1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tresset [83]
3 years ago
12

Suppose you roll a fair, six-sided number cube.

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event is rolling an even number

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

Step-by-step explanation:

Sample Space

The simple space is the combination of all possible outcomes

so,

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event

One possible event is rolling an even number

Probability of that event

to find the probability of the event i.e. rolling an even number, we first find the sample for the event i.e. event space

event space={2, 4, 6}

Now,

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

You might be interested in
What is the x intercept that is perpendicular to y=4/3x+1 and passes through (-4,9)
kolezko [41]
Well, we know the line is perpendicular to that one above.... what is the slope of that one anyway?  well, notice, the equation is already in slope-intercept form   \bf y=\stackrel{slope}{\cfrac{4}{3}}x+1.

so, we're looking for the equation of a line perpendicular to that one, now, since that one has a slope of 4/3, a perpendicular line will have a negative reciprocal slope to that one, 

\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{4}{3}\\\\
negative\implies  -\cfrac{4}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{4}

so, what is the equation of a line whose slope is -3/4 and runs through -4,9?

\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~ -4 &,& 9~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies -\cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-9=-\cfrac{3}{4}[x-(-4)]
\\\\\\
y-9=-\cfrac{3}{4}(x+4)

now, the x-intercept for any function is found by zeroing out the "y" and solving for "x", thus

\bf y-9=-\cfrac{3}{4}(x+4)\implies 0-9=-\cfrac{3}{4}(x+4)\implies -9=-\cfrac{3x}{4}-3
\\\\\\
-6=-\cfrac{3x}{4}\implies -24=-3x\implies \cfrac{-24}{-3}=x\implies 8=x

x = 8, y = 0           ( 8 , 0 )
5 0
3 years ago
What is the measure of
Lubov Fominskaja [6]
  • 60.......................
3 0
1 year ago
Please help??? thanks!!!
Burka [1]
I believe its d because you subtract (-3 -7 1 9) from both sides
7 0
3 years ago
brad learned about lines and line segments in math class. mr.sheng drew the following figure on the board.
Burka [1]
THE ANSWER SHOULD BE FG BECAUSE LINE HAVE TO ENDING POINTS WITH NO CURVES

8 0
3 years ago
How do you solve x^2-4X-12=0
Pepsi [2]
                                         x²  -  4x  - 12  =  0

Factor the left side:      (x + 2) · (x - 6)  =  0

The equation is true if either factor is zero.

If  (x + 2) = 0  then    x = -2 .

If  (x - 6) = 0  then     x = 6 .
3 0
3 years ago
Other questions:
  • Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?​
    7·1 answer
  • Flower garden is 8 by 2
    6·2 answers
  • I will give brain to the person with the right answer.
    14·2 answers
  • a vet borrows $12,000 for 4 years. The total interest paid was $875. what was the interest rate on the loan
    5·1 answer
  • Y-z=m(x-k) solve for x
    15·1 answer
  • Four more than a number divided by 2 is ten.​
    15·2 answers
  • Use the correct order of operations to solve the problem below
    6·1 answer
  • The ratio of cats to dogs is 3 : 7.
    7·1 answer
  • Please solve this system of equations using the Substitution Method:<br> y= 2x + 10 and 2x+y= -6
    10·1 answer
  • Use the following information to write an equation in all 3 forms. Car Rental Number of Miles, m Total Amount Charged, c 5 $30.5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!