A) (1/4)*120=
B) 22.5 or 22 1/2
C)1/3*50=16.67
D)0.125
E)1/3*70=24.33
F)1/9
G)0.37
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).
Answer:
D because y increases by 0 each time while x increases by 2 each time
I think you shouldn't memorize any formula to solve it. But you should know that on the fahrenheit thermometer freezing point is 32 and the boiling point is 212. And in celcius, it is 0 and 100. So we can make the inference that changing 100 units in celcius corresponds to a change of 180 units in fahrenheit. Thus, we should ask that if celcius increase from 0 to 200, what would happen to fahrenheit.
Basic math:
While celcius increase 100, fahrenheit increase 180,
While celcius increase 200, fahreinheit increase 360.
And you shouldn't forget that fahrenheit's freezing point is 32.
32+increase(360)=392
Answer:
The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.
Step-by-step explanation:
The probability, in this case, has to be calculated using the sum rule because the events are independent.
P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.
Facts:
P(men) = 60% = 99/165
P(non-fiction) = 40% = 66/165
P(men non-fiction) = 40/165
P = P(men) + P(non-fiction) – P(men non-fiction)
P = 99/165 + 66/165 – 40/165
P = 125/165
P = 0.758 or 75.8%
