. 5 (3 ⋅ 6) = (5 ⋅ 3) + (5 ⋅ 6
1 answer:
You might be interested in
Using the normal distribution, it is found that:
a)
b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
c) Low: $23,519.65, High: $26,580.35.
<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.
The mean and the standard deviation are given, respectively, by:
.
Hence the distribution of X can be described as follows:
The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:
X = 33950:
Z = 0.73
Z = 0.73 has a p-value of 0.7673.
X = 14200:
Z = -0.91
Z = -0.91 has a p-value of 0.1814.
0.7673 - 0.1814 = 0.5859.
There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:
X - 25150 = -0.127(12050)
X = $23,519.65.
X - 25150 = 0.127(12050)
X = $26,580.35.
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1
<h3>Answer:</h3>
96,767,921
<h3>Step-by-step explanation:</h3>5 - 7 + 2 - 6 ÷ 2 + 24^3 * 7000 - 76 = 96,767,921
Exponentiation is performed first, followed by multiplication and division in their order of appearance.
= 5 - 7 + 2 - 6 ÷ 2 + 13,824 · 7000 -76
= 5 - 7 + 2 - 3 + 96,768,000 -76
Then addition and subtraction are peformed in the order of appearance. (The commutative and associative laws apply.)
= (5 -7 +2) +96,768,000 -3 -76
= 96,767,921
_____
A Google or Bing search box will evaluate an arithmetic expression strictly according to the order of operations. Your result is attached. The preferred symbols are * (asterisk) for "times" and / (slash) for "divided by". The usual ^ (caret) is used for "to the power of." If you intend grouping, parentheses are required.