Determine whether the following events are mutually exclusive.
Roll a die. Get a prime number and get an odd number.

Answers

Answer 1

Ask yourself: "Can I roll a prime number and an odd number at the same time?"

Since the answer is "yes it is possible" (eg: rolling a 3), this means the two events are not mutually exclusive. Mutually exclusive events have nothing in common.

In terms of a venn diagram, mutually exclusive events have no overlapping shared region.

Answer: The events are not mutually exclusive

Related Questions

Find the distance between M(-2,3) and N(8,2)

Answers

Answer:

[tex]d=\sqrt{101}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(8-(-2))^2+(2-3)^2}[/tex]

[tex]d=\sqrt{(8+2)^2+(-1)^2}[/tex]

[tex]d=\sqrt{(10)^2+1}[/tex]

[tex]d=\sqrt{100+1}[/tex]

[tex]d=\sqrt{101}[/tex]

PLZZZZZZZZ HELP ME WITH THIS QUESTION ITS DUE TODAY THAT YOU!!! ALSO GIVE YOU BRAINLIEST

1. Max lives in Boston and his cousin Marlene lives in New York City. On the first of December, the temperature in Boston is -5.6 °C and the temperature in New York City is 3.1 degrees below 0 °C. Marlene says that it is colder in New York City because -3.1 °C< -5.6 °C. Is Marlene Correct? Explain why or why not?

Answers

Answer:

I think she is correct..

Find the midpoint of AB if A is at (4, -2) and B is at (16, 6).

Answers

Answer: The midpoint of AB is (10,2)

Please mark me Brainliest

What is the solution to the equation?
1/3x + 4/3(x + 1) -1/6 = 5/6
A) -1/5
B) 1/5
C) -1/3
D) 1/3

Answers

Answer:

A.) - 1/5

Step-by-step explanation:

I divided each side by factors that do not contain the variable.

There are 200 Hungarian Forints to $1. How many Hungarian Forints are there in $150?

Answers

Step-by-step explanation:

$1 = 200 Hungarian Forints

$ 150 = 150×200

= 30,000 Hungarian Forints is the answer.

Answer:

30,000 Hungarian Forints in $150

Which expression is equivalent to 2/3 divided by 4/5

Answers

The answer is 5/6 just Divided

2x+3y=12 (With work)

Answers

Answer: You can't solve this without knowing either x or y

Step-by-step explanation:

The base of this solid crate has an area of 6 square meters. The
height of the crate is 4 meters. What is the volume of the crate?

Answers

if the area is 6 that means the square is 2 x 3. 2 x 3 x 4. that equals 24.

let me know how you did !

Answer:24 cubic meters

Step-by-step explanation:

Find the inverse of -2log3(x+1)

Answers

Answer:

[tex]f[/tex][tex]^-1[/tex][tex](x)[/tex][tex]=[/tex][tex]-x=-{x}/{log} (9)-1[/tex]

Lexie wants to earn at least $400 a week. She earns $10 an hour working at a grocery store and $8 an hour working at a restaurant.

Let x be the number of hours she spends working at the grocery store and let y be the number of hours she spends working at the restaurant. Write an inequality that models this situation.

Answers

Answer:

10x + 8y ≥ 400

Step-by-step explanation:

x equals the number of hours spent working at the grocery store

she earns $10 an hour thus we use 10x

y equals the number of hours she spends working at the restaurant.

she earns $8 an hour thus we use 8y

10x +8y represent the the money she makes in a week combined.

we use greater the "≥" sign because its an estimate of how much she makes. Lexie might have other sources of income. Finally $400 is about how much she makes from the two jobs a week.

Final answer 10x + 8y ≥ 400

Which digit shows tens in the number 153,976

Answers

The 7 shows the tens in the number 153, 976.
Like the answer about the 7 in 153,976

solve x (give answer as fractions or integers). 2^x =1/2​

Answers

Answer:

x = -1

Step-by-step explanation:

When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is [tex]\frac{1}{2}[/tex], you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!

