17 since 51 goes into 3 17 times and 2 goes into 48 24 times and 17 is the largest number that can have 3 republicans and 2 democrats. The andwer would be 17 comittees,
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So


Required
Determine the length of the rectangle:
Area is calculated as thus:

Substitute 3W - 12 for L and 135 for Area


Reorder:

Divide through by 3

Expand:



or 
or 
But width can't be negative
So:

Recall that: 


<em>Hence, the length 15 yards</em>
Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z =
= -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.
Answer:
The answer is: 181.5 square centimeters.
Step-by-step explanation:
The cube has six faces, and each face is a square with sides of length 5.5, so the area of one of this faces is
, adding the six faces, we get the answer: 
Answer:
Step-by-step explanation:
Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So
y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.