Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.

Answers

Answer 1

Answer:

0.84 = 84% probability that the calculator has a good case and good batteries.

Step-by-step explanation:

We have these following percentages:

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

Using Venn Diagrams:

Event A: Defective Case

Event B: Defecitve Battery

So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]

Probability of at least one problem:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]

Find the probability that the calculator has a good case and good batteries.

No problems, so

[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]

0.84 = 84% probability that the calculator has a good case and good batteries.

Answer 2

The probability that the calculator has a good case and good batteries is 0.84 or 84%

Calculation of the probability:

Since

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

So, the probability is

=  1- (0.08 + 0.11 - 0.03)

= 1 - 0.16

= 0.84

Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%

learn more about probability here: https://brainly.com/question/16404410


Related Questions

mega has 3 weter botels and wants to give each of her friends 4 how many will she need

Answers

Answer:

12

Step-by-step explanation:

3 times 4 is 12

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Cuanto es 28 dividido entre 78976 ​

Answers

Answer:

.00035453808

Step-by-step explanation

Use the linear combination method to solve the system of equations. Explain each step of your solution.
2x-3y=13
2x+4y=-8

Answers

Step-by-step explanation:

Equation 1: 2x - 3y = 13

Equation 2: 2x + 4y = -8

Subtract Equation 1 from Equation 2:

2x + 4y = -8

- (2x - 3y = 13)

=> 7y = -21, y = -3.

Then 2x - 3(-3) = 13, 2x + 9 = 13, x = 2.

The solutions are x = 2 and y = -3.

-5x+3y=15 and 2x-3y= -15

Answers

Answer:

x = 0; y = 5

Step-by-step explanation:

-5x + 3y = 15

2x - 3y = -15

Add the equations to eliminate y.

3x = 0

x = 0

Now plug in 0 for x in the first equation to solve for y.

-5(0) + 3y = 15

3y = 15

y = 5

Answer: x = 0; y = 5

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Answers

It’s 0,, use PEMDAS you welcome

Solve for x:
7x - 3x + 11 = 27

Answers

7x-3x=27-11
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Answer:

-10

Step-by-step explanation:

Sue's bakery sold 850 donuts last week. This week, the number of donuts sold increased 12%. HOW MANY MORE donuts were sold this week as compared to last week

Answers

Answer:

102 donuts

Step-by-step explanation:

12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Write an equivalent expression for x + x + x

Answers

Answer:

x+2x is an equalent expression

Answer:

An equavalent expression is 3x+0

Simplify The expression
-5/8 (-3/8 - 1/4)

Answers

Answer:

25/64

Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

What is the equation?

Answers

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no other deposits or withdrawals, find her account balance after 10 years

Answers

Answer:

80,000

Step-by-step explanation:

$300÷3.75%=8,000×10=80,000

Here”s my answer: 80,000

The volume of a cube is 216 ft^3. What is the length of a side?

Answers

Answer:

54

Step-by-step explanation:

cause a cub has 4 sides so each side is 54

Answer:

The length of a side is 6.

Step-by-step explanation:

Since, the volume of a cube is equal to l*w*h.

V=l*w*h

Volume is equal to side cubed.

V=s^3

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216=s^3

3^√216=s

Answer: 6

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Answers

∠PRQ = ∠STR

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Answer:

0.00139746127868

Step-by-step explanation:

just use a coculator

why don’t you know how to divide lol

Equation A: y = 6x - 1
Equation B: y = 8x - 3

What is the solution (
,
) to the given set of equations?

Answers

Answer:

comparing both the equation,

3X-3=6x-1

or, -2 =3X

or, X= -2/3

Y=6X-1

or, Y= 6× -2/3 -1

or, Y= -4-1

or, Y= -5

hence the required solution is (-2/3, -5)

If 4x-4y=-10 is a true equation,what would be the value of 4x-4y+9

Answers

Answer:

-1

Step-by-step explanation:

4x - 4y = -10

4x - 4y + 9 = -1

5. Select all the expressions that represent the area of the shaded rectangle.
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C
B. 3(c - 10)
3
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10
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Answers

Answer:

Step-by-step explanation:

what shaded rectangle?

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Answers

Answer:

Step-by-step explanation:

Some emoji math, there are more to be solve as well. 15 points for each. Must explain how to get the answers you got.

Answers

Answer:

Ladybug=7

clock= 5

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Step-by-step explanation:

there are a whole row of ladybugs that equal 21. 21/3=7.

on the third row, the value we need is 12, 6 won't work because we also have a bulb. so pug in 5, 5+5=10, that means the bulb is 2.

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Help Now!!Will give brainly!!!

Answers

Answer:

a. 202.5 m³

Step-by-step explanation:

Volume = a² × h/3

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Answers

Answer:

[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]

Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

[tex]f(t) = 1 - cos\ t * cos\ t[/tex]

[tex]f(t) = 1 - cos^2\ t[/tex]

In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

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A box contains five slips of paper. These slips are marked $1, $1, $1, $10, and $25. The winner of a contest will select two slips of paper at random with replacement and will then get the larger of the dollar amounts awarded. Define a random variable W

Answers

Answer:

Random variable set is attached as image. Please see the image

Step-by-step explanation:

The random variable W consist of all possible set of selection of two reward slips

The set consists of total 20 possible outcomes

The set is given in the image attached

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Answers

Answer:

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Step-by-step explanation:

first divide 16 by pi which is 3.14

then divide your answer by 2 after that.

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Answers

Answer:

I think it 25/36.

Step-by-step explanation:

The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.

So 4/9 + 1/4 = 16/36 + 9/36 = 25/36

Jenny measured a total of 10/21 cups of flour.

Given that,
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure is to be determined.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.


What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole. The fraction can be represented in the form of a / b.

Here,
Let, the total measure of the cups of flour be x,

x = 1/7 + 1/3
Taking lcm of the denominator 7, 3 which is 21,
now multiplying the numerators by 3 and 7,
x = (3*1 + 1*7)/21
x = 10 / 21

Thus, Jenny measured a total of 10/21 cups of flour.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

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Answers

Answer:

13" = 13/1" = 13"

Step-by-step explanation:

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Answers

y=22x+100
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Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it. Mekala plans to listen to 270 songs.
Complete the following statement with the best prediction.
Mekala will listen to...
Please choose from one of the following options.

a) Exactly 60 country songs
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Answers

Answer:

answer is B

Step-by-step explanation:

What is the correct distance between A(-8,-4) and point B(3,-4)?

Answers

Answer: 5.099

Step-by-step explanation:

Hope this helps

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Where is the question?
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