Answer:
Step-by-step explanation:
x^2 + 17x + 60
(x + 12)(x + 5)
Answer:
144 people were originally at the party.
Step-by-step explanation:
18 boys is one fifth of the second boys population, so the second population is 18x9 = 162. The original population would be 162-18, which equals 144.
Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then

It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e.,
, therefore
.
Hence, the correct option is A.
Answer: i think it is about 3.6%
Step-by-step explanation: