Answer:
66.42° between height and hypotenuse
23.58° between base and hypotenuse
Step-by-step explanation:
Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.
Similarly, sine of an angle is given by opposite divided by hypotenuse
Tangent is given by opposite divided by adjacent
In rhis case, we use cosine
Therefore, the angle between the hypotenuse and height is 66.42°
To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°
Answer: 0.0473
Step-by-step explanation:
Given : The proportion of gambling addicts : p=0.30
Let x be the binomial variable that represents the number of persons are gambling addicts.
with parameter p=0.30 , n= 10
Using Binomial formula ,
The required probability = 
Hence, the required probability = 0.0473
If the order doesn't matter, then the probability is 37.5%
If it has to be head head tail, then the probability is 12.5%
If the order doesn't matter, the possible outcomes that have two heads and one tail are HHT, HTH, and THH. Since these all have a probability of 12.5% of occuring, the probability of any of them occuring is 37.5%
Answer:
16/52
Step-by-step explanation:
A 4 or a club4/52 + 13/52 - 1/52 = 16/52 = 4/13f. A 6 or a spade4/52 + 13/52 - 1/52 = 16/52 = 4/13g. A heart or a club13/52 + 13/52 = 26/52 = 1/2h.
Answer:
$6.45
Step-by-step explanation:
$21.50-$15.05=$6.45
