determine the sample space of all the possible outcomes of choosing a card number 1 2 3 or 4 and a blue green or yellow marble how many outcomes involves choosing a Blue Marble

Determine The Sample Space Of All The Possible Outcomes Of Choosing A Card Number 1 2 3 Or 4 And A Blue

Answers

Answer 1

There are a total of 4 outcomes that involve choosing a blue marble

Here, we want to write a sample space for the selection

For us to have the sample space, we will have to write out the possible outcomes

We shall be representing the blue marble by b, the green by g and the yellow by y

We have the sample space as follows;

{1B,1G,1Y,2B,2G,2Y,3B,3G,3Y,4B,4G,4Y}

From the sample space, we can see that there are actually 12 possible results

Now, to get the outcomes involving blue marbles, we simply select the members of the sample space having B at the back

We have these as 1B, 2B, 3B and 4B

This is a total of 4 outcomes


Related Questions

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Solve the inequality and describe the solution set.y-6 > 1232, Math symbolsRelations► Geometry► Groups► Trgonometry3 of 3 AnsweredType here to searcho66F Mosty clou

Answers

The problem gives the inequality:

[tex]y-6\ge12[/tex]

solving for y we get:

[tex]\begin{gathered} y\ge12+6 \\ y\ge18 \end{gathered}[/tex]

The solution set is all real numbers equal or greater than 18, i.e.,

[tex]\lbrack18,+\infty)[/tex]

what is the y intercept of y = 250 + 15x

Answers

The y-intercept of y = 250 + 15x is (0,250)

What is y-intercept?

A line's y-intercept is the distance in y coordinates from the line's intersection with the y-axis at its origin. A location on the graph where x is 0 is known as the y-intercept. The y-intercept of a line that is perpendicular to the x-axis is undefined.

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

Here to determine the y-intercept put x=0,

Given, y = 250 + 15x

Replacing x by 0 in the above equation we get,

y = 250 + 15×0

y=250 +0

y=250

Therefore, the y-intercept of y = 250 + 15x is (0,250)

To know more about y-intercepts, visit:

https://brainly.com/question/14180189

#SPJ13

At a school on Monday, 3 out of every 4 students were wearing shirts. There were 600 students present in school on Monday. How many of the students were wearing shirts? A. 599, because 600 - (4 - 3) = 599 B. 450, because C. 50, because 600 - (4 x 3) = 50 600 - Student D. 800, because 450 4= Students 3=sludents 4 600 600 800 so

Answers

3 out of 4 students mean

3/4th students were wearing shirts.

Total students = 600

So,

3/4th of 600 students were wearing shirt.

Let us calcualte (3/4)th of 600:

[tex]\begin{gathered} \frac{3}{4}\times600 \\ =\frac{3\times600}{4} \\ =\frac{1800}{4} \\ =450 \end{gathered}[/tex]Answer

450 students

work out sues total pay

Answers

Sue's total pay for the year given the salary, bonus and share of profit is  £38,110.

What is the total pay?

Sue's total pay for the year is a function of the salary, the share of the profit that she earns and the bonus.

Salary for the year = monthly salary x number of months in a year

£1410 x 12 = £16,920

The next step is to determine the profit last year

Profit = total revenue - total cost

£549,000 - £473,500 = £75,500

Now determine the share of profit that Sue would earn.

Share of profit = 26% x  £75,500

0.26 x  £75,500 = £19,630

Now determine the total bonus she would earn : 4 x £390 = £1560

Total salary = £1560 +  £19,630 +  £16,920 = £38,110

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

Please help me with the question below(also please answer the question in a maximum of 5-10 minutes).

