A board game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. Players roll the die and then spin the spinner. Match each probability statement to its correct value. the probability of getting a 6 and any color except a shade of blue the probability of getting a 5 and a shade of blue the probability of getting an even number and a shade of blue the probability of getting at least 3 and any color except a shade of blue the probability of a getting at most 4 and yellow

Answers

Answer 1

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

We have,

The probability of getting a 6 and any color except a shade of blue:

This probability involves rolling a 6 on the die and getting any color except a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has four colors that are not shades of blue, the probability is (1/6) x (4/5) = 2/15.

The probability of getting a 5 and a shade of blue:

This probability involves rolling a 5 on the die and getting a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has one shade of blue section, the probability is (1/6) x (1/5) = 1/30.

The probability of getting an even number and a shade of blue:

This probability involves rolling an even number (2, 4, or 6) on the die and getting a shade of blue on the spinner.

Since the die has three even numbers and six equally likely outcomes, and the spinner has one shade of blue section, the probability is (3/6) x (1/5) = 1/10.

The probability of getting at least 3 and any color except a shade of blue:

This probability involves rolling a number greater than or equal to 3 on the die and getting any color except a shade of blue on the spinner.

Since the die has four outcomes (3, 4, 5, or 6) that satisfy this condition, and the spinner has four colors that are not shades of blue, the probability is (4/6) x (4/5) = 4/15.

The probability of getting at most 4 and yellow:

This probability involves rolling a number less than or equal to 4 on the die and getting yellow on the spinner.

Since the die has four outcomes (1, 2, 3, or 4) that satisfy this condition, and the spinner has one yellow section, the probability is (4/6) x (1/5) = 2/15.

Thus,

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

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Related Questions

What will be his EXTRA cost?

Answers

Answer:

??? what do you mean?

Step-by-step explanation:

hey cutie pls help me thank u !!

f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1

Compute the following:
Find f(3)

Choose the best answer
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B)5
C)10​

Answers

f(3)=5 // f(3)=2(3)-1 = 5

Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
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Answers

Answer:

1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

2) E. The coefficient of [tex]x[/tex] is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

Correct answer: D

2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:

[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]

[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]

We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.

Determine whether the point (2, 0) is a solution to the system of equations. Explain
your reasoning in complete sentences.

Answers

Answer:

(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line

Step-by-step explanation:

Find the missing side lengths.

Can someone please help???

Answers

Answer:

x = 16

y = 13.8

Step-by-step explanation:

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
9/9
What is the equivalent decimal?

Answers

Answer:

fraction- 9/9=1

decimal- 1.0

percent- 100%

Step-by-step explanation:

BOTH QUESTIONS!!!! 15 POINTS ‼️‼️‼️‼️

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Answer:

Y=-3x+5

Step-by-step explanation:

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Answers

Answer:

C)  x² + 2x - 6

Step-by-step explanation:

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LAST QUESTION!!!!!!!!!!!

segment AB had a mid point at (-1,-1). point A coordinates (3,2). what are the coordinates of B?​

Answers

Answer:

Just put the opposite coordinates on the other side of the segment and thats your answer!

Step-by-step explanation:

mind helping a girl out? pls and thank you lol

Answers

Answer:

First box: 2

Second box: 54

Step-by-step explanation:

The ratio is 1:6.

In other words, the second column is the first column times 6.

2 x 6 = 12

3 x 6 = 12

5 x 6 = 30

9 x 6 = 54

Therefore, the first box would be 2.

The second box would be 54.

Step-by-step explanation:

ginger ale 2because everything is multiplied by 6

so 9 *6

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Answers

Answer:

its27.54 8.1×3.4 =27.54 base×height

me and my crips shoot up yo gang homie

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Answer:

u sure abt that?

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Charlotte is running at a rate of 9 kilometers per hour. What is her rate in meters per second?

Answers

Answer:

9000

Step-by-step explanation:

1km=1000m

9×1000=9000

The plane has traveled 105 miles which is 45%of the distance it needs to go. How many miles is the total distance of the flight?

Answers

Answer: 162.75 miles

Step-by-step explanation: 100%-45%=55%

55%=.55

105 times .55= 57.75

105+57.75= 162.75

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Answers

Answer:

116=1

Step-by-step explanation:

I hope this helps you!

Tomás is cutting a board into 1/6 yard pieces. If the board is 3 yards long, how many pieces can Tomás cut?

Answers

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Answers

Answer:

160 and 70

Step-by-step explanation:

Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she need to make the dress

Answers

Answer:

2 11/12

Step-by-step explanation:

(1/3)×(35/4=35/12=2 11/12 yards

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Answers

Answer:

-40.1

Sorry if it's wrong but Hope it Helps!~

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Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?

A. histogram
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Answers

Answer:

Bar graph

Step-by-step explanation:

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Answer:

Bar Graph

Step-by-step explanation:

Which polynomial expression in factored form has2 as a leading coefficient with 0, -1, 6, and -4 as zeros?

Answers

Answer:

p(x) = 2*x^4 - 2*x^3 - 52*x^2 - 48*x

Step-by-step explanation:

For a polynomial p(x) with leading coefficient A, and zeros: {x₁, x₂, ...,xₙ}

The polynomial can be written in the factored form as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know:

Leading coefficient equal to 2, and the zeros are: 0, -1, 6, and -4

Then the polynomial can be written as:

p(x) = 2*(x - 0)*(x - (-1))*(x - 6)*(x - (-4))

p(x) = 2*x*(x + 1)*(x - 6)*(x + 4)

The wanted polynomial is this one, and we can expand it to get:

p(x) = (2*x^2 + 2*x)*(x - 6)*(x + 4)

p(x) = (2*x^3 - 12*x^2 + 2*x^2 - 12*x)*(x + 4)

p(x) = (2*x^3 - 10*x^2 - 12*x)*(x + 4)

p(x) = 2*x^4 + 8*x^3 - 10*x^3 - 40*x^2 - 12*x^2 - 48*x

p(x) = 2*x^4 - 2*x^3 - 52*x^2 - 48*x

Simply the following expression: 12x + 5x - 8x

Answers

12x+5x-8x=9x

12x+5x=17x

17x-8x=9x

determine the period of the function ​

Answers

Answer:

Step-by-step explanation:

0_pie/2

If Sally's school is 2.5 km long. How many meters long is Sally's school?

Answers

Answer:

2500 m long

Step-by-step explanation:

Answer:

2,500 meters

Step-by-step explanation:

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Answers

Answer:

1. (top left corner) = 8km^3

2. (bottom left corner) = 243 in^3

3. (top right corner) = 200 cm^3

4. (bottom right corner) = 3165.12 m^3

Step-by-step explanation:

1. (top left corner) lwh = 4km x 2km x 1km = 8km^3

2. (bottom left corner) (lwh)/3 = (9 x 9 x 8) / 3 = 243 in^3

3. (top right corner) lwh = 5 x 5 x 8 = 200 cm^3

4. (bottom right corner) πr^2h

R = 12

3.14 x 12^2 x 7 = 3.14 x 144 x 7 = 3165.12 m^3


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Answers

Answer:

i bleive that it is 261 havent done this in a wile tho

Step-by-step explanation:

15×12=180 ( did not divide because there are two of the same triangle) and 9×9=81 add them together and you get 216

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Answers

Answer:

4.5

Step-by-step explanation:

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Answers

Answer:

Mean: 49

Median: 41

Mode: 45

Range: 70

Step-by-step explanation:

To find the mean: add up all the numbers, then divide by how many numbers there are.

To find the median:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

To find the mode: The mode of a data set is the number that occurs most frequently in the set.

To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.


La vitesse moyenne de 108 km/h correspond à :

Answers

Answer:

i dont know the language

Step-by-step explanation:

In the library where you work, it usually takes you 2 hours to shelve 5 carts of books. At this rate, about how many minutes should it take you to shelve 1 cart of
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Answers

Answer: 24 min

Step-by-step explanation:

2 hrs / 5 carts = 120 min / 5 carts

120 / 5 = 24 min / 1 cart

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