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
JulijaS [17]
3 years ago
10

he temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 925 and

a standard deviation of 60 degrees. If bricks are fired at a temperature above 1150, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

Mean of 925 and a standard deviation of 60 degrees.

This means that \mu = 925, \sigma = 60

The proportion of bricks that crack during the firing process is closest to

This is 1 subtracted by the pvalue of Z when X = 1150. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1150 - 925}{60}

Z = 3.75

Z = 3.75 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

You might be interested in
Solve the equation:<br> - 6n = 2 3/4
Elena-2011 [213]

Answer:

n= 11/24

Step-by-step explanation:

hope it helps

3 0
2 years ago
salad dressing is made by mixing lemon juice and oil in the ratio 5:4. eleanor makes 900ml of the salad dressing how much lemon
xxTIMURxx [149]

Answer:

500 ml.

Step-by-step explanation:

5:4, right?

5 + 4 = 9

There's your answer, friend!

7 0
2 years ago
Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give th
ValentinkaMS [17]

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

<h3>How many more distance does the average race car travels than the average consumer car?</h3>

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

  • v' - Speed of the average race car, in miles per hour.
  • v - Speed of the average consumer car, in miles per hour.
  • t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

To learn more on uniform rectilinear motion: brainly.com/question/10153269

#SPJ1

4 0
1 year ago
Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form?
Lelechka [254]
The\ point-slope\ form:\\\\y-y_1=a(x-x_1)\\-------------------\\\\(-2;-6)\to x_1=-2;\ y_1=-6\\\\therefore\\\\y-(-6)=a(x-(-2))\\\\y+6=a(x+2)
8 0
3 years ago
Read 2 more answers
Find A and B. Using the image above.
NeX [460]

Answer:

a = 7, b = \frac{7\sqrt{3} }{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 7\sqrt{2} ( divide both sides by \sqrt{2} )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{a}{b} = \frac{7}{b} = \sqrt{3} ( multiply both sides by b )

b × \sqrt{3} = 7 ( divide both sides by \sqrt{3} )

b = \frac{7}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{7\sqrt{3} }{3}

7 0
2 years ago
Other questions:
  • 27. The altitude BD to the base AC of isosceles ABC has a length of 12. If AC = 10,
    10·1 answer
  • Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret wei
    9·1 answer
  • I dunno if u can see the questions but I need help in questions 3 and 4. Can I have a step by step with that as well please? Tha
    5·2 answers
  • The distribution of exam scores (ranging from 0 - 100%) where the mean score is 75%, the standard deviation is 12%, and the medi
    6·1 answer
  • What is the simplest form of x2+5x-6/x2+9x+18
    15·1 answer
  • The Sky High Ski Club dues are $450 per season. This fee includes transportation to and from the slopes and lift tickets. Skis c
    11·2 answers
  • A circle has a center at (4, -7) and a radius of 4 units. What is the equation of this circle?
    13·1 answer
  • Evaluate the function for g(-2).<br> g(x) = -4x^3 + 8x - 14
    9·1 answer
  • A bike path is 12.5 miles. Dominic is 70% of the way to the end. How far is Dominic on the​ path?
    15·1 answer
  • MATH FINAL QUIZ i’m taking it rn so pls answer ASAP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!