A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 34 that have no defects. What is the probability that at least one of the 4 calculators in the sample is defective

Answers

Answer 1

Answer:

The answer is "0.7616".

Step-by-step explanation:

Using formula:

[tex]\text{P( at least one de-fective) = 1 - P( all calculators work )}[/tex]

                                          [tex]= 1-(\frac{34}{48}\times \frac{33}{47}\times \frac{32}{46}\times \frac{31}{45})\\\\= 1-(\frac{34}{1}\times \frac{11}{47}\times \frac{1}{23}\times \frac{31}{45})\\\\=1-(\frac{11594}{48647})\\\\=\frac{48647-11594}{48647}\\\\=\frac{37051}{48647}\approx 0.7616[/tex]


Related Questions

Caitlin has a cookie recipe that requires 1.25 pounds of sugar how many grams of sugar does she need

Answers

Answer:

For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.

Your final answer is 567 grams of sugar.

Which expression is equal to the expression below?
(2• 6)4

Answers

Answer:

2 × 6 × 4

Step-by-step explanation:

This can also be written like this.

When Abrams born his parent put $2000 in account that you did 1.2% interest compounded semi annually when he turns 16 in Spain to give him the money to buy a car how much will Abrams you receive on his 16th birthday

Answers

Answer:

$2421.95

Step-by-step explanation:

To calculate the final value from compound interest, we can use the formula

A = P(1+r/n)^(nt), where A represents the final amount, P is the initial amount, r is the rate, n is the number of times compounded per time period, and t is the amount of time.

Here, P is 2000, 1.2% is the rate (to convert to a decimal, we can divide by 100 to get 0.012), n = 2 because it is compounded semi-annually, and 16 is the number of years, or t. Plugging these in, we get

2000(1+0.012/2)^(2*16) = 2421.95

Of the 50 students in cooking club, 30% are in 7th grade. How many actual students are in 7th grade?

Answers

Answer:

15 of them are in 7th grade

Step-by-step explanation:

Pls help!! What is the equation for the line in slope-intercept form​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

Um yeah so ignore the blue circles. I need your helpp ty <3

Answers

Answer:

where is the diagram u there is must must graphic of this or diagram

Answer:

15, 6,0, 11, 7

I'm not sure but hope it helps

Step-by-step explanation:

y=8+7

=15

y=-1+7

=6

y=-7+7

=0

y=4+7

=11

y=0+7

=7

A dump truck is filled with 82.16 pounds of gravel. It drops off 77.29 pounds of gravel at a construction site. How much gravel is left on the truck?

Answers

Answer:

4.87lbs

Step-by-step explanation:

82.16-77.29=4.87

Need help with Pre college

Answers

Answer:

check online for more information

PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]

Answers

Answer:

(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)

Step-by-step explanation:

Solve the proportion. x/6 = 20/24

Answers

X/6 = 20/24

Cross multiply:

24x = 120

Divide both sides by 24

X = 5

Answer: x = 5

log(3+√5) + log(3 - √5) = ?​

Answers

Given that

log (3+√5) + log (3-√5)

We know that

log ab = log a + log b

⇛log [(3+√5)(3-√5)]

This is in the form of (a+b)(a-b)

Where a = 3 and b = √5

We know that

(a+b)(a-b) = a²-b²

⇛log [(3)²-(√5)²]

⇛log(9-5)

⇛log 4

Answer :- log (3+√5) + log (3-√5) = log 4

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witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2 A)log(3) 5+2 log(3)x B)log(3) 5-2 log(3)x C)2 log(3) 5 -log(3)x...

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Please help me ill put the question up for a lot of point, and i will mark as brainliest!!!

Answers

Step-by-step explanation:

(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)

1/(8x⁵y^-7) = y⁷/(8x⁵)

4x^-9y⁴ = 4y⁴/x⁹

so, the whole expression is then

y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹

4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)

so, D is the correct answer.

Evaluate the expression for the given values.
12x+5y/3z, where x + 1/2, y = 6 and z = 3

Answers

Answer:

4

Step-by-step explanation:

Substitute: [tex]\frac{\frac{12}{2} +5*6}{3*3}[/tex]

Cross out the common factor: [tex]\frac{6+5*6}{3*3}[/tex]

Calculate the product or quotient: [tex]\frac{6 +30}{3*3}[/tex]

Calculate the product or quotient: [tex]\frac{6+30}{9}[/tex]

Calculate the sum or difference: [tex]\frac{36}{9}[/tex]

Cross out the common factor: [tex]4[/tex]

Answer: [tex]4[/tex]

12* 1/2 + 5*6/3*3

6 + 30/9

6 + 10/3

6 *3/3 = 18/3

18/3 + 10/3

28/3 = 9 1/3

the answer is 9 1/3

True or false is 6x10^5 is 20 times as much as 3x10^4

Answers

answer

TRUE

HOPE IT WILL HELP YOU


On a game show, a contestant wins $200 by answering questions correctly but loses $300 for
each question answered incorrectly. How much money would a contestant win if she
answered 14 questions correct and I question incorrect?

