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
KonstantinChe [14]
3 years ago
5

A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one

-tenth of 8 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

P(X\leq 1)=P(X=0)+P(X=1)\\P(X\leq 1)=(1-p)^{23}+23*(1-p)^{23-1}*p\\P(X\leq 1)=(1-0.008)^{23}+23*(1-0.008)^{23-1}*0.008\\P(X\leq 1)=0.8313+0.1542\\P(X\leq 1)=0.9855

The probability  that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

You might be interested in
Elijah has some dimes and some quarters. He has a minimum of 18 coins worth at most $3.60 combined. If Elijah has 12 dimes, dete
marysya [2.9K]

Answer:

6

Step-by-step explanation:

So, 12 dimes is 120 cents. 120 cents is $1.20. You said he had 18 coins, and 12 dimes takes away 12 coins. So the only number left is 6. (I think)

3 0
3 years ago
Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.
mars1129 [50]

Answer:

(x-5)^2+(y+2)^2=16

Step-by-step explanation:

lol brainlessly...

General Circle function: (x-h)^2+(y-k)^2=r^2, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.

The radius of the circle is half the diameter so: 8 / 2 = 4

The x-coordinate of the circle is 5

The y-coordinate of the circle is -2

Plug in.

(x-5)^2+(y-(-2))^2=4^2

(x-5)^2+(y+2)^2=16

5 0
3 years ago
A train traveled 210 mi in 3.5 h to its first stop. It then continued on traveling another 130 mi in 2.5 h.
11111nata11111 [884]

Answer:

56.7 ​ mi/h​


Step-by-step explanation:

The formula for average speed is:

Average Speed = \frac{TotalDistance}{TotalTime}


Thus we have:

Average Speed = \frac{210+130}{3.5+2.5}\\=\frac{340}{6}\\=56.66 mph


<em>Rounding to the nearest tenth, we have </em>

Average Speed = 56.7 mi/h

7 0
3 years ago
Read 2 more answers
If the temperature in the Arctic is -13C, but it then rises by 20C, what is the new temperature?
miv72 [106K]

Answer:7

Step-by-step explanation:

all you have to do is subtract 20-13

4 0
2 years ago
What is the value of the digit 4 in the number 84230
Ratling [72]

The value of the digit 4 is worth 4,000 in the number 84,230.
8 0
3 years ago
Read 2 more answers
Other questions:
  • 5(y + 6) + 2y &lt; 4(y+2)
    11·2 answers
  • A grilled chicken salad and a popular food restaurant contain 650 mg of sodium which is 27% of the recommended daily amount what
    13·1 answer
  • 01:55:22
    9·1 answer
  • Toys R Us is having a 38% off sale on all their backpacks. If a backpack normally costs $22.00, how much will it be on sale?
    12·2 answers
  • Using this table, calculate the profit at each level of running shoe inserts production.
    5·2 answers
  • 14) What is the area of the polygon?
    15·1 answer
  • Subtract 5/6-(-4/9)<br><br> Please
    14·2 answers
  • Pls help me with this problem
    10·1 answer
  • Please see image below
    9·1 answer
  • Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!