8 + 0 = 8: identity- addition (any number + 0= that number)
<span>a(b + c) = ab + ac: distributive (multiplying a on the left-hand side of the equation by the numbers in parenthesis gives you the right-hand side of the equation) </span>
<span>b + a = a + b: commutative- addition (numbers can be added in any order and still produce the same answer) </span>
<span>If 2 = x, then x = 2: symmetric (if a = b then b = a) </span>
<span>x(10) to be written 10x: commutative- multiplication (numbers can be multiplied in any order and still produce the same result)</span>
Answer:
406
Step-by-step explanation:
let the 5 consecutive positive integers be
n , n + 1 , n + 2 , n + 3 , n + 4 , then
n + n + 1 + n + 2 + n + 3 + n + 4 = 2020
5n + 10 = 2020 ( subtract 10 from both sides )
5n = 2010 ( divide both sides by 5 )
n = 402
then
largest integer = n + 4 = 402 + 4 = 406
Answer: x = 12, y = -8
Step-by-step explanation:
If you do substitution:
4(-y+4) + 6y = 0
-4y + 16 + 6y = 0
2y + 16 = 0
2y = -16
y = -8
x = -(-8) + 4
x = 8 + 4
x = 12
Mr. Cahn’s total earnings in a year is $18,900.
<h3>What is the total earnings?</h3>
The total earnings is a function of the annual salary, commission and Christmas bonus.
Total earnings = annual salary + commission + Christmas bonus
Commission = 6% x (160,000 - 20,000)
6% x $140,000
0.06 x 140,000 = $8,400
Total earnings = $8,400 + 10,000 + $500 = $18,900
To learn more about addition, please check: brainly.com/question/19628082
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Answer:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