Answers

Given that Tom's yard is in the shape of a trapezoid, you know that the formula for calculating the area of a trapezoid is:

[tex]A=\frac{(b_1+b_2)}{2}\cdot h[/tex]

Where "h" is the height of the trapezoid and these are the bases:

[tex]\begin{gathered} b_1 \\ b_2 \end{gathered}[/tex]

In this case, you can identify that:

[tex]\begin{gathered} b_1=65\text{ }ft \\ b_2=50\text{ }ft \\ h=30\text{ }ft \end{gathered}[/tex]

Then, you can substitute values into the formula and evaluate:

[tex]A=\frac{(65\text{ }ft+50\text{ }ft)}{2}\cdot30\text{ }ft[/tex][tex]A=\frac{115\text{ }ft}{2}\cdot30\text{ }ft[/tex][tex]A=\frac{3450\text{ }ft^2}{2}[/tex][tex]A=\frac{3450\text{ }ft^2}{2}[/tex][tex]A=1725\text{ }ft^2[/tex]

Hence, the answer is:

[tex]1725\text{ }ft^2[/tex]

On a particular day, the amount of untreated water coming into the plant can be modeled by f(t) = 100 + 30cos(t/6) where t is in hours since midnight and f(t) represents thousands of gallons of water. The amount of treated water at any given time, t, can be modeled by g(t) = 30e^cos(t/2)a) Define a new function, a′(t), that would represent the amount of untreated water inside the plant, at any given time, t.b) Find a′ (t).c) Determine the critical values of this function over the interval [0, 24).

Answers

a)The amount of untreated water inside the plant will be the difference between the difference f(t) - g(t), then, a(t) can be defined as follows:

[tex]a(t)=100+30cos(\frac{t}{6})-30e^{cos(\frac{t}{2})}[/tex]

b) the derivative of a(t) is the following:

[tex]a^{\prime}(t)=-5sin(\frac{t}{6})+15sin(\frac{t}{2})e^{cos(\frac{t}{2})}[/tex]

c) the critical values of a(t) over the interval [0, 24) are:

[tex]\begin{gathered} t=0 \\ t=6\pi \end{gathered}[/tex]

In an arithmetic sequence with a1=-5 and d=-3, which term is -24?The term -24 is the ___th term of the sequence

Answers

Given:

[tex]\begin{gathered} a_1=-15 \\ d=-3 \\ a_n=-24 \end{gathered}[/tex]

To find:

The value of n.

Explanation:

The nth term formula for the arithmetic sequence is,

[tex]a_n=a_1+(n-1)d[/tex]

Substituting the given values we get,

[tex]\begin{gathered} -24=-15+(n-1)(-3) \\ -24=-15-3n+3 \\ -24=-3n-12 \\ -3n=-24+12 \\ -3n=-12 \\ n=4 \end{gathered}[/tex]

Thus, -24 is the 4th term of the sequence.

Final answer:

The term -24 is the 4th term of the sequence.

An envelope is 15 centimeters wide, and it measures 17 centimeters along the diagonal. The envelope is __ centimeters tall.

Answers

An envelope is rectangular in shape.

Given the width = 15cm, and diagonal = 17cm

Let h represent the tall length of the envelope

Applying Pythagoras theorem, we have

[tex]\begin{gathered} 17^2=15^2+h^2 \\ 289=225+h^2 \\ h^2=289-225 \\ h^2=64 \\ h=\sqrt[]{64} \\ h=8\operatorname{cm} \end{gathered}[/tex]

The envelope is 8cm tall

The fraction models below represent two fractions of the same whole: How much of the8음을16

Answers

[tex]\begin{gathered} \frac{5}{8}x=\frac{1}{2} \\ x=\frac{1}{2}\times\frac{8}{5}=\frac{4}{5} \end{gathered}[/tex]

So 4/5 times 5/8 is 1/2.

compare and contrast the graphs y=2x+1 with the domain {1,2,3,4} and y=2x+1 with the domain of all real numbers

Answers

Comparison of both the graphs y=2x+1 with domain {1,2,3,4} and set of all real numbers is :

Slope =2 , y-intercept =1 and x-intercept = -1/2 is same.

Contrast is range is different:

Range = { 3, 5, 7, 9} for domain {1,2,3,4}

Range = set of all real numbers for domain all real numbers.

As given in the question,

Given function for the graphs are:

y =2x+1

Different domains

Domain ={1,2,3,4}

Domain =All real numbers

Compare with y=mx +c

Slope m =2

For y-intercept put x=0

y=2(0) +1

 =1

For x-intercept put y=0

0 =2x+1

⇒x=-1/2

Contrast:

For domain ={1,2,3,4}

Range is :

y = 2(1)+1

  =3

y=2(2)+1

 =5

y=2(3) +1

 =7

y=2(4)+1

 =9

Range ={ 3, 5, 7,9}

For domain= all real numbers

Range = set of all real numbers

Therefore, comparison of both the graphs y=2x+1 with domain {1,2,3,4} and set of all real numbers is :

Slope =2 , y-intercept =1 and x-intercept = -1/2 is same.

Contrast is range is different:

Range = { 3, 5, 7, 9} for domain {1,2,3,4}

Range = set of all real numbers for domain all real numbers.

Learn more about graphs here

brainly.com/question/17267403

#SPJ1

SOMEONE PLEASE HELP ME QUICKLY WITH THIS,ITS AN EMERGENCY!!!!! pls explain how you get the solution as well, sorry!

Thank you <3

Answers

The statement that reflects the running rates is Pepe ran 9/8  mile in 1/2 hour and Paul ran 19/24 mile in 1/3 of an hour.

What is the speed?

Speed is the total distance run per time. It can be determined by dividing the total distance travelled by the total time.

Speed = distance / time

Speed if Paul ran 1/5 mile in 4/15 hour

Speed = 1/5 ÷ 4/15

1/5 x 15/4 = 3/4 miles per hour

Speed if Pepe ran 8/10 mile in 1/4 of an hour

Speed = 8/10 ÷ 1/4

8/10 x 4 = 16/5 = 3 1/5 mile per hour

Difference in speeds =

[tex]3\frac{1}{5}[/tex] - [tex]\frac{3}{4}[/tex]

[tex]3\frac{4 - 15}{20}[/tex] = [tex]2\frac{9}{20}[/tex]

Speed if Paul ran 4/15 mile in 1/5 hour

Speed = 4/15 ÷ 1/5

4/15 x 5 = 4/3 = 1 1/3 miles per hour

Speed if Pepe ran 1/4 mile in of 8/10 an hour

Speed = 1/4 ÷ 8/10

1/4 x 10/8 = 5 / 16

Difference in speeds = [tex]1\frac{1}{3} - \frac{5}{16}[/tex] = [tex]1\frac{1}{48}[/tex]

Speed if Paul ran 1/3 mile in 19/24 hour

Speed = 1/3 ÷ 19 / 24

1/3 x 24/19 = 8/19 miles per hour

Speed if Pepe ran 1/2 mile in of 9/8 an hour

Speed = 1/2  ÷ 9/8

1/2 x 8/9 = 4/9 mile per hour

Difference = 4/9 - 8/19 = 4/171

Speed if Pepe ran 9/8  mile in 1/2 hour

Speed = 9/8 ÷ 1/2

9/8 x 2 = 2 1/4  miles per hour

Speed if Paul ran 19 / 24 mile in of 1/3 an hour

Speed =  19 / 24  ÷ 1/3

19 / 24 x 3 = 2 3/8 miles per hour

Difference =

[tex]2\frac{3}{8} - 2\frac{1}{4}[/tex]

[tex]\frac{3 - 2}{8}[/tex] =  [tex]\frac{1}{8}[/tex] miles per hour

To learn more about speed, please check: https://brainly.com/question/7359669

#SPJ1

Compare the triangles and determjne whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS or HL

Answers

Since the triangles has a pair of congruent (equal) angles , and an equal side between the angles. It is congruent by ASA ( angle -side -angle)

What is a stem and leaf plot? How is it used and how exactly do i solve one? (an example would be great)

Answers

A stem and leaf plot is a table where each of the data is divided into two parts. The stem, that is the first digit and the leaf is the last digits. Let's say that we have the following set of data.

