Answer:
See explanation
Step-by-step explanation:
Solution:-
- The researcher claims :
" the average annual salary of part-time community college instructors is at least $45,000 "
- We will extract the claim made by the researcher to be the Null hypothesis:
Null Hypothesis : μ ≥ $45,000
- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:
" the average annual salary of part-time community college instructors is less than $45,000 " :
Alternate Hypothesis : μ < $45,000
- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.
Lower tail - one sample - T-test.
Answer:
20 square units
Step-by-step explanation:
If Polygon C has an area of 40 square units, and we are told that Polygon D is a copy of Polygon C but with a scale factor of 1/2, then everything for Polygon D would just be one-half of what it was for Polygon C. Thus, the area would be half of 40 square units, or, 20 square units.
Answer:
The number of years to double the lump sum in value is;
N = 72/10 = 7.20
N = 7.20 years
Step-by-step explanation:
Using the rule of 72 for the approximation:
The formula for rule of 72 is;
Number of years to double = 72/interest rate in percentage
Given;
Interest rate = 10%
The number of years to double the lump sum in value is;
N = 72/10 = 7.20
N = 7.20 years
Answer: see below
Step-by-step explanation:
3x-12=7x+8 ⇔ given
-12=4x+8 ⇔ addition property of equality
-20=4x ⇔ subtraction property of equality
x=-5 ⇔ division property of equality
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5(x-1)=4x+13 ⇔ given
5x-5=4x+13 ⇔ distributive property
x-5=13 ⇔ subtraction property of equality
x=18 ⇔ addition property of equality
Answer:
The equivalent expression is - 25n - 2 and it matches with option D.
Step-by-step explanation:
We have to simplify and create the equivalent expression for
{- 2(- 5n + 6) + 5(2 - 7n)}
Now, {- 2(- 5n + 6) + 5(2 - 7n)}
= 10n - 12 + 10 - 35n
= - 25n - 2
Therefore, the equivalent expression is - 25n - 2 and it matches with option D. (Answer)
