Answer:
7.2 volts
Step-by-step explanation:
3% of 240 is ...
0.03 × 240 = 3 × 2.40 = 7.20
The maximum allowable drop on a 240-volt circuit is 7.2 volts.
Start by factoring out the GCF, which is 3x:
3x(3x^2 + 2x - 1). Then factor the trinomial 3x^2 + 2x -1:
3x(3x-1)(x+1)
To solve the average rate of change, use the formula of the slope:
m = ( y2 - y1 ) / ( x2 - x1 )
but first we must solve the value of the function when x = 3
f(3) = - log ( 4 * 3 ) + 5
f (3) = 3.92
solve the function when x = 8
f(8) = - log ( 4 * 8) + 5
f(8) = 3.49
so the average rate of change
m = ( 3.49 - 3.92 ) / ( 8 - 3)
m = - 0.09
Answer:
B. 0.132
Step-by-step explanation:
For each time the dice is thrown, there are only two possible outcomes. Either it lands on a five, or it does not. The probability of a throw landing on a five is independent of other throws. 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.
Timothy creates a game in which the player rolls 4 dice.
This means that 
The dice can land in 6 numbers, one of which is 5.
This means that 
What is the probability in this game of having exactly two dice or more land on a five?

In which





So the correct answer is:
B. 0.132
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