You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that consists of 20 Type A bolts, 20 Type B bolts, and 20 Type C bolts. At random, you take 10 bolts out of the container. Determine: A) The probability you took the exact number of Type A bolts you need for your 5 assemblies. B) The probability you did not take enough Type A bolts that you need for your 5 assemblies. C) The probability you took more Type A bolts than you need for your 5 assemblies.

Answers

Answer 1

Answer:

Step-by-step explanation:

You are to make 5 assemblies.

Each assembly requires the use of 1 Type A bolt.

To make the 5 assemblies, you need 5 Type A bolts.

The container of bolts has a total of 60 bolts.

The focus - Type A bolts - is 20 out of this 60.

The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3

(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?

- The exact number of Type A bolts you need for the 5 assemblies is 5

1/3 × 5/10 =  5/30 =  1/6 =  0.167

(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:

1/3 × 4/10 = 0.133

1/3 × 3/10 = 0.1

1/3 × 2/10 = 0.067

1/3 × 1/10 = 0.033

1/3 × 0/10 = 0

TOTAL = 0.333


Related Questions

A wire that is centimeters long is shown below.

The wire is cut into two pieces, and each piece is bent and formed into the shape of a square.

A wire that is centimeters long is shown below.The wire is cut into two pieces, and each piece is bent

Answers

Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

Define a square?

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

To know more about square, visit:

https://brainly.com/question/28776767

#SPJ1

What is the square root of 598?

Answers

the square root of 598 is 24.4540385

1) Find the mean of the following numbers: 5, 11, 8, 8, 7, 4, 10, 9, 7, 7, 6​

Answers

Mean = 5+11+8+8+7+4+10+9+7+7+6 divided by the number of observations which is 10

Therefore, mean = 73/10
Mean = 7.3

A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.

A company created a new container in the shape of atriangular prism that will hold sunflower seeds. A

Answers

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard

Answers

The area of Kacie's yard is 455.6 square feet (33.5 feet x 13.6 feet = 455.6 sq ft).

3. Manny's weekly wage as a welder are $520.75. He is single and claims 3 allowances. What amount is
deducted for federal taxes?

Answers

If  he is single and claims 3 allowances. The amount deducted for federal taxes is $39.8

Federal taxes

Federal tax withheld:

Federal tax withheld =6.2% social security + 1.45% Medicare

Federal tax withheld = 7.65%

Deduction:

Deduction= 0.0765 × $520.75

Deduction=$39.8

Therefore the amount deducted for federal taxes is $39.8

Learn more about federal taxes here:https://brainly.com/question/17354124

#SPJ1

What is the definition of perpendicular lines?

1.two lines that intersect in a way that forms right angles

2.two lines that intersect in a way that cuts both lines in half

3.two lines that intersect in a way that they share more than one common point

4.two lines that intersect in a way that forms two congruent angles

Answers

Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

Subtract 5 - 4i from 19 - 3i.

Answers

Answer:

Step-by-step explanation:

19 - 3i - 5 + 4i

14 + i

Find the distance traveled in 25 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t) feet per second

Answers

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

Distance

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

Find the distance traveled in 25 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

Learn more about distance here:

brainly.com/question/28304899

#SPJ1

You are starting your first job as a salesperson at a clothing store. You receive a base salary of $10.00 per hour with time-and-a half for hours in excess of 40 hours per week. You also receive a 3% commission on your total sales.

Calculate your paycheck if you work 40 hours both weeks, plus you sell $3,000 worth of merchandise.

a
800
b
830
c
890
d
970

Answers

The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

How is the paycheck calculated?

The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.

Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.

Data and Calculations:

Base salary = $10.00 per hour

Overtime pay = 1.5 of the base salary per hour

Work week = 40 hours

Commission on total sales = 3%

Sales for a month = $3,000

Commission on $3,000 sales = $900 ($3,000 x 3%)

Base salary for two weeks = $800 ($10 x 40 x 2)

Paycheck = $890 ($800 + $900)

Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

Learn more about calculating paychecks at https://brainly.com/question/14972403

#SPJ1

solve ~
\(x {}^{2} - 5x + 6 = 0\)

thankyou ~​

Answers

Answer:

x = 3, 2

Explanation:

x² - 5(x) + 6 = 0

breakdown

x² - 3(x) - 2(x) + 6 = 0

takeout common terms

x(x - 3) - 2(x - 3) = 0

factor

(x-3) ( x-2) = 0

simplify

(x-3)=0, ( x-2) = 0

final answer

x = 3, 2

I need help asap I’ll also give brainliest

I need help asap Ill also give brainliest

Answers

Answer:

15

Step-by-step explanation:

Find the distance represented by 4.9 inches if 1 inch = 50 miles.

