Which of the following pairs of events are mutually exclusive? Rolling a die; A={Rolling an even number}, B={Rolling a number greater than 4} Picking a card; A= {Selecting a 7}, B={Selecting a Heart} Tossing a coin twice; A ={no Heads}, B={at least 1 Head} Rolling two 6-sided dice; A={rolling a sum of 4}, B={rolling a 3 on one die}

Answers

Answer 1

Answer:

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

Step-by-step explanation:

Mutually exclusive:

If two events are mutually exclusive, if one events happen, the other cannot happen, and vice-versa.

Rolling a die; A={Rolling an even number}, B={Rolling a number greater than 4}

A die has the following outcomes: 1,2,3,4,5,6

Even numbers: 2,4,6

Greater than 4: 5, 6

6 is an outcome of both events A and B, so they are not mutually exclusive.

Picking a card; A= {Selecting a 7}, B={Selecting a Heart}

Cards numbered from 1 to 13, each number with 4 types. So we can have a card of hearts numbered 7, which means that these events are not mutually exclusive.

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

If you get no heads, the probability of at least 1 head is 0.

If you get at least 1 head, the probability of no heads is 0.

This means that this is the answer, that is, these events are mutually exclusive.

Rolling two 6-sided dice; A={rolling a sum of 4}, B={rolling a 3 on one die}

(3,1) or (1,3) has a sum of 4 and a 3 on one die, which means that these events are not mutually exclusive.


Related Questions

Show work to determine the value of x.

Answers

ok so since the total measurement is 180° and you know that 1 of the sides is 40° and the other 2 are the same you will just need to subtract 40 from 180 and split that in half

here's the formula

[tex](180 - 40) \div 2 = \\ 140 \div 2 = \\ 70[/tex]

therefore

x=70°

bank wishing to increase its customer base advertises that it has the fastest service and that virtually all of its customers are served in less than 9 minutes. A management scientist has studied the service times and concluded that service times are exponentially distributed with a mean of 6 minutes. Determine what the bank means when it claims 'virtually all' its customers are served in under 9 minutes. Proportion of customers served in under 9 minutes

Answers

Answer:

"0.7769" is the right approach. A further explanation is given below.

Step-by-step explanation:

According to the question,

The parameter for the exponential distribution,

μ = 6

x = 9

Now,

⇒  [tex]P(X < 9) = 1 - exp ( \frac{-x}{\mu} )[/tex]

On substituting the given values in the above equation, we get

⇒                  [tex]= 1 - exp (\frac{-9}{6} )[/tex]

⇒                  [tex]=1-exp(-1.5)[/tex]

⇒                  [tex]=1-0.2231[/tex]

⇒                  [tex]=0.7769[/tex]

Find the value of x and the measure of the missing angle labeled A:

Answers

Answer:

below with explaination

Step-by-step explanation:

angle A + angle B + angle C = 180

x+x+37+x+67=180

3x+104=180

3x=180-104

3x=76

x=76÷3

x=25.3

angle A = 62.3

Answer:

104 and 90

Step-by-step explanation:

12 4/9 +14 5/12=
What’s the answer

Answers

Answer:

The answer would be 28 93/108 or 28 31/36

Step-by-step explanation:

What is the probability of rolling a 4, 5, or 6 on a die?

Answers

Answer:

1/6 chance

Step-by-step explanation:

Which matches the inequality?

Answers

Answer:

x is greater than or equal to 0

Step-by-step explanation:

PLEASE HELP. I NEED TO GET THIS RIGHT

Answers

Ciro is right

Gerard is wrong

Gunther is also wrong

Equal expression:

1 - 2(40x - 12)


Help ASAP 45 points

Answers

Answer:

fd

Step-by-step explanation:

Fd:
Explanation : thanks

Question on imagine




Will give 95 points if answer quickly

Answers

Answer:

B its 40cm^2

Step-by-step explanation:

break this odd shape up into two smaller ones like a 5x4 box and a 2x10 rectangle and add those two area together

Answer:

C).

Step-by-step explanation:

E


Lisa wants to measure the height of a tree. She sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 38 ft from the tree, and
Lisa is standing 6.2 ft from the mirror, as shown in the figure. Her eyes are 6 ft above the ground. How tall is the tree? Round your answer to the nearest foot.
(The figure is not drawn to scale.)

Answers

Answer:

37

Step-by-step explanation:

38 times 6 divided by 6.2

228/6.2 = 36.774....

Round to meter is 37

Write the fraction product of a whole number and a unit fraction.
5/12

Answers

Answer:

5*1/12

Step-by-step explanation:

I don't know if this is right but hopefully it is ^^"

You are given data on number of radio ads and sales for a local department store. You had observations for 20 months. The correlation between ads and sales is 0.40. Does this indicate a positive and significant relationship between ads and sales at the 5% level of significance

Answers

Answer:

"No" would be the appropriate response. A further explanation is provided below.

