformation is
podryga [215]

Answer:

When you read a sentence, you may first look for the subject or what the sentence is about. The subject usually appears at the beginning of a sentence as a noun or a pronoun. A noun is a word that identifies a person, place, thing, or idea. A pronoun is a word that replaces a noun. Common pronouns are I, he, she, it, you, they, and we. In the following sentences, the subject is underlined once.

Step-by-step explanation:

You will often read a sentence that has more than one noun or pronoun in it. You may encounter a group of words that includes a preposition with a noun or a pronoun. Prepositions connect a noun, pronoun, or verb to another word that describes or modifies that noun, pronoun, or verb. Common prepositions include in, on, under, near, by, with, and about. A group of words that begin with a preposition is called a prepositional phrase. A prepositional phrase begins with a preposition and modifies or describes a word. It cannot act as the subject of a sentence. The following circled phrases are examples of prepositional phrases.

4 0
2 years ago
Read 2 more answers
Select the correct answer.
lara31 [8.8K]
A I think it’s A llllleeeeettt go
6 0
2 years ago
Read 2 more answers
Other questions:
  • Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?
    5·1 answer
  • Free points and brainiest<br> 21 - 76 =
    11·2 answers
  • What is 11/12 plus -7/12 equal in a fraction?
    11·1 answer
  • Read the following graduated cylinder.
    15·2 answers
  • Simplify (7 + 1)2 – (11 + 32) - 4.
    11·2 answers
  • What is 83 tenths in lowest term
    8·1 answer
  • I need help 20 points for this !!!
    10·1 answer
  • What is the slope of the function?<br> 1<br> 4<br> N-<br> 2<br> 4
    5·1 answer
  • 7. V-63<br> Square root of -63
    5·1 answer
  • Find the perimeter of the given figure, round to the nearest tenth
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!