Answers

Answer:

245 miles

Step-by-step explanation:

To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.

Find the distance represented by 4.9 inches if 1 inch = 50 miles.

Answer:

4.9 inches = 7.73359e-5 miles

Step-by-step explanation:

:)

Round 143.596 to the nearest hundredth

Answers

Answer:

143.6

Step-by-step explanation: i swear its right

Need help pleasee.

Using Rational Zero Theorem


Consider the function f(x)=2x^3-8x^2+5x+3


List all the possible rational zeros of f based on the Rational zero Theorem

Answers

The possible rational zeros of f are:

±1/1, ±3/1, ±1/2, ±3/2

What is the Rational Zero Theorem?

The Rational Zero Theorem states that if a polynomial function f(x) has integer coefficients, then every rational zero of f has the form p/q, where p is a factor of the constant term of f and q is a factor of the leading coefficient of f.

In the case of the function f(x) = 2x³ - 8x² + 5x + 3, the constant term is 3 and the leading coefficient is 2. Therefore, the possible rational zeros of f are of the form:

p/q, where p is a factor of 3 and q is a factor of 2.

The factors of 3 are 1 and 3, and the factors of 2 are 1 and 2. Therefore, the possible rational zeros of f are:

±1/1, ±3/1, ±1/2, ±3/2

These are the possible rational zeros of f(x) based on the Rational Zero Theorem. However, not all of them may be actual zeros of f(x).

To determine which of these possible zeros are actual zeros of f(x), we can use synthetic division or other methods to test each possible zero.

Therefore, the possible rational zeros of f are:

±1/1, ±3/1, ±1/2, ±3/2

To learn more about the Rational Zero Theorem visit:

https://brainly.com/question/28828052

#SPJ1

Arătati ca numărul ab1 + a1b + 1ab

Answers

Answer:

a plus b equals 9923

Step-by-step explanation:

What is the value of the expression 2,160/30

Answers

Answer:

72

Step-by-step explanation:

Find the area of the polygon

Find the area of the polygon

Answers

Answer:

Area of a regular polygon formulas

Step-by-step explanation:

area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides)

area = perimeter * ri / 2 , given ri and polygon perimeter.

area = n * (ri)² * tan(π/n) , given ri.


1. Answer True or False to the

1. Answer True or False to the

Answers

True since only one from the first goes to one from the second

Answer:

umm the photo is blurry

Step-by-step explanation:

Does the expression x^3-1 divided by x^2 -1 simplify to x?

Answers

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

Know more about numerator here:

https://brainly.com/question/1217611

#SPJ8

Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6. 7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)

Answers

Answer:

7(5-2)+6

Step-by-step explanation:

difference - subtraction

putting the 7 next to it means that it will multiply times that first

if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

ILL GIVE A BRAINLIEST TO WHOEVER HELPS!!

ILL GIVE A BRAINLIEST TO WHOEVER HELPS!!

Answers

Answer:

10x^2-4x+6??????????

Answer:

10x^2-4x+6

Step-by-step explanation:

Multiply the length and width and you will get 2*(5x^2-2x+3) = 10x^2-4x+6!