Find the equation of the line that is perpendicular to y = – 1 3 x + 2 and passes though the point (–5, 2).
A) y = 3x + 13
B) y = 3x + 17
C) y = –3x + 13
D) y = –3x + 17

Answers

Answer:

The required equation is y = 3x + 17. Correct: B)

Explanation:

Equation of a line

A line can be represented by an equation of the form

y=mx+b

Where x is the independent variable, m is the slope of the line, m is the y-intercept and y is the dependent variable.

We are given the equation of a line as (corrected)

y=-1/3x+2

Note the slope of this line is m1=-1/3

We are asked to find the equation of another line that is perpendicular to the one above. Two lines are perpendicular if their slopes comply with the following condition:

[tex]m_1*m_2=-1[/tex]

Since we have m1, find m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

[tex]\displaystyle m_2=-\frac{1}{-\frac{1}{3}}=3[/tex]

This means the slope of the required line is 3. We only have to test the options to find which one of us contains the point (-5,2):

A) The slope of this line is 3, so we test the point (-5,2)

2=3(-5)+13=-15+13=-2

Since 2 is different from -2, this option is not correct

B) The slope of this line is 3, so we test the point (-5,2)

2=3(-5)+17=-15+17=2

Since equality stands, this is the correct option

C) The slope of this line is -3, it cannot be the required line. This option is not correct

D) The slope of this line is -3, it cannot be the required line. This option is not correct

43 • 4-6 = 45 • 4p
pls answer fast

Answers

4-6 is -2, so that means that we now have 43•-2=45•4p so we then subtract 45 from both sides, leaving us with -2•-2=4p, now we multiply -2•-2 and get 4, then divide by 4 to get p=1

Answer:

83/90

Step-by-step explanation:

43*4=172

172-6=45*4p

166=45*4p

166=180p

166/180=p

83/90=p

Also can I have brainliest!

Spectrum provides cable television and Internet service to over million customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. 100,000 0.08 200,000 0.20 300,000 0.24 400,000 0.29 500,000 0.11 600,000 0.08 a. Is this probability distribution valid? Yes b. What is the probability Spectrum will obtain more than new subscribers? (to 2 decimals) c. What is the probability Spectrum will obtain fewer than new subscribers? (to 2 decimals)

Answers

Complete question :

a. Is this probability distribution valid? Yes b. What is the probability Spectrum will obtain more than 400,000 new subscribers? (to 2 decimals) c. What is the probability Spectrum will obtain fewer than 200,000 new subscribers? (to 2 decimals)

Answer:

Yes ; 0.19 ; 0.08

Step-by-step explanation:

Given the data:

__X_______p(X)

100,000___ 0.08

200,000__ 0.20

300,000__ 0.24

400,000__ 0.29

500,000___ 0.11

600,000___0.08

a. Is this probability distribution valid?

To determine validity of the distribution :

ΣP(X) must be equal to 1

(0.08 + 0.20 + 0.24 + 0.29 + 0.11 + 0.08) = 1

Hence, the distribution is valid.

What is the probability Spectrum will obtain more than 400,000 new subscribers

Probability of obtaining more than 400,000 new subscribers :

P > 400,000 = P(500,000) + P(600,000)

= 0.11 + 0.08 = 0.19

C.) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?

P < 200,000 = P(100,000)

= 0.08

What expresses 427 thousand is scientific notation

Answers

hi it’s 4.27 x 10^5 (to the 5th power)

How can graphs on the coordinate plane represent proportional relationships

Answers

Answer:

Step-by-step explanation:

La gráfica de una función de proporcionalidad directa es una recta que pasa por el origen de coordenadas. En consecuencia, para representarla sólo necesitamos un punto y el origen, los cuales uniremos mediante una línea recta. Para obtener dicho punto usaremos la ecuación.

Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Which expressions would represent his total cost? Check all that apply.

