Answer: B
Step-by-step explanation:
The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.
a^2+b^2=c^2
Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.
(x^2-x^1)^2+(y2-y1)^2= AB
The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.
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.
(2/3)x = 10
(3/2)(2/3)x = 10(3/2)
x = 30/2 = 15
Answer:
c) The growth factor per days is 1.08
e) The growth factor per hour is 1.08^{1/24}
Step-by-step explanation:
Given the following data;
P(d) = 10 * 1.08^{d} in thousands.
a. To find the number of insects on day 1;
Day, d = 1
......equation 1
Substituting into the formula, we have;
Therefore, option (a) and (b) are incorrect.
c. To find the growth factor per day;
An exponential function is given by the formula;
.....equation 2
Where;
g is the growth factor of a population.
Comparing eqn 2 with eqn 1;
g = 1.08
Therefore, option (c) is correct.
e. To find growth factor per hour;
From equation 1 above;
Therefore, option e is correct.
