Answer:
Step-by-step explanation:
Hello!
The standard normal distribution is a bell-shaped distribution with mean 0 and standard deviation 1.
a.
You need to find the number of Z so that 0.9986 of the distribution is below it. Symbolically:
P(Z≤a) = 0.9986
To do so you have to use the table of the standard deviation distribution. These tables show values of accumulative probabilities
(right entry, positive values of Z) and
(left entry of the table, negative numbers of Z)Since the probability value greater than 0.5 (remember, for this distribution, the mean is zero and the cumulative probability to the mean is the 50% of the distribution), you have to look for it in the body of the right Z-table and then reach the margins to know the corresponding Z value. The first column shows the integer and first decimal and the first row shows the second decimal.
(1st attachment)
Z= 2.98
b.
Now you have to look for a value of the distribution that has above it 60% of the distribution, symbolically:
P(Z>b)=0.6
Now the table only gives you values "less or equal than" the corresponding value of Z. So you have to rewrite this expression so that you cand find the missing value. A little reminder: The maximal value of probability for any distribution is 1. So you can rewrite the expression as:
P(Z>b)=0.6 ⇒ P(Z≤b)= 1 - 0.6
P(Z≤b)= 0.4
This value of Z accumulates a probability of 40% since it is less than 50% then you have to look for this value in the left entry of the table and b will be a negative value of Z. Just as before, look for the probability in the body of the table and then the corresponding Z value in the margins. (2nd attachment)
Z= - 0.25
I hope this helps!
26)In order to calculate the mean, the average must be determined. In this scenario, the mean is determined by dividing 60 by 5.
alligator population is 12.
27) you just divided 105/7 the answer is 15
Your going to have to draw it out,but just look for the number on your number line and put a point above the number.
Answer:
The equation to calculate the average rate of change is: y/x
Step-by-step explanation:
y = f(x2) - f(x1)
x = x2 - x1
x1: 1 (The smaller x value. It can be any number)
x2: 2 (The larger x value. It also can be any number)
f(x1): The value when you plug x1 into the function.
f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2
x1: 1
f(x2): 10(5.5)^(2) = 302.5
f(x1): 10(5.5)^(1) = 55
This means:
y = 302.5 - 55 = 247.5
x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Answer:
2.25
step-by-step explanation:
multiplying .95 times 45 and subtracting it by 45