A number cube is tossed and the spinner below is spun. Find P(3 and C).

Answers

Answer 1

Answer:

[tex]P(3\ and\ C) = \frac{1}{24}[/tex]

Step-by-step explanation:

Given

Cube and Spinner (See attachment for spinner)

Required

Find P(3 and C)

In the attached spinner, there are 8 partitions and C = 2

So:

[tex]P(C) = \frac{2}{8}[/tex]

[tex]P(C) = \frac{1}{4}[/tex]

In a number cube, there are 6 faces and 1 side is 3.

So:

[tex]P(3) = \frac{1}{6}[/tex]

P(3 and C) is calculated as:

[tex]P(3\ and\ C) = P(3) * P(C)[/tex]

[tex]P(3\ and\ C) = \frac{1}{6} * \frac{1}{4}[/tex]

[tex]P(3\ and\ C) = \frac{1}{24}[/tex]

A Number Cube Is Tossed And The Spinner Below Is Spun. Find P(3 And C).

Related Questions

find the value of given expression

[tex] \sqrt{99 - ( - 1)} [/tex]

Answers

Answer:

10

Step-by-step explanation:

Note that when there are two negative signs directly next to each other, you are adding:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]

Simplify:

[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]

10 is your value for the given expression

Answer:

± 10

Step-by-step explanation:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

[tex]A=l^3[/tex] where l is the side length

Plug in 9 ft as l

[tex]A=9^3\\A=729[/tex]

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

Answer:

I think It's A

Step-by-step explanation:

Which equation demonstrates the multiplicative identity property?

Answers

Answer:

B. (-3+5i)(1)= -3+5i

Step-by-step explanation:

The multiplicative identity property states that any number or polynomial times 1 will be equal to itself. In answer B, a polynomial is multiplied by 1 and then equals itself. None of the other answers have 1 as a term, and therefore cannot be correct.

need help due today .

Answers

Answer:

Radius=7.5cm

Diameter=15cm

Step-by-step explanation:

The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.

HOPE THAT HELPS AND MAKES SENSE! :)

7.5cm for radius and 15cm for Diameater

ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically​

Answers

Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12

Answers

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest

Answers

rttrtbtrertbr4gbigbnerunburhurh

7,469.25 to the nearest cent

Answers

It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:

Point T bisects UV. Find UV if UT = 2 inches

Answers

4 inches. Bisect means the halfway point.

5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.

Answers

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

(I forgot to place the picture) A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service.

Answers

Answer:

5 minutes costs 5.20 10 minutes cost 7.20 $20 gets you 42 minutes

Step-by-step explanation:

for 5 and 10 multiply the number of minutes by the price per minute then add 3.2 base fee.  5*.4=2 +3.2=5.2      10*.4=4 +3.2=7.2

For $20 subtract the 3.2 base fee (16.8) and divide that by the .4 a minute fee to get 42 which would be 42 minutes.

What is the measure of E in degrees?

Answers

Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *

Answers

To find the component form, u only need to know how to substitute figures for letters. What do I mean by this?

If initial side is (x1,y1)
Then x1 = -1, and y 1 = 16
If the terminal side is x2, y2
Then x2 =1 and y2 =9

This component from p is x2-x1 y2-y1
In this case <[1-(-1)], (9-16)
Which give us
2,-7

If p = x ,y using Pythagorean’s theorem
2(2) + (-7)(7)
4+49
53
Square root of 53 is
7.28010988928
7.3

can someone help with this i don't get it ​

Answers

Answer:

Lord have mercy thats a bunch of numbers I woud help but i dont know how to start

Step-by-step explanation:

Please hurry! This is due soon.

Answers

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]

[tex]2x=e^7^y+\sqrt{3}[/tex]

[tex]e^7^y=2x-\sqrt{3}[/tex]

[tex]7y=ln(2x-\sqrt{3})[/tex]

[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

[tex]g(f(x))[/tex]

[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]

[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]

2s cancel.

[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]

The natural log and e cancel.

[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]

[tex]\sqrt{3}[/tex]s cancel.

[tex]\frac{7x}{7}[/tex]

7s cancel.

[tex]x[/tex]

Hope this helps!

Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.

