A student draws several cards from a deck of 10 unique cards.

Which of these statements are true?

Select all that apply.

There are 252 different ways that 5 cards can be drawn.
There are 120 different ways that 7 cards can be drawn.
There are 210 different ways that 4 cards can be drawn.
There are 240 different ways that 6 cards can be drawn.
There are 90 different ways that 8 cards can be drawn.

Answers

Answer 1

Answer:

There are 210 different ways that 4 cards can be drawn.

There are 252 different ways that 5 cards can be drawn.

There are 120 different ways that 7 cards can be drawn.

Step-by-step explanation:

Use the combination formula

10C4 =210

10C5 = 252

10C7 = 120


Related Questions

There are 12 girls and 16 boys . What is the largest number in each group?


Answers

Answer:

Step-by-step explanation:

The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups

Given:

Number of girls = 12

Number of boys = 16

Find the highest common factor of 12 and 16

12 = 1, 2, 4

18 = 1, 2,4

The highest common factor of 12 and 16 is 4

Number of girls in each group = 12/4

= 3 girls

Number of boy in each group = 18/4

= 4.5 boys=5

Therefore, the group can be split into 4 groups to have 3 girls and 5 boys in each group

Help picture below problem 13

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]

Thus the missing side length is 12 cm

Hope that helps!

I have attached the questions below please help me

Answers

Answer:

point A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

round to the nearest hundredth

Answers

Answer:

the answer without rounding is 147 but with its 100

Step-by-step explanation:

firsts you add up both sides of the triangle and then you subtract by 180 and now that you your answer but you had to round AN anyting above 150 you would have to run to 200 but you had one 47 so it's 100

Help help help help math math

Answers

No solution is the answer love

Answer:

No Solution

Step-by-step explanation:

-y = -2x + 8

y = 2x - 8

2x + 8 = 2x - 8

2x - 2x = -8 - 8

0 = -16

No Solution

You can also graph y = 2x + 8 and y = 2x - 8. The slope are the same and so they are parallel

A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.

Answers

The length of the wire is the perimeter of the wire

The radius of the circle is 1.59 meters

How to determine the radius of the circle?

The length of the wire is given as:

L  = 20m

When cut into two pieces, we have:

Perimeter of square = 10 mCircumference of circle = 10m

The circumference of the circle is calculated using:

C = 2πr

So, we have:

2πr = 10

Make r the subject

r = 10/2π

Evaluate the quotient

r = 1.59

Hence, the radius of the circle is 1.59 meters

Read more about radius at:

https://brainly.com/question/9554871

Please help me with this question I am having difficulty with it

Answers

Answer:

The first x=4       y=8

Step-by-step explanation:

2x-5 = y-5

x+1 = y-3

  Multiply the second by -2(to eliminate x)

  2x-5 =y-5

 -2x-2= -2y+6

      ADD BOTH

-7 = -y+1

y=8

            PLUG y

x+1 =y-3

x+1 =8-3

x+1=5

x=4

PLEASE HELP I WILL GIVE BRIANLIEST

Answers

Answer:

T. Perimeter

Step-by-step explanation:

Louisa is 5 feet 4 inches tall.
How tall is she in inches?

Answers

Answer: 64 inches

Step-by-step explanation:

she would be 64 inches tall

A rectangle has a perimeter of 20 cm. What will the perimeter be if the rectangle tripled in size?


ITS A VOLUME QUESTION

Answers

Answer:

Step-by-step explanation:

Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps

The quotient of a number and three is six
What is the number?

Answers

Answer:

the quotient of 18 and 3 is 6

Step-by-step explanation:

do the inverse and get 6x3=18

A string of a kite is 100 meters long and the inclination of the string with the ground is 60°. Find the height of the kite, assuming that there is no slack in the string.

Answers

Answer:

86.5

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular

(height of the kite) from C on the ground. BC is the horizontal.

Sin 60° CB/AC = √3/2

height = 1.73/2 AC = 0.865 * 100 m = 86.5 m

Bob bought n packs of pencils. Each pack has 15 pencils. Write an equation to represent the total number of pencils that Bob bought.

Answers

Step-by-step explanation:

each pack 15 pencil

n* 15= 15n

What is the characteristics of a scatterplot

Answers

Answer:

Graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them

Step-by-step explanation:

The scatter diagram graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them. If the variables are correlated, the points will fall along a line or curve. The better the correlation, the tighter the points will hug the line.

A triangle has an area of 48 square centimeters. The height of the triangle is 6 centimeters. What is the base of the triangle?

Answers

Question :-

A Triangle has an Area of 48 cm² . The Height of the Triangle is 6 cm . What is the Base of the Triangle ?

