Consider the sample space given below.

A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.


S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}

Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.

Answers

Answer 1

Answer:

1 / 6

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.

The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.

The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.

n(S) = 36

Let E be an event that the numbers showing face up are the same.

E = {11, 22, 33, 44, 55, 66}, n(E) = 6

The probability of E = P(E) = number event / number of possible outcomes =

P(E) = n(E) / n(S) = 6 / 36 = 1 / 6


Related Questions

Can anyone help me plz

Answers

Answer:

11

Step-by-step explanation:

BRAINLIEST PLZ

f(2) = (3x2) + 5

= 6+5 = 11

What’s the surface area (Blank) square units

Answers

Answer:

570

Step-by-step explanation:

What’s the answers pls

Answers

Answer:

0.29

Step-by-step explanation:

Answer:

it's 0.29 because we move the decimal point 2 spaces to the left

Determine if each ratio is equivalent to 36:40 or not.

Answers

Answer:

There are no ratios, so I can't answer your question

Step-by-step explanation:


Which of the following is not a correct statement about
the pie chart?
More students have hazel eyes than blue.
Most of the students in the class have brown eyes.
O More students in the class have blue eyes than
hazel.
The fewest number of students have gray eyes.
Hue
Brown
Sreen

Answers

Answer:

More students have hazel eyes than blue

Add the two expressions.
32 – 4 and 2z + 5


Pls help quick!

Answers

Answer:

2z + 33

Step-by-step explanation:

Add like terms like below:

(32 - 4) + (2z + 5) = 28 + 2z + 5

Combine like terms again:

(28 + 5) + 2z = 33 + 2z or 2z + 33

what are Latitude lines

Answers

Answer:

The latitude of a place is its distance north or south of the equator.

Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

The graph shows a linear relationship. Find the slope.

The slope is ?

Answers

Answer:

-2/5

Step-by-step explanation:

(0,1)

(5,-1)

(-1 - 1)/(5 - 0)

-2/5

Graph the inequality x < -1

Answers

Answer and Step-by-step explanation:

It is in the picture.

Since x is less than -1, everything will be shaded to the left of the line that is made. The line would also be dotted since x is only less than and NOT less than or equal to.

#teamtrees #WAP (Water And Plant)

If you get this right I'll make you the brainiest
39+19*989/2*3+55

Answers

Answer:28280.5?

Step-by-step explanation:  was this right

Answer:

using order of operations you will want to simplify your equation using PEMDAS

39 + 19 * 989/2 * 3 + 55

39 + 9395.5 * 3 + 55

39 + 28186.5 + 55

28225.5 + 55 = 28280.5

Step-by-step explanation:

Hope this is right! Have a nice day

edit: you said its wrong so is this right ? if so u did not use order of operations correctly 57968.5

Find the length of side x in simplest radical form with a rational denominator.

Answers

9514 1404 393

Answer:

  (4√3)/3

Step-by-step explanation:

You know the ratio of side lengths is ...

  x : 4 = 1 : √3

Then ...

  x = 4/√3

Multiply by (√3)/(√3) to rationalize the denominator:

 x = (4√3)/3

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios.

6 ounces of pistachios cost $7.50

Answers

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 mc022-1. ... The final cost should have been $16.80

Question 4 of 10
If a radius of a circle bisects a chord, then it is
to that chord
O A. perpendicular
B. adjacent
C. congruent
D. parallel
SUBMIT

Answers

Answer:

If a radius of a circle bisects a chord, then it is perpendicular to that chord.

So. A. perpendicular

Solve the problem by entering and solving an equation.
What is the temperature in degrees Fahrenheit of a freezer kept at -30°C?
What is the temperature in
degrees Fahrenheit.hat is the equation (___)= (___) (x- _) and what is the temperature in degrees Fahrenheit

Answers

Answer: -26.60

Step-by-step explanation:

Heres -30 degrees as faherenheit

Answer:

-22

Step-by-step explanation:

−30 =  

5

9

(x − 32)  

Solve the equation.

9

5

(−30) =  

9

5

(  

5

9

(x − 32)) Multiply both sides by  

9

5

.

 

−54 = x − 32  

+32  + 32 Add 32 to both sides.

−22 = x  

The temperature is −22 degrees Fahrenheit.

Find the slope of a line perpendicular to y = -3/4x + 5. show your work.​

Answers

Answer:

4/3

Step-by-step explanation:

All you have to do is find the reciprocal of the slope and switch to the opposite sign.

-3/4

flip

-4/3

switch

4/3

Sorry if this doesn't really make much sense.  I don't know how else to explain this.

A bag contains 10 red marbles .15 yellow marbles, 5 Green marbles and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly 2 of the five are blue?

