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ryzh [129]
3 years ago
9

Represent the sample space using set notation:

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

{head - red, head - blue, tail - red, tail - blue}

Step-by-step explanation:

Given

  • A sample space is the set of all possible outcomes in an experiment
  • A spinner can land on either red or blue.
  • A coin can land on either head or tail.
  • You flip a coin and then spin the spinner.

The sample space using set notation is:

{head - red, head - blue, tail - red, tail - blue}

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What is the solution to the given system of equations. y = 4x - 3<br> y = -X- 13
san4es73 [151]
Y = 4x - 3
y = -x - 13
Since both equations equal y, we will just substitute both equations to equal each other.
4x - 3 = -x - 13
+x on both sides
5x - 3 = -13
+3 on both sides
5x = -10
/5 on both sides
x = -2

Substitute x = -2 into one of the equations.
y = -x - 13
y = -(-2) - 13
y = 2 - 13
y = -11

To check answer, plug in both x and y values into one of the equations.
y = -x -13
-11 = -(-2) - 13
-11 = 2 - 13
-11 = -11

Answer:
x = -2
y = -11
5 0
3 years ago
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm
adell [148]
Comment
The only way I can envision this is put all 4 points on 1 line segment. They go in the order of ADCB. I can only draw it this one way.

Given
D is the midpoint of AC
C is the midpoint of DB
AC = 3 cm

Argument
AC = 3 cm           Given
AD = DC                       D is the midpoint of AC
AD = 3/2                       Definition of a midpoint.
DC = 3/2                       Definition of a midpoint

DC = 3/2                       Last statement
DC + CB = 1.5 + 1.5.   C is the midpoint of BD
DB = 3                          Consolidation of equals
AD + DB = AB               
1.5 + 3 = 4.5                 Substitution.


3 0
3 years ago
Read 2 more answers
Busca dos números consecutivos de manera que la diferencia de sus cuadrados sea 19
deff fn [24]
The numbers are 9 and 10.

Let x be the first number.  Since they are consecutive, this means (x+1) represents the second number.

The square of x is x².  The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1

The difference of these squares would be given by
x²+2x+1 - x²

Setting this equal to 19,
x²+2x+1 - x² = 19

Combining like terms,
2x+1=19

Subtract 1 from each side:
2x+1-1=19-1
2x=18

Divide both sides by 2:
2x/2 = 18/2
x = 9

The first number, x, is 9.  This means the second number, x+1, is 9+1=10.
4 0
4 years ago
PLZ HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
OverLord2011 [107]
The volume of a sphere is 4/3(pi)r^3
To find the radius we do the diameter divided by 2 - 165/2=82.5
4/3(pi)(82.5)^3
We get 2,350,879 when we multiply it together, so your answer is 2,350,879 ft^3
5 0
4 years ago
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Ginger is taking a cab in Washington D.C. The taxi fare includes a base charge of $3.00 as soon as you enter the cab, plus an ad
kenny6666 [7]

Answer:

she will be left with 25 dollars

Step-by-step explanation:

2.50 x 8=20

20+3+2=25

4 0
3 years ago
Read 2 more answers
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