Define x:
Let angle a be x.
angle a = x
angle b = 3x + 32
angle c = x + 58
Find x:
Angles in a triangle add up to 180°:
x + 3x + 32 + x + 58 = 180
Combine like terms:
5x + 90 = 180
Take away 90 from both sides:
5x = 90
Divide by 5 on both sides:
x = 18°
Find the angles:
angle a = x = 18°
angle b = 3x + 32 = 3(18) + 32 = 86°
angle c = x + 58 = 18 + 58 = 76°
Answer: The angles are 18°, 86° and 76°.
Answer:
(e) The women on the Maryland field hockey team are not a random sample of all female college field
hockey players. Similarly, the women on the Maryland basketball team are not a random sample of all female
college basketball players. However, for the purposes of this question, suppose that these two groups can be
regarded as random samples of all female college field hockey players and all female college basketball
players, respectively. If these were random samples, would you think that female college basketball players
are typically taller than female college field hockey players? Explain your decision using answers to the
previous questions and/or additional reasoning.
Answer:
Line S
Step-by-step explanation:
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient
; in general a binomial coefficient is written by:
In which
and
are positive integers, such that
.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer:
4/3
Step-by-step explanation:
This is just one of the ways you can do it
find the decimal or divide each fraction
so for the first one 4/3
4 divide by 3 is 1.33333
while 4 divide by 4 is 1
Compare
1.333333 and 1
Of course, 1.33333 is bigger than 1
so 4/3 is the correct answer
Hope this helps :)