[tex]10,\text{ 12, 25, 28, 29, 35, 38, 40, 44}[/tex]

If we want to make a stem and leaf plot of that data, we first write a column where we place the first digit of each number without repetition, like this:

[tex]\begin{gathered} 1 \\ 2 \\ 3 \\ 4 \end{gathered}[/tex]

These are the stems. Now the leaves are the last digit of each number put in order next to the corresponding first digit, like this:

[tex]\begin{gathered} 1\parallel\text{ 0 2} \\ 2\parallel\text{ 5 8 9} \\ 3\text{ }\parallel\text{5 8} \\ 4\text{ }\parallel\text{0 4} \end{gathered}[/tex]

write an equation of each parabola in vertex form. Vertex (3,-2) Point (2,3)

Answers

The equation of Parabola in the vertex form with vertex (3,-2) and point(2,3) is y = 5(x-3)² - 2 .

The equation of parabola with vertex (h,k) is denoted by the equation

y = a(x-h)² + k

In the question ,

it is given that

the vertex of the Parabola is (3,-2) and the point is (2,3)

So, the equation of the parabola with vertex (3,-2) will be

y = a(x-3)² - 2

Since the point (2,3) lies on the parabola ,

So, 3 = a(2-3)² - 2

3 + 2 = a*(-1)²

5 = a

Substituting a in the equation  y = a(x-3)² - 2 ,

we get

y = 5(x-3)² - 2

Therefore , The equation of Parabola in the vertex form with vertex (3,-2) and point(2,3) is y = 5(x-3)² - 2 .

Learn more about Parabola here

https://brainly.com/question/8091259

#SPJ1

I am struggling with this question. could you help me please??

Answers

Problem

Solution

Let x = age, W= weight the two variables of interest

We have the following probabilities given:

P(x<37) =0.142

P(W< 2500) = 0.051

P(x <37 AND W<2500)= 0.031

And we want the following probability and we can use the total probability rule:

P(x < 37 OR W< 2500) = P(x<37) +P(W< 2500) -P(x<37 AND W<2500)

If we replace we got:

P(x < 37 OR W< 2500)= 0.142+ 0.051- 0.031= 0.162

22The value of the hypotenuse in the right triangle shown isinches.14 in48 inFigure not drawn to scale

Answers

SOL

Step 1 :

In this question, we are meant to find the value of

the hypotenuse in the right angle below:

Before, we proceed, we still need to remind ourselves of Pythagoras' theorem,

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Step 2 :

From the above theorem, we can see that that the two adjacent sides are :

14 inches and 48 inches.

From the principle of Pythagoras' Theorem,

[tex]\begin{gathered} c^2=a^2+b^2 \\ \text{where a = 14 inches} \\ b\text{ = 48 inches} \\ c^2=14^2+48^2 \\ c^2\text{ = ( 14 x 14 ) + ( 48 x 48 )} \\ c^2\text{ = 196 + 2304} \\ c^2\text{ = 2500} \\ \text{square root both sides, we have that :} \\ c\text{ = 50 inches} \end{gathered}[/tex]

CONCLUSION :

The value of the hypotenuse in the Right angle, c = 50 inches.

Which values are solutions to the inequality below?Check all that apply.√x ≤ 5A. 1B. 18C. -5D. 25E. 24F. 625

Answers

Given the inequality:

[tex]\sqrt[]{x}<5[/tex]

We need to solve the inequality to get a range of values for x.

This we can do by finding the square of both sides:

[tex]\begin{gathered} (\sqrt[]{x})^2<5^2 \\ x<25 \end{gathered}[/tex]

On checking the options given, we will pick the numbers that are strictly less than 25.

Therefore, the correct options are:

OPTION A

OPTION B

OPTION C

OPTION F

Polynomial Functions:Find P(-1) and p(2) for each function.“P(x) = 4-3x”

Answers

[tex]P(x)=4-3x[/tex]

P(-1):

[tex]\begin{gathered} P(-1)=4-3(-1) \\ P(-1)=4+3 \\ P(x)=7 \end{gathered}[/tex]

P(2):

[tex]\begin{gathered} P(2)=4-3(2) \\ P(2)=4-6 \\ P(2)=-2 \end{gathered}[/tex]

Four points are labeled on the number line. M K L zo 0.5 1 Which point best represents 3? F. Point K G. H. Point 2 Point M Point N J.

