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
pishuonlain [190]
2 years ago
15

A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t

he probability that in a week more than 3 tons are dumped? (assume normal distribution)
Mathematics
1 answer:
vovikov84 [41]2 years ago
5 0
25.8%  
First, determine how many standard deviations from the norm that 3 tons are. So:
 (3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273  
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%  
So the probability that more than 3 tons will be dumped in a week is 25.8%
You might be interested in
Help me on this thanks
g100num [7]
The answer here is C.

Explanation:
24 feet / 10 inches = 28.8
Then take 60 feet and divide 28.8 by it:
2.08 feet
Then convert 2.08 ft to inches: 24.96 inches
8 0
3 years ago
What is the sum of numbers as a product of their GCF 45+60
Eduardwww [97]
Find the prime factorization

45=3*3*5
60=2*2*3*5
GCF=3*5=15

45=3*15
60=4*15

remember
ab+ac=a(b+c) so
45+60=15(3)+15(4)=15(3+4)=15(7)=105
5 0
3 years ago
What is the measure of ∠AED?
grigory [225]
AED is adjacent to 44 and these two angles are supplementary, meaning they sum to 180 so...

AED=180-44=136°
4 0
3 years ago
Triangle abc has the angle mesausres shown. Which statement is true about the angles?
Umnica [9.8K]

Answer:

m∠A = 20°

Step-by-step explanation:

Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.  

2x + 5x + 11x = 180

18x = 180

18x/18 = 180/18 or x = 10

m∠A = 2x or 2(10) = 20°

m∠B = 5x or 5(10) = 50°

m∠C = 11x or 11(10) = 110°

Out of the choices given, the only one that is true is that m∠A = 20°.

8 0
3 years ago
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
aalyn [17]

Answer:

942.48

Step-by-step explanation:

use the formula v=bh

step 1:find base use the formula to find the area of the circle

step 2:then multiply your answer of base with your height

like this \pi5^{2}then 78.59(12)

4 0
3 years ago
Other questions:
  • A) Round 98984 to 1 significant figure.
    12·1 answer
  • I need help 3x + 6 = 3(2 + x)
    11·2 answers
  • H=-16(t-) + 49,<br> Does the marshmallow reach its maximum height?
    11·1 answer
  • 5x – 2= 8<br> Please help me
    8·1 answer
  • I need help with area of a rectangle! Plese help me out this is a starr review!
    12·1 answer
  • Find the value of x so that the polygons have the same perimeter.
    9·1 answer
  • A LOT OF POINTS!!!! PLZ ANSWER
    11·2 answers
  • The line passes through (-5,6), slope=3. Write the equation in point-slope form​
    10·1 answer
  • Help please I need help
    11·2 answers
  • A particle, initially 15 m from the origin and travelling at -2 ms), accelerates at a constant rate and ends up -20 m from the o
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!