Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
Area: Trapezoids A = ½h(b1<span> + b</span>2<span>)
</span>Rhombuses A=pq/2
Kites A=pq/2
Answer:
If x + 1 is odd, then x is even.
Step-by-step explanation:
The converse of the statement ...
if P, then Q.
is ...
if Q, then P.
Here, we have P="x is even" and Q="x+1 is odd". The converse statement is ...
if x+1 is odd, then x is even.
Answer:
158.4 pounds
Step-by-step explanation:
first find the volume of the tank
to convert this to m^3 we know that 1m = 100cm
the cm^3 cancel out.
by simply converting the side-lengths to meters beforehand can give you this answer directly:
it is given that 1 meter cube of water weighs about 2200 pounds.
multiply both sides with 0.072 to find our answer:
hence the weight of the water in the tank would be 158.4 pounds!
2+x=2x-15
>> 2+15=2x-x
>> 17 = x
So the answer is <u>17</u>