Answers

Answer:

c

Step-by-step explanation:

Similarity - Item 33751 Select the two figures that are similar to each other. help pls​

Answers

Answer:

Similar: First two shapes only

Step-by-step explanation:

Triangle Similarity Theorems

There are three triangle similarity theorems that specify under which conditions triangles are similar:

If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).

If the three sides are in the same proportion, the triangles are similar (SSS theorem).

If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).

The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.

The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.

The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar

Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35

Answers

Answer:

5/6, 7

Step-by-step explanation:

YOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO PLEASE HELP

Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2-6x-7. If there is more than one x-intercept, separate them with commas.

Answers

Answer:

x = -1, 7

( x + 1 ) , ( x - 7 )

plz follow me

A division problem divides a 3-digit number by a 1 digit number. The quotient is 307 r3. What could the division problem be?

Answers

Answer:

There is no solution to this problem.

Step-by-step explanation:

The 1 digit number cannot be 1, since there would be no remainder.

The 1 digit number cannot be 2, since the remainder could be 0 or 1.

The 1 digit number cannot be 3, since the remainder could be 0, 1, or 2.

So, the 1 digit number must be greater than 3.  Let's start with 4.  Since the quotient is 307 (remainder 3), 4 x 307 is already more than 3 digits.

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States

Answers

Answer:

Step-by-step explanation:

The null and the alternative hypothesis can be computed as:

[tex]H_o: \mu_{c} \ge \mu_{us}[/tex]

[tex]H_a: \mu_{c} < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{ x_c - x_{us} }{\sqrt { \dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us} ^2}{n_{us}} } }[/tex]

[tex]t = \dfrac{ 19 - 21 }{\sqrt { \dfrac{7^2}{100} + \dfrac{8^2}{130} } }[/tex]

t = -2.017

degree of freedom = (n₁-1)+(n₂-1)

= (100-1) + (130-1)

= 228

At t = -2.017 and 228 df

P-value = -0.224

Decision rule: Not to reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Thus, there is sufficient evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United states.

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used

Answers

Answer:

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches  (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48  = 292.48 in^2

Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=

Answers

Answer:

Step-by-step explanation:

SOLUTION:

The opposite sides of a rectangle are parallel and congruent. So, ZY = WX.

2x + 3 = x + 4

x=1

Use the value of x to find WX. WX = 1 + 4 = 5.

Classify each angle in the diagram as an angle of elevation or an angle of depression *

angle of elevation: <1, <4 angle of depression: <2, <3
angle of elevation: <2, <3 angle of depression: <1, <4
angle of elevation: <1, <3 angle of depression: <2, <4
angle of elevation: <2, <4 angle of depression: <1, <3

Answers

Answer:

Angles of depression are <2 and <4.

Angles of elevation are <1 and <3

Step-by-step explanation:

An angle of depression is the angle below a line of sight while the angle of elevation is the angle above a line of sight.

Angles of depression are <2 and <4.

Angles of elevation are <1 and <3

which values are solutions to the inequality below? check all that apply √x < 5

A.) 1296
B.) 17
C.) 22
D.) 36
E.) -2
F.) 77

Answers

Answer:

B); C).

Step-by-step explanation:

1) if sqrt(x)<5, then x∈(0:25);

2) if x∈(0;25), then the values 17; 22 are correct

Mateo has 31/2 pounds of apples he uses 3/4 of a pound of apples for each batch of applesauce how many batches of applesauce can he make​

Answers

Answer:

20 2/3

Step-by-step explanation:

Tyler's fish tank has 12 orange fish and 4 grey fish. What is the ratio of orange fish to grey fish

Answers

Answer:

12/4

simplified = 3

Step-by-step explanation:

Answer:

12:4 = 3:1

Step-by-step explanation:

You would divide the numbers by 4

Hope this helps

A water pipe is 4t beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
0 -4.583 ft
0 -4.583 ft
0 -4.583 ft
O -4.583 ft

Answers

They are the same so ima go with the second one
They are all the same though

14. What proportion of the world's people live in Africa? In Asia? In North America? In Latin America? In Europe? In Oceania? What are the projected proportions? Draw a bar chart showing the regional distributions of the world's population for this year, 2030 and 2050.

Answers

Incomplete question. However, I assumed you are referring to the information found in the 2016 World Population Data Sheet.

Explanation:

Proportions of the world's people who live in:

Africa: 16.2%Asia: North America: 4.8%Latin America: 8.5%Europe: 9.9%Oceania: 0.5%

Since the report stated that as of 2016 the world's population stood at 7,418,000,000 (Seven billion, Four hundred and Eighteen Million), we simply find the ratio of each continent to the population. For example, Asia is said to be 4,437,000,000 (Four billion, Four hundred and thirty-seven million) , the ratio will be [tex]\frac{4,437,000,000 }{7,418,000,000 } *100=[/tex] 59.8% approximately.

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