Some of the cds produced by a manufacturer are defective. from the production line, 5 cds are selected and inspected. how many sample points exist in this experiment?

Answers

Answer 1

Final answer:

There are 32 sample points in this experiment.

Explanation:

In this experiment, the manufacturer selects 5 CDs from the production line to inspect. To determine the number of sample points in this experiment, we need to consider the possible outcomes for each CD. For each CD, it can either be defective or non-defective, meaning there are 2 possible outcomes. Since there are 5 CDs being inspected, we multiply the number of outcomes for each CD by itself 5 times  to find the total number of sample points. Therefore, there are 32 sample points in this experiment.

Therefore, the total number of sample points in this experiment is 32, calculated by multiplying the number of outcomes for each CD (2) by itself 5 times . This accounts for all possible combinations of defective and non-defective CDs in the sample of 5.


Related Questions

Mario baked cookies for the class party. the students ate 3/4 of what mario bought. the students on his bus ate 1/3 of what was left. mario had 6 left when he got home. how many cookies did mario bake?

Answers

Mario baked 36 cookies

Use < , > , or = to compare the numbers. 54 68 70 70 55 930 778 703

Answers

54 < 68 (54 is less than 68)
70 = 70 (70 is equal to 70)
55 < 930 (55 is less than 930)
778 > 703 (778 is more than 703)
54 < 68
68 < 70
70 = 70
70 > 55
55 > 930
930 > 778
778 > 703

I hope this helps! -Wajiha

Patty is inviting her friends to a party. She has 30 snack bars and 45 juice boxes, and she wants to give the same number of each item to each friend. Use the drop-down menus to describe how many friends Patty can invite. At most, Patty can invite friends to the party. If she invites that many friends, each will receive snack bars and juice boxes.

Answers

She would have to invite 15 friends because each friend would get 2 snack bars and 3 juice boxes



Hope this helps

What is the measurement of angle R?

Answers

check the picture below.

make sure your calculator is in Degree mode.

if 161 is 35% of students at school who play sports how many students are at school?

Answers

let's say is "x", so "x" is then the 100%, and we know that 161 is the 35%, alrite then,

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 161&35 \end{array}\implies \cfrac{x}{161}=\cfrac{100}{35}\implies x=\cfrac{161\cdot 100}{35}[/tex]

Find three consecutive odd integers whose sum is 117.

Answers

x+x+x+1+3= 117
3x+4 =117
3x=117-4=113
Therefore x=113/3=37.7( approx)

PLEASE ANSWER QUICK
Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.

Answers

$97.65 x .68 = 66.402 (rounded) 66.40
Issac will pay $66.40.
97.65 / 100 = 0.9765
This finds 1% of 97.65
0.9765 x 68 = 66.402
This finds 68% of 97.65
Isaac will pay $66.40

Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
1. 7.7 hours
2. 13.0 hours
3. 14.3 hours
4. 15.7 hours

Answers

divide 143.00 by 11.00

143/11 = 13

Answer is 2. 13.0 hours

Answer:

Step-by-step explanation:

Byron earns $11.00 per hour.

Lets say he works for x hours

for x hour Byron earn =11x

It is given that

Byron have to work to earn= $143.00

so

11x= 143

x=143/11

x=13

so He must work for 13.0 hours .

An angle measures 150° less than the measure of a supplementary angle. what is the measure of each angle?

Answers

The measure of the angle is 30 degrees

What is a supplementary angle?

A supplementary angle can be defined as an angle that sum up t0 180 degrees.

The two angles must add up to 180 degrees, that is, angles on a straight line.

The properties of supplementary angles are;

The two angles are  supplementary angles when they add up to 180°The two angles together make a straight line, but the angles need not in a place“S” of supplementary angles represents a “Straight” line. This means they form 180°

From the information given, we have that;

The angle measures 150 degrees less of supplementary angles

Then,

180 - 150

30 degrees

Hence, the value is 30 degrees

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The two supplementary angles in question measure 15° and 165° respectively, with one angle being 150° less than the other.

We are given that one angle measures 150° less than its supplementary angle. By definition, supplementary angles add up to 180°. Let's call the angle in question 'A', and its supplementary angle 'B'.

We thus have the following relationship:

A = B - 150°

and

A + B = 180°

Substituting the first equation into the second, we get:

(B - 150°) + B = 180°

This simplifies to:

2B - 150° = 180°

2B = 330°

B = 165°

Now that we know the measurement of B, we can find A:

A = 165° - 150°

A = 15°

So, the two angles are 15° and 165° respectively.

