Answer:Please see answer in explanation column
Step-by-step explanation:
A
The sum of a number and 7 is not more than 10
Given answer: x + 7 < 10 , This is false
Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as
x + 7 ≤ 10
B
The product of a number and 4 is at least 20
Given answer: 4X > 20 ---- False
Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as
4X ≥ 20
C
The difference between a 15 and a number is at most 12
Given answer: 15-x>12----False
Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as
15-x ≤ 12
D
The quotient of a number and 8 is greater than or equal to
Given answer 8x <3 --False
Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3
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Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
<span>f(-3) = 4 + 3 + 9
f(-3) = 16
tell me if that is it
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Yes
The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.
This happens for all possible couples in your case:
Answer:
The correct option is (C) convenience sample.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling, i.e. all items does not have an equivalent chance or probability of being selected. This type of sampling method does not comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach or collect.
For example, sampling the the students of your own class or collecting sample from your own neighborhood.
In this case the Chief Financial Officer of Harrison Haulers, Inc. asks her staff to inspect the last 200 vouchers of the 2500 payroll vouchers that have been issued since January 1, 2000.
She did so because her staff did not have that much time in hand and it is quite convenient to check the last 200 vouchers.
This is because it is quite easy to review the last 200 payroll vouchers since they would be the most recent ones and quite easily accessible.
So, the sampling method used by the Chief Financial Officer of Harrison Haulers, Inc. is Convenience sampling.
Thus, the correct option is (C).
