1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ryzh [129]
3 years ago
7

According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at r

andom, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)
Mathematics
1 answer:
amid [387]3 years ago
8 0

This question is incomplete, the complete question is;

According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)

a) All 14 will return?

b) How many customers would be expected to return to the store ?

Answer:

a) the probability that All 14 will return is 0.0122

b) The number of customers that would be expected to return to the store is 13.27

Step-by-step explanation:

Given the data in the question;

p = 73% = 0.73

sample size n = 14

a)  the probability that All 14 will return;

P( x = 14 ) = ⁿCₓ × Pˣ × ( 1 - P)^{n-x

we substitute

P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × ( 1 - 0.73)^{(14-14)

P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] ×  (0.73)¹⁴ × ( 0.27)^{0

P( x = 14 ) = 1 × 0.0122045 × ( 0.27)^{0

P( x = 14 ) = 1 × 0.0122045 × 1

P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }

Therefore, the probability that All 14 will return is 0.0122

b) Expected Customers;

E(x) = n × p

we substitute

E(x) = 14 × 0.73

E(x) =  13.27  { 2 decimal place }

Therefore, The number of customers that would be expected to return to the store is 13.27

You might be interested in
How many anagrams are there to the word FRIDAY? In how many of these do the letters 'DAY' appear consecutively? (Disregard wheth
QveST [7]

There are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.

<u>Explanation:</u>

FRIDAY is a six letter word.

To form all combinations of letters, we would have six choices of letters to fill the first spot. Whatever letter you choose for the first spot, you then have five choices of letters to fill the second spot. Four choices of letters to fill the third spot. And so on.

So, the total number of different combinations of the six letters would be 6!

6! = 6 X 5 X 4 X 3 X 2 X 1

   = 720

DAY could appear consecutively starting in 4 different spots: the 1st, 2nd, 3rd, and 4th spots of all combinations. DAY will appear consecutively 6 times in each of those 4 starting spots.

6 X 4 = 24.

So, there are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.

7 0
3 years ago
Verify this identity: secx-cosx = 1-cos^2x/cosx
Sauron [17]

Step-by-step explanation:

sec x − cos x

Secant is the inverse of cosine:

(1 / cos x) − cos x

Find the common denominator:

(1 / cos x) − (cos² x / cos x)

Subtract:

(1 − cos² x) / cos x

5 0
3 years ago
An object traveling with an initial constant speed along the y-axis begins to decelerate 4 kilometers before reaching a referenc
balandron [24]

The value that is equal to the average rate of change of the function over the interval is equal is 1 m/s

<h3>The average rate of change</h3>

Given the position of the object expressed as:

y = -t^2 + 3t - 4

In order to calculate the value that is equal to the average rate of change of the function over the interval (0, -4) and (2, -2), we will determine the slope of these two coordinates as shown;

Rate of change = -2-(-4)/2-0
Rate of change = -2+4/2
Rate of change = 2/2

Rate of change = 1 m/s

Hence the value that is equal to the average rate of change of the function over the interval is equal is 1 m/s

Learn more on rate of change here; brainly.com/question/8728504

5 0
2 years ago
This week, Jolene withdrew $225 from her savings account. She made a deposit of $125 then bought $75.35 worth of groceries using
Ulleksa [173]

Answer:

675.7 dollars

Step-by-step explanation:

1) 475.35 + 75.35 + 125 = 675.7

6 0
3 years ago
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest hundredt
Masja [62]

Answer:

75.40 feet

Step-by-step explanation:

For the two small semicircles, the circumference is \frac{1}{2} 2\pi r, or just \pi r. Since the radius is 1/2(16), or 8, the combined circumference of the two semicircles is 16\pi. Now, for the area of the quarter circle in the middle, we see that its radius is 16, and so its circumference is \frac{1}{4} 2\pi r, or \frac{1}{2} \pi 16 = 8\pi. So, the perimeter of the fountain is 16\pi + 8\pi = 24\pi, or about 75.40 feet.

Hope this helped! :)

4 0
3 years ago
Other questions:
  • A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. What is the
    6·1 answer
  • What is a prime factor?
    14·1 answer
  • The total surface area of a cuboid is 112cm^2. find the value of x. values given: 10cm and 2cm.
    9·1 answer
  • For the fair,the organizers ordered 32rolls of tickets.each rollod tickets has 100 tickets.how many tickets were ordered in all.
    11·1 answer
  • How much must you add to -12 to get a number greater than 5?
    10·1 answer
  • What IS 20% of 36.04​
    11·2 answers
  • HELP TwT
    7·1 answer
  • Round 342.296269789 to 2 decimal places.
    8·2 answers
  • Help pleaseee U-U<br> thank you will mark brainly if right <br> the surface area of a triangle!
    14·2 answers
  • Ivanna jogged for 35 minutes.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!