Answer:

Step-by-step explanation:
Recall the mnemonics SOH CAH TOA.
SOH means the Sine ratio is Opposite over Hypotenuse.
This implies that;

The side opposite to angle A is 4cm and the hypotenuse is 5cm.

Answer:
0.0159
Step-by-step explanation:
Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.
Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)
The plane is overbooked if more than 150 show up
i.e. less than 2 do not show up
Hence the probability that the airline overbooked this flight
=
Answer:
Let x pound of the sugar to make 20% syrup.
As per the statement:
Mom wants to make 5 Ibs of the sugar syrup.
We have to find how much water and sugar does she need to make 20% syrup.
By definition of proportion; we have

Simplify:

Multiply both sides by 5 we get;

Remaining = 5 -1 = 4 pounds of water
Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.
Answer:
Step-by-step explanation:
Yeo