Answer:
∠ABC= 35°
Step-by-step explanation:
im not sure if u need explanation but comment if u do
Answer:
Step-by-step explanation:
<u>We know that:</u>
- sin 30° = 1/2, therefore arcsin (1/2) = 30°
- tan 45° = 1, therefore arctan (1) = 45°
<u>So the value of the expression is:</u>
- arcsin (1/2) + arctan (1) = 30° + 45° = 75°
Answer:
C) 6 feet
Step-by-step explanation:
The diagram is shown in the attachment.
Using the Pythagoras Theorem,
We take positive square root to obtain
x=5.66ft
Rounding to the nearest feet we have x=6ft
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