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
write an equation to represent the following:
five less than 1/3 a number, n. is 3
Four more than twice a number, x, is greater than the sum of three and negative seven.
Answers
Answer:
Five less than 1/3 a number n is 3.
[tex]\frac{1}{3}n-5=3[/tex]
Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)
2x+4>3+(-7)
2x+4>3-7
Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?
Answers
Answer:
25 minutes
Step-by-step explanation:
If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.
Answer:
he took 25 min
Step-by-step explanation:
40-15 =25
Which list shows the numbers in descending order?
A. -2.5, -2.25, 2.75
B. -2.25, -2.5, 2.75|
C. -2.5, 2.5, -2.75]
D. 2.75,-2.5), -2.25
Answers
Answer:
Step-by-step explanation:
At Memorial Hospital, 9 of the 12 babies born on Tuesday were boys.
In simplest form, what fractions of the babies born on Tuesday were boys?
Answers
Answer:
3/4
Step-by-step explanation:
Answer:
I believe it is 3/4
Step-by-step explanation:
Simplest form right?
9/3=3
12/3=4
Last week, Ms. Herald walked 1.6 miles for 3 nights last week. She walked an
additional 3.1 miles on Saturday. How many miles did she walk last week? *
Your answer
Send me a copy of my responses.
Submit
Answers
Answer:
1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked
Examine the ratios to find the one that is not equivalent to the others.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
Which ratio is different from the other three?
8 Over 20
12 Over 30
6 Over 10
14 Over 35
Answers
Answer:
8 over 20
Step-by-step explanation:
i guessed
Answer:
6 Over 10
Step-by-step explanation:
I did the math and got 100% on my Unit Test.
is (3, 2) a solution of -8x-2y<6?
Choose 1 answer:
Answers
Answer:
Yes
Step-by-step explanation:
-8x-2y<6 (I prefer to convert this into standard form y=mx+b)
-8x+8x-2y<8x+6
-2y/-2>8x+6/-2
y > -4x -3
2 > -4(3) - 3
2 > -12 - 3
2 > -15 True or Yes
could someone show me how to multiply these
Answers
Answer:
A.2304
B.5625
C.6776
Step-by-step explanation:
The easiest way to show you is by using calculator. If you can't, try using Khan Academy if you want.
find the area of a trapezoid
Answers
Answer:
40 sqrt 3
Step-by-step explanation:
To find the other side of the triangle:
The triangle is a 30 60 90 right triangle
So...
The other side of the triangle is 4
Area of the trapezoid:
Area of the rectangle+ Area of the triangle:
6* 4root 3+ 4 root3* 4
Answer: 40 sqrt 3
Answer:
44.3
Step-by-step explanation:
1. try to find A
10-(4 radical 3 squared plus b squared equal 64)=A
The equation in parentheses is the pythagorean theorem to find "b" of the triangle
A is 2 radical 13
The base is 10
The height is 4 radical 3
Use the formula and you get the answer.
A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly
Answers
Answer:
The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.
Solve for h.
A=1/2b(h)
a. A.) 2a - b = h
b. B.) -1/2a - b = h
c. C.) a - b / 2 = h
d. D.) 2a / b = h
Answers
Answer:
b. B.) -1/2a - b = h
Step-by-step explanation:
combine 1/2b and h
please help, 20 points
Answers
Answer:
25x
Step-by-step explanation:
Perimeter is all sides added up
Order the steps to solve the equation
log(x2 - 15) = log(2x) form 1 to 5.
x² - 2x - 15=0
Potential solutions are -3 and 5
IIIII
x² - 15 = 2x
x - 5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answers
Answer:
Attention for the conditions:
[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]
Step-by-step explanation:
we have
[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]
So the solutions are 5 because x>0
A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?
Answers
Answer:
The volume of the new tent will be 3/2 times the volume of the original
Step-by-step explanation:
The original tent is a triangular prism, which missing dimensions of the tent are:
base (b): 6 ftheight (h): 4 ftlength (l): 7 ftVolume of the original tent:
V = 1/2*b*h*l
The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.
Volume of the new tent:
V' = 1/2*b*h'*l
Dividing V' by V:
V'/V = (1/2*b*h'*l)/(1/2*b*h*l)
V'/V =h'/h
Replacing with data:
V'/V =6/4
V' = 3/2*V
Please help question is in image
Answers
Answer:
The equation log x = 100 is another way of writing 10x = 100.
Step-by-step explanation:
This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.
Which category of two-dimensional shapes apply to all three of these shapes?
quadrilateral
square
rhombus
parallelogram
Answers
Answer:
quadrilateral
Step-by-step explanation:
bc they all have 4 sides...... some one correct me if I am wrong ......bit not in a rude way
05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)
Question 1 options:
1)
negative five thirds
2)
negative three fifths
3)
three fifths
4)
five thirds
Answers
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )
- 3y = - 5x + 12 ( divide all terms by - 3 )
y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
find the area of a triangle
Answers
Answer:
A = 15 yd^2
Step-by-step explanation:
The area of a triangle
A = 1/2 bh where b is the base length and h is the height
A =1/2 (10) * 3
A = 15 yd^2
Answer:
15 yd squared
Step-by-step explanation:
Multiply the base by the height and divide by 2. So 10x3 is 30 and 30 divided by 2 is 15.
