Answer:you would have saved $31 after 5 days
Step-by-step explanation:
You double the number of dollars in the envelopes from the day before. This means the amount in a day is double the amount in the previous day. Therefore, amount of money in the envelope is increasing in geometric progression. The formula for determining the sum of n terms of a geometric sequence is expressed as
Sn = a(r^n - 1)/r - 1
Where
a represents the first term.
r represents the common ratio.
From the information given,
a = 1
r = 2
n = 5 days
S5 = 1(2^5 - 1)/2 - 1
S5 = 32 - 1 = 31
The statement second "this is nonresponse bias because many customers may choose to not fill out the cards" would be the best choice.
<h3>What is a survey?</h3>
A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have an automotive service centre would like feedback on its customer service each customer receives a printed card after they pay for services with a short survey on which customer service is ranked on a scale from 1 to 5.
From the data given we can say, not everyone will choose to leave a review when leaving the store, and those who do will have been inconvenienced in some way and felt compelled to do so, while the rest of the customers left and went about their business.
Thus, the statement second "this is nonresponse bias because many customers may choose to not fill out the cards" would be the best choice.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ1
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
Let the distance be D miles
Car A:- D = 2.4R and for Car B:- D = 4(R- 22)
therefore 2.4R = 4(R-22)
4R - 88 = 2.4R
1.6R = 88
R = 55mph Answer
