Answer:
Ashley is making $570 a week
Step-by-step explanation:
500 + 20%= 600
600-5% =570
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
y = 5
Step-by-step explanation:
Expand the logarithm:

_____
You can also take the antilog first:
5y = y²
y(y -5) = 0 . . . . . subtract 5y, factor
y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.
Answer:
You have 80 yards left to run.
Step-by-step explanation:
To solve this problem, we first must realize that if you have completed 80% of the run, that you have 20% left (this is because 100%-80% = 20%).
Next, we must find 20% of 400 yards. We must remember that in math, the word "of" represents multiplication. We also know that 20% = 20/100 = 0.2.
To find 20% of 400 yards, we can perform the following operation:
20% * 400
0.2 * 400
80
Therefore, you have 80 yards left.
Hope this helps!