Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺
Answer:
Step-by-step explanation:
Sleep Deprivation
In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.
(a) Identify the sample used in the study.
(b) What is the sample's population?
(c) Which part of the study represents the descriptive branch of statitics?
(d) Make an inference based on the results of the study?
Solution
A. The samples used is the hours of sleep and math test scores of the volunteers
B. The samples population is hours of sleep and math test scores of people in general
C. The part of the study that represent the descriptive branch of statistics is "three times more likely"
D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.
This would depend on what you are asking for.
If you are adding the two numbers(which the word and is implying) you’re answer is 25 1/4.
You get this by finding a common denominator. In this case, that can be 4.
Turn 1/2 in to 2/4.
Next, you add 11 and 13 to get 24.
Then, you’ll add 2/4 and 3/4. You will get 1 1/4
Add 24 and 1 1/4. You have your answer of 25 1/4
It would be mean. The mean is the average that is you are looking for, since she wants a summerization of all the values in the data set. To find the mean (average) add all the numbers and then divide by the amount of numbers.