A spinner has 10 sections numbered 1 to 10. Consider the events.

• Event A: Spin an odd number
• Event B: Spin a number greater than 1
• Event C: Spin a 2
• Event D: Spin a multiple of 2

Which pair of events are disjoint, cannot occur at the same time?

Events A and B
Events B and C
Events C and D
Events A and C

Answers

Answer 1

Answer:

events A and C

Step-by-step explanation:

you can't have an odd number and also land a 2

Answer 2

A ∩ C does not contains any element. So A and C is a disjoint event.

What is Disjoint Set?

Two sets are said to be disjoint sets if they have no element in common.

Here, S = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

Event A = { 1, 3, 5, 7, 9 }

Event B = { 2, 3, 4, 5, 6, 7, 8, 9, 10}

Event C = { 2 }

Event D = { 2, 4, 6, 8, 10}

Now,

A ∩ B = { 3, 5, 7, 9}

B ∩ C = {2}

C ∩ D = { 2 }

A ∩ C = { }

Thus, A ∩ C does not contains any element. So A and C is a disjoint event.

Learn more about Disjoint event from:

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Related Questions

brainlyess

If José's present age is 3 n, how old will he be in 5 years?

Answer options with 5 options

A.3 n plus 5
B.3 n times 5
C.3 n minus 5
D.15 n

Answers

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

Present age of José = 3n

Age of José in 5 years

[tex] = 3n + 5[/tex]

A. 3n + 5 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

Present age of Jose is 3 n, how old will he be in 3 years!?

3n+5

So, the answer is A

the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?

the scale of the model is 1 inch = 9 feet

Answers

67.5 ft

7 1/2 times 9

Answer:

67 1/2 ....

Step-by-step explanation:

7x9 = 63 +4 1/2 = 67 1/2

Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 22/7 for π.

Answers

Answer:

131.95

Step-by-step explanation:

C=2πr=2·π·21≈131.94689

42

42÷2=21

circumstances=2πr

circumstances=2×22/7×21cm

2×22/1×3cm

2×22=44

44×3cm=132

nearest hundredth=100

I hope im correct

What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.

Answers

Answer:

do you have a graph of the line?

In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answers

Answer:

Step-by-step explanation:

In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

P(F U P) = P(F) + P(P) - P(F n P)

What does x=___________

Answers

Answer:=60

Step-by-step explanation:

Answer:

x  = 60

Step-by-step explanation:

The tick marks imply that all the sides are equal so this is an equilateral triangle. In an equilateral triangle all the angles are the same so since we know one angle is 60 we know the other two are 60 too.

what anime does the main character say I'm gonna be king of the pirates? ​

Answers

Answer:

One Piece maybe

Step-by-step explanation:

Answer:

One Piece I think

Step-by-step explanation:

2. A great circle has a circumference of 83.92 cm. Find the Surface
Area and volume.

Answers

Answer:

Surface Area = 560.41 cm2

Volume (if it's a sphere) = 9979.71 cm3 or around 10 liters

Step-by-step explanation:

1. The circunference formula is C = 2 * π * R

2. If C = 83.92cm, R is 13.356 cm --> R = C / (2π)

3. The surface area formula is A = π * R * R

4. For R = 13.356 cm, A = 560.41 cm2

5. Sphere volume is V = (4/3) * π * R * R

6. For R = 13.356 cm, V = 9,979.71 cm3

7. 1,000 cm3 = 1 liter, so V is aprox. 10 Liters

There are 8 sweets in a box. There are n jelly beans and the rest are cola bottles. Colin takes 2 sweets out of the box at random. Write an expression for the probability of getting 2 cola bottles. Give your expression as a single fraction and simplify fully.

Answers

Answer:

Probability expression = 1 - n/7 - n/8 + n^2 / 56

Probability single fraction based on example = 3/28

Step-by-step explanation:

Total sweets = 8. n jelly beans , 8 - n cola bottles

Prob (getting 1st cola bottle) = Cola bottles / Total sweets = (8-n) /8

Prob (getting 2nd cola bottle) = remaining cola bottles / remaining total sweets = (8 - n - 1) / (8-1) = (7-n) / (7)  

Prob (getting both 1st & 2nd cola bottle) = [ (8-n) /8 ] x [ (7-n) / 7 ]

(1 - n/8) x (1-n/7) = 1 - n/7 - n/8 + n^2 / 56

Eg : 5 jelly beans , 3 cola bottles

Similarly, Prob (2 cola bottles) = 3/8 x 2/7 = 6 / 56 = 3/28

8 pounds 15 ounces of clay to make a bowl and twice as much to make a vase. If he had a 25 pound bag of clay available, did he have enough clay to make both items?