How would I solve
-1+2i / -1-3i

Answers

-1+2i / -1-3i
(-1+2i)(-1+3i) / (-1-3i)(-1+3i)
1-5i+6i² / 1-9i²
-5-5i / 10
-5/10 - 5i/10
-1/2 - 1i/2

What happens when you multiply 2 negative numbers?

Answers

1) either you'll get a negative number
Or
2) You'll get a positive Number..
But I'm guess you'll get a positive number
The result is a positive number. Negative times negative is a postive

What is the benefit of using statistical sampling versus nonstatistical sampling?

Answers

Statistical sampling: Uses laws of probability for selection and evaluation of a sample. Allows for quantification of audit risk and sufficiency of audit evidence. Nonstatistical sampling: Does not utilize statistical models in calcualtions. Uses a non-mathematical approach to determine sample sizes and evaluate the selected samples.

BRAINIEST AND YOU WILL GET 10 POINTS!

What is the value of p in the equation 4p + 3(p + 4) = 12p + 12?
12, 1, 0, -1.

Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
3x = 9, 3x = 1 , 11x = 9, 11x = 1

What is the value of z in the equation 3z + 5 = 4z − 8?
13, 1, -13, -1

The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:

Step 1: 3(4x − 2) = 9 + 2x + 5
Step 2: 12x − 2 = 14 + 2x
Step 3: 12x − 2x = 14 + 2
Step 4: 10x = 16
Step 5: x = 1.6

In which step did the student first make an error and what is the correct step?


Step 2: 12x − 2 = 4 + 2x

Step 2: 12x − 6 = 14 + 2x

Step 3: 12x + 2x = 14 + 2

Step 3: 12x − 2x = 14 − 2

Answers

1 - The value of p in the equation is p = 0.

2 - The simplified form of the equation is 3x = 1, the reason behind this is when you do the equation, you get x = 1/3. When you do the equation 3x = 1 you get x = 1/3 as well.

3 - The value of z in the equation is z = 13.

4 - In order to figure out what step he did something wrong on, we first need to solve the problem, the answer we will get is x = 2.
To do this the easy way, we can solve each step, and see what one wouldn't equal 2, which the step he did wrong is Step 2.
So, to do Step 2 correctly, it would be: Step 2 - 12x − 6 = 14 + 2x.

What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.

Answers

a^2 +b^2 = (2.5sqrt(2))^2

2a^2 = 6.25 *2

a^2 = 6.25

a = sqrt(6.25)

a = 2.5

 length of each side = 2.5 units

Help plz
What is the approximate distance between points A and B?

A 3.61
B 9.22
C 10.35
D 12.62

Answers

Answer:

B 9.22

Step-by-step explanation:

Hello

to find the distance, you can use the distance between two points equation

Given

[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})\\\\the\ distance(d)\\\\D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\[/tex]

Step 1

define

[tex]P1=A=(4,3)\\P2=B=(-2,-4)\\[/tex]

Step 2

put the values into the equation

[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\D=\sqrt{(-2-4)^{2} +(-4-3)^{2} }\\ D=\sqrt{(-6)^{2}+(-7)^{2} }\\ D=\sqrt{36+49} \\D=\sqrt{85} \\D=9.22[/tex]

the distance between the points is 9.22 ⇒B

Have a great day

the answer you are looking for is....

B 9.22

Carly is making 3 and 1/2 batches of biscuits. If one batch calls for 2and 1/3 cups of flour, how much flour will she need?

Answers

She will need 8 q/6 cups of flour. Hope this helped! :)

Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.

Answers

Answer:

a. They are same side interior angles. Angle A measures 55°.

They are same side interior angles. Angle A measures 55° which is correct option(A).

What are Interior angles?

Interior angles is defined as those that lie inside a shape, or those that are located in the region enclosed by two parallel lines that cross each other at a horizontal angle.

What are Alternate Interior Angles?

Alternate Interior Angles is defined as these angles are created when a transversal intersects two parallel lines. The opposing sides of the transversal produce this non-adjacent pair of angles.

What are Vertical angles?

Vertical angles is defined as when two lines meet each other at a point. They are always equal to each other, In other words, four angles are created anytime two lines cross or intersect.

What are corresponding angles?

