Solve the system in the image below

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Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

Again the order matters.

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Now let's define the following events

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

From here, multiply the probability values with their corresponding net values

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

Answer:

3 days

Step-by-step explanation:

375-150. You get 225. Then you do 225/75 to get 3. 3days

Answer:

13. 192 sq in

14. 243.375 sq in

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

3x6x2 I think..

What I would do is draw it out in a net. Then find the area of each area of the net. After you calculate the areas, you'll get these numbers: 18, 18, 12, 12, 6, and 6. Then add them all together.

The final answer is 72 square centimeters.

Answer:

-A+B+C-D or B+C-D-A

Step-by-step explanation:

Simplify the expression

Answer:

Step-by-step explanation:

It is assumed XYZ is a right triangle.

Answer:

Step-by-step explanation:

hello :

Answer:

-20 feet

Step-by-step explanation:

change in depth = number of feet below the surface + number of depth on the surface

Because the submarine is below surface, a value of -30 would be given

-30 + 10 = -20 feet

Answer:

5 candies left for herself

Step-by-step explanation:

Answer:

Area of rectangle= 24 × 7 = 168

Area of trapezium = ((a+b)/2)h = 74

Total area = 168 + 74 = 242

Answer:

242in^2

Step-by-step explanation:

Area of parallelogram is

1/2(a+b)×h

a=13in

b=24in

h=4in

= 1/2(13+24)×4

=1/2(37)×4

so the area of the parallelogram is

=74in^2

Area of rectangle is

L×B

L=24in

B=7in

=24×7

=168in^2

so the area will be the sum of the area of parallelogram and rectangle

=74in^2+ 168in^2

=242in^2

9514 1404 393

Answer:

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

  3 = x² +2x

Now, add the square of half the x-coefficient.

  3 +1 = x² +2x +1

  (x +1)² = 4 . . . . . . . . write as a square in the desired form

__

To solve, take the square root, and add the opposite of the left-side constant.

  x +1 = ±2

  x = -1 ±2 . . . . . . matches choice (D)

Answer:

Slope= -1

Step-by-step explanation:

The point is X

Answer:

-1

Step-by-step explanation:

because the number in front of the x is your slope

Answer:

Hope this helps you..

Brainliest plsssss

All the Best for your exams

Step-by-step explanation:

let the breadth=x

the length  =x+15

given perimeter= 150

Perimeter of rectangle = 2x(l+b)

150 = 2( x+ x+15)                            

75 = 2x +15

60 = 2x

30=x  

therefore breadth = 30 cm  

length   = 30 +15  = 45 cm

Verification:

150 = 2( 45+30)

150 = 2(75)

150 = 150  

LHS=RHS

Hence, proved..

Answer:

Step-by-step explanation:

Let the breadth(b) be x . Then by the question

Length (L) = ( x + 15 )cm

Perimeter = 150 cm

or 2( L + b) = 150

2 ( x + 15 + x ) = 150

2x + 15 = 75

2x = 75 - 15

2x = 60

x = 30 cm

Therefore breadth or width is 30 cm

Similarly

Length = 30 + 15 = 45

hope it helps :)

Answer: 60 degrees

if angle dgc equals 90 (the little square means right angle which is 90 degrees) that means dga equals 90 too (because they are supplementary angles which equal 180 together)

90 - 30 = 60 (minus 30 bc 30 needs to be subtracted in order to find angle dge)

vertical angles are equivalent so x = 60

:)

Answer:

60

Step-by-step explanation:

because the unmarked angle is vertical pairs with the 90º, we know it is 90º

xº=180º-30º-90º

=90º-30º

=60º

Answer:

Step-by-step explanation:

Answer:

The answer is "[tex]\overarc{ADC} = m\angle CPD + m\angle DPA = 186[/tex]"

Step-by-step explanation:

Please find the image of the question:

In the circle p:

[tex]\to m\angle APB + m\angle BPC + m\angle CPD + m\angle DPA = 360^{\circ} \\\\\to 70 + 104 + m\angle CPD + m\angle DPA = 360\\\\\to m\angle CPD + m\angle DPA = 360 - 70 - 104 = 186[/tex]

Let P is in the center

[tex]\to[/tex] arc AD= [tex]m\angle APD[/tex]

[tex]\to[/tex] arc DC = [tex]m\angle CPD[/tex]  

[tex]\to[/tex] arc BC = [tex]m\angle BPC[/tex]  

arc AB =

When D is on arc AC:

[tex]\to[/tex]arc ADC =  arc AD  + arc DC  

[tex]\to[/tex]arc ADC = [tex]m \angle CPD + m\angle DPA = 186[/tex]

Answer: La respuesta es 28 y 29. Tengo que explicar?

Answer:

The answer to this question is 68

Answer:

m∡ABD = 68°

Step-by-step explanation:

let x = m∡ABD

44 + 2x = 180

2x = 136

x = 68

Answer:

The probabillty is okay because he probably take a white shirt an blue can be his favorite color

Step-by-step explanation:

Answer:

5^2 =25/ 2.5x 6 =12

Step-by-step explanation:

Answer:

[tex]1\frac{2}{3}[/tex] yards

Step-by-step explanation:

Answer:

Ross has 1 [tex]\frac{2}{3}[/tex] yards of material left

Step-by-step explanation:

(6 [tex]\frac{1}{3}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]

(6 [tex]\frac{2}{6}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]

8 [tex]\frac{3}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex]

7 [tex]\frac{9}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex] = 1 [tex]\frac{4}{6}[/tex]

Simplify

1 [tex]\frac{2}{3}[/tex]

Answer: 550

Step-by-step explanation:

122x2=244

153x2=306

550

Answer:

The answer to this is option B

Solution :

In the figure, the box plot represents the lengths of the songs of the two digital music players that is in minutes.

From the figure, we can see that for the music player Y, the interquartile range of the data is small.

And the interquartile range of data is more for the music player X.

So, we can conclude that the interquartile range of data is greater for Music player X than the interquartile range data of music player Y.

Answer:

48m^2

Step-by-step explanation:

A=LxW=12x4=48

Answer:

Jiri is 38 years old.

Step-by-step explanation:

First, 67 - 29 = 38 and 29 + 9 = 38.

Hope this helps!

Answer:

D. the initial height of the paper airplane

Step-by-step explanation:

Answer:

186.67 ft³

Step-by-step explanation:

Volume of a pyramid

= [tex]\frac{1}{3} [/tex] × base area × height

The volume of the pyramid

[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]

[tex] = \frac{1}{3} \times 80 \times 7[/tex]

[tex] = 186.666...[/tex]

= 186.67 ft³ (rounded to the nearest hundredth)