Answer:
A. $22,500
Step-by-step explanation:
10% = 10/100 = 1/10
To divide a decimal number by 10, move the decimal point one place to the left (remove a zero):
$225000./10 = $22500.0 = $22500
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.
Answer:
10.14 years
Step-by-step explanation:
The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:
V=100-30e^{-0.04t}
The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:
80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years
It will take 10.14 years until 80% of all eligible voters in your county are registered to vote
Answer:
C, x ≥ 14.96
Step-by-step explanation:
Step 1: Add 3.408 to both sides.
2.2x − 3.408 (+ 3.408) ≥ 29.504 (+ 3.408)
2.2x ≥ 32.912
Step 2: Divide both sides by 2.2.
2.2x (÷ 2.2) ≥ 32.912 (÷ 2.2)
x = 14.96
Answer: The professor was not accurate with his hypothesis.
Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternate hypothesis: At least one proportion of the student will differ from the others.
Step-by-step explanation: To check if the professors hypothesis were inaccurate.
What percentage of student bought a hard copy of the book.
(25 ÷ 200) × 100 = 12.5%
What percentage of the student printed it from the web.
(85 ÷ 200) × 100 = 42.5%
What percentage of the students read it online.
(90 ÷ 200) × 100 = 45%
This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.
Therefore; the null hypothesis are
P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternative hypothesis will state that at least one of the proportion will be different from the others.