In a probability model, the probabilities of all the outcomes in the sample space add up to _____.

Answers

Answer 1

Answer:

They all add up to 1

Step-by-step explanation:

For a given probability model, when we add all possible probabilities, our answer must be equal to 1.

In a probability model, what we are trying to do is to look at all possible outcomes that can arise from using the model. All these outcomes can be seen as a fraction of the total. They each have their own percentage of occurrence.

It is when we are up all these fractions that we can get the maximum which must not be greater than 1. Thus, all probabilities of occurrence in a probability model ranges from 0 to 1, with the addition of all the probabilities equal to 1. 0 being the probability that the intended event has no probability of occurrence at all and 1 meaning it has the maximum possible probability to occur


Related Questions


What is 4.937 rounded to the nearest hundredth?
A) 4.90
B) 4.93
C) 4.94
D) 5.00

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

The reciprocal of the tangent is the ___.

A. tangent
B. secant
C. cosecant
D. cotangent

Answers

the awnser is d because it is the ratio of the adjacent side to the opposite side in a right triangle

Simplify to create an equivalent expression. -2(-5n+6)+5(2-7n). Choose one answer

A) -2
B) -25n+10
C) -25n+2
D) -25n-2

Answers

Answer:

-25n-2

Step-by-step explanation:

-2(-5n+6)+5(2-7n)

-(-2×5n+2×6)+(-5×7n+5×2)

The fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his sandwich, and Sofia ate 5/8 of her sandwich. Who ate the greatest amount of their sandwich?

Answers

Answer:

Leroy ate the most

Step-by-step explanation:

Can you plz answer question on the screenshot?

Answers

Answer:

Step-by-step explanation:

The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of . 240 square inches 384 square inches 480 square inches 624 square inches

Answers

Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]

Lateral surface area = πrl

[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Prodigy math again. Please help,. will give brainliest if right!

Answers

Answer:

1. 6 6/10

2. 7 6/10

Step-by-step explanation:

Answer:

1. 8 6/10

2. 9 6/10

Step-by-step explanation:

Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26

Answers

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

what is x if x/5 =-9

Answers

Answer:

x = -45

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:

(x/5) * 5 = (-9) * 5

x = -9 * 5

x = -45

x = -45 is your answer.

~

Steps to solve:

x/5 = -9

~Multiply 5 to both sides

x/5 * 5 = -9 * 5

~Simplify

x = -45

Best of Luck!

EVERYTHING IS DUE IN 2 HOURS AND I CANT FIGURE THIS OUT AND CANT CONTINUE WITHOUT IT PLEASE HELP a)find the probability that a randomly selected student from ms laytons class failed the test
b) find the probabbility that a randomly selected student who failed the test from mrs d’s class.

Answers

Answer:

Step-by-step explanation:

Answer -

a) 50% or 1/2

Explanation -

12+12=24

therefore, 12/24 = 1/2 which is 50%

b) 46.43% or 13/28

Explanation -

15+13=28

therefore, 13/28 which is 46.6%

Consider these triangles with two known angle
measures.
w
Answer the questions about the triangles.
Which equation can be used to determine the measure
of angle Q?
What is the treasure of angle Y?
48°
48R
What can be concluded about the measure of angle Q
and the measure of angle Y?
86x
86
Р
Y

Answers

Answer:

1. 48 + 86 + + Q = 180

2. 46 degrees

3. They are congruent

Step-by-step explanation:

I just got them right on edg

Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.

Using angle sum property, ∠Y = 46°.

It can be concluded that ∠Y = ∠Q.

What is angle sum property?

The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.

In ΔPQR,

∠P + ∠Q + ∠R = 180° (angle sum property)

86 + ∠Q + 48 = 180

∠Q = 180 - 86 - 48 = 46°

In ΔXYZ,

∠X + ∠Y + ∠Z = 180° (angle sum property)

86 + ∠Y + 48 = 180

∠Y = 180 - 86 - 48 = 46°

As visible, ∠Q = ∠Y.

Learn more about angle sum property here

https://brainly.com/question/4316040

#SPJ3

Which ordered pairs show the location of the bleachers? Check all that apply. (2.0, 1 and one-half) (1.50, 2.0) (–2.0, 1.50) (1.50, –2.0) (1 and one-half, 2) (1 and one-half, negative 2) plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2 and 5

Step-by-step explanation:

hope this helps :)

Simplify the expressions:
1) [tex]\sqrt{x^6}[/tex] where x<0
2) [tex]\sqrt{m^4}[/tex]
3) 1.5 * [tex]\sqrt{t^1 ^4}[/tex] where t<0

Answers

Answer:

1. -x³

2. m²

3. -1.5t⁷

Step-by-step explanation:

x⁶^½ = +/- x³

Since x is negative, postive square root would be -x³

m⁴^½ = +/- m²

Positive square root is m²

t¹⁷^½ = +/- t⁷

Since t is negative, postive square root would be -t⁷

1.5 × -t⁷ = -1.5t⁷

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Hello!

