you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. write your answer as a fraction or percent. if necessary round your answer to the nearest hundredth.
(Spinning an odd number, flipping head, then spinning yellow)

You Spin The Spinner, Flip A Coin, Then Spin The Spinner Again. Find The Probability Of The Compound

Answers

Answer 1

Answer:

1/9

Step-by-step explanation:

Probability is defined as the number of cases fitting a constraint divided by the number of total cases.

We will calculate the number of total cases first (bc its easier xD):

3 numbers for the first spin times 2 cases for the flip times 3 numbers for the first spin = 18 total cases.

Now, we will calculate the number of cases fitting the constraint:
For the first constraint, there are two possible ways of spinning an odd number, landing on 1 or 3.
For the second constraint there is only 1 way, which is spinning a head.
For the 3rd constraint, there is only 1 way to spin yellow.

2 * 1 * 1 = 2

Number of cases over total cases:

2/18 = 1/9

Answer 2

Step-by-step explanation:

we seek the probability of a combination of independent events.

since they are independent, we can simply multiply the 3 individual probabilities.

1. spin an odd number (in our case that means 1 or 3) out of the possible 3. that probabilty is therefore 2/3.

2. flipping head with a coin. so, 1 out of possible 2. that probabilty is therefore 1/2

3. spin yellow. that is 1 out of possible 3. that probabilty is therefore 1/3.

again, none of the single events is influencing the outcome of any of the other 2 events, so, the total probabilty of the combination is the product of the single probabilities :

2/3 × 1/2 × 1/3 = 2/18 = 1/9

FYI : the first single probabilty is actually the result of an "or" relationship of 2 possible results of one event :

the probabilty to get an odd number is the same as the probabilty to get 1 or to get 3. both are non-overlapping possible outcomes of one event, so we can add the individual probabilities for the result.

each possible outcome has the probabilty of 1/3, so the "or" relation has a probabilty of 1/3 + 1/3 = 2/3.


Related Questions

What is the radius r of a circle with the circumference C of length 48.6 m

Answers

Answer:

r = 24.3/π  m

r = 7.73 m

Step-by-step explanation:

C = 2πr

48.6 m = 2 × π × r

r = 48.6/(2π)  m

r = 24.3/π  m

r = 7.73 m

"When 85 is added to a number, the result is 45 more
than 6 times the number."

Answers

Answer:

136

Step-by-step explanation:

85+45+6

136

this is solution ...

heresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?

96 points
97 points
98 points
99 points

Answers

Answer:

99 points

Step-by-step explanation:

total of scores of 4 tests = 88 + 84 + 88 + 91 = 351

5 tests with an average score of 90:

⇒ total of scores = 5 × 90 = 450

Lowest score of 5th test = 450 - 351 = 99 points

Answer:

99 points

points scored:

88 points , 84 points, 88 points , 91 points, let the fifth test points be "n"

given score with an average 90 points

[tex]\sf \rightarrow \dfrac{88 +84+88+91+n}{5} =90[/tex]

[tex]\sf \rightarrow 351+n =90 (5)[/tex]

[tex]\sf \rightarrow n =450-351[/tex]

[tex]\rightarrow \sf n = 99[/tex]

31
33
34
35
= 36
37
38
39
A certain loan program offers an interest rate of 8%, compounded continuously. Assuming no payments are made, how much would be owed after four years on
a loan of S2900?

Answers

Answer:

no sure about the answer

Find the equation for the circle with center (-2,4) and passing through (-1,- 4).

Answers

Answer:

(x+2)^2 + (y-4)^2 = 65

Step-by-step explanation:

r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65

center = (-2, 4) so you add 2 to x and subtract 4 from y

Which pair shows equivalent expressions?
2x + 10 = -2(x-5)
-2(x+5) = 2x-10
-2x-10 = -2(x+5)
-2(x-5) = -2x-10

Answers

Answer:

The 3rd equation, -2x-10 = -2(x+5)

Step-by-step explanation:

Equivalent expressions means both sides of the equal sign equal the same thing

To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other

We will use PEMDAS for this

1. 2x + 10 = -2(x - 5)

Start with Parentheses, and distribute the -2 to what's inside said parentheses

2x + 10 = -2x + 10

Not equal

2. -2(x+5) = 2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = 2x - 10

Not equal

3. -2x-10 = -2(x+5)

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = -2x - 10

Equal

4. -2(x-5) = -2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x + 10 = -2x - 10

Not equal

A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.

Answers

Answer:52.7

Step-by-step explanation:

1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128

2)Then we input everything into the law of cosines

Need help with his geometry question. Find the value of x

Answers

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

a retail owner can but a certain clock at an average price of $53 per clock and sell them for an average price of $84 per clock. his fixed costs are $8000 per month and his variable cost is $5 per clock. (A) how many clocks must he sell each month to break even? (B) how many clocks must he sell to have a profit of $3000?

Answers

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

(A)

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

(B)

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Solve for x.
5x = 25
=
x = [?]
=

Answers

It's 25 because 25 divided by 5 is 5.

how do i solve and graph -5x+2y=10

Answers

Answer:

at first write the equation in correct order y=Mx+b. 2y=5x=10

y= 5x/2+5.

Step-by-step explanation:

the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.

the graph picture is added below click on the PNG. hope it helps. have a great day.



You walk along the edge of a park.
Then you take a shortcut,
represented by PQ on the graph.
What is the length of the shortcut in
meters? Round your answer to the
nearest whole meter, if necessary.

Answers

The distance between the two points is 93.9 units

How to calculate the distance between two points

The formula for calculating the distance between two points is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:

[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]

Hence the distance between the two points is 93.9 units

Learn more on distance between two points here: https://brainly.com/question/23848540

Answer:89.4

Step-by-step explanation:

A rectangle is shown with the area of 14/32 square in. Label two sides of the rectangle with appropriate fractions that would come up with the area of 14/32 square inches when multiplied together.​

Answers

The dimensions of the rectangle that would have a value of 14/32 inches square are a length of 2/16 and a width of 31/2 inches.

What are the dimensions of the rectangle?

A rectangle is a 2-dimensional quadrilateral with four right angles that has a value of 360 degrees. It has two diagonals that bisect each other.

Area of a rectangle = length x width

2/16 x 7/2 = 14/32

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

x
3
+5x
2
−32x−7 divided by x-4x−4 is x^2+9x+4+\frac{9}{x+4}x
2
+9x+4+
x+4
9

(LOOK CAREFULLY!)
































badddddddiesssssssss hmuuuuuuuu lulllllllllllllllllllllllllllllllllll

Answers

Answer:

The answer is 52x1100=21plus 23= 50010

Step-by-step explanation:

solve for x : -30 < -x/4

Answers

x > 120

Step-by-step explanation:

-30 < -x / 4

-30 x 4 < -x

x > 120

Answer:

ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive

Step-by-step explanation:

Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?

Answers

Answer:

27

Step-by-step explanation:

       Let g be Gabrielle's age and m be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      g = 2m

       The sum of their ages is 81:

                      g + m = 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

g + m = 81

(2m) + m = 81

3m = 81

m = [tex]\frac{81}{3}[/tex]

m = 27

       If we need to solve for Gabrielle's age, we can do the following.

g = 2m

2(27) = g

54 = g

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

Answer:

Mikhail is 27

Step-by-step explanation:

Use 'm' to represent Mikhail's ageUse g = 2m to represent Gabrielle's age (because Gabrielle's age is twice that of Mikhail's.You know that both of their ages combined must equal 81. This can be represented by g + m = 81Lastly, since we stated g=2m, substitute it into the equation to make: 2m + m = 81Combine like variables and divide to get Mikhail's age.

**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.

Hope this helps!

What is the area of the figure below?
A. 16
B. 45
C. 51
D. None of these

Answers

Answer:

C. 51

Step-by-step explanation:

For Square:

Length x Height

7 x 6 = 42

For Triangle:

Base x Height x 1/2

(6x3)1/2 = 9

42 + 9 = 51

Can someone help me with this please

Answers

Answer:

6.46 seconds

Step-by-step explanation:

[tex] - 16 {t}^{2} + 65t + 248 = 0[/tex]

[tex]t = 6.46[/tex]

can someone please help me​

Answers

Answer:

(2, 4)

Step-by-step explanation:

All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).

I hope this helps! Have a lovely day!! :)

Answer:

i belive its c

Step-by-step explanation:

you are shifting up 5 squares so you arrive at (2,4)

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

Light

Step-by-step explanation:

Light can travel approximately 186,000 miles per second so the answer we are looking for in here is light.

Help help help help

Answers

2/8 son iguales espero que te sirva

Which number is bigger: 0.135 or 0.14?

Answers

0.14 as if you convert it into like decimal (add a 0 if the places are not the same e.g. 0.1 and 0.02 here 0.1 does not have the same number of digits so add a zero so it becomes 0.10 :. 0.10 is bigger then 0.02) (note the value of 0.1 will remain the same) so here 0.14 will become 0.140 :. bigger than 0.135

The number 0.14 is bigger than 0.135.

To compare the two numbers, you can look at their digits after the decimal point. In both numbers, the digit in the tenths place is 1. The next digit in 0.14 is 4, which is greater than the corresponding digit in 0.135, which is 3.

Since the digit in the hundredths place (4) is greater than the digit in the hundredths place (3), the number 0.14 is bigger than 0.135.

In summary, the order of the numbers from smallest to largest is:

0.135 < 0.14.

To know more about number:

https://brainly.com/question/3589540

#SPJ2

use multiplication to show how many twelfths equal 2/3.

you can get 74 points

Answers

[tex]\\ \rm\rightarrowtail \dfrac{2}{3}[/tex]

We need. the denominator as 12

So

[tex]\\ \rm\rightarrowtail \dfrac{2(4)}{3(4)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{8}{12}[/tex]

Answer is 4

Answer:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Step-by-step explanation:

To get from 3 to 12, we must multiply 3 by 4 since 3 x 4 = 12

Therefore, multiply both the numerator and denominator by 4:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.

Answers

Answer:

x=43 degrees

Step-by-step explanation:

Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other

Which set shows an average of 3?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

B

Step-by-step explanation:

bbbbbb brainless me

Estimate by rounding each decimal to the nearest whole number. 5.85+23.24

Answers

Answer:

Step-by-step explanation:

Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350350350 recent visits. Here are the results: Feeder \#1#1\#, 1 \#2#2\#, 2 \#3#3\#, 3 \#4#4\#, 4 Observed visits 808080 909090 929292 888888 Ciara wants to perform a \chi^2χ 2 \chi, squared goodness-of-fit test to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the expected count of visits to the third feeder? You may round your answer to the nearest hundredth.

Answers

The expected count of visits is the mean or average visits to each feeder

The expected count of visits to the third feeder is 87.5

How to determine the expected count of visit?

The table of values is given as:

Feeder                 1   2    3   4

Observed visits 80 90 92 88

In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed

So, the expected count is calculated using:

Expected count =Visits/Feeders

This gives

Expected count = 350/4

Evaluate the quotient

Expected count = 87.50

Hence, the expected count of visits to the third feeder is 87.5

Read more about chi square goodness of fit test at:

https://brainly.com/question/4543358

What would be the formula for this?

Answers

I hope I can help you:)

Answer:

ba/2+bd/2+cd, in this case the area is 46

Step-by-step explanation:

The formula for this would simply be the area of the trapazoid plus the area of the rectangle.

The area of a trapazoid(in this case) is b(a+d)/2

The area of the rectangle is cd

Adding these you get ba/2+bd/2+cd

In this case the area is 46

In the diagram above, what is point F called relative to ABC?

Answers

Answer:

Circumcenter

Step-by-step explanation:

The center that is created by intersection of the three perpendicular bisectors of your triangle sides.

help. will give brainliest. please hurry!!! <3

also, please explain how to get my answer. need to show work.

Answers

Answer = 504 m2
Proof is below
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