HELP ME PLEASEEEEEEEEEEEEEEEE

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

15.7

Step-by-step explanation:

Because the width has to be bigger than the length since its a rectangle and 15.7 matches the equation of 43.8 and 12.4

Answer:

P = 2(l + w)

43.8 = 2(12.4 + x )

43.8 = 24.8 + 2x

43.8 - 24.8 = 2x

19 = 2x

Divide both side by two;

x = 9.5 ft

The answer choices in the picture are:

A. a reflection over the line x=6

B. a dilation with a scale factor of 6

C. a 180 degrees clockwise rotation about the origin

D. a 90 degree clockwise rotation about the origin

The answer choices in the picture are:A. a reflection over the line x=6B. a dilation with a scale factor

Answers

Answer:

A. A reflection over the line x = 6

Step-by-step explanation:

You can see in the picture if you follow the line every edge has the same

Number x=6

find the product 3/8 x 2 help plz

Answers

Answer:

3/4

Step-by-step explanation:

hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy

Solve for x xx. Enter the solutions from least to greatest. Round to two decimal places. ( x + 3 ) 2 − 3 = 0 (x+3) 2 −3=0

Answers

The solution of the equation (x + 3)² − 3 = 0 least to greatest will be negative 4.73 and negative 1.27.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

(x + 3)² − 3 = 0

Simplify the equation, then the value of the variable 'x' is given as,

(x + 3)² − 3 = 0

(x + 3)² = 3

x + 3 = ± √3

x = - 3 ± √3

x = - 3 ± 1.73

x = -4.73, -1.27

The solution of the equation (x + 3)² − 3 = 0 least to greatest will be negative 4.73 and negative 1.27.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Please help song for b​

Please help song for b

Answers

64 degrees

90 degrees minus 26 degrees

90-26=64

please help me solve this problem

please help me solve this problem

Answers

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

How to determine vectors

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

To learn more on unit vectors: https://brainly.com/question/28028700

#SPJ1

What is the equation of the line that passes through the point (-5,2)and has undefined slope

Answers

Step-by-step explanation:

a line with undefined slope is a vertical line, because x does not change on this line at all, and therefore the shoe is y/0.

a vertical line is parallel to the y-axis.

and to go through the given point, it has to use the x- coordinate.

so, the equation is

x = -5

that's really it.

this is the line of all points with the x-coordinate = -5. any value for y is valid.

Other Questions
Colloid - well ______ together but not ______________ Write the wifes story but in the husbands point of view or write an alternative ending PLEASE HELP ASAP!!! THIS IS MY LAST QUESTION!! SHOW WORK find the range of gchoose one answer-4(x)9the g(x) values -4,0,&9-5(x)4the g(x) -values -5, -2, 1, 3, and 4 the nurse is caring for a 3-year-old awaiting a heart transplant who requires an antiarrhythmic agent to control a supraventricular arrhythmia. what drug, if ordered, should the nurse question? how many countries turned authoritarian from democratic because of the depression A point charge is placed 3 m from a 4 C charge. What is the strength of the electric field on the point charge at this distance? (Round to the nearest thousands. ) Newtons over Coulombs. If a Malaysian buys a RM75 handbag from Italy, Malaysia's consumption increases by RM75, and MalaysianQuestion 5 options:A.imports are unaffected, and Malaysia GDP is unaffectedB.imports increase by RM75, but Malaysia GDP is unaffectedC.imports increase by RM75, and Malaysia GDP increases by RM75D.exports increase by RM75, and Malaysia GDP increases by RM75 Use the graph to describe what transformation has taken place. List your answer below.Please help! I'll give brainliest. The table represents the height of a ball that is dropped, h(t), after t seconds. Which statement best compares the properties of potassium chloride and sulfur dioxide? A. Sulfur dioxide has a higher melting point because it is a covalent compound. B. Sulfur dioxide has a higher melting point because it is an ionic compound. C. Potassium chloride has a higher melting point because it is an ionic compound. D. Potassium chloride has a higher melting point because it is a covalent compound. Which of these is an example of a collaboration?A. A writer and a photographer create a book together.B. An artist works on two paintings at once.C. A writer and an artist show each other their work.D. A writer asks for help editing his novel. how does Tybalt's lack of emotional intelligence and anger issues get him killed What is SAS test of similarity? Show that,the sum of an infinite arithmetic progressive sequence with a positive common difference is +. f(5)-f(3) = x^2+7x-22 The main focus of the nervous system is to: What is the value of the expression below when x=3?4x + 1 Which statement describes the location of the molecules of a gas in a sealed container? Assuming that pdq corporation has annual net sales of $303,000,000 and annual cost of goods sold of $202,000,000, what is the accounts receivable turnover ratio for pdq corporation?