Answer:
10) -24
11) -15
12 -56
13) -7
14) 175
15) -7
16) 80
17) -25
Step-by-step explanation:
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Answer:
0.0039 = 0.39% probability that she beats all 4 levels on the first try.
Step-by-step explanation:
For each level, there are only two possible outcomes. Either she can win the new level on the first try, or she cannot. The probability of winning a level on the first try is independent of any other level. This means that the binomial probability distribution is used 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.
She knows that she can win a new level on the first try 25% of the time.
This means that 
Janice plays through 4 levels.
This means that 
What is the probability that she beats all 4 levels on the first try?
This is P(X = 4). So


0.0039 = 0.39% probability that she beats all 4 levels on the first try.
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
558 gallons are used when the car has been driven 18 miles.
<u>Step-by-step explanation:</u>
<u>From the given data, it can be determined that :</u>
- The number of gallons for 2 miles = 62 gallons
- The number of gallons for 4 miles = 124 gallons
- The number of gallons for 10 miles = 310 gallons
Let, the number of gallons for 18 miles = 'x' gallons
<u>To find x :</u>
compare the given data with the unknown data,
62 gallons / 2 miles = x gallons / 18 miles
keep x alone on one side,
x = (62×18) / 2
x = 31×18
x = 558 gallons
Therefore, 558 gallons are used to drive 18 miles.