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
victus00 [196]
3 years ago
5

A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.

Mathematics
1 answer:
avanturin [10]3 years ago
7 0

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

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

This means that:

P(135  \: <  \: X  \: <  \: 175) = P( \frac{135 - 145}{16.5}  \: <  \:  z \:  <  \frac{175 - 145}{ 16.5} )

We simplify to get:

P(135  \: <  \: X  \: <  \: 175) = P(  - 0.61\: <  \:  z \:  <  1.82 )

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

P(135  \: <  \: X  \: <  \: 175) =0.69

The correct choice is C.

You might be interested in
49617.784414 to the nearest thousand
mixer [17]
Seems like its already rounded to the nearest thousandth any questions let me know
7 0
3 years ago
Read 2 more answers
The messure of &lt; bls is 90 degrees . Explain why &lt; lsb and &lt; lbs must be complementary
Kaylis [27]
Because they are the same angle and both equal 90 degrees.
6 0
3 years ago
Vincent works 8 hours a day for 5 days. How much does he earn at the rate of $.97 per hour?
Tresset [83]

Answer:

$38.8

Step-by-step explanation:

First, find how much money he gets paid in a day. Multiply 8 x .97, which equals $7.76. Then, multiply $7.76 x 5 to see how much he gets paid in 5 days. $7.76 x 5= $38.8

Hope this helps!

6 0
2 years ago
Read 2 more answers
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS!!!!
Radda [10]
Please take another picture i think i know the answer but i can’t see choices
5 0
2 years ago
Read 2 more answers
When do you find an area or volume by separating the figure into smaller figures?
brilliants [131]
The question is not defined very well so if u would repeat it
6 0
3 years ago
Other questions:
  • Can someone please help me if possible Thank you ❤
    5·1 answer
  • Review
    14·1 answer
  • I will mark brainliest!!
    9·1 answer
  • A triangle has height of 15 in. and area of 120 in^2. what is the length of the base?
    14·1 answer
  • If T is the midpoint of SU, find x.
    14·1 answer
  • Use the distributive property to express 24+36
    8·2 answers
  • A fountain holds 12500 7/8 gallons of water. Joe wants to calculate how many liters that is. Which proportion could he use to so
    5·1 answer
  • Pls Hurry! I Will Give Brainliest!
    9·2 answers
  • Math Question.......
    11·1 answer
  • Please answer these questions: are they rational or irrational numbers?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!