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
Art [367]
3 years ago
7

The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 mil

limeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters. Round your answer to four decimal places.
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

  • In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

  • Find the probability that the diameter of a selected bearing is greater than 84 millimeters

This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

  • 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (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 p-value, we get the probability that the value of the measure is greater than X)

You might be interested in
What is the relationship between the 6s in the number 6,647
Pavlova-9 [17]
The number has one six that is in the hundreds place the other one is in the thousand place
3 0
3 years ago
Read 2 more answers
Bob said a street was 4000 meters long. Steve said another street was 2010 meters long. They both want to know what both the str
SCORPION-xisa [38]

Answer:

0

Step-by-step explanation:

Because anything times 0 is 0

4 0
2 years ago
Read 2 more answers
Simplify the given expression, using only positive
zalisa [80]

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

5 0
3 years ago
Coefficient of (2x+y^2)^5
BigorU [14]
<span>(2x + y2)<span>5 heres you answer your so welcome</span></span>
7 0
3 years ago
leaks can write a 500-work essay in a hour. if she writes a essay in 10 minutes, how many words will it contain?
gavmur [86]

Answer:

about 83 words

Step-by-step explanation:

60/6=10

500/6 about 83

7 0
3 years ago
Other questions:
  • When you subtract one square number from another the answer is 7 what are the two numbers
    11·1 answer
  • Garth got 117 votes in the class election. 240 people voted. What percent of all the votes did he get?
    14·1 answer
  • Define the variables you will use in your equation. (1 point) Let one variable be the distance away from the surface and the oth
    8·1 answer
  • Find the Distance between the points (-6,5)and(8, -3)
    10·1 answer
  • What is the reciprocal of 6
    14·1 answer
  • Help please I’m new to this not really sure how it works but I need help with math!
    7·1 answer
  • si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?​
    10·1 answer
  • What is the value of y in the equation 5x+2y=20 when x = 0.3?
    14·1 answer
  • 5. One side of a square field is 3/4 of a kilometre. What is the length of the perimieter of that
    7·1 answer
  • If a = (3-2√2) find the value of a4+ 1/a4 ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!