There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g. (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct) and so order is important.) a. How many possible outcomes are there

Answer:

The area is 84. The missing side is 7.

Step-by-step explanation:

Okay so perimeter = length+length+width+width right? If 12 is the length, then 12+12=24, which is the length part of perimeter. 38-24=14 and 14/2=7. The missing side is 7 because 12+12+7+7=38 and the area is 84 because 12x7=84. Good luck!

Answer:

we are going to be an equal number of adenine and thymine include the following at the

Answer:

The last one

Step-by-step explanation:

To find an area of a circle its with the formula...

A = π [tex]r^{2}[/tex]

But since the diameter is given, and not the radius we need to divide the diameter by 2 (since half the diameter gives you the radius)

And the only one there that divides the diameter with the correct formula is the last one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

B. h(x) = 4x² - 4x + 11

Step-by-step explanation:

Given:

f(x) = 5x² - 2x + 1

g(x) = x² + 2x - 10

Required:

h(x) = f(x) - g(x)

Solution:

h(x) = (5x² - 2x + 1) - (x² + 2x - 10)

= 5x² - 2x + 1 - x² - 2x + 10 (distributive property)

Collect like terms

= 5x² - x² - 2x - 2x + 1 + 10

h(x) = 4x² - 4x + 11

Answer:

x > -1

(-1, infinity)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-(-2 + 9)  Equation/Question

Step 2

-(-2 + 9)  Simplify

-(-2 + 9)

Step 3

-(-2 + 9)  Solve by adding

-(7)

=-7

Answer

-7

Answer:

who wins four tosses first is the winner.

possible cases-7 tosses, 6 tosses, 5 tosses, 4 tosses

We get cases of Win of Head first-4 tosses

All 4 must be Head

Number of ways = 1

5 tosses-5th must be Head  

there are 3 Head   out of 4  in  ⁴C₃ = 4 Ways

6 tosses-6th must be Head  

there are 3 Head  out of 5  in  ⁵C₃ = 10 Ways

7 tosses-7th must be Head  

there are 3 Head   out of 6  in  ⁶C₃ = 20 Ways

Cases of Head wins = 1+ 4 + 10 + 20  = 35

similarly cases when  Tails Wins = 35

Total Possible cases = 35 + 35 = 70

70 is total number of possible ways in which the bet can play out.

Step-by-step explanation:

I hope that this helps u out..

Answer:

          7.5

2.5√18.75 -

       18.75

        7.5

2.5√18.75

Step-by-step explanation:

Answer:

[tex]LM = 10units[/tex]

Step-by-step explanation:

[tex]L( - 5,4),M(3, - 2)[/tex]

[tex]L( - 5,4),M(3, - 2) \\ L( { x }_{ 1 } , { y }_{ 1 } ),M( { x }_{ 2 } , { y }_{ 2 } )[/tex]

[tex]LM = \sqrt{ {( { x }_{ 2 } - { x }_{ 1 } )}^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } [/tex]

[tex]LM = \sqrt{ {(3 - - 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(3 + 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(7)}^{2} + {( - 6)}^{2} } [/tex]

[tex]LM = \sqrt{64+ 36} [/tex]

[tex]LM = \sqrt{100} [/tex]

[tex]LM = 10units[/tex]

Answer:

3m -7

Step-by-step explanation:

7m - 10 - 4m + 3, now if you change the spots.....

7m - 4m - 10 + 3 which can be simplified to 3m -7.

Hope this helps :D

Answer:

8 to 9

Step-by-step explanation:

Answer:

70% probability that the bead is RED or GREEN

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

2 + 12 = 14 red or green beads out of 2 + 6 + 12 = 20 beads

14/20 = 0.7 = 70%

70% probability that the bead is RED or GREEN

Answer:

Step-by-step explanation:

the smaller triangle x=112

the larger triangle x=62

Answer:

1. is 38 and 69 degrees i think

2. is 90 degrees bc it is a 90 degree angle and 90 + 90 = 180 which all interior angles equal.

Answer:

1/2 cups

Step-by-step explanation:

She will need 1/2 cups.

She needs 1/2 cups, because she is making 12 soups.

Hope this helped

Answer:

126 in²

Step-by-step explanation:

That's what the answer was for me :)

Hope this helps!!

Answer: There are 70 outcomes.

Step-by-step explanation:

The number of combinations for n things if r thing s have been chosen ( repetition is allowed) = [tex]C(n+r-1, n-1)[/tex]

Here , n= 5 , r= 4

The possible outcomes = [tex]C(5+4-1, 5-1)= C(8,4)[/tex]

As [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

So, The possible outcomes = [tex]\dfrac{8!}{4!(8-4)!}[/tex]

[tex]=\dfrac{8\times7\times6\times5\times4!}{4\times3\times2\times1\times4!}\\\\=70[/tex]

Hence, there are 70 outcomes.

Step-by-step explanation:

5 for $2.25 means 1 for $0.45

So, we have

1: 0.45

2: 0.9

3: 1.35

4: 1.8

10: 22.5

15: 33.75

20: 45

100: 225

n = 0.45c

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

6 times.

Explanation:

Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}[/tex]

Multiply the equation by 4

[tex]4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\[/tex]

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

[tex]\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\[/tex]

Multiply the equation by 6

[tex]6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\[/tex]

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           -15x  + 70y = 40     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

Answer:

Options (2) and (3)

Step-by-step explanation:

Slope of line segment is given by the formula,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, the line given in the graph has the Rise as negative (Since, segment is slanting down) and Run as positive.

Therefore, slope of the segment is negative which describes that the function is decreasing in the interval 2.

Options (2) and (3) will be the correct options.

Answer:

20

Step-by-step explanation:

if you put a picture of the equation here, then i will be able to help you! :)

Answer:

2g+3

Step-by-step explanation:

Answer:

2g+3

Step-by-step explanation:

Subtract 2g from 4g

Answer:

The points are (5,1) which are (x,y)

That being said the 1=3(5)+2

1=17

Step-by-step explanation: