The probability that a battery will last 10 hours or more is 80%, but the probability that a battery will last 15 hours or more is only 15%. What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more

Answers

Answer 1

Answer:

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Lasting 10 hours or more.

Event B: Lasting 15 hours or more.

The probability that a battery will last 10 hours or more is 80%.

This means that [tex]P(A) = 0.8[/tex]

Probability of lasting 10 hours or more and 15 hours or more.

This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).

The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]

What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.


Related Questions

help asap will be marked BRAINIEST

Answers

Answer:

∠BAC = 75°

Step-by-step explanation:

just subtract angle BAD from angle CAD

BAC=75

Just subtract angle BAD From Angle CAD

PLS ANSWER RNN
What is the value
of x?

A. 5
B. 8
C. 11
D. 12

Answers

Answer:

A.5 i think it is!

byee have a nice day

What is the volume of this cube?

Answers

Answer:

1 cubic ft

Step-by-step explanation:

Volume = Length × width × height

= 1 × 1 × 1

= 1

Answer:

1 cubic ft

Step-by-step explanation:

Volume = l × w × h

= 1 × 1 × 1

= 1 cubic ft

What is the slope of a line that runs through (-2,4) and (3,7)

Answers

Answer: m=0.6

Step-by-step explanation:

Use the m= y2-y1/x2-x1 formula to calculate slope.

7-4=3

Divided by

3-(-2)=5

3/5= 3/5 or 0.6

Answer:

slope = 3/5

Step-by-step explanation:

slope  = rise/run

---------------------------

y rises from 4 to 7 = 3

x runs from -2 to 3 = 5

slope = 3/5

please helpppppppppppppp

Answers

Answer=A

Area=Length ×Breath

Length=2cm

Breath=5cm +4cm=9cm

area = 2cm ×9cm=18cm square

A box contains six black pens, four blue pens, and seven red pens. Without
looking, Clarissa randomly picks a red pen out of the box. If she chooses
another pen out of the box without replacing the first one, what is the
probability that she will pick a red pen next time? Write your answer as a
percent rounded to the nearest tenth.

Answers

21 total pens

- 1 red pen

20 pens total

6/20 red pens left

6/20 = 3.3333

= 3.3

Evaluate 4x - y if x = 3 and y = 6

Answers

Answer:

The answer is 6

Step-by-step explanation:

4 (3) - 6

12 - 6

= 6.

hope this helps! feel free to clarify

Describe the relationship of the formula.
y = kx

Answers

If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another

In order to complete the square for the equation below, what value should be added to both sides of the equation?
x2 - 8x + ? = 42 + ?

Answers

Answer:

? = 16

Step-by-step explanation:

x2 - 8x + ? = 42 + ?

1. Take the coefficient of the middle term 8x, which is 8 and divide it by 2.  [tex]\frac{8}{2} = -4[/tex]. Then square it  [tex]-4^{2} = 16[/tex]

2. Take 16 and add it to both sides: [tex]x^2 - 8x + 16 = 42 + 16[/tex]

2. Take half of the coefficient 8 that you divided by 2, which is 4 and insert 4 into the equation [tex](x -4)^2 = 58[/tex]

3. ? = 16

Help will be appreciated I need help with math

Answers

3. (-12,4)
4. (0,-14)
5. (14,0)
6. (0,0)

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim

Answers

Answer:

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Step-by-step explanation:

The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.

At the null hypothesis, we test if the proportion is of 44%, the stated value. So

[tex]H_0: p = 0.44[/tex]

At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So

[tex]H_1: p < 0.44[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.44 is tested at the null hypothesis:

This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.

This means that [tex]n = 1600, X = 0.43[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]

[tex]z = -0.81[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.

Looking at the z-table, z = -0.81 has a p-value of 0.209.

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

HELPPP PLSS ILL GIVE BRANILEST!!!

Answers

Answer:

either 22/60 or .3666 recurring

Step-by-step explanation:

All you are doing is converting minutes to hours basically, so all you have to do is divide 22 by 60.

!!!! URGENT evaluate the geometric series below !

Answers

Answer:

C

Step-by-step explanation:

S(6)= -2(1-(-3)^6)/1-(-3)

PLEASE HELP ME !

Lance baked brownies for a school bake sale. The shaded figures stand for the brownies sold.

Part A What mixed number do the shaded portions stand for? Use what you know
about mixed numbers to explain why your answer is correct.

Answers

The mixed number would be 4 1/3, this is because of the 5 trays of brownies, 4 entire ones were sold which means only a fraction of the 5 one was sold. (4 out of 12) 4/12 could be simplified by dividing the top and bottom with 4 which leaves us with 4 1/3

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

Explain how you determined your formula.

Answers

Answer:

2 + 3x(N-1) = Amount of money donated

Step-by-step explanation:

Since Aaron participates in a walkathon for charity, and he has a sponsor who has pledged a base donation of $ 2 for the first mile he walks and then a certain dollar amount for each additional mile he walks, and based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $ 23 to the charity, to determine a formula that can be used to determine the amount of money this sponsor donates when Aaron walks N miles the following equation should be raised:

2 = fixed amount in the first mile

2 + ((23 - 2) / (8-1)) x (N-1) = Amount of money donated

2 + (21/7) x N = Amount of money donated

2 + 3x (N-1) = Amount of money donated

Thus, if N is 8, as in the example, the quantity is determined as follows:

2 + 3x (8-1) = X

2 + 3x7 = X

2 + 21 = X

23 = X

Francine is playing a board game with her friends. She needs to roll two dice
and get a total greater than ten to win the game on the next roll. What is the
probability that she will not win on the next roll?

Answers

10/12 = 5/6 probability that she will not win on the next roll

) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]

Answers

Answer:

The rate of decreasing of the length is 0.25 cm/s.

Step-by-step explanation:

The surface area of the ice cube is:

[tex]A_{ice}=6x^{2}[/tex]

Where x is the side of the cube.

Let's take the derivative of A with respect to "t" to get the rate of change.

[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]

We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.

[tex]6=12(2)\frac{dx}{dt}[/tex]

[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]

Therefore, the rate of decreasing of the length is 0.25 cm/s.

I hope it helps you!

Can someone help me please?

Answers

Answer:

.08

Step-by-step explanation:

Answer:

Hi, there your answer is 0.08

Step-by-step explanation:

Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3

Answers

Pretty sure it’s B. -1/3, hole this helped!

Find the volume. If you have any problems please tell me thank you.

Answers

Answer:

Step-by-step explanation:

Formula = V = l x w x h

V = 4.25 x 2.75 x 5

V = 58.438 --> 58.44

Hi plz help, if you can ill mark you 5 starz! :)

Answers

Answer:

Part A = A

Part B - 308

308 cubic feet


Hope you have a wonderful day

A tube-feeding formula is administered to a patient via Gastrostomy at 75
ml/hr. The formula contains 6.5% protein. How much protein will the patient
receive in the entire day, if the feeding must be held (stopped) for 2 hours
before and 2 hours after the administration of Dilantin twice a day?
39

Answers

Answer:

97.5ml protein

Step-by-step explanation:

20hr * 75ml/hr = 1500ml

1500ml * .065 = 97.5ml protein

The patient will receive 78 ml protein in the entire day.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Tube feeding formula = 75 ml/hr

Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr

Protein content = 4.875 ml/hr

Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day

So, Stoppage total hours = 2(2 + 2) = 2*4

Stoppage total hours = 8

Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours

Thus Protein received by patient = 16hr * 4.875 ml/hr

Protein received by patient = 78 ml

Thus, the patient will receive 78 ml protein in the entire day.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

____ 2. The set of numbers {9, 8, 7, …}
A. x > ‐4
B. x < ‐4
C. x >_ ‐4
D.x <_ ‐4

Answers

Answer:

A. x > -4

Step-by-step explanation:

< less than

>greater than

the unknown number x is greater than -4

{9, 8, 7, ...} the number is counting down. So the next number is 6.

is 6 greater than -4

or less than -4

therefore

x(which is 6) is greater than -4

x > -4

Answer:

c

Step-by-step explanation:

-2x + 9y = 2
4x - 18y = -4

Answers

Answer:

6x + 27y = -6

Step-by-step explanation:

i looked it up sooo sorry if its wrong lol

A skateboard ramp rises 2 feet for every 7 feet measured horizontally. What is the slope​?

Answers

Hopes this helps:

Answer: 2/7

Find the area of the shape shown below...

Answers

Answer:

[tex]240~sq~units[/tex]

-----------------

[tex]1/2*base*height+base*height[/tex][tex]=1/2*20*4+20*10[/tex][tex]=40+200[/tex][tex]= 240[/tex]

----------------------

hope it helps...

have a great day!!

What is the range of possible sizes for side x?

Answers

Answer:

x = 3.96

Step-by-step explanation:

To find the missing side length you'll need the formula a^2 + b^2 = c^2

a and b would be the shorter ends, 2.8 and 2.8

c would be the longer end that's opposite the right angle.

so substitute values

2.8^2 + 2.8^2 = c^2

7.84 + 7.84 = c^2

15.68 = c^2

√15.68 = √c^2

3.959797 = c

c = 3.96

side c would be side x so x is 3.96

Solve for x. 4/x + 3/x =14 answer choices is 2,-2,1/2,3/7,1/4

Answers

Answer:

=1/2

Step-by-step explanation:

i hope i'm right

pls help!! correct answer will be marked brainliest

Answers

Answer:

67.7

Step-by-step explanation:

Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!

Estimate the solution to the following system of equations by graphing. 3x + 5y = 14
6x - 4y = 9

Answers

Step-by-step explanation:

hope helps u

have a nice day

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