Consider a single spin of the spinner.
Which events are mutually exclusive? Choose all that apply.
a
landing on an unshaded sector and landing on a number less than 2
b
landing on a shaded sector and landing on a 3
c
landing on an unshaded portion and landing on an odd number
d
landing on a shaded sector and landing on an even number
e
landing on a shaded sector and landing on a number greater than 3
Answers
The question is incomplete
Find attached to the question, the appropriate diagram
Answer:
a) landing on an unshaded sector and landing on a number less than 2
b) landing on a shaded sector and landing on a 3
Step-by-step explanation:
Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.
The options given are explained below:
We have two shaded sectors: 1 and 4
We have two unshaded sectors : 2 and 3
a) landing on an unshaded sector and landing on a number less than 2
Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).
Therefore this option is mutually exclusive and correct.
b) landing on a shaded sector and landing on a 3
It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.
This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.
Therefore, Option b is a mutually exclusive event and it is a correct option.
c) landing on an unshaded portion and landing on an odd number
The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.
Option c is not a mutually inclusive event and it is wrong.
d) landing on a shaded sector and landing on an even number
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.
Option d is not a mutually inclusive event and it is wrong.
e)landing on a shaded sector and landing on a number greater than 3
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.
Option e is not a mutually inclusive event and it is wrong.
Therefore, option a and option b are mutually exclusive events and they are correct.
Answer:
a. landing on an unshaded sector and landing on a number less than 2
e landing on a shaded sector and landing on a number greater than 3
Step-by-step explanation:
Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.
i.e
A ∩ B = ∅
Pr (A ∩ B) = 0
The intersection of A and B is an empty set and as such there is no intersection.
From the given options; option a and e are correct because ;
a.
landing on an unshaded sector and landing on a number less than 2
Landing on an unshaded portion would 2 or 3.
Landing on a number less than 2 would be 1.
There is no intersection and as such these events are mutually exclusive.
e.
landing on a shaded sector and landing on a number greater than 3
Landing on a shaded portion would be 1 or 4.
Landing on a number greater than 3 would be just 4.
The intersection of both events will be an empty set (∅)
As such these events are not mutually exclusive.
Related Questions
guys i need help lol
Answers
Answer:
x = 17°, m∠ A = 114°
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
x = 17 ⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
m∠ A = 114
Solution; x = 17°, m∠ A = 114°
Answer:
x = 17, ∠A = 114°
Step-by-step explanation:
I'm 8 years old and I know how to do this.
6x + 12 = 3x + 63
3x + 12 = 63
3x = 51
x = 17
6(17) + 12
102 + 12 = 114
Explain how to use a graph of the function f(x) to
find f(3).
Answers
Answer:
For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
Step-by-step explanation:
up there
Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint
Answers
Answer:
140 ft squared
Step-by-step explanation:
Answer:
140 ft
Step-by-step explanation:
10 × 14 = 140 so the answer is 140 ft
(Question) Write to Explain; Shauna evaluated the expression 9 - 6 + (12/3) *2 and got the answer 4 is she correct? Why or why not?
And if this helps I'll add the screenshot I took of it.
Why is she not correct or Why is she correct.
Answers
the answer is, no.. she is not correct.
she solved the equation/question incorrectly.
why? Shauna subtracted 9 - 12/3 = 5
she multiplied 5 and 2 = 10
then subtracted by 6.
so she got 4.
but, this how you do it.
subtract 9 and 6, equaling 3.
12/3 x 2= 8
add 8 and 3, which equals 11.
the correct answer is 11!
Which statement best describes the function represented by the graph?
Answers
Answer:
Step-by-step explanation:
You read a graph from left to right, just like you would read words on a page in a book. At the left-most "side" of this graph, we are way up at positive infinity. As we move from left to right, the graph begins to drop in y values. A drop in y values indicates a decreasing graph. So it's decreasing, we have that part. As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity. As the graph decreases in y values from left to right, the x values increase into positive infinity. So your choice is the second one: The function is decreasing on the interval (-∞, ∞).
Answer:
It's B
Step-by-step explanation:
can someone help me please?
Answers
Answer:
(10,11)
(8,7)
(6,3)
(4,-1)
(2,-5)
(0,-9)
(-2,-13)
(-4,-17)
Answer: the image of how its supposed to be graphed is listed down below! hope this helped!
Step-by-step explanation:
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?
Answers
There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.
In this case, there are 3 choices of food items and 3 choices of drinks.
