Answer:
MMM
Step-by-step explanation:
Given
See attachment for elements of the sample space (in a probability tree)
Required
Which of MMM, FFM, MFF, FMF represents more than one male?
From the question, we understand that:
So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)
From the given options, only MMM has more than 1 M.
Hence, MMM represents more than one Male
Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± = ± 2i
( add 8 to both sides )
x = 8 ± 2i
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be
and Rose's age will be
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have years, and Rose will have
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.