A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?

21
45
90

Answers

Answer 1

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer 2

Answer:

45

Step-by-step explanation:


Related Questions

Thank you so very much for helping

Answers

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

So do i divide by 2 each time?

Answers

Divide by two if you are dividing by two...

which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?

Answers

Answer:

(0, 8)

Step-by-step explanation:

i just got this question

Answer:

(-9,0)

Step-by-step explanation:

To find the x intercept, set y=0 and solve for x

f(x) = (x-8) (x+9)

0 = (x-8) (x+9)

Using the zero product property

x-8 =0    x+9=0

x=8    x=-9

(8,0)    (-9,0) are the x intercepts

Hi can you please help me

Answers

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00

Answers

Answer:

You will get $3 back

mark me as brainliest pls

Step-by-step explanation:

$25 times 8%= 2

25+2=27

30-27=3

Answer:

$3

Step-by-step explanation:

25*.08=2

25+2=27

30-27=3

Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. (Look at picture) About how much fencing does Molly need?

Answers

Answer:

Step-by-step explanation:

43feet

a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length

Answers

Answer:

2x+2(x+5)) = 24

Step-by-step explanation:

2x+ 2(x+5) = 24

x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.

A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.

Answers

B is 2 cm. Did you leave out some of the question

If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?

Answers

Answer:

The shape of a cone

Step-by-step explanation:

If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).

the leg we choose to rotate around will be the height of the cone.

The other leg will be the radius of the cone's base.

And the hypotenusa of the right triangle will be the slant height of the cone.

A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?

Answers

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

Solve the equation.

29= p x 20

p= __

Answers

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]

now u end up with 1.45=p

hope it helped

Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?

Answers

Answer:

Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.

Step-by-step explanation:

What is the range of the function y= e^4x

Answers

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11

Answers

Answer:

4x^2−4x+7

Step-by-step explanation:

Let's simplify step-by-step.

4x^2−10x+9+6x−2

=4x^2+−10x+9+6x+−2

Combine Like Terms:

=4x^2+−10x+9+6x+−2

=(4x^2)+(−10x+6x)+(9+−2)

=4x^2+−4x+7

Answer:

=4x^2−4x+7

Answer:

A

Step-by-step explanation:

Evaluate the expression 3 x
{10 +1} +5.

Answers

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5.

PEMDAS

Parentheses first

3 x {11} +5.

Then multiply and divide

33+5

38

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5             Following PEMDAS, solve in the parentheses

3 x 11 + 5                   Multiply 3 x 11

33 + 5                       Add

38

30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above

Answers

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\

= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\

=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\

=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]

What is the answer? Plz need help

Answers

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Select the expressions that are equivalent to 6(x + 7).
(7 + x) 6
6x + 42
(x + 7)6
42x + 6​

Answers

Answer:

[tex]6x + 42[/tex]

Step-by-step explanation:

Apply the distributive property:

[tex]6x + 6 \times 7[/tex]

Multiply 6 by 7

[tex]6x + 42[/tex]

The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m​

Answers

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

In parallelogram WXYZ, what is CY?

Answers

Answer:

The correct answer is 11 ft.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:

x+4-x=2x-7-x

4=x-7.

Add 7 to both sides:

4+7=x-7+7

11=x

Answer:

11

Step-by-step explanation:

On edge

Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.

Answers

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.

Answers

Answer:

73,139.67

Step-by-step explanation:

evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)

Answers

Answer:

work is shown and pictured

Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image*

Answers

Answer:

Step-by-step explanation:

Hard to figure out huh

Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?

Answers

Step-by-step explanation:

We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.

We want to find the initial vertical velocity of the ball.

The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

[tex]v=v_o +at[/tex]

Here, v = -6.5 m/s, t = 1.5 s and a = -g

[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).

how many times does 6 go into 29

Answers

Answer:

4 times

Step-by-step explanation:

Answer:

4.8333333 or 4 5/6 times

Step-by-step explanation:

29/6 = 4.83333333

what is m equal to.
4(m − 13) − 8 = 8

Answers

Answer:

m = 17

Step-by-step explanation:

[tex]4(m - 13) - 8 = 8 \\ 4(m - 13) = 8 + 8 \\ 4(m - 13) = 16 \\ (m - 13) = \frac{16}{4} \\ m - 13 = 4 \\ m = 4 + 13 \\ \huge \red { \boxed{m = 17}}[/tex]

If angle AOC = 40 degrees, how many degrees is angle ABC?

Answers

80........................

What term must we add to complete the square on x^2 + 12x


Answers

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm

Answers

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

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