I assumed that 3 households are sampled.
Now, is the number in each of these households equal to 1, 3 and 8 people?
Next, the question says, samples of n=2 are randomly selected (with replacement) from these 3.
So are sample space is
11
13
31
33
18
81
38
88
83
88
This is done 9 times.
Is that how you understand the problem?
When they select the household with only 1 person, the variance is 0
When they select the household with 8 people, they variance will be from a discrete uniform distribution
Similarly for household with 3 individuals.
<h3>
Answer:</h3>
1 27/28 ≈ 1.964 gallons/hour
<h3>
Step-by-step explanation:</h3>
You want gallons in the numerator of your unit rate, but that unit is in the denominator of the mileage rate. So, the computation must involve division by 28 mpg. Hours is already in the denominator of 55 mph, so the computation will involve multiplication by that rate.
... (55 mi/h)/(28 mi/gal) = (55 mi/h)·(1 gal/(28 mi)) = 55/28 gal/h
... = 1 27/28 gal/h
I believe the answer is x = 4
Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)
Answer:
y=2
Step-by-step explanation:
1/3(y+7)=3(y-1)
1) Distribute 1/3 to y+7, and distribute 3 to y-1:
1/3y+7/3=3y-3
2) Add 3 to both sides:
1/3y+16/3=3y
3) Subtract 1/3y from both sides:
16/3=8/3y
4) Multiply both sides by the reciprocal of 8/3: (3/8)
y= 48/24
5) Simplify:
y=2