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kompoz [17]
3 years ago
9

A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer

says he or she is willing to buy the fruit flavor is considered a success. Records for the past 5 years show that an average of 71% of the customers buy the fruit-flavored cereal. If 20 cereal buying customers walk into the supermarket, what is the probability that at the most 19 of them will buy the fruit-flavored cereal?
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20

P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1
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Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student
gizmo_the_mogwai [7]

Answer:

y=1.003009+0.003453x

or

GPA=1.003009+0.003453(SAT Score)

Step-by-step explanation:

The least square regression equation can be written as

y=a+bx

In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.

SAT score (X) GPA (Y) X²         XY

421           2.93 177241 1233.53

375          2.87         140625 1076.25

585          3.03 342225 1772.55

693          3.42  480249 2370.06

608          3.66 369664 2225.28

392          2.91  153664 1140.72

418           2.12  174724 886.16

484          2.5    234256 1210

725             3.24  525625  2349

506          1.97   256036 996.82

613           2.73  375769 1673.49

706          3.88 498436 2739.28

366           1.58  133956 578.28

sumx=6892

sumy=36.84

sumx²=3862470

sumxy=20251.42

n=13

b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2}  }

b=9367.18/2712446

b=0.003453

a=ybar-b(xbar)

ybar=sum(y)/n

ybar=2.833846

xbar=sum(x)/n

xbar=530.1538

a=2.833846-0.003453*(530.1538)

a=1.003009

Thus, required regression equation is

y=1.003009+0.003453x.

The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is

GPA=1.003009+0.003453(SAT Score)

7 0
3 years ago
Round 355,790 to the nearest thousand
alexgriva [62]

356,000 would be the answer I believe

5 0
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Step-by-step explanation:

2x²-98=0

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x=root 49

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