Therefore, we need to multiply 3 by 3 to get the combinations.
3 times 3 equals 9
In conclusion, there are 9 possible combinations to be made from the choices presented.
Answer:
there are 12 possible outcomes
Step-by-step explanation:
A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either
team. How many of the students surveyed are fans of both th
Answers
Find the missing angle.
Answers
Answer:
127
Step-by-step explanation:
Answer:
x= 127 degrees
Step-by-step explanation:
use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.
In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?
Answers
I need an answer quick!!!!
Answers
Answer:
investment 2 $400 Simple Interest Rate
Step-by-step explanation:
math question down below screen shot
Answers
Answer:
the screen shoy isnt showing up
Step-by-step explanation:
Solve for K: 40 + K = 56
K=
Answers
Answer:
k=16
Step-by-step explanation:
To solve this, we can isolate k.
40+k=56.
We can do this by subracting 40 from both sides.
40+k-40=k
56-40=16
k=16
First isolate or get k by itself by subtracting 40 from both sides.
That leaves us with k = 16.
To check our answer, substitute 16 back into the equation.
So we have 40 + (16) = 56 or 56 = 56.
(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)
Answers
Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answers
Answer:
undefined
Step-by-step explanation:
Jackson bought six pairs of socks for $5 each. The tax on the purchase was 6%. What was the total cost of his purchase?
Answers
Answer:
Step-by-step explanation:
First you multiply 5x6= 30
30x.06= 1.8
30+ 1.8 =31.8
Answer:
31.8
step-by-step explanation:
5*6+6%=31.8
Match the description with the number of possible outcomes.
choosing a card from a deck
2
rolling a number cube
6
flipping a coin
4
spinning a 4-color spinner
52
Answers
Rolling a number cube = 6
Flipping a coin = 2
Spinning a 4 colour spinner = 4
Answer:
here is the correct answer :D
Step-by-step explanation:
A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2
Answers
Answer:
a)400V2 plus 3,600 m2
Step-by-step explanation:
Answer:
400V2 + 3,600 m2
Step-by-step explanation:
Got it right on edge
What is the area of the trapezoid?
Answers
Answer:
The answer is 36 squared centimeters
Please i need help my homework is really hard
.
Answers
Answer:
f' (n)=9
Step-by-step explanation:
is this what you were looking for?
X = ________ ft. (No guessing please)
Answers
Answer:
x=12
Step-by-step explanation:
12(x+8)= 8(30)
Distribute
12x+ 96= 240
Subtract 96 on both sides
12x= 144
Divide 12 on both sides
x=12
If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?
Answers
Answer:
(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!
Answers
Answer:
150
Step-by-step explanation:
You need to add 60 to the 90 and then check it by doing 60% of 150.
Hope this helps.
Answer: 150 is the answer
Step-by-step explanation:
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.
You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased
Answers
Answer:
Lose $1.70 for each ticket you purchase
Step-by-step explanation:
($500 x 1/2000) + ($50 x 2/2000) - $2
$0.25 + $0.05 - $2
-$1.70
|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!
Answers
Answer:
R=-3 which is the same thing as 11/2
Step-by-step explanation:
Answer:
r=−3,11/2
Step-by-step explanation:
thats what I got
What is the least common multiple of 12 and 18?
Answers
Look at the attached picture
hope it will be helpful to you..
What is the mode of 4, 9, 9, 9, 4, 6, 6, 6, 9?
Answers
Answer:
9
Step-by-step explanation:
That's the most common number there
Answer:
9
Step-by-step explanation:
The mode of a set of data values is the value that appears most often.
in this set, 9 appears 4 times -> 9 is mode
2/3 divided by 1 1/2
Answers
Answer: 0.4
Step-by-step explanation:
Factor
x^2−6x+8
(x+4)(x−2)
(x+4)(x+2)
(x−4)(x+2)
(x−4)(x−2)
Answers
Answer:
(x-4)(x-2)
Step-by-step explanation:
Using The AC Method
PLEASE HELP AGAIN, SORRY I SUCK AT MATH.
Answers
Answer:
C. 24 degrees
Step-by-step explanation:
All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.
120+36=156
Then subtract the sum of the known angles from 180 to find the degree of the unknown angle
180-156=24
Answer: C
Step-by-step explanation:
I'll explain why.
The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.
The sum of the angles (x+36+120) must be equal to 180 (=180)
x+36+120=180
Combine like terms
x+156=180
Subtract 156 to isolate x
x=180-156
x=24
