Answer:
$ 7.7
Step-by-step explanation:
Given,
There are 18 $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill,
Total number of bills = 18 + 10 + 8 + 3 + 1 = 40,

Thus,
The probability of $ 1 = 
The probability of $ 5 = 
The probability of $ 10 = 
The probability of $ 20 = 
The probability of $ 100 = 
If a bill is selected randomly,
The expected value of the bill



= $ 7.7
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
.
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:


Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer: 5(x+1)
Step-by-step explanation:
Let the number be x
Sum of number and 1 is x+1
5 times the sum is 5(x+1)
Answer:
a number
Step-by-step explanation:
Answer:
cm
Step-by-step explanation:
As this problem is involving the adjacent and hypotenuse sides, we will be using the cosine function
We can setup an equation as follows

We can now solve for x

This rounds to
