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.

Learn more about probability here:

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Related Questions

Fill in the factor:
11 × ___=99

Answers

Answer:

9

Step-by-step explanation:

11 × 9 = 99

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

-24 + 12d = 2(d-3) + 22

Answers

d=4 :)
i included the work in a photo so i hope this helps you :))))

Find the area of the shape, there are 6 sides

Answers

Answer:

Step-by-step explanation:

all the three sides of a triangle are equal.

length of perpendicular from center on the side=[tex]h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.[/tex]

Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she can work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

We know that:

She makes $19 per hour of lifeguarding.

She makes $8 per hour walking dogs.

She can work at most 7 hours per week.

She must earn a minimum of $80 per week.

If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:

x + y ≥ 7 hours.

(this says that she can work at most 7 hours per week)

x*$19 + y*$8 ≥ $80

(this says that she can earn a minimum of $80)

Then the system of inequalities is:

x + y ≥ 7 hours.

x*$19 + y*$8 ≥ $80

To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.

Here we also should add the inequalities:

x ≥ 0

y ≥ 0

So we only look at the first quadrant.

The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)

 

One possible solution can be:

x = 4 and y = 1

or

x = 4 and y = 2

and there are a lot of other possible solutions.

Answer:

Step-by-step explanation:

HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!

Answers

TAKE A PIC OF THEM IN PHOTOMATH

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below.

Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance.

Natasha uses the $25 off the repair cost coupon first. She then uses the 20% off the repair cost coupon on the remaining balance.

Who paid the least amount of money for the iPhone repair?

Answers

Answer:

natasha paid the least amount

NO LINKS PLEASE what is y? (please explain the steps too :))

y=3(19)-5 y=2(19)+14​

Answers

Answer:

solution given:

y=3(19)-5=57-5=52

y=2(19)+14=2×19+14=38+14=52

:.

y=52

Answer:

y = 52

Step-by-step explanation:

Order of operation says we must multiply before you subtract or add.

So 3 * 19 = 57 then subtract 5 you get 52.

Next 2 * 19 = 38  then 38 + 14 = 52

I need help geometry !

Answers

the answer is A. x = 15 :)

Can someone please help me with math.

Answers

the first one is B hope this helps

Helppp do any understand rhis ?

Answers

110+45= 155
180-155=25
x=25

Answer:

x= 25 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees.

110 degrees + 45 degrees = 155 degrees

180 degrees - 155 degrees = 25 degrees

What is the measure of <4? Enter your answer in the box.
m<4=

Answers

Answer:

59

Step-by-step explanation:

These angles make linear pair

so angle 4 +60+61=180

Angle 4 = 180-121 = 59

‼️Someone help please..
Find the missing term in each sequence

Answers

Answer:-170

Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.

Si se llenan 45 frascos de 200 gramos de mayonesa cuantos frascos de 150 gramos se puede llenar con la misma cantidad

Answers

Answer:

45x200gr/150gr= 60

Step-by-step explanation:

if y=27 when x= 8 find y when x =11

Answers

Answer:

37 1/8

Step-by-step explanation:

The problem probably assumes direct variation

y=kx

IF so, then plug in the values and solve for k

27=k(8)

k = 27/8

y= (27/8)x.  Now let x = 11

y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8

y = 37 1/8

the problem is making some assumption about the relation between x and y.  The simplest assumption that's likely is direct variation,  that x and y are linearly related.  The graph is a straight line through the origin with slope = 27/8

name the solid figure formed by the net

Answers

Answer:

A

Step-by-step explanation:

7b-3<11
Is anyone know the answer

Answers

Answer:

b < 2

Step-by-step explanation:

7b - 3 < 11

add 3

7b < 14

divide

b < 2

Answer:b<2

Step-by-step explanation:

Which of the following represents discrete data? Question 7 options: The number of beads in a jar The volume of water in a glass Fruit per pound The speed of a motorcycle

Answers

Answer:

the number of beads in a jar. took test got it right.

Step-by-step explanation:

The option that represents a discrete data is the number of beads in a jar.

What is discrete data?

Discrete data is data that contains integers that can only be a limited number of possible values. An example of discrete data is the number of students in a class.

Discrete data has the following properties:

finite numeric countablenon-negative integers.

Observa las siguientes imágenes formadas por círculos:

Figura 1 (un circulo) Figura 2 (5 círculos)

-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?

Answers

1.En 10 figuras habrá 37 puntos si te fijas en las imágenes lo único que hace es agregar 4 puntos a cada uno como la tercera imagen tiene 9 puntos hize 9 + 7x 4= 37
2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

¿Como encontrar el patrón?

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

What is the sum of 25 57/100 + 72 9/10 and 362 17/100 + 49 3/10

Answers

Answer:

509.94

Step-by-step explanation:

That's the answer!

trust me! Correct me if I'm wrong

don't worry I solved it so many

times and that's the answer

hope it helps you

follow me for more!

first on is 98.47

second one is 411.47

Hop this helps :T

PLS HELP 55 POINTS PLSS NO LINKS PLS HELPP

Answers

Answer:

12. 114 Laps

13. 234 students don't ride the bus.

14. 1.5% of 26,500.60 is 397.50 so the answer is $26,500.60

15. 24% × 63.4 = 15.2 so the original weight of the bag is 63.4 pounds

Step-by-step explanation:

4 = 4 ( x + 10 ) solve for x

Answers

Answer:

x = -9

Step-by-step explanation:

mark helpfull give 5str and award brainliest

Answer:

x = -9

Step-by-step explanation:

4 = 4(x + 10)

=> 4/4 = x + 10

=> 1 = x + 10

=> x + 10 = 1

=> x = 1 - 10

=> x = -9

please help !!

25 points !!!

Answers

Answer:

30

Step-by-step explanation:

70-40=30

what is 100 + 84 – 62x = 494

Answers

Answer:

X= -5

Step-by-step explanation:

Good luck!

Answer:

X=-5

Step-by-step explanation:

100 + 84 - 62x =494

184 - 62x =494

494-184 = -62x

310 =-62x

310/-62 =x

X= -5

wright this without exponents
-2u^5*6u^3

Answers

Answer:

-12u^8

Step-by-step explanation:

Ok I need help what is If X = 8 units, Y = 4 units, and Z = 6 units, what is the volume of the rectangular prism shown above?

Answers

there is no picture so i can't answer

how many hundreths is 8.3

Answers

Answer:

3 tenths and 0 hundreths

Step-by-step explanation:

3 is in the tenths place.

So 3 tenths.

There is no value in the hundreths place

So 0 hundreths

(2a²b 5)2 (ab 332
22(a²b-c-3)(a?c%)

Answers

Gfdvhhygvfyhbfghvhfghgvvhhhbhhh

You save $1400 from a summer job. You decide to put it into an account that earns simple annual interest. After 9 months, your balance is $1421. Find the annual interest rate.

Answers

Answer:

2%

Step-by-step explanation:

Calculate annual interest amount first:

                annual interest x 9/12=21

                Annual interest =21x12/9

                 annual interest amount=$28

calculate annual interest rate

                1400 x interest rate = annual interest

               $1400 x interest rate = $28

                interest rate =$28/1400

                interest rate=.02 or 2%

b) 1325 + 13 long division​

Answers

Answer:

1325 divided by 13 is 101.92 rounded to the nearest hundredth

Step-by-step explanation:

I'm not sure what the question is asking though.

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