Answer:
Solution given:
we have
m<PTQ=m<RTS
x+20=3x+12.
20-12=3x-x
x=

now
16.m<PTQ=x+20=4+20=24°
17.
again
m<PTR+m<PTQ=180°[supplementary]
so
m<PTR=180°-24°<u>=1</u><u>5</u><u>6</u><u>°</u><u> </u><u>i</u><u>s</u><u> </u><u>your</u><u> </u><u>answer</u>
7.5% of 225 is <span>16.875.
</span>
Answer: Yes, it will be enough.
Step-by-step explanation:
I will answer this in English:
We have 27 students and 81 units, we want to give 3 units to each student.
This is only possible if the quotient betwen 81 and 3 must be bigger than 27.
Lets do it:
81/3 = 27
So we have exactly enough for the 27 students.
Answer:
There is a 90.32% probability that the cake was baked by Doug.
Step-by-step explanation:
We have these following probabilities:
A 70% probability that Doug bakes the cake.
A 30% probability that Jeremy bakes the cake.
A 40% probability that a cake baked by Doug gets a thumbs up.
A 10% that a cake baked by Jeremy gets a thumbs up.
One cake was selected at random on 10/01/2014 and got a "thumbs up".
1. Find the probability that the cake was baked by Doug.
The probability that a baked cake gets a thumbs up is:

Of those, 0.7*0.4 = 0.28 are baked by Doug.
So the probability is:

There is a 90.32% probability that the cake was baked by Doug.
I think the correct answer is 3 because on the tails part of the diagram there are 3.