help please, giving brainliest!!

Answer:

A. 1/220   B. 1/22   C. 3/11

Step-by-step explanation:

This question uses combinations -- counting the number of ways a selection can be made from a set of objects (without arranging them after the selection is done).

Notations for combinations:

The number of ways to select  r  things from a set of  n  things is

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]  where the exclamation points mean factorial.

[tex]n!=1\cdot2\cdot3\ldots\cdot n[/tex]  and 0! is defined to be 1.

There are two other commonly used symbols for this:

[tex]_nC_r[/tex]  and  [tex]n \choose x[/tex].

In all three parts, the number of ways to choose 3 balls from a set of 12 is

[tex]C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot4\cdot3\cdot2\cdot1}{(3\cdot2\cdot1)(9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}[/tex]

Notice that 9 factors in the denominator cancel 9 factors in the numerator, leaving

[tex]C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10}{3\cdot2\cdot1}=220[/tex]

A. The number of ways to choose 3 red balls from the 3 red balls is C(3, 3) = 1, so the probability is 1 / 220.

B)  The number of ways to choose 3 green balls from the set of 5 green balls is [tex]C(5,3)=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{5\cdot 4}{2}=10[/tex]  out of 220, so the probability is 10/220 = 1/22.

C)  The number of ways to choose 1 red is C(3, 1) = 3.  Choose 1 green in C(5, 1) = 5 ways.  Choose 1 white in C(4, 1) = 4 ways.

The probability is  [tex]\frac{3\cdot 5 \cdot 4}{220}=\frac{60}{220}=\frac{3}{11}[/tex]

Answer:

a) 1/220

b) 1/22

c) 3/11

Step-by-step explanation:

Check the attachment.

Answer:

Sorry I can't answer this.

But you may use the protacter to find the angle

? = 73°

There are 7 sides in this polygon

Calculate total interior angles using (n-2) * 180    

                                                                  ["n" denotes number of sides]

The missing angle inside the polygon:

900° - 130° -119° -130° -154° -130° -130°

900° - 793°

107°

A straight line has total 180°

? + 107° = 180°

? = 180° - 107°

? = 73°

Answer:

Vertical Asympote, but I might be wrong, haven't done this math in years

Considering the area of a rectangle, it is found that the area of Bob's remaining plot of land is of 12.5 acres.

The area of a rectangle of length l and width w is given by the multiplication of these dimensions, that is:
A = lw.

In this problem, both the length and the width are divided in half, hence the proportion remaining is given by:

A = 0.5l x 0.5w = 0.25lw = 25% of the initial area.

Hence:

0.25 x 50 = 12.5.

The area of Bob's remaining plot of land is of 12.5 acres.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

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The true statements include the point on the graph represents the relationship lie on a line and a line through the points will pass through (0, 0).

From the table, the water depth changes for about (0.8 - 0.4) = 0.4 inches. Here, the function is a linear model.

In this case, the the point on the graph represents the relationship lie on a line and a line through the points will pass through (0, 0).

Learn more about graphs on:

https://brainly.com/question/19040584

Answer:

A & C

Step-by-step explanation:

hope this helps

Dale would need to buy more than 200 cards for Company B to be cheaper.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Company A charges a flat fee of $0.15 per card.

Company B charges $0.10 per card plus an additional $10.00 for delivery

Let x = number of cards

Company A charges = $0.15x

Company B charges = $10.00 + $0.10x

For company B to be the cheaper option      ( B < A )

     $10.00 + $0.10x  <  $0.15x

     $10.00  <  $0.05x      

subtracting positive from both sides to retains the sense of the inequality and x is positive

       200 < x      

       x > 200    

So, Dale would need to buy more than 200 cards for Company B to be cheaper.

Learn more about inequality ;

https://brainly.com/question/10867023

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56+72+x =180 ( therefore sum of angle in a triangle)

128+x=180

x=180-128

x=52

Answer:

THE MISSING ANGLE = 52°

Step-by-step explanation:

Sum of all angles = 18°0

Let the missing angle be x°

56° + 72° + x° = 180°

x° = 180° - 72° - 56°

x° = 52°

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

Step-by-step explanation:

Area of the door = area of the rectangle + area of the semicircle

                            = 7 × 4                            +  (3.14 × 2²)/2

                            = 28                                + (3.14 × 4)/2

                            = 28                                + 3.14 × 2

                           = 28                                 + 6.28

                           = 34.28

7:55 pm - 4:55 pm = 3 hours

225 miles / 3 hours = 75 miles per hour

Average speed = 75 miles per hour

[tex] \underline{ \boxed{ \sf{✰\: Option\:D. \:81✓ }}}[/tex]

Refer to the attachment for solution ☘️

Hope it helps

Answer:

i already did i the previous one

btw can you send this full page of work in pdf if you could

15.

