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
IrinaVladis [17]
3 years ago
9

A factory makes car batteries. The probability that a battery is defective is 1/14. If 400 batteries are tested, about how many

are expected to be defective?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

28.6, that is, about 29 are expected to be defective

Step-by-step explanation:

For each battery, there are only two possible outcomes. Either it is defective, or it is not. The probability of a battery being defective is independent of other betteries. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The probability that a battery is defective is 1/14.

This means that p = \frac{1}{14}

400 batteries.

This means that n = 400

How many are expected to be defective?

E(X) = np = 400*\frac{1}{14} = 28.6

28.6, that is, about 29 are expected to be defective

You might be interested in
Jamima said that the vertex of the equation g(x)=-2(x+1)^2-4 is (-1,-4). is she correct?
Bond [772]
Yes, the vertex is h, k
6 0
2 years ago
Whats the missing varible for the following questions ​
marta [7]

Answers + Explanation:

1. x + 7 =10

if you know some number + 7 is 10, you know that number must be 3.

so, x = 3

the other way you can solve this would be:

x + 7 = 10

subtract 7 from both sides of the equation

x + 7 - 7 = 10 - 7

x = 3

2. Use the same strategy:

x - 8 = -5

add 8 to both sides of the equation

x - 8 + 8 = -5 + 8

x = 3

3. x + 3 = 6

subtract 3 from both sides of the equation

x + 3 - 3 = 6 - 3

x = 3

4. x + 6 = 3

subtract 6 from both sides of the equation

x + 6 - 6 = 3 - 6

x = -3

7 0
2 years ago
YOU WILL GET BRAINLIST
leonid [27]

Answer:

1. x = 6

2. x = 25

3. x = 32

4. x = 8

5. x = 7

6. x = 7

Step-by-step explanation:

ur welcome

6 0
2 years ago
Read 2 more answers
You know of a relative who is addicted to pain killers. Due to his history, 2.3g of Tylenol per day is dangerous. He takes 200 m
Nezavi [6.7K]

Answer: So, your relative takes N tablets each 6 hours. a day has 24 hours, and 24/6 = 4, so he takes N tablets 4 times per day, so he takes 4*N tablets.

each tablet has 200mg, and 2.3 g (or 2300 mg) is toxic.

this means that 4*N*200mg must be less than 2300, if we are seeking for the maximum N possible, then:

4*N*200mg = 2300mg

4*N = 2300/200 = 11.5

N = 11.5/4 = 2.87

if you round up this number, you will end up taking more than 2.3g of tylenol per day, this implies that N must be equal to 2.

So your relative needs to take maximum 2 tablets per day.

7 0
2 years ago
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the x-intercept of the line containing the point (-6,10) and (12,-2)?
    13·2 answers
  • What is the number has 8 zeros in it
    8·1 answer
  • Does anyone know the answers???
    14·2 answers
  • Graph 12345 then try to use them numbers to make a straight line on the graph
    14·2 answers
  • Each of the windows has an area of 2,160 inches with a length of 60 inches. What is the perimeter of each window ?
    15·2 answers
  • Can some help me with this math problem
    5·1 answer
  • 1/9 * 1/2 ^ 4 (as a fraction)
    6·1 answer
  • Which expressions are equal to
    10·1 answer
  • SOMEBODY HELP PLS
    6·2 answers
  • 18 is what percent of 32? Round to the nearest tenth.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!