Answers

The point that best represents 1/3 is point M .

The number line ranges from 0 to 0.5 with 10 divi

Given ΔABC with m∠B = 62°, a = 14, and c = 16, what is the measure of A?

Answers

1) Let's sketch this out to better grasp it

2) We can see that there are two legs and two angles (one of them is missing) so let's solve it using the Law of Sines:

[tex]undefined[/tex]

Which expression demonstrates how the Distributive Property could be used to find the product of 5 and 48?
A. 50 − 5 (2)
B. 5 (50) − 2
C. 5 (50) + 5 (2)
D. 5 (50 − 2) + 5 (2)
E. None of these

Answers

Answer:

Step-by-step explanation:

C

J(-6-2)3-*NWMark this and return2--9-8-7-6-5-4-3-2-3₁ 1 2 3 4 5 61-5737-2-cd-6--7--8-2 do-9--10--11--12--13-8 9 10 11 xK(8,-9)What is the x-coordinate of the point that divides thedirected line segment from J to K into a ratio of 2:5?X == (m²²7 m )(x₂ − ×₁) + X₁m+n0 000-22Save and ExitNextSubmit

Answers

Use the given formula:

[tex]x=(\frac{m}{m+n})(x_2-x_1)+x_1[/tex]

Being m: 2 and n: 5

x1: -6

x2: 8

[tex]\begin{gathered} x=(\frac{2}{2+5})(8-(-6))+(-6) \\ \\ x=\frac{2}{7}*(14)-6 \\ \\ x=4-6 \\ \\ x=-2 \end{gathered}[/tex]Then, the x-coordinate of th point that divides the directed line segment from J to K into a ratio 2:5 is -2Answer: -2

Send me Answers for Questions A, B, and C

Answers

Answer: A) 4 B) 30 C) 6

Step-by-step explanation:

For question A, you subtract the highest number and the lowest number (10-6)

For question B, you add all the frequency numbers together

For question C, you use your answer on B and divide it by 5

8. Anna withdrew $50 from her checking account. She spent $28 on a pair of shoes. What fraction of her money does Anna have left?

Answers

Explanation:

If she spent $28 of the $50 she withdrew, she now has:

[tex]50-28=22[/tex]

$22

The fraction is:

[tex]\frac{22}{50}=\frac{11}{25}[/tex]

Answer:

Anna has 11/25 of her money left.

Hello, I really need help on this assignment I don't understand what to do.

Answers

Answer:

-2 and -10

Explanation:

There are two numbers at a distance of 4 units from -6, the number that is 4 units to the right and the number that is 4 units to the left.

So, the number that is 4 units to the right is equal to

-6 + 4 = -2

And the number that is 4 units to the left is equal to

-6 - 4 = -10

Therefore, the numbers are -2 and -10 and they are represented as

A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 32 feet
per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t)=1612 +32t+5. How long will it take the rocket to reach its maximum height? What is the maximum height?

Answers

You have to find the vertex.

Find X of the vertex by using -b/2a

Then take X and plug back into equation for y.

X= time
Y= height

Equation makes a parabola that opens down.

Use the graph to answer the question.Which statement matches the vector operation shown on the coordinate grid?

Answers

We have the correct statement about the vectors in the graph.

We can already see that it is a sum of vectors like:

[tex]v+w=u[/tex]

As v has starting point at (-1,0) and ending point at (3,3), we can describe the vector as:

[tex]v=(3-(-1))\hat{i}+(3-0)\hat{j}=4\hat{i}+3\hat{j}[/tex]

As w starts at (3, 3) and ends on (5, 2), we can describe it as:w

[tex]w=(5-3)\hat{i}+(2-3)\hat{j}=2\hat{i}-1\hat{j}[/tex]

Finally, u starts at (-1,0) and ends at (5,2), so it can be described as:

[tex]u=(5-(-1))\hat{i}+(2-0)\hat{j}=6\hat{i}+2\hat{j}[/tex]

Answer: v + w = u for v = 4i + 3j, u = 2i - j and u = 6i + 2j [Option C].

what property is used to solve this?

4x-3

x=2

4(2)-3

Answers

commutative property

Hello! I need a little bit of help with this question please. (This information is not from an open test, it is a book as I'm studying for the ASVAB I am going to take later on.)

Answers

Given:

[tex]\sqrt{100}-\sqrt{64}[/tex]

To find:

We need to solve this sum and find the final answer

Step-by-step solution:

To solve this problem, we need to know the square root of 100 and 64.

√100 = 10

√64 = 8

[tex]\begin{gathered} =\sqrt{100}-\sqrt{64} \\ \\ =10\text{ - 8} \\ \\ =2 \end{gathered}[/tex]

Final answer:

Thus 2 (Option A) is the correct answer.

Which formula can be used to find the sum of the mesures of all the interior angles of a regular polygon with n sides?

A. S = (n-2)180 degrees
B. S = (n+2)180 degrees
C. S = (n-2)90 degrees
D. S = (n+2)90 degrees

Answers

Answer:180(n – 2),

Step-by-step explanation:

Other Questions
how many bars are in a chorus? joe nanton's trombone and plunger solo begins at 00:32. what is nanton's style of play often called? describe the sound of the accompanying trombone section during his solo. how do these supporting accompaniments give harmonic and rhythmic support to nanton's solo? Kaley has an artistic personality type. She is creative, original, independent, chaotic, inventive, and is good with media, graphics, and text. What career would you recommend for her? Why? the following augmented matrix is in row-echelon form and represents a linear system. solve the system by using back-substitution if possible. Which number sentence can be used to find the difference between five times three and two times six? x= 5x3-2x6x = 5x2+3x6x = 5(3+2x6)x = 5x3+2x6 How or what events occurred to put the Harlem Renaissance in the history books? In a class of 36 students, 25study Chemistry, 22 studyMaths and 25 study Physics, 17study Physics and Maths,18study Physics and Chemistryand 15 study only one of thethree subjects. Find the;a) number of students whostudy all three subject?b) number of students whostudy only Maths andChemistry?c) Probability that a studentselected at random study onlytwo of the three subjects? the cost of data storage has plummeted recently, making data mining feasible for more firms.a. Trueb. False steven manley buys cake mix for $5, bakes a delicious german chocolate cake, sells it to a market down the street for $22, and then the market sells it for $38. how much value did steven manley add? no dollar sign needed. Companies go through different phases to reach product/market fit. These phases are the:A: idea stage, the prototype stage, the launch stage, the traction stage, the monetization stage, and the growth stage.B: idea stage, the prototype stage, the launch stage, the traction stage, and the growth stage.C: the prototype stage, the launch stage, the traction stage, the monetization stage, and the growth stage.D: idea stage, the traction stage, the monetization stage, and the growth stage. if the population of a city is 158,000 and isdecreasing by 8% every year, what will thepopulation be in 5 years? i need help please help A side of the triangle below has been extended to form an exterior angle of 133. Find the value of x. 133 21 xo Pamela is 8 years older than Jiri. The sum of their ages is 62. What is Jiri's age? solon's reforms in athens select one: a. established democracy in athens. b. established social equality. c. gave citizens a place in the assembly. d. abolished slavery. e. eliminated the position of chief magistrate. Why can the big candy makers produce candy that is less expensive per piece Suppose that you earn $15 Debra earns $12.45 per hour and worked 26 34 hours last week. What is her gross pay? Find the equaton of the line in point-slope form that passes through (-4,6) and (-2,5) the expansion of participatory democracy in the jacksonian era most likely influenced the second great awakening by responses giving rise to individualistic beliefs giving rise to individualistic beliefs transforming gender roles in the family transforming gender roles in the family increasing membership in the national political parties increasing membership in the national political parties generating opposition to the abolitionist movement if a 95% confidence interval for the mean head circumference for adults, based on the results of measuring head circumference for 30 adults, is (21.42, 23.18) inches, what is the margin of error? inches.