Answer :-

Base of Triangle is 16 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }} [/tex]

Where ,

B denotes to the Base .H denotes to the Height .

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 } [/tex]

[tex] \longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base } [/tex]

[tex] \longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} } [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}} [/tex]

Hence :-

Base of Triangle = 16 cm .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Question : -

A triangle has an area of 48 square centimetres. The height of the triangle is 6 centimetres. What is the base of the triangle ?

Given : -

Area of triangle = 48 cm²

Height of triangle = 6 cm

To Find : -

Base of triangle

Formula Used : -

[tex] \blue{\boxed{Area \: of \: triangle = \frac{1}{2} \times b \times h}}[/tex]

Where ,

b = Base of triangle

h = Height of triangle

Concept : -

In this question the concept belongs to the areas of two dimensional shapes i.e. how we can find length , breadth or height with the help of given area .

So let's get started : -

[tex] \longmapsto \: 48 = \frac{1}{2} \times b \times 6[/tex]

Now , transposing 2 to left hand side :

[tex] \longmapsto \: 48 \times 2 = 1 \times b \times 6[/tex]

Now , multiplying 48 with 2 and multiplying b with 1 and 6 :

[tex] \longmapsto \: 96 = 6b[/tex]

Now , transposing 6 to left hand side :

[tex] \longmapsto \: \cancel\frac{96}{6} = b[/tex]

Now , by cancelling them we get :

[tex] \longmapsto \: \red{ \boxed{ \sf{b = 16 \: cm}}}[/tex]

Therefore , base of triangle is of 16 cm

Verifying : -

We know that area of triangle is equal to 48 cm². So :

[tex] \rightarrow \: \frac{1}{ \cancel2} \times \cancel{16} \times 6 = 48[/tex]

Now , by cancelling 16 with 2 we get :

[tex] \rightarrow \: 8 \times 6 = 48[/tex]

So , by multiplying we get :

[tex] \rightarrow \: 48 = 48[/tex]

That means :

[tex] \rightarrow \: L.H.S = R.H.S[/tex]

Hence , Verified .

Therefore, our answer is valid .

#Keep Learning

This semicircle has a radius of 8cm . What is the area of this figure?​

Answers

Answer:

100.48 cm² (Option 2)

Step-by-step explanation:

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Area_{(semicircle)} = \dfrac{1}{2}( \pi {r}^{2} ) }}}[/tex]

Where,

r is the radius of the semicircle. Here, the radius is 8 cm .

We will take the value of π as 3.14 .

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{2} \times 3.14 \times ({8})^{2} }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{ \cancel2} \times 3.14 \times \cancel{64} }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 3.14 \times 32 }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 100.48 }}}[/tex]

[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Area_{(semicircle)} \approx \it 100.48 }}}[/tex]

Therefore,

The area of the semicircle is 100.48 cm² approximately .

Answer:

100.48 cm² ( option 2 )

Step-by-step explanation:

Given:-

Radius of semicircle :- 8cm

To find:-

Area of the figure

Solution:-

Area of semi-circle :-

[tex] \frac{1}{2} \pi \: r {}^{2} [/tex]

1/2 × 3.14 × 8²

[tex]100.48 \: cm {}^{2} [/tex]

3. Avery records her rock-climbing progress and finds that her altitude, in kilometers above sea
level, can be represented by a linear model, A = 7+ 1.3t, where t is the number of hours since
Avery started climbing.
Based on this model, how many kilometers above sea level was Avery's altitude before she started
climbing?
km

Answers

Using the given linear function, it is found that Avery was 7 kilometers above sea level before she started climbing.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.

In this problem, her altitude in kilometers after t hours is modeled by:

A(t) = 7 + 1.3t.

The y-intercept is of b = 7, which means that Avery was 7 kilometers above sea level before she started climbing.

More can be learned about linear functions at https://brainly.com/question/24808124

The number 3 is a common factor of _________.
A) 9 and 15
B) 6 and 10
C) 8 and 12

Answers

Answer:

A) 9 and 15.

Step-by-step explanation:

First, let's see what each number's factor is:

A)

9 : 1, 3 & 9

15 : 1, 3, 5 & 15

B)

6 : 1, 2, 3 & 6

10 : 1, 2, 5 & 10

C)

8 : 1, 2, 4 & 8

12 : 1, 2, 3, 4, 6 & 12

Therefore, The number 3 is a common factor of A) 9 and 15.

___

Smmy pays $2 73 for each gallon of gas, which table best represents the relationship between the number of gallons
purchased, and the amount he pays for gas?