Answers

Answer:

$2500

Step-by-step explanation:

$200×14=$2800

$2800-$300=$2500

The Diamondbacks softball team orders a new baseball bat and pays $310.30 after tax. The tax rate is 7%. What is the original price of the baseball bat?

Answers

Answer: $255.58

Step-by-step explanation:

$310.30*0.07= $21.721

$310.30-$21.72= $255.579

Round

$255.579 --> $255.58

‍plz help‍ I NEED IT RN PLZ

A quadrilateral has (blank) sides and (blank) angles

A pentagon has (blank) sides and (blank) angles

A cube (blank) faces

Answers

Step-by-step explanation:

A quadrilateral has (four) sides and (four) angles

A pentagon has (five) sides and (five) angles

A cube (six) faces

hope this helps you.

Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 22264 last month, what was her total pay?
a. AED 16921.68
b. AED 24935.68
c. AED 1710
d. AED 2671.68

Answers

Answer:

A

Step-by-step explanation:

Commission: 22264*0.12=2671.68

Total pay: 14250+2671.68=16921.68

The total pay of Sara after adding the commission is: Option A:  AED 16921.68

How to find the net income?

Sara's total pay consists of her basic salary plus the commission on her sales.

Basic salary = AED 14250

Commission on sales = 12% of AED 22264

Commission = 0.12 * 22264

Now, calculate the commission:

Commission = 0.12 * 22264 = AED 2671.68

Total pay = Basic salary + Commission

Total pay = 14250 + 2671.68 = AED 16921.68

So, Sara's total pay is AED 16921.68

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316=5
459=6
248=4
739=?

Answers

Answe

i think it's 9

Step-by-step explanation:

316 fỉst number is 3 +2 =5

459 first number is 4+2=6

2+2=4

7+2=9:)))

The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?

Answers

Answer:

Step-by-step explanation:

The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.

Can someone please help me

Answers

Answer:

all the small nembers x

Step-by-step explanation:

2x2 +5x+8
Given x 3-2, the expression
x+2.
is equivalent to

Answers

Answer:

x=-1

Step-by-step explanation:

so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!

The expression equivalent to the given expression is (2x+1)+6/(x+2)

What is an expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (2x²+5x+8)/(x+2)

From the given options,

Simplifying (2x+1)+6/(x+2), we get,

= (2x+1)(x+2)+6/(x+2

= (2x²+4x+x+6+2)/(x+2)

= (2x²+5x+8)/(x+2)

Since, we get the main expression by solving the option expression,

Hence, the expression equivalent to the given expression is (2x+1)+6/(x+2)

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Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?

Answers

Answer:

3 liters

Step-by-step explanation:

The product of 0.4 and a number is 8 write a mathematical expression to represent the verbal expression. Use n for the variable solve the expression

Answers

Answer:

0.4n = 8

n = 20

Step-by-step explanation:

0.4n = 8

n = 8 / 0.4

n = 20

Find the slope of the line that passes through (28, -25) and (27, 25).

Answers

Slope is the change in Y over the change in X:

Slope = (25- -25) / (27 - 28)

Slope = 50/-1

Slope = -50

I need help with this

Answers

b and c they don’t go through the origin

3x+y=5
2x-y=0
Plsss help i need step by step plsss 9th grade

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

3x + y = 5

y = 5 - 3x

-----

2x - (5 - 3x) = 0

2x + 3x - 5 = 0

5x - 5 = 0

5x = 5

x = 1

-----

3(1) + y = 5

3 + y = 5

y = 2

Step-by-step explanation:

1. you add 3x to the other side to get y=-3x+5

2. then for the other equation you subtract 2x to the other side to get -1y=2x

3.then you divide by -1 to get y=2x

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

WILL GIVE BRAINLIEST!

Answers

Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

In 7 hours, Deandre reads 42 chapters of a book.
What is his rate in chapters per hour?

Answers

Answer:

6 chapters per hour

Step-by-step explanation:

[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]

Hope this helps

( 4 1 ​ + 4 5 ​ ) ^ 2 + 4 3 ​ =

Answers

PEMDAS
(41 + 45) ^ 2 + 43
(86) ^ 2 + 43
7396 + 43
7439

Answer: 7,439

Step-by-step explanation:

(86)^2 + 43

7396 + 43 = 7,439

I'm pretty sure that the other user has the same answer. (godlike74)

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