Answer:

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

Explanation:

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

         

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.​

Answers

Answer: (2,4) They bought 2 sodas and 4 coffees.

Step-by-step explanation:

A. c + s=6  where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c    +  s) =6(-1.50)   we will multiply the first equation by -1.50 to eliminate the c

 New equation;  -1.50 - 1.50s = -9         -0.3s/-0.3=-0.6/-0.3  s=2  

                            -150 +  1.20s = 8.40          

So we know they bought 2 sodas.   so we will plot 2 into the equation.

1.50c  + 1.20(2)=8.40   c= 4  

Find the volume of the pyramid.

Answers

Answer:

200cm³

Step-by-step explanation:

Volume=[tex]\frac{LXBXH}{3}[/tex]

so 10×10×6=600

600÷3=200

What is the measurement of < SRT

Triangle

R unknow
S 53 degree
T 48 degree


A) 69 °
B) 79°
C) 99°
D)101 °

Answers

Answer:

The sum of all the angles of any triangle is 180°

So, 180 - (53 + 48) = 180 - 101 = 79

<SRT = 79°

Answer:

B

Step-by-step explanation:

i took the unit test <3

Use the correct inverse trig function to find the missing angle, round to the nearest whole number.
15
?
31

Answers

Answer:

61 degrees is the missing angle measure

Step-by-step explanation:

[tex]cos^{-1} (\frac{15}{31})[/tex]     Use this equation to find the missing angle

61 degrees is the missing angle measure

If this asnwer is correct, please make me Brainliest!

The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+

Answers

Answer:x+3

Step-by-step explanation:

5×3=15

5+3=8x

Answer:

A

Step-by-step explanation:

Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?

Answers

Answer:use a calculator

Step-by-step explanation:

The unit rate for a proportional relationship is y = 6x.

The proportional relationship, can be find by the formula,

y = kx.........................1

Where,

X- position at X- cordinate= 1

Y - position at Y- coordinate = 6

k - constant of proportionality

put the values in the equation,

6 = k1

k = 6

Put the value of k into equation 1,

y = 6x

Therefore, the unit rate for a proportional relationship is y = 6x.

To learn more refer to the link:

https://brainly.com/question/12917806


Find the values of θ at which there are horizontal tangent lines on the graph of r = 1 + cos θ.

Answers

Answer:

θ = π/3 and 5π/3

Step-by-step explanation:

x = r cos θ and y = r sin θ.  Therefore:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (r cos θ + r' sin θ) / (-r sin θ + r' cos θ)

In this case, r = 1 + cos θ and r' = -sin θ.

dy/dx = ((1 + cos θ) cos θ + (-sin θ) sin θ) / (-(1 + cos θ) sin θ + (-sin θ) cos θ)

dy/dx = (cos θ + cos²θ − sin²θ) / (-sin θ − sin θ cos θ − sin θ cos θ)

dy/dx = (cos θ + cos²θ − (1 − cos²θ)) / (-sin θ (1 + 2 cos θ))

dy/dx = (cos θ + 2 cos²θ − 1) / (-sin θ (1 + 2 cos θ))

The tangent line is horizontal when the numerator of dy/dx is 0 and the denominator of dy/dx is not 0.

0 = 2 cos²θ + cos θ − 1

0 = (cos θ + 1) (2 cos θ − 1)

cos θ = -1 or 1/2

θ = π/3, π, 5π/3

0 = -sin θ (1 + 2 cos θ)

sin θ = 0 or cos θ = -1/2

θ = 0, 2π/3, π, 4π/3

Therefore, the answer is θ = π/3 and 5π/3.

Please Help it urgent

Answers

Answer:

Angle BEA

Step-by-step explanation:

They share the same straight line and their degrees add to 180

1,2,10,6,4,4,6,3,1,4 what is the median ?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The median is the middle number in a set of numbers.

First what we need to do is put the numbers from least to greatest (ascending order).

1, 2, 10,6, 4, 4, 6, 3, 1, 4

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Now that we have ordered them, which one(s) is/are in the middle?

We have two numbers that share the middle. They are 4 and 4.

In cases where two numbers share the middle, we average them out. We do this by adding our two numbers together and then dividing by 2.

4 + 4 = 8

8 ÷ 2 = 4

Therefore our median is 4!