Corresponding angles is defined as any pair of angles that are both on the same side of the transversal and of one of the two lines that it intersects.

Given angle measure as 125°

Therefore, they are same side interior angles. Angle A measures 55°.

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Which equation could be used to solve the given problem: if three times a number is increased by 24, the result is 4 less than seven times the number?

Answers

3x+24=7x-4 I think. Blah blah blah

The equation of the given problem would be 3x + 24 = 7x - 4 and the solution is 7.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given that "if three times a number is increased by 24, the result is 4 less than seven times the number"

Let the number be x then we have;

three times a number means 3x

seven times the number means 7x

Therefore, the equation will be;

3x + 24 = 7x - 4

Now solving for x unknown number;

3x + 24 = 7x - 4

24 + 4 = 7x -3x

28 = 4x

x = 7

Hence, the equation of the given problem would be 3x + 24 = 7x - 4, and the solution is 7.

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A gas station sells regular gas for $2.30 per gallon and premium gas for $3.00 a gallon. at the end of a business day 250 gallons of gas had been sold, and receipts totaled $631. how many gallons of each type of gas had been sold?

Answers

quantity of $2.20 fuel = total quantity - quantity of $3.00 fuel. However .... As an example, suppose we had 80 gallons if the $3.00 gas. Then it ... From this you can observe that the quantities ofeach type of gas are directly linked. ... If we have none of this then we have all of the 280 gallons as the $2.20 gas.

PLEASE HELP FOR BRAINIEST ASAP!!


Draw two isosceles triangles, ∆ABC and ∆ADC with common base AC. Vertexes B and D are in the opposite semi-planes determined by AC. Draw the line segment BD. Prove: AC ⊥ BD.

Answers

suppose AC and BD intersect at E
ΔABC is isosceles triangle     Given
AB=CB                                   Definition of isosceles triangle
ΔADC is isosceles triangle     Given
AD=CD                                   Definition of isosceles triangle
BD=BD                                    Reflexive property
ΔBAD=ΔBCD                          SSS theorem
∠ABE=∠CBE                           CPCTC
∠BAE=∠BCE                          Definition of isosceles triangle
ΔABE=ΔCBE                          ASA theorem
∠AEB=∠CEB                          CPCTC

∠AEB+∠CEB =180                Linear pair of angles are supplementary
∠AEB=∠CEB =90                  Algebra

∠AEB is a right triangle         Definition of right triangle
AC ⊥ BD                                Definition of perpendicular 

Newton uses a credit card with a 18.6% APR, compounded monthly, to pay for a cruise totaling $1,920.96. He can pay $720 per month on the card. What will the total cost of this purchase be?

Answers

You should ask your parent/guardian or teacher if needed! Merry Christmas!
The principal is $1920.96 . APR 18.6% . Interest is compounded monthly . Formula for compound interest is A = P (1+r/t) ^n(1/t) P = principal amount (the initial amount you borrow) which is $1920.96 r = annual rate of interest (as a decimal) = 0.186 t = period A = amount of money accumulated after n years, including interest. n = number of times the interest is compounded per year = 12 times . A = P (1+r/t) ^n(1/t) A = 1920.96*(1+0.186/12)^12(1/12) = 1920.96(1+1.0155) = 1951.04 which is the total cost of this purchase.

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm

Answers


x + y  = 24       where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24. 
x^2 + z^2 = 13^2
y^2 + z^2  = 20^2            where z  = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2  = 20^2 - 13^2  =  231
 now y = 24-x so we have

(24 - x)^2    - x^2 = 231

576 - 48x = 231

48x = 345

x =  7.1875

z^2  =  13^2 - 7.1875^2 =  117.34
z =  1.83

so smaller diagonal = 21.66 cm


looks like its the third choice.



The length of the other diagonal, DF is 44 cm.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Since the kite has two pairs of congruent adjacent sides, we know that the diagonals of the kite are perpendicular bisectors of each other.

Therefore, we can use the Pythagorean theorem to find the length of the other diagonal DF.

Let x be the length of the other diagonal, DF.

We know that one diagonal EG has a length of 24 cm, so we can use the Pythagorean theorem to find the length of the perpendicular bisector of EG, which is half of DF.