Answers

Answer:

He does not have enough clay to make both the bowl and the vase together with 25 pounds.There is shortage of 29 ounces or 1 pound 13 ounces.

Step-by-step explanation:

1 pound = 16 ounces

1 bowl requires 8 pound 15 ounces of clay = 8*16+15= 143 ounces

1 vase requires twice of the clay required to make a bowl = 143*2= 286 ounces

He had 25 pounds of clay= 25*16= 400 ounces

Total clay required in making a bowl and a vase is = 143+286= 429 ounces

But he has 400 ounces.

Therefore he does not have enough clay to make both the bowl and the vase together with 25 pounds.There is shortage of 29 ounces or 1 pound 13 ounces.

can someone help me fast I have a test & don’t have a lot of time left !!!

Answers

Answer:

144.2 yards

Step-by-step explanation:

120^2 x 80^2 = 144.2 repeating

since it is a rectangle, if you split it in half diagonally, then it becomes a triangle, and you then use the pythagorean theorem, which is a^2 + b^2 = c^2.

If the mean of the data below is 3.8, find m
x 1 2 3 4 5 6
f 1 4 7 m 6 3​

Answers

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3​

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

[tex]3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8[/tex]

So, the value of m is equal to 1.8.

14. Triangle QRS is shown below.
Q
40
100°
S
R
Which triangle must be similar to triangle QRS?
A. A triangle with two angles that measure 40º,
B. A triangle with angles that measure 40° and
60°
OC. A scalene triangle with only one angle that
measure 1000
O D. An isosceles triangle with only one angle that
measure 40°,

Answers

Answer:

The answer is A

Step-by-step explanation:

My teacher told me


(b) Principal = * 8000, Rate = 8% p.a., Time=2*1/2years​

Answers

Answer:

Step-by-step explanation:

time=1 years

interest=principal*time*rate/100

=8000*1*8/100

=64000/100

=640

therefore interest=640

Answer:

Compound Interest = 9680

Step-by-step explanation:

The formula of Compound Interest: [tex]A = P(1 + \frac{r}{n} )^n^t[/tex]

Where;

A = Compound Interest

P = Principal amount

r = Rate of interest

n = amount of deposite annually

t = total time

Therefore:

[tex]A = 8000(1 + \frac{0.08}{1})^1^*^2^.^5[/tex]

[tex]A = 8000(1 + 0.08)^2^.^5[/tex]

[tex]A = 8000(1.08)^2^.^5[/tex]

A = 8000(1.21)

A = 9680

Therefore, the compound interest = 9680

Hope this helps!

Which is the graph of fix) = 1 (47"?

Answers

It is either the Second or third one

Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes (m) it would take her to eat
35 hot dogs if she can keep up the same pace.
How many minutes would Mika need to eat 35 hot dogs?

Answers

Use proportions to solve it then cross multiply.

pls pls pls pls help me pls I will give brainlist

Please define (provide the meaning) the following forms of rocks:

1. Igneous Rocks

2. Sedimentary Rocks

3. Metamorphic Rocks

Answers

There are three kinds of rock: igneous, sedimentary, and metamorphic.
Igneous rocks form when molten rock (magma or lava) cools and solidifies. Sedimentary rocks originate when particles settle out of water or air, or by precipitation of minerals from water. They accumulate in layers. Metamorphic rocks result when existing rocks are changed by heat, pressure, or reactive fluids, such as hot, mineral-laden water. Most rocks are made of minerals containing silicon and oxygen, the most abundant elements in the Earth’s crust.

How many solutions does this equation have?
-5x-2=-5x-5

Answers

Answer:

4

Step-by-step explanation:

Answer: It has no solutions.

(Hope this helps!)

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

It’s c
STEP BY STEP EXPLANATION

Answer:

A,B and C i think

...........................

621,584 round to the nearest ten

Answers

Answer:

621,580

and i have to add at least 20 characters so how is everyone’s day?

Answer:

621,580

Step-by-step explanation:

nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.