Answers

Answer:

The answer is D

Step-by-step explanation:

Just answered the question on edge

simplifly 3x + 2 – 3x + 7 +5x and find the coefficient in the simplified expression

Answers

Answer:

3x + 2 - 3x + 7 + 5x = 5x + 9

Step-by-step explanation:

The coefficient is 5.

free brazil how do you do 2 divided by 10

Answers

Answer:

2/10=0.2

Step-by-step explanation:

What I did is I divided 2 and 10 as shown above and I got 0.2.

I think you mean 10÷5=2

A person driving along the road moves at a rate of 56 miles per hour driven. How far does the person drive
in 1.5 hours?

Answers

Answer:

84 miles

Step-by-step explanation:

56 miles = 1 hour

1.5 hour = 84 miles

56/1 * 1.5 = 84

Subtract -9x-7−9x−7 from 8x^2-5x+9

Answers

Answer:

59x - 5

Step-by-step

8x^2-5x+9 - (-9x) -7−9x−7

64x - 5x + 9 - 7 - 9x - 7

59x + 9 - 14

59x - 5

Good Luck

4∣x−12∣+1=−7∣x−12∣+1

Pls

Answers

the answer might be x=12

Answer:

Hello! :) I hope I’m correct!!

Step-by-step explanation:

I think the answer should be: X = 12

The steps in order to solve the problem is:

1. You have to subtract 1 from both sides.

2. Simplify.

3. Now you have to add 7|x-12| to both sides.

3. Than you have to simplify again.

4. Next divide both of the sides by 11.

5. And than you simplify again.

6. Use the rule “ If |u| = 0 than u = 0

( x - 12 = 0)

Therefore the answer would be:

X = 12

Hope this helps!!

If you have any questions about these steps, feel free to ask them!! :)

By: BrainlyAnime ^-^

The perimeter of the rectangle below is 72 units. Find the value of y

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

[tex]2(3y+2)+2(4y-1) = 72\\6y+4+8y-2=72\\14y+2=72\\14y=70\\y=5[/tex]

15. True or False: Is x = 4 a solution to X + 51 = -9
True
False

Answers

Answer:

False

Step-by-step explanation:

if x=4 the answer would not be -9

x+51 would add up to 55

so it would be : 4+51=55

now if we wanted the answer to be -9 , x would have to be different

-60+51=-9

but in this case x is no -60, it's 4, so no this statement is false.

It is false as
X = 4
4+51 is not equal to -9

Help please 34 points


A 96 in. board will be cut into pieces to add a
decorative trim to a rectangular table. The length
of the table is twice the width. All of the board will
be used to add the trim, and the board will be cut
into only four pieces to match the four sides of the
table. Find the location of the cut marks on the
board.

Answers

Answer:

16 in, 32 in, 64 in

Step-by-step explanation:

Length of the board = 96 in

Size of the pieces:

2(x + 2x) = 966x = 96x = 16

Pieces are:

2 off 16 in2 off 32 in

Cut marks:

16 in, 32 in, 64 in

Complete the conditional statement.

If -2a > 6, then _____.

a > -3
a > 3
a < 3
a < -3

Answers

Answer:

The last one is correct

a<-3

What's the solution set of -3 < x + 5 < 7?
OA) -8 < X < 12
B) -8 < xor x < 12
C) -8 < xor x < 2
D) -8 < X<2

Answers

Answer:

the answer is D, -8< X <2

(v-2)3 = v6 • vm pls answer fast

Answers

Answer:

-2=v

Step-by-step explanation:

(v-2)3=v6    use the distributive property

3v-6=6v      move the variables to one side

-6=3v         islolate the variable by dividing both sides by 3

-2=v           solution

9. Ashley's bank account had a balance of -$448.37. She deposited 3
checks of $105.30. What is Ashley's new bank account balance after the
deposits?

Answers

Answer:

-$132.47

Step-by-step explanation:

you multiply 3 by 105.3 since she has 3 deposits of the same amount

3*105.3=315.9

Ashley has -$448.37 so you add $315.9 which is the total amount she deposited

-448.37+315.9=-132.47

Ashley has -$132.47 after the deposits

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