Answer:
19 and 23/55
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Answer: 416 mm
Step-by-step explanation: The equation for the volume of a rectangular prism is length*width*height. The width (5) times the height (8) is 40 (5*8=40). The volume is that (40) times the length(10.4) which is 416 (40*10.4=416).
X= 5y + 1
-2x + 9y = -1
-2(5y + 1) + 9y = -1
-10y - 2 + 9y = -1
-y - 2 = -1
-y = 1
y = -1
x + 5 = 1
x = -4
(-4, -1)
Answer:





Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
32% of all homeowners are insured against earthquake damage.
This means that 
Four homeowners are to be selected at random.
This means that 
Find the probability distribution of X.
This is the probability of each outcome






The total length is 456 cm.
132+94+108+w+w=456
334+2w=456
2w=122
w=61