PLEASE ANSWER QUICKLY!! ASAP ILL GIVE BRAINLIEST!!! While taking measurements of the lengths of chalk pieces, the teacher records the lengths 5, 5, 4, 3, 2, 5, 4, and 4 inches.
If a line plot were to be made, the number of "X"s placed above the 2 would be ____
above the 3 would be
____
above the 4 would be _____
and above the 5 would be
_____.​

Answers

Answer:

No. X's above 2: 1

Above 3: 1

Above 4: 3

Above 5: 3

Step-by-step explanation:

Drawing a line plot of a data set means that you record the number of times that particular value shows up in the set. 2 on the line plot would only have 1 'X' placed above it because there is only one 2 in the data set:

5, 5, 4, 3, 2, 5, 4, 4

3 would also have 1 'X' above it because there is also only one 3 in the data set:

5, 5, 4, 3, 2, 5, 4, 4

Similarly, 4 and 5 would both have three 'X's because there are three 4's and three 5's in the data set:

4's: 5, 5, 4, 3, 2, 5, 4, 4

5's: 5, 5, 4, 3, 2, 5, 4, 4

Hope this helped!

The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the rectangle is 162 feet

Answers

Answer:

Length = 37 feets

Width = 44 feets

Step-by-step explanation:

Given that :

Length = l

Width, w = 7 + l

Perimeter , P of rectangle = 162

Recall:

Perimeter of a rectangle = 2(l + w)

P = 2(l + w)

162 = 2(l + (7 + l))

162 = 2(l + 7 + l)

162 = 2(7 + 2l)

162 = 14 + 4l

162 - 14 = 4l

148 = 4l

l = 148 / 4

l = 37 feets

Width = l + 7

Hence,

Width = 37 + 7 = 44 feets

7.(08.03)
Consider the following pair of equations:
y = x + 4
y = - 2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (20 points!)

Answers

Answer:

(-2, 2).

Step-by-step explanation:

y = x + 4

y = - 2x - 2

Substitute y = x + 4 in the second equation:

x + 4 = -2x - 2

x + 2x = -2 - 4

3x = -6

x = -2.

Now substitute x = -2 in the first equation:

y = -2 + 4 = 2.

Check the results by substituting for x and y in equation 2:

2 = -2*-2 - 2 = 4 - 2 = 2.  - this checks out.

Answer:

(-2, 2).

Step-by-step explanation:

d

Part A Complete the stem and leaf plot for this data on the average cruising speeds of Red Eagle's planes.

0.78, 0.86, 0.83, 0.83, 0.79, 0.83, 0.85, 0.85, 0.85, 0.81, 0.84, 0.84, 0.82, 0.82, 0.81, 0.83, 0.84, 0.83, 0.85, 0.85, 0.81, 0.80, 0.82, 0.82, 0.80, 0.82, 0.87, 0.84, 0.84, 0.86

ASAP PLEASE!!!! DUE IN 5 MINUTES!!!!​​
50 POINTS!!!!

Answers

Answer:

hope this helps you. look it once

which of the following cannot be the graph of a function of X?

Answers

Answer: Choice D

Why not? Because it fails the vertical line test. Here it is possible to draw a single straight vertical line through more than one point on the curve. That's why choice D is not a function. Choices A,B,C are functions because it's impossible to draw a single vertical line through more than two points on the curve, and therefore we can say they pass the vertical line test.

Side note: choices B and C fail the horizontal line test, so these functions are not one-to-one.

calculate decrease in 71.2kg of 25%​

Answers

Answer:

53.4.......

follow me........

A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs?
Group of answer choices

A. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes

B. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes

C. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes

D. A delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes

Answers

Answer:

Answer is C

Step-by-step explanation:

There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4

(4x + 11)° (5.6 - 10)​

Answers

10.6x …………………………………………

On Alex's map, 0.5 inch represents 20 miles.
Which equation can be used to find the number of miles, m, represented by n inches?
A
m = = 0.5 (20n)

Answers

Answer: I think it A because the other ones doesn’t make sense

Step-by-step explanation:

1. 7.EE.1.1
Which of the equations shows an
application of the Zero Property of
Multiplication?
A. b + 0 = b
B. (3y) = y
C. 0.= 0
=-5

Answers

Answer:

None of the above but if you had to choose one it would be C.

If you had to choose one choose c.
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