Step-by-step explanation:

According to the question,

Number of observations,

n = 20

Significance level,

d = 5%

i.e.,

= 0.05

Calculated correlation,

= 0.40

Critical correlation value will be:

=  0.444

According to the question, we can see that the calculated correlation i.e., "0.40" is far less than the critical correlation value i.e., "0.444". The null hypothesis has always been not rejected. Thus it doesn't indicate the significant relationship.

So the above it the right response.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
12
11

Answers

Answer:

4.80

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] = \sqrt{ {12}^{2} - {11}^{2}} \\ = 4.7958... \\ = 4.8[/tex]

You can form a right triangle by cutting a what in half diagonally

Answers

Answer:

An equilateral triangle.

Answer:

a rectangle or square

Step-by-step explanation:

if you have a box think about it in an image in your head.

What can you say about the function that generated the following table of
values?
у
-3
0.125
0.5
-1
2
1
8
3
64
6
6
A. not enough information to answer the question
B. the function has more than one x-intercept
O c. the function has exactly one x-intercept
D. the function has no x-intercepts

Answers

The function has exactly one x-intercept.

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Based on the table of values provided, we can see that as x increases, y also increases.

This means that the function is increasing function.

Furthermore,

Since the y-values are negative for small x-values and positive for large

x-values, there must be at least one x-intercept where the function changes sign.

So,

We can conclude that the function that generated the table of values has exactly one x-intercept.

Thus,

The function has exactly one x-intercept.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

pls answer i beg who answers correct get 100 points

Answers

Answer:

y=7p+5e

Step-by-step explanation:

I guess, if that is what you are asking

Answer:

If there 3 slices and 4 slices I would say about near 460 calories or higher

Step-by-step explanation:

Can you please help me with this question:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

letter d

Step-by-step explanation:

a loss is negative do a loss of 18 would be -18

Verify the identity.

sin (x + y) - sin (x - y) = 2 cos x sin y

Answers

Answer:

Step-by-step explanation:

The graph below shows Marlee's speeds through the duration of her run. Over which interval is Marlee's average rate of change equal to zero?

Answers

Answer:

1 to 5

Step-by-step explanation:

Avg rate of change = 0

m=0

In the interval between 1 to 5, the average rate of change is zero. No increase or decrease.

Help please, i'll give brainliest for the correct answer!

Answers

Answer:

I'm pretty sure it's A.

Step-by-step explanation:

.


What is the next number in the following geometric sequence? *

{1, 3, 9,...}

A 3
B 27
C 2
D 1

Answers

Answer:

B. 27 Is the answer

Step-by-step explanation:

hope it helped u

There are 12 boys and 15 girls in my classroom. What is the ratio of girls to total students in the classroom?

Answers

I acidently removed the stuff but anyways the answer is 12:27 or 12 to 27

do 12 + 15 = 27, and so 12 to 27 :)

ABC is a straight line and angle CBD is 116

Answers

I think this is what your talking about

Suppose x is any positive number.
Circle 1: center (0, 0) and radius 2x
Circle 2: center (0, 0) and radius 10x
Why iS circle 1 similar to circle 2?
• Both circles have congruent diameters.
• 1 Circle 1 and circle 2 have equal areas.
O Circle 2 is a dilation of circle 1 with a scale factor of 0.2.
O Circle 2 is a dilation of circle 1 with 1 a scale factor of 5.

Answers

Answer:

Step-by-step explanation:

circle 2 is a dilation of circle 1 with a scale factor of 5

Answer:

Circle 2 is a dilation of circle 1 with a scale factor of 5.

Step-by-step explanation:

Verified by correct test results

Write the expanded form of the expression. ​4(8x - 2​)

Answers

Answer:

Step-by-step explanation:

Use the Distributive Rule.

4(8x - 2) = 4·8x - 4·2 = 32x - 8

Answer:

4 x 8x - 4 x 2

Step-by-step explanation:

hope this helps :)


IS THIS CORRECT ???????

Answers

Answer:

yes

Step-by-step explanation:

Answer:Yep

Step-by-step explanation:

Jessica's school bus stop is 60 yards from her house. For a normal school week, how many feet will Jessica walk to and from the bus stop.

Answers

Answer:

1,800 feet

Step-by-step explanation:

Assuming that the normal school week is 5 days, she will walk for 5 days to and from. Each day she will walk 120 yards to and from the stop. Multiply that number by 5 and you get your answer of 600 yards. The answer is wanted in feet, so you have to consider yards to feet conversions. 1 yard is three feet. Therefore, you multiply 600 by 3 and you get your answer in feet.

How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?

Answers

Answer:

2 to the right i belive

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

Answer: Four.

Step-by-step explanation: There are four angles formed by each intersection. Since m and n are parallel, the angles formed will be the same.

5x6x6x6x6x6x62x3x3x3x5x5​

Answers

Answer:

didid yooooouuu juuuustttttt tyyyypppppeeeee tthhhhhissss iiiiinnnnnn

Step-by-step explanation:

what is thiiiiisssss

Answer:

1627128000 ?

Step-by-step explanation:

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