Answers

Answer:

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Step-by-step explanation:

Recipe for 1 smoothie:

1/3 of an apple

1/4 of a lemon

2/3 of peach

A family of 6 arrives and they all want that smoothie.

Multiply every recipe for 1 smoothie by 6

Recipe for 6 smoothies:

6 × 1/3 of an apple

= 6/3 = 2 apples

6 × 1/4 of a lemon

= 6/4 = 3/2 of a lemon

6 × 2/3 of peach

= 12/3 = 4 peaches

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,​

Answers

Answer:

2 ft

Step-by-step explanation:

[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]

[tex] 7x = 4 \times 3.5 [/tex]

[tex] x = 2 [/tex]

Answer: 2 ft

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Answers

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner

Answers

Answer:

5.52 inch

Step-by-step explanation:

Recall :

Area of Sector : θ/ 360 * πr²

Sectors that do not allow movement : (8-3-2) = 3

Total sectors = 8

θ/ 360 = 3/8 ; Area = 35.9

Radius = r

35.9 = 3/8 * π * r²

35.9 / (3/8 * π) = r²

30.472866 = r²

r = √30.472866

r = 5.52 inch

The radius of the spinner is 5.520 inch whose  [tex]\frac{3}{8}[/tex]  sector area is 35.9 inches square.

It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.

It is required to find the radius of the spinner.

What is the area of the sector?

The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.

We know the formula of sector area (A):

[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex]    Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree

The remaining sectors = ( Total sectors - Three sectors - Two sectors)

= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token

Total sector = 8

[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]

Putting these values in the above formula, we get:

[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159

[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]

Thus, the radius of the spinner is 5.520 inch.

Learn more about the area of sectors here:

https://brainly.com/question/15849991

The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.

Answers

Question:

The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.

Answer:

The equivalent is 37.5%

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex]

Required

The equivalent

The model is not shown, but the question can still be solved.

We have:

[tex]\frac{3}{8}[/tex]

Multiply by 100%

[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]

[tex]\frac{3}{8} = 0.375 * 100\%[/tex]

[tex]\frac{3}{8} = 37.5\%[/tex]

Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers

Answers

Answer:

7,5,3,1

Step-by-step explanation:

Solve the system by substitution.
y = 7x – 20
y = 2x

Answers

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

HELPPME PLEASE ASAP i will give brainliest

Answers

Since it’s a right angle (90 degree angle) and you know that the other angle is 73

You do 90-73 = 17

X = 17 degrees

Answer:

don't know but I think these is the answer =

17

Step-by-step explanation:

90 - 73 = 17

The total cost, c, of belonging to two different gyms for m months is shown on the graph. The lines intersect at the point (4,250). Enter numbers in the boxes to explain what the solution means in the situation.

Answers

Answer: at 4 months the cost for each gym is $250

Step-by-step explanation:

At 4 month, the cost for each gym is $250

The y axis of the graph represents the membership cost and the x axis represent the number of month.

The lines representing gym A and B intersect at (4, 250).

The point where the lines intersect is when the cost and the month for each gym are the same.

Therefore, at 4 month, the cost for each gym is $250

learn more on linear equation here:https://brainly.com/question/13314270

A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?

Answers

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

The two  lengths into which the cable is divided is 18 and 24.

Given that,

A cable that is 42 feet long is divided into lengths in the ratio 3:4.

Based on the above information, the calculation is as follows:

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

= 18

And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

= 24

Learn more: https://brainly.com/question/14279491?referrer=searchResults

Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is

Answers

Answer:

point form : (9,2) equation form : x=9 y=2

Step-by-step explanation:

Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day

Answers

The answer for the question is 59

Answer:

53°

Step-by-step explanation:

not sure what you mean by nearest degree but use the cosine ratio to get the answer.

in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75

<C=cos^1 (45/75)

<C= 53°

please help as soon as possible and please don’t take advantage of the points


a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours

Answers

Answer:

2 hours

Step-by-step explanation:

if there 3 cats and 3 dogs how mush would be together

Answers

Answer:

6

Step-by-step explanation:

3+3 = 6

Answer:

There is 1 cat for each dog so the ratio would be 1:1 together.

Step-by-step explanation:

This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1

What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...

Answers

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15

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