Two points are shown on the graph. What is the midpoint between these two points?
A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)

Answers

Can you show the graph please

Answer: C (-2,1)

Step-by-step explanation:

Which number is a perfect square 249, 265, or 324?

Answers

Answer:

324

Step-by-step explanation:

A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.

Answer:

324

Step-by-step explanation:

18*18. Hope that helped, vote, thanks, brainliest ;)

Have a great day!

What integer represents a drop in temperature of 12°

Answers

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Jack had to purchase a book for college. The book cost $280 at the campus store. Jack found it online for 15% off. How much can he save if he purchases it online?

Answers

Answer:

I think its 238.00

Step-by-step explanation:

Um I’m pretty sure it’s 238.00

A​ town's population is 53 comma 350. About 75 people move out of the town each month. Each​ month, 175 people on average move into town. A nearby town has a population of 55 comma 825. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation. Then solve the equation and answer the question.

Answers

Answer:

In about 9 months the population of the towns will be equal.

Step-by-step explanation:

The population of both cities, after t months, can be modeled by linear functions.

Town A:

Population of 53330.

About 75 people move out of the town each month. Each​ month, 175 people on average move into town.

So, after t months, the population will be:

[tex]A(t) = 53300 + (175 - 75)t[/tex]

[tex]A(t) = 53300 + 100t[/tex]

Town B:

Population of 55,825.

An average of 175 people moving away every month.

So, after t months, the population will be:

[tex]B(t) = 55825 - 175t[/tex]

In about how many months will the populations of the towns be​ equal?

This is t for which:

[tex]A(t) = B(t)[/tex]

[tex]53300 + 100t = 55825 - 175t[/tex]

[tex]275t = 2525[/tex]

[tex]t = \frac{2525}{275}[/tex]

[tex]t = 9.18[/tex]

Rounding to the nearest number

In about 9 months the population of the towns will be equal.

The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent

Answers

Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

What are the solutions of the quadratic equation? x^2-9x+18=0

Answers

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Other Questions
what is the circumference of a circle with the radius of 7 units The box plots show the weights, in pounds, of the dogs in two different animal shelters.Weights of Dogs in Shelter A2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 18, and the box ranges from 16 to 20. A line divides the box at 18.Weights of Dogs in Shelter BOne-half of the dogs in each shelter are between which weights?between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter Bbetween 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter Bbetween 21 and 30 pounds in shelter A; between 18 and 28 pounds in shelter Bbetween 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B how did astronmers use technology to indenifty characteristic of the crab nebula Handy Dandy Grocery is having a sale this week. If you buy a 5pound bag of apples for the regular price, you can get another bag for $1.59. If you buy a 5pound bag of oranges for the regular price, you can get another bag for $2.59. Handy Dandy Grocery Regular price 5pound bag of apples 2.99 5pound bag of oranges 3.99 Part 1 out of 2 Enter an addition equation to find the discount for apples. Use a for apples. Which fruit has a greater discount? How many ways can 12 swimmers finish in first, second, and third place Historically, Texas ranks below most states mivoter registrationb. voter turnoutthe number of government officialsd. the number of jurorsPlease select the best answer from the choices providedoooo 2. Why Journalism so important to politics?A. Political candidates use media to get their views outB. The public needs to have a source of information to base their opinion onC. There needs to be someone to expose corrupt officialsD. Both A and B how the lottery works When you "win," what happensThe lottery Why did the Union want to capture Vicksburg Write a story about a man who does and then comes back to life and then you have to write it in Spanish or in Vietnamese Wolves live and hunt together in a group called a pack. Typically, there is a leader called an alpha male or alpha female, but each member of the pack plays a special role.This is an example of . Find the volume of the cone Lee watches tv for 4 hours per day. During that time , the tv consumes 200 watts per hour. electricity costs (15 cents)/( 1 kilowatt-hour). How much does lees tv cost to operate for a month of 30 days? How can you motivate someone to exercise or play a sport if they have never played the sport or exercised in years. Please explain your reasoning and use examples to help back up your reasons. write down your steps to help this individual to learn and create a healthy habit of exercising or participating in an activity sport. Use your experiences and knowledge to help create an argumentative essay on what you would do or if you would do something for that individual. Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Write in point-slope form an equation of the line that passes through the point (3,5) with slope -4 What is the best thing to do if you only want your close friends to be able to see your posts?AAvoid posting details about your life.BCheck your privacy settings.CChoose your posts carefully.DOnly post photos instead of comments. 13 lb7 oz + 10 lb2 oz PLz help will mark as brainlest each major political party in america is organized by