In order to solve, set up a proportion: 22/126=x/100. Cross multiply: 2200=126x. Divide by 126 on both sides: 17.46%=x
Let X be the normal variable with mean μ =50 and standard deviation σ =2
We have to find probability that x is between 47 and 54
P(47 < X < 54) = P(X < 54) - P(X < 47)
= 
- 
= P(Z < 2) - P(Z < -1.5)
Using standard normal z score table to find probabilities we get
P(Z < 2) = 0.9772
P(Z < -1.5) = 0.0668
P(47 < X < 54) = P(Z < 2) - P(Z < -1.5)
= 0.9772 - 0.0668
P(47 < X < 54) = 0.9104
The probability that x is between 47 and 54 is 0.9104
Answer:
The actual length of the train is 79 3/4 feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope of the line between two points can be found with the following equation:
Plugging in the points 
and 
from the problem statement, we get the following:
Answer:
- Red beans =36
- Green beans = 12
- Yellow beans = 12
- Orange beans =6
- Black beans = 6
Step-by-step explanation:
If we assume that "x" is the total number of beans:
- <em>Red beans: x/2
</em>
- <em>Green beans: 1/6 (x) = x/6
</em>
- <em>Yellow beans: 1/6 (x) = x/6
</em>
- <em>Orange beans: 1/12 (x) = x/12
</em>
- <em>Black beans = 6
</em>
So, the sum of all the beans:
x/2 + x/6 +x/6 +x/12 +6 =x
Multiplying each term by 12:
(12) x/2 + (12)x/6 + (12)x/6 + (12)x/12 + (12)6 = (12)x
6x +2x+2x+x+72=12x
Isolating "x":
72 =12x -6x-2x-2x-x
72=x
Replacing the value of x in each equation of each bean:
- Red beans: x/2: 72/2 =36
- Green beans: 1/6 (x) = x/6= 72/6 = 12
- Yellow beans: 1/6 (x) = x/6=72/6 = 12
- Orange beans: 1/12 (x) = x/12 = 72/12=6
- Black beans = 6
