Answer: L ≈ 2.0 m
Step-by-step explanation:
Lsin40 = h
Lsin55 = h + 0.35
Lsin55 = Lsin40 + 0.35
Lsin55 - Lsin40 = 0.35
L(sin55 - sin40) = 0.35
L = 0.35 / (sin55 - sin40)
L = 1.98452 ≈ 2.0 m
Add the x to both sides and it turns into Y = x + 4. If this isn't what you're looking for, please provide the answer choices.
Answer:
<u>25 hours</u>
Step-by-step explanation:
It takes 5 men 45 hours to build a wall.
So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],
then time taken reduces by that same amount.
=> 45 hours / 1.8
=> 45 / (9/5)
=> 45 x 5 / 9
=> 5 x 5
=> <u>25 hours</u>
Answer:
0.0143
Step-by-step explanation:
In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.
We proceed as follows;
The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155
Let’s call this probability p
The probability that he/she isn’t on the flight, let’s call this q
q =1 - p= 0.845
Sample size, n = 155
P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 125 x 0.155
= 19.375
Standard deviation = √npq
= √ (125 x 0.155x 0.845)
= 4.0462
P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)
= P(Z < (10.5 - 19.375)/4.0462)
= P(Z < -2.19)
= 0.0143