OUT OF 20 ATTEMPTS A BASKETBALL
PLAYER SCORED 8 TIMES. WHAT
PERCENT OF HIS CHANCES DID HE
SCORE2
C.32%
Answers
*how to solve*
First write 8 out of 20 as a fraction:
8/20
Then multiply both sides by 5 so that the denominator is 100:
40/100
40/100 = 40 percent
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answers
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)
Answers
I scanned for a pair of x coordinates that match and a pair of y coordinates that match. That would be a right triangle whose sides are parallel to the axes. It's possible our right triangle is more complicated, but let's start here.
Nope, it doesn't look like our right triangle is oriented to the axes. Let's do the Pythagorean Theorem.
1) A(-1, -3), B(4, -3), C(2, -1)
AB² = (4 - -1)² + (-3 - -3)² = 25
AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13
BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8
25 ≠ 13 + 8, not a right triangle
2) A(-2, 2), B(1, -4), C(4, 2)
AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45
AC²= (4 - -2)² + (2 - 2)² = 36
BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45
not a right triangle, but isosceles
3) A(-1, 1), B(3, 5), C(4, -4)
AB² = 4² + 4² = 32
AC²= 5² + 5² = 50
BC²= 1² + 9² = 82
BC² = AC² + AB², THIS IS A RIGHT TRIANGLE
4) A(-1, 3), B(-4, -3), C(-4, 1)
AB² = 3² + 6² = 45
AC²= 3² + 2² = 13
BC²= 0² + 4² = 16
not a right triangle
Answer: 3) A(-1, 1), B(3, 5), C(4, -4)
If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.
Answers
Answer:
1.6 tablespoons
Step-by-step explanation:
Let’s make a proportion
syrup/cupcakes=syrup/cupcakes
4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.
4/10=x/4
Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*4/10=x/4*4
The 4s on the right will cancel, so we are left with:
4/4*10=x
1.6=x
So, 1.6 tablespoons are needed for 4 cupcakes.
What is the greatest common factor for each group?
Answers
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
Determine the ratio of the directed line segment AB when partitioned by point P.
Answers
Answer:
Step-by-step explanation:
Amelia has a savings account that has an annual yield of 5.2%. Find the balance of the account after each of the first five years if
her initial balance is $2000.
Answers
Answer:
Balance of the account after 5 year = $2,577 (Approx)
Step-by-step explanation:
Given:
Initial deposit = $2000
Annual yield (r) = 5.2% = 5.2 / 100 = 0.052
Number of year (n) = 5 year
Find:
Balance of the account after 5 year = ?
Computation:
[tex]Amount = Initial\ deposit(1+r)^n\\\\Amount = 2,000(1+0.052)^5\\\\Amount = 2,000(1.052)^5\\\\Amount = 2,000(1.28848302)\\\\Amount = 2,576.96604[/tex]
Balance of the account after 5 year = $2,577 (Approx)
In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156
B)204
C)238
D)282
Answers
Step-by-step explanation:
In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156 this is most likely correct
B)204 This one may be correct
C)238 X
D)282 X
hope
Based on the calculations, the measure of angle CAD is equal to: C. 238°.
What is a right angle?A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. Thus, a right angle has a measure of 90 degrees.
How to calculate angle CAD?Angle DBC = 90 - Angle BDC
Angle DBC = 90 - 29
Angle DBC = 61°.
Angle DC = 2 × (Angle DBC)
Angle DC = 2 × 61
Angle DC = 122°.
Now, we can determine the measure of angle CAD:
Angle CAD = 360 - Angle DC
Angle CAD = 360 - 122
Angle CAD = 238°.
Read more on right angle here: https://brainly.com/question/10184402
#SPJ2
Simplify the expression -1/2 (-5/6 + 1/3)
A. -5/12 + 1/3
B. 5/12 - 1/6
C. -5/12 + 1/6
D. 5/12 + 1/3
Answers
Answer:
5/12 - 1/6
Step-by-step explanation:
-1/2( -5/6+1/3)
Distribute
-1/2*-5/6 -1/2*1/3
5/12 - 1/6
What is the length of the hypotenuse of a triangle with the points (0,k), (0,0) and (2k, 0)?
Answers
Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2
Answers
The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has been collecting video games for a year. The table below shows how many games she has received over the year.
Amount of video games
Birthday 4
Holidays 8
School trades 6
Then the total number of the video games will be
⇒ 4 + 8 + 6
At the end of the year, she went to a store and sold half of her video games.
⇒ (4 + 8 + 6) / 2
⇒ (4 + 8 + 6) : 2
Then the expression C is correct.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Pleas choose correct answer
Answers
Answer:
b
Step-by-step explanation:
