What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2

Answers

Answer 1

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

Answer 2

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

What is a uniform probability distribution?

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

How do we solve the given question?

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

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What Is The Sum Of The Probabilities In A Uniform Probability Distribution? A) 0 B) Infinite C) 1 D)2

Related Questions

Based on the tables, what is the solution to the equation 2(3)X = 3x + 3? (4 points)
x = -1
x = 0
x = 1
X = 6

Answers

Answer: x=1

Step-by-step explanation:

When solving for x you must isolate the terms. In order to isolate the terms divide both sides by 3 in order to break up the 3x. that way you should have 2x=x+1 from there i will subtract the x from both sides, so i receive x=1.

X=1

Explanation:

2(3)x = 3x+3
6x=3x+3
3x=3
X=1

There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?

Answers

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning

[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]

There were 65 people on the train to begin with.

Answer:

65 people

Step-by-step explanation:

Well, we need to work backward,

63 on the train and 17 got on so we do 63 - 17 = 46

Then 19 got off so 46 + 19 = 65

Hence, 65 people were on the train on the first stop.

HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box with side lengths of 16 inches. In square inches, how much of the box is empty? Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation

portion of square empty =  256 - 153.86 = 102.14cm^2

I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!! Which equation does the graph below represent? y = −2x y = x y = 2x y = x (click the picture below)

Answers

Answer:

y = -2x

Step-by-step explanation:

Some points are (1,-2) , (2, -4), and (3,-6).

From these three points, we can try each of the equations to see what is correct.

If y = -2x

-2 = (-2)1

-4 = (-2)2

-6 = (-2)3

If y = x

-2 ≠ 1

-4 ≠ 2

-6 ≠ 3

If y = 2x

-2 ≠ 2(1)

-4 ≠ 2(2)

-6 ≠ 2(3)

how do i measure the bounce height of a tennis ball released from a height of 150 cm?​

Answers

Answer:

You can use a slow motion camera and see clearly. You should probably put a meter ruler in the background so you can check the height

Step-by-step explanation:

What is the sum of x?

Answers

Answer:

the answer is 40

Step-by-step explanation:

x+60

x=60-20

x=20

The answer: sum of x is 40.

Point A is (-6,-5) Point C is (4,0) Find the coordinates of point B on AC such that the ratio of AB to BC is 2:3.

Answers

Answer:

(-2, -3)

Step-by-step explanation:

x coord. from -6 to 4 is 10 units / 5 parts = 2

point B is 2 units * 2 from point A, so x = -2

y coord. from -5 to 0 is 5 units / 5 parts = 1

point B is 2 units * 1 from point A, so y = -3

Answer:

(-2,-3)

Step-by-step explanation:

khan acdemy

is this right? i’ll give brainliest :)

Answers

It is.

[tex]x-10 \geq 0\\\\x \geq 10\\\\\\-5 +n< -6\\\\n < 5-6\\\\n< -1[/tex]

Answer:

Correctomundo!

Step-by-step explanation:

For x-10 > 0:

1. Add 10 to both sides. x- 10 + 10 > 0 + 10

x > 10

For -5 + n < -6:

1. Simplify both sides of the inequality.  n - 5 < -6

2. Add 5 to both sides. n - 5 + 5 < -6 + 5

n < -1

:)

Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).

Time (m) Remaining Volume (L)
4 148
6 112
8 76

What is the size of her pool?

Answers

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?

Answers

54/9 = 6
12 x 6 = 72
72 feet in 54 seconds
54/72 = 0.75
1 foot = 0.75 seconds
0.75 x 54 = 40.2 seconds to travel 54 feet

Answer:

40.5 sec

Step-by-step explanation:

The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.

In 54 sec, the water will have moved

(4/3 ft/sec)(54 sec) = 72 ft.

If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide

54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:

   54 ft

---------------- = 40.5 sec

(4/3 ft/sec)

PLEASE HURRY! ANSWER ASAP

Which two grids can be combined to get 140%?

Square A) A grid model with 100 squares with 1 square shaded.
Square B) A grid model with 100 squares with 15 squares shaded.
Square C) A grid model with 100 squares with 40 squares shaded.
Square D) A grid model with 100 squares with 100 squares shaded

A and B
A and C
B and D
C and D​

Answers

Answer: C and D

A.
1/100=0.01=1%

B.
15/100=0.15=15%

C.
40/100=0.40=40%

D.
100/100=1=100%

40% + 100% =140%

i hope this helps <3

Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
A. What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
B. What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
C. What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green? D. Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.

Answers

The probabilities are as follows A.3/10, B. 1/5, C. 1/10, D.  2/5

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Letitia tells her son, Evan, to close his eyes and pick out one piece of candy from the package. Calculate the probability of selecting each colour of candy.

The probability will be calculated as:-

The probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow

3/10

The probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red

1/5

The probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green

1/10

The order in which she draws out the red, green, and yellow pieces affects the probability.

2/5

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Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100e2t C) A = 100 + te2 D) A = 100 + e2t

Answers

The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]

In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.

The given case can be shown as a continuous growth, with:

Initial population, P = 100,

Rate of growth, r = 200% = 2, and,

The time period, t years.

Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:

[tex]A = 100e^{2t}[/tex].

Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

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Which formula can be used to describe the sequence? –81, 108, –144, 192, ...

Answers

Answer:

a(n) = -81(-4/3)^(n - 1)

Step-by-step explanation:

The first term is -81.  From -81 we obtain the next term, 108, by multiplying -81 by -4/3.  Note how (-4/3)(108) = -144 as anticipated.

Thus, the common ratio is -4/3.

The explicit function for this geometric series is

a(n) = -81(-4/3)^(n - 1)

Answer:

C

Step-by-step explanation:

What is the volume of the cylinder below?
1
1
4
5
A. 4577 units 3
B. 90 units
C. 367 units 3
D. 727 units 3

Answers

Answer:

36pi Units^3

Step-by-step explanation:

Slanted (oblique) cylinders have the same volume as standard (right) cylinders.  

V=pi r-squared h

V=pix3x3x4

V=36 pi Units cubed

Answer:

The correct answer is 36 pi units^3

Step-by-step explanation:

The interior ages of a triangle have measure
55,25", and x find the value of
these 3 problems ty

Answers

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

Answer:
100 degrees just think about how all the angles in a triangle add up to 180 degrees

Which of the following theorems verifies that WXY=PME?

A. HA
B. HL
C. LA
D. AA

Answers

Answer: B.  HL

HL = hypotenuse leg

We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.

The theorem used is HL.

What is theorem?

A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.

Given:

In both triangles

XW = MP  (given)

XY = ME (given)

As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.

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The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?

Answers

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

Please hurry!

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Answers

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

The first one is the best

9. Find P(rolling 1 or 5) with one number cube.

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

Which inequality is represented by the graph

Answers

Answer:

(-2, 5) < x

Step-by-step explanation:

Answer:

2/5x-1.5 > 0

Step-by-step explanation:

Answer pls I can answer ur question maybe

Answers

Answer:

[tex]C=5\pi \approx15.71[/tex]

Step-by-step explanation:

The arc length of the semicircle is basically the circumference of it. Therefore, we can use the circumference formula.

The circumference of a full circle is:

[tex]C=2\pi r[/tex]

Therefore, the circumference of a semicircle is half of that (ignoring the diameter):

[tex]C=\pi r[/tex]

The radius is 5.

[tex]C=\pi (5)=5\pi \approx15.71[/tex]

The arc length is around 15.71 units.

Answer:

39.25

Step-by-step explanation:

5^2=25

25x3.14=78.5

78.5/2=39.25

please answer need help with equation

Answers

Answer:

12

Step-by-step explanation:

We can use PEMDAS. First, we need to calculate the stuff in the parentheses, then the exponent, then the multiplication and finally, the addition.

1/3(4 · 3) + 2³

= 1/3 · 12 + 2³  -- Parentheses

= 1/3 · 12 + 8 -- Exponents

= 4 + