A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Blue 2 is one of the outcomes in which of the following events?

a. R OR O
b. B AND O
c. R OR E
d. R AND O
e. R′
f. E

Answers

Answer 1

Answer: c. R OR E

e. R′

f. E

Step-by-step explanation:

Outcomes for Red card ={1,2,3,4,5,6} = 6

Outcomes of Blue card = {1,2,3} =3

R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.

Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}

E={2R, 4R, 6R , 2B}

O = {1R, 3R, 5R, 3B}

R or O = { 1R,2R,3R,4R,5R,6R ,3B}   [all elements of R and O]

B and O = {3B}             [all elements common in B and O]

R or E = {1R,2R,3R,4R,5R,6R,2B }

R and O = {1R, 3R, 5R}  [all elements common in R and O]

R' = B= {1B,2B,3B}     [all elements except R]

Blue 2 = 2B belongs to B, R or E, R' and E.

Correct options are c. e. f.

Answer 2

Answer:

Blue 3

E'

B AND O

Step-by-step explanation:


Related Questions

Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved

Answers

Answer:

1/6 of the tomatoes

Step-by-step explanation:

So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall.  That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.

Answer:

2 and 21/32

Step-by-step explanation:

What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km​

Answers

The area of figure will be;

⇒ 105.56 km²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The figure is shown.

Now,

The area of figure is find as;

Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)

               = 84 + 3.14 × 4 + 9

               = 93 + 12.56

               = 105.56 km²

Thus, The area of figure will be;

⇒ 105.56 km²

Learn more about the area visit:

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2 divided into 3 multiply 1 ​

Answers

Answer:

either 2/3

or 3/2

but its probably 2/3

thanks for the easy points!

Step-by-step explanation:

help pls due today thanks

Answers

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?

Answers

9514 1404 393

Answer:

  80.67 fps

Step-by-step explanation:

1 mi/h = 22/15 ft/s

Multiplying this equation by 55, we get ...

  55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s

Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)

Answers

The answer A shows the distributive property. :)
A is the answer it shows the distributive property hope this helps

A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar

Answers

Answer:7043.82

It would be 4200 x 1.09 which is the interest to the power of 6 for the number of years which would then give you 4200 x 1.09^6. This will then give the answer of 7043.82

The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know

Answers

Answer:

Step-by-step explanation:

The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.

You need at least one properly placed side to make them congruent.

HELP!!! find the value of x

Answers

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]

Now user Pythagoras on triangle 2.

[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]

Now use Pythagoras on triangle 3 (the big triangle).

[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]

Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:

[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]

The two [tex]x^{2}[/tex] get cancelled out, so:

[tex]6x + 9 = 45 + 36\\x = 12[/tex]

TA DA!

What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34

Answers

What was the answer

Answer:D

Step-by-step explanation:

how many hours and minutes are there between 9:30 and 1:50

Answers

Answer:

4 hours and 20 minutes!

Answer:

Step-by-step explanation:

PM or AM?

If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.

if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.

If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.

Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =

Answers

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

help please !!! x/4 = 9/x

Answers

Step-by-step explanation:

x/4=9/x

x.x=4.9

x^2=36

√x=√6

x=6

Find the restrictions on the variable.

Answers

Answer:

[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]

Step-by-step explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.

Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.

Answers

Answer:

20:60 12:36 2:6

Step-by-step explanation:

The second number is going to be 3 times as big as the first ine

What percent of the large square is shaded?

Answers

Answer:

48%

Step-by-step explanation:

a little less than half is shaded

The percent of the shaded square will be 48%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A large square is shown in figure.

Now,

In a figure,

The number of small squares = 100

And, Number of shaded squares = 48

Hence, The percent of shaded square = 48/100 × 100

                                                           = 48%

Learn more about the percent visit:

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what are two ratios that are equivalent to 1:1​

Answers

Answer:

2:14 and 3:21

Step-by-step explanation:

i take out the belt for u my I0ved 1.
no h0.mõ if u a man. . .​

Answers

Answer:

Truw

Step-by-step explanation:

It is exceptional

Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!

Answers

Answer:

i think its C and E

Step-by-step explanation:

( correct me if im wrong, i hope this helps!! )

I believe its C and E :))

1. If the spinner below is spun once, find each
probability.

Answers

Answer: P(4) - 4/12,1/3,33%,0.33

Step-by-step explanation:

My teacher went over the answers

Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8

Answers

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

Read more about probability models at:

https://brainly.com/question/9965602

What is -20 + 1/2 in a decimal form

Answers

Answer: The answer is -19.5

Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5

Answer:

the answer would be -19.5 :)

Step-by-step explanation:

Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers

Answers

Answer:

im taking a nap

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!

Answers

the answer for this equation is x>30

Which equation represents the line shown in the graph?
5.
4
3
2
1
-6 -5 -4 -3 -2 -1 0
2
4 5
6
-2
-3
-4
-5
-6

Answers

I don’t understand? Can u put like a picture and I’ll try to answer through the comments

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$

Answers

Answer:

(a) 0.3863

(b) $693

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)

We solve this question using the z score formula

z = (x-μ)/σ

where:

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x > $646

z = $646 - $633/$45

z = 0.28889

Probability value from Z-Table:

P(x<646) = 0.61367

P(x>646) = 1 - P(x<646) = 0.38633

Approximately = 0.3863

The probability that the actual costs will exceed the budgeted amount is 0.3863

(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.

Let the budgeted amount = x

Converting 0.09 to percentage = 0.09× 100% = 9%

100 - 9% = 91%

We find the z score of 91%

= 1.341

We are to find x

Using z score formula

z = (x-μ)/σ

1.341 = x - 633/45

Cross Multiply

1.341 × 45 = x - 633

60.345 = x - 633

x = 60.345 + 633

x = $693.345

Approximately to the nearest dollar is $693

Please help me with this :,)

Answers

Answer:

alright gotcha!

Step-by-step explanation:

I am attaching the photo gimme some time

Aiisha- 15

Jose- 18

Raul- 15

Ruthie- 19







What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is

Answers

Answer:

the slope is 4,3 and the y intercept is 2

Answer:

Niiger

Step-by-step explanation:

Need help fast!!

Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT

Answers

Answer:

4 miles

Step-by-step explanation:

four times six equals 24

its the number of miles times six equals the minutes

What is the solution
A. -2
B.1
C.(1,2)
D.(1,-1)

Answers

Answer:

Option D

Step-by-step explanation:

Two lines given in the graph represent the system of linear equations.

Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.

Point of intersection of these lines → (1, -1)

Therefore, solution of the given system of equations will be (1, -1)

Option D is the answer.

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