[tex] \frac{89.32}{48.50} \times 100[/tex]

Answer:

AB

Step-by-step explanation:

opposite is AB

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Step 1:  Determine the equation

So we know that our equation does not have a y-intercept which means that it doesn't intersect ANYWHERE on the y-axis.  Therefore, this means that our equation will be a straight vertical line that doesn't move side to side and just goes straight up and down.  We also know that our point is (3, 6) which means that our x-value will be 3 and this is where the equation will be located.  

There are several ways to display our answer where x = 3 is the most common way which basically means give me all of the y-values for the same x value of 3.  Another way of saying it is x - 3 = 0 which either way when adding 3 to both sides gives you x = 3 which is what I usually go with.

Answer: [tex]x = 3[/tex]

Answer:

x = 3 or x - 3 = 0

Step-by-step explanation:

Given

Solving

Answer:

5×6=30

24÷50=0.49....following long division method

hii ,

area of polygon : 18

Answer:

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

First, switch sides.

[tex]\sf{5\left(3y-10\right)-5y=-15}[/tex]

Use the distributive property.

DISTRIBUTIVE PROPERTY:

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

600 cm

Step-by-step explanation:

L*W*H SO IT WILL BE 2*12*25

Answer:

[tex]x = 13 ~~ \text{and}~~ y= 10[/tex]

Step-by-step explanation:

[tex]~~~~~~2.31 \times 10^x = 2200 \times 1.05 \times 10^y\\\\\implies 2.31 \times 10^x = 2310 \times 10^y\\\\\implies \dfrac{10^x}{10^y} = \dfrac{2310}{2.31}\\\\\implies 10^{x-y}=1000\\\\\implies 10^{x-y} = 10^3\\\\\implies x - y = 3[/tex]

[tex]\text{If x = 13 and y = 10 then the difference will be 3.}[/tex]

Answer:

$1.15

Step-by-step explanation:

6 pairs of socks cost $6.90.

so every sock is at least one dollar. one dollar per sock, then you take the .90 and divided between the 6 socks and you get 15, so one dollar and 15 cents per sock.

Hope this helps, have a nice day!

Answer:

Option C, 28

Step-by-step explanation:

Step 1:  Make an expression

Twenty-one less than a number is 7

[tex]x - 21 = 7[/tex]

Step 2:  Solve the equation for x

[tex]x - 21 = 7[/tex]

[tex]x - 21 + 21 = 7 + 21[/tex]

[tex]x = 28[/tex]

Answer: Option C, 28

Answer:

28

Step-by-step explanation:

because twenty eight subtracted by twenty one equals seven

Answer: The least common denominator is 30.

Step-by-step explanation: Look at the image I have uploaded.

Good luck!

The expression  that will find the amount of interest tran will be charged after the first month is: (0.01) (300 dollars).

First step

Monthly interest rate = (Annual percentage rate ÷ Number of months in a year)

Monthly interest rate= 0.12 ÷ 12

Monthly interest rate= 0.01

Second step

Amount left = Amount charged - Amount paid

Amount left = $450 - $150

Amount left = $300

Third step

Amount of interest=Monthly rate ×Amount left

Amount of interest=(0.01) (300 dollars)

Amount of interest=$3

Therefore the expression  that will find the amount of interest tran will be charged after the first month is: (0.01) (300 dollars).

Learn more about expression here:https://brainly.com/question/11277823

Answer:

Read explanation.

Step-by-step explanation:

The average is -22.2 (mean)

-46,-39,-28,-28,-25,-17,-11.-6 You cross out the lowest and highest until you reach the middle, which is -26.5(median)

The mode is -28 as it is the most repeated number

The range is 40 as when you subtract a negative it turns into the absolute value.

Answer:

Step-by-step explanation:

Side Opposite to ∠x is called YZ

The side Opposite to ∠y is called XZ (that's the hypotenuse of the triangle)

Side Opposite to ∠Z is XY

Answer:

Side apposite to angle X is YZ

Side apposite to angle Y is XZ

Side apposite to angle Z is XY

Hope this helps you

have a great day

Answer:

-220

Step-by-step explanation:

Answer:

Let us start by plugging in x=2 into all variables x and y=1 into all y's

so: The result is -220

Answer:

226.19

Step-by-step explanation:

A= 2πrh+ 2πr2= 2·π·4·5+2·π·42≈226.19467

or

S = (2 * pi * r^2) + (2 * pi * r * h)

S = (2 * pi * 4^2) + (2 * pi * 4 * 5)

S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.

Answer:

251.333 (Repeating)

Step-by-step explanation:

First, you need to find the area of the circle at the top, which is [tex]\pi r^{2}[/tex]

Next, you multiply it by the height. (I did also use actual pi)

This is if it's total area, not lateral.

Answer:

c

Step-by-step explanation:

sorry if it is wrong