Answers

Answer:

Label ELabel E

Step-by-step explanation:

Label ELabel ELabel k

carlos made a list of the scores he obtained on 10 test. 43, 72, 75, 86, 91, 91, 91, 95. The teacher will remove the lowest score from the list. which statical measure will increase if the lowest scored is removed?

Answers

Answer:

mean

Step-by-step explanation:

The mean will decrease, in an option of mean, mode, median and range:)

5
Solve for x. Round all answers to the nearest tenth.
X
32
14
O 11
O 11.7
O 10.2
O 11.9

Answers

Answer:

11.9

Step-by-step explanation:

Making sure your calculator is in degree mode, we have:

[tex] \cos(32) = \frac{x}{14} [/tex]

[tex]x = 14 \cos(32) = 11.9[/tex]

Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg. The second heaviest dog weighs 28 kg. How heavy is the third heaviest dog?

Answers

The weight of the third heaviest among the four dogs is 2 kg.

What is an equation?

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

The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.

Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.

29 + 28 + 2 + 1 = 60 kg

The weight of the third heaviest among the four dogs is 2 kg.

Find out more on equation at: https://brainly.com/question/2972832

PLS HELP ME !! I REALLT NEED HELP

Answers

Step-by-step explanation:

it clearly says (and also shows it by specifying 4cm × 4cm side lengths) : a square base.

so, all net diagrams not having a square in the middle (but a rectangle or a triangle) are out.

and in fact, all 3 that have a square in the middle, are valid nets that would fold up to the pyramid : the 2nd, 4th and 6th.

due in 1 hour
screenshot below

Answers

Answer:

True I'm pretty sure. Just check to be sure.

Step-by-step explanation:

Raul is drawing a plan for his bedroom. He needs to determine
the material costs for his flooring. The blueprint of the bedroom
uses a scale of 1 inch = 4 feet. If the flooring material costs
$2.55 per square foot, how much will it cost to buy the flooring
for Raul's bedroom?
The length on the blueprint is 3.25 inches. The width is 2.75 in.

Answers

The cost to buy the flooring for Raul's bedroom is $364.65.

What is the cost to buy the flooring for Raul's bedroom?

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Actual length of the bedroom = 4 x 3.25 = 13 feet

Actual length of the bedroom = 4 x 2.75 = 11 feet

Area = 143 square feet

Cost = 143 x 2.55 = $364.65

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Sancho paints the new sign for his bike shop. One quart of paint covers 200 square feet, and Sancho plans on applying three coats of paint. One quart of paint cost $8.97. What is the square footage of his sign and ow much must Sancho spend to paint the sign?
I will give crown thingy

Answers

60 Bc how much square footage

PLEASE HELP ME ASAP
PLEASE NO RANDOM ANSWER OR SPAM!!!

Answers

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

pls solve this ,urgent no spam​

Answers

Answer:

Question 3

Given expression:

[tex]\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)[/tex]

Both parentheses share a common term.

To factor out a common term: ab + ac = a(b + c)

[tex]\textsf{Factor out the common term }\dfrac{-8}{9}[/tex]

[tex]\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)[/tex]

-------------------------------------------------------------------------------------------------

Question 4

To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:

[tex]\sf \implies total=10\frac14+25\frac34+16\frac12[/tex]

As [tex]\sf a\frac{b}{c}=a+\frac{b}{c}[/tex], then:

[tex]\sf \implies 10+\frac14+25+\frac34+16+\frac12[/tex]

Collect and sum the whole numbers:

[tex]\sf \implies (10+25+16)+\frac14+\frac34+\frac12[/tex]

[tex]\sf \implies 51+\frac14+\frac34+\frac12[/tex]

As  [tex]\sf \frac14+\frac34=\frac44=1[/tex], then

[tex]\sf \implies 51+1+\frac12[/tex]

[tex]\sf \implies 52+\frac12[/tex]

[tex]\sf \implies 52\frac12[/tex]

The difference between the number of items on two grocery lists is 7. The combined total number of items on the lists is 33.

Answers

Answer:

20 and 13

Step-by-step explanation:

If one list is 'a' and the other one is 'b' then

a-b = 7 and a+b = 33

a-b+a+b = 7+33

2a = 40

a = 20

Now, 20 - b = 7

-b = -13

b = 13

A car is on a Ferris wheel with a radius of 20 ft. To the nearest foot, how far does the car travel over an angle of
π
3
radians?

Answers

The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet.

In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle.

How to calculate Circumference of a circle

C = 2πr

where

r = radius

Therefore,

r is the radius of the fairy wheel

r = 20 ft

C = 2 × 3.14 × 20

C = 40 × 3.14

C = 125.6 ft

This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

learn more on circumference here: https://brainly.com/question/23385261

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