Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e. 
and 
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula : 
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-
∴ Required probability = 0.8490
Answer:
I believe the answer is $1702.50.
Step-by-step explanation:
If you multiply 1500 by 4.5% (0.045 as a decimal) you will get 67.5 which is $67.5 interest for one year. For three years, you have too multiply 67.5 by 3 and you get $202.5. Finally, you add the total interest to the starting amount, $1500, which results in $1702.50.
<span>On the first roll, the probability of rolling a 2 is 1/6.
On the second roll the probability of rolling a 3 is also 1/6, and the probability of rolling a 4 on the third roll is, you guessed it, 1/6.
Therefore the required probability is given by:
1/6 x 1/6 x 1/6 = 1/216</span>
Answer:
They'll build 66 cars in those conditions.
Step-by-step explanation:
In this case we can use a compounded rule of three to solve the problem. We need to set it up as shown bellow:
160 workers -> 32 cars -> 2 hours
220 workers -> x cars -> 3 hours
If the number of workers rise, then we expect the number of cars to rise aswel, so they're directly proportional. If the number of hours worked increase we can expect the number of cars to increase aswell, so they're directly proportional. We can now set the fractions:
(160*2)/(220*3) = 32/x
320/660 = 32/x
x = (32*660/320) = 66 cars
They'll build 66 cars in those conditions.
Answer:
The width of the area model is equal to
Step-by-step explanation:
<u><em>The complete question is</em></u>
Todor was trying to factor 10x^2-5x+15 he found the greatest common factor of these terms was 5 what is the width
we know that
The area of a rectangular model is given by the formula
----> equation A
where
L is the length
W is the width
we have
Factor the expression
substitute the value of the Area in the equation A
In this problem
The greatest common factor of these terms is the length (L=5 units)
so
we can say that the width is equal to (2x^2-x+3)
therefore
The width of the area model is equal to