By the Pythagorean theorem, we have:

[tex](20/2)^2 + (x/2)^2 = 24^2\\100 + (x/2)^2 = 576\\(x/2)^2 = 476\\x/2 = \sqrt(476)\\x = 2 \times 21.86\\x = 43.72\\x = 44[/tex]

Therefore,

The length of the other diagonal DF is 44 cm

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∠DAC and ∠CAB are adjacent. m∠DAC = 53°, m∠DAB = 64°. What is the measure of ∠CAB?
A) 11°
B) 117°
C) 53°
D) 64°

Answers

∠CAB = m∠DAB - m∠DAC
∠CAB = 64 - 53
∠CAB = 11

answer

A) 11°

Holes drilled several kilometers into Earth’s crust provide direct evidence about Earth’s interior in the form of a. seismic waves. b. rock samples. c. liquid iron. d. volcanic eruption. Please select the best answer from the choices provided A B C D

Answers

its B rock samples the others you cant find evidence about the interior of earth by drilling holes into the crust

Answer:

b. Rock Samples

Explanation:

Rock samples are obtained by drilling with special drills into the substance.

So, holes drilled several kilometers into Earth's crust provide direct evidence about Earth's interior in the form of a rock samples.



Somebody help me on this real quic plz

Answers

Basically you are just multiplying 2 with the x-values. So...
x    y
0 = 0
1 = 2
2 = 4
3 = 6
5 = 10
I hope this helps love! :)

What is the equation in point-slope form for the line parallel to y = -2x + 10 that contains J(6, 8)?
a. y - 8 = -2(x - 6)
b. x - 8 = 2(y - 6)
c. y - 8 = 2(x - 6)
d. y + 8 = -2(x - 6)

Answers

in the equation y=mx+b

m = slope
b = y-intercept
x = variable
y = what you get

Answer: Hello mate!

A linear equation has the form y = ax + b

where x is the variable, a is the slope and b is the x-intercept.

We want to find the pararel line to y = -2x + 10

A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:

y = -2x + b

and we know that this line pases through the point (6,8), and with this info we could find the value of b:

8 = -2*6 + b

b = 8 + 12 = 20

then y = -2x + 20 is the pararel line that passes through the point (6.8)

Then the correct answer is the option a:

a) y - 8 = -2(x - 6) = -2x + 12

y = -2x + 12 + 8 = -2x + 20

Mrs. hensen cataloged a group of incoming library books in 8 hours. mr. taylor can catalog the same number of books in 4 hours. mrs. phillips can catalog them in 6 hours. how long would it take if they all worked together?

Answers

Let n = the number of books.

Mrs. Hensen's working rate is
x = n/8  books/h
Mr. Taylor's working rate is
y = n/4 books/h
Mrs. Phillip's working rate is
z = n/6 books/h

When they work together, they can catalog n books in
(n books)/(x+y+z books/h)
= n/(n/8 +n/4 + n/6)
= 1/(1/8 + 1/4 + 1/6)
= 1/(13/24)
= 24/13 hours

The time required is 24/13 h = 1.8462 h = 1 hour, 51 min

Answer: 1.8462 hours (or 1 hour, 51 minutes)

Find the tangent of the angle in standard position in which the terminal side passes through the point (3,4)

Answers

tangent of the angle  = 3/4

angle =   36.87 degrees

Is the following relation a function? {(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}

Answers

A function will not have any repeating x values...it can have repeating y values, just not the x ones. So all ur x's have to be different.

This relation is NOT a function because u have repeating x values...u have 2 x values that are 0.3

Answer:

No, the given relation is not a function.

Step-by-step explanation:

Consider the given relation

[tex]\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\}[/tex]

We need to check whether the given relation is function or not.

A relation is a function if there exist a unique value of y for each value of x.

In the given relation, for x=0.3 there exist more than one value of y.

y=0.6 at x=0.3

y=0.7 at x=0.3

For one input there exist more than one output. Therefore, the given relation is not a function.

Given m∠P = 38° and m∠O = 70°, find m∠1.

38
72
108
142

pls

Answers

In a triangel are all corners together 180 degrees:
180 - 38 - 70 = 72
all corners P O 1

ANSWER:The last corner is 72 degrees big.

Answer:

The answer is m∠1 = 72°

Step-by-step explanation:

One of the properties of a triangle is that all the angles of the triangle must add up to 180°.

Therefore:

m∠P + m∠O + m∠1 = 180°

Given that:

m∠P = 38° and m∠O = 70°

We can conclude that:

38° + 70° + m∠1 = 180°

m∠1 = 180° - 38° - 70°

m∠1 = 72°

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