Answer:
a. 0.7291
b. 0.9968
c. 0.7259
Step-by-step explanation:
a. np and n(1-p) can be calculated as:
#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:
#Define Y:
Y~(11.04,5.7408)
Hence, the probability of 12 or fewer is 0.8291
b. The probability that 5 or more fish were caught.
#Using normal approximation:
Hence, the probability of catching 5+ is 0.9968
c. The probability of between 5 and 12 is calculated as;
-From b above 
and a ,
=0.7291
Hence, the probability of between 5 and 12 is 0.7259
First, you would create an equation for this problem.
=
Next, you would cross multiply.
15x = 1,800
Now, you would isolate the x. To do this, you would divide both sides by 15.
x =
120It is a 120% increase. I hope this helps!
Answer:
C
Step-by-step explanation:
If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:
6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36
Hey there! :)
Answer:
Choice B.
Step-by-step explanation:
We can eliminate each graph:
a). This is what is known as a step function. This is incorrect.
b). This is an exponential function because the graph is shaped like a geometric equation. This means that the rate of change is exponential. This is the correct choice.
c). This is an absolute value function. This is incorrect.
d). This is a graph of a polynomial. This does not represent an exponential function, which makes it incorrect.
The product of a number and 3 can be represented as 3n (where n = unknown number). Then 6 less than 3n is 3n - 6.
3n - 6 = -18
3n = -12
n = -4
Check:
-4 x 3 = -12
-12 - 6 = -18 (this works!)
