Answer:
x=26
C = 91
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B+ C = 180
35+ 52+ 3(x+5) = 180
Distribute
35+52+3x+15 = 180
Combine like terms
102 +3x = 180
Subtract 102 from each side
102-102 +3x=180-102
3x= 78
Divide by 3
3x/3 = 78/3
x=26
Now we need to find angle C
c = 3(x+5)
C = 3(26+5)
3(31)
93
Answer:
1/4 gallon
Step-by-step explanation:
4 quarts = 1 gallon, so 1 quart = 1/4 gallon.
Answer:
21 girls.
Step-by-step explanation:
50% of 42 students are girls.
So 42/2 = 21.
Therefore 21 of the students are girls.
<em>Hope I helped</em>
Everything has been explained in there
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044