Answer:
PM:MQ = 8:3.
Step-by-step explanation:
;
;
.
Also,
in right triangle PBM.
Thus .
Additionally .
Therefore .
for M is the midpoint of segment BC.
.
implies that
.
Answer: C
Step-by-step explanation:
On the big triangle, the length from the origin to point A is three blocks. On the new triangle it is only one block. And it is getting smaller, so it is a fraction.
1/3 over the y axis.
Answer:
The pressure at 50 feet is 2.51515 atm
Step-by-step explanation:
we are given equation as
where
p(d) gives the pressure, in atmospheres (atm)
a depth d in the sea (d is in feet)
We are given
d=50 feet
So, we can plug d=50 and find p
So,
The pressure at 50 feet is 2.51515 atm
Answer:
78
Step-by-step explanation:
if you flip it upside down it is in numerical order starting from 86. filling in the blank then flipping the number upside will result in the answer being 78. if not the then idk bro
<span>If there has to be 2 men and 2 women, we know
that we must take a group of 2 men out of the group of 15 men and a group of 2
women out of the group of 20 women. Therefore, we have:
(15 choose 2) x (20 choose 2)
(15 choose 2) = 105
(20 choose 2) = 190
190*105 = 19950
Therefore, there are 19950 ways to have a group of 4 with 2 men and 2women.</span>
<span>If there has to be 1 man and 3 women, we know
that we must take a group of 1 man out of the group of 15 men and a group of 3
women out of the group of 20 women. Therefore, we have:
(15 choose 1) x (20 choose 3)
(15 choose 1) = 15
(20 choose 3) = 1140
15*1140 = 17100
Therefore, there are 17100 ways to have a group of 4 with 3 women and 1 man.</span>
<span>We now find the total outcomes of having a group
with 4 women.
We know this is the same as saying (20 choose 4) = 4845</span>
Therefore, there are 4845 ways to have a group of
4 with 4 women.
We now add the outcomes of 2 women, 3 women, and
4 women and get the total ways that a committee can have at least 2 women.
19950 + 17100 + 4845 = 41895 ways that there will
be at least 2 women in the committee