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
maxonik [38]
3 years ago
6

A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to

have oil added. If this is true (and assuming cars arriving independently), find the probability of each of the following:A. One out of the next four cars needs oil.B. Two out of the next eight cars needs oil.C. 5 out of the next 20 cars needs oil.
Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319

You might be interested in
What is the width of the rectangle shown below? <br>4x + 3 <br>A = 8x2 – 10x – 12
ozzi

Answer:

<h2><em>2x-4</em></h2>

Step-by-step explanation:

Area of a rectangle = Length * Width

Given parameters

Area A = 8x2 – 10x – 12

Length of the rectangle = 4x+3

Required

Width of the rectangle.

Substituting the given parameters into the formula

8x2 – 10x – 12  = (4x+3)*width

width = 8x2 – 10x – 12 /4x+3

S

Factorizing the numerator

8x² – 10x – 12

= 2(4x²-5x-6)

= 2(4x²-8x+3x-6)

= 2(4x(x-2)+3(x-2))

= 2(4x+3)(x-2)

Width = 2(4x+3)(x-2)/4x+3

Width = 2(x-2)

Width = 2x-4

<em>Hence the width of the rectangle is 2x-4</em>

8 0
3 years ago
There are 45 people waiting in line to ride the carousel. If the carousel can hold 40 people, how many people will have to wait
tangare [24]

Answer:

5 people

Step-by-step explanation:

This is a subtraction problem.

45 - 40 = 5

3 0
3 years ago
PLEASE HELP!!! How much blueberry pie will each person get if 4 people share one half of the pie equally?
Rasek [7]

Answer:

Each person gets one eighth of the pie.

Step-by-step explanation:

1/2 pie divided by 4.

1/2 / 4 = 1/2 / 4/1 = 1/2 × 1/4 = 1/8

Answer: Each person gets one eighth of the pie.

8 0
2 years ago
Read 2 more answers
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader
Sedaia [141]

Answer:

6.67 yards

Step-by-step explanation:

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?

Please note that:

1 foot = 0.333 yard

20 feet = x yards

Cross Multiply

1 foot × x yards = 20 feet × 0.333 yards

x yards = 20 feet × 0.333 yards/1 foot

x yards = 6.66667 yards

Approximately = 6.67 yards

Therefore, the measurements in yards is 6.67 yards.

7 0
2 years ago
Adding and Subtracting Fractions Solve each problem. Write your answer as a mixed number(if possible) 1. 2 1/9 - 7/6= 2. 2/3 + 2
AleksandrR [38]
1) 1 1/6
2) 1  1/6
4) 5  1/ 18

hope you got your answer i didn't know what number 3 was so i did the rest


5 0
2 years ago
Other questions:
  • Jeanine bought a new pair of hiking boots on sale door 15% off the regular price. If the regular price was $115.00, how much did
    8·1 answer
  • Is y=6x-8 a linear function
    12·2 answers
  • Negative three times a number is at least nine
    7·1 answer
  • In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc
    12·1 answer
  • A window shaped like a paralleogram has an area of 18 1/3 square feet. The height of the window is 3 1/3 feet. How long is the b
    13·1 answer
  • What percent of Benny's age is his mom's age if Benny is 12 years old and his mom is 48 years old?
    13·2 answers
  • Neeed Help plz ??? Someone help me out
    7·1 answer
  • HELPPPGPTPPFPPZPSKZJZ
    8·1 answer
  • một máy bay đang bay ở độ cao 1700m.Từ đài quan sát người ta nhìn thấy máy bay dưới 1 góc 25° so với mặt đất.Tính khoảng cách từ
    7·1 answer
  • 18000 divided by 67= ?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!