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
MrRa [10]
3 years ago
12

Jacqueline will spend a fair spinner with the numbers 0 1 2 3 and 4 a total of three times if event a spinner lands on numbers a

re greater than 2 and event be total sum of 9 which of the following best describes event A and B
Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Events are said to be INDEPENDENT if the occurence of one does not rest or depend on the outcome of another. Therefore, since the outcome of event A and B does not depend on each other, then both events are INDEPENDENT

Giving a brief description of the options given :

• Dependent events are simply events where the outcome of one event affects the occurence of the other. This is usually related to selection without replacement, where the number of subjects changes after each selection.

• Mutually Exclusive events simply refers to a scenario whereby two events cannot occur simultaneously. For instance, obtaining a head and a tail simultaneously during a single coin throw.

• Complement events describes two exactly opposite events. For instance, the Complement of obtaining a 4 on a 6 - sided die roll is (1, 2, 3, 5, 6)

For the event described above , the occurrence of A does not hinder the occurrence of the other (not a dependent event ) and it is possible to have both events simultaneously (not Mutually exclusive) (If we have 3 in all throws then both events have occurred )

Therefore, the best description for events A and B is that both events are INDEPENDENT.

Learn more about independent events :

brainly.com/question/1393117

You might be interested in
I need help can you please explain where does the 8 come from
BaLLatris [955]
Since you want to cancel something out, the book makes the 24 3 times eight so that both of the threes can be canceled out
5 0
3 years ago
I have 8 slices of pizza in a box, all 8 are triangle shaped, my perimeter is 43.98 Octagon with each edge 5.49 inches. So, I ne
kondor19780726 [428]

Answer:

1) The area of the circle pizza is approximately 161.64 in.²

2) The area of the octagon shaped pizza is approximately 145.52 square inches

Step-by-step explanation:

The 8 slices of pizza combine to form the composite octagon

The parameters of the pizza are;

The perimeter of the octagon = 43.98 inches

The length of each (outer) edge of the octagon = 5.49 inches

The outer edge of the octagon = The base of the triangle shaped pizza

Let θ represent the vertex angle of the triangle shaped pizza

Therefore, we have;

θ = (The angle at the center point of the pizza)/8 = 360°/8 = 45°

The vertex angle of the triangle shaped pizza, θ = 45°

We note that a triangle shaped pizza is isosceles shaped, therefore, the base angles are given as follows;

The base angles of a piece of pizza = (180° - (angle at vertex))/2

∴ The base angles of a piece of pizza = (180° - 45°)/2 = 67.5°

The length, 'l', of the other sides of the triangle shaped pizza is given by sine rule as follows;

l/(sin 67.5°) = 5.49/(sin(45°)

∴ l = (sin 67.5°) × 5.49/(sin(45°)

l = (sin 67.5°) × 5.49/(sin(45°) ≈ 7.173

The length of the other sides of the triangle shaped pizza, l ≈ 7.173 inches

1) The length of the other sides of the triangle shaped pizza, l = The radius of the circle, r

The area of the circle = π·l²

∴ The area of the circle ≈ π × (7.173 in.)² ≈ 161.64 in.²

2) The area of each triangle piece of pizza is given as follows;

The area of a triangle, A = 1/2×l·b·sin(C)

∴ A = 1/2× 5.49 × 7.173 × sin(67.5°) ≈ 18.19

The area of each triangle piece of pizza, A ≈ 18.19 inches²

The total area of 8 slices of octagon shaped pizza, TA ≈ 8 × A

∴ TA ≈ 8 × 18.19 inches² ≈ 145.52 inches²

The total area of 8 slices of octagon shaped pizza, TA ≈ 145.52 inches²

4 0
3 years ago
I need help with #18,20,22 and 24. Please show your work and I'm really thankful for your help as soon as possible!
Artist 52 [7]
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!

For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!

For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
4 0
3 years ago
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
bonufazy [111]

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

3 0
3 years ago
What is x 3x-11+9=10
Archy [21]

Answer: x = 4

Step-by-step explanation:

3x - 11 + 9 = 10

Add 11 to each side

3x + 9 = 21

Subtract 9 from each side

3x = 12

Divide each side by 3

x = 4

3 0
3 years ago
Read 2 more answers
Other questions:
  • The square of sophie's age is 16 less than joanna's age. it is also the case that joanna's age is 8 times that of sophie. how ol
    10·1 answer
  • Is 50% bigger or is 5/10 bigger
    12·2 answers
  • Hulk left home and walked 8 blocks west. Then he turned and walked 6 blocks north. If each block is 500 ft. long, how far is Hul
    11·1 answer
  • A kilogram of whole-wheat flour costs $6. What is the cost of 400 grams of the flour
    5·1 answer
  • 3×=21, the value of ×is ​
    12·1 answer
  • Rodney buys 6 pounds of bananas for 5.10$. how much do bananas cost?
    12·1 answer
  • Subtract the quotient of 15 ÷ 3 from the sum of 33 and 7.
    8·2 answers
  • Please help and explain good luck
    15·1 answer
  • Pls help ASAP if you can please
    8·1 answer
  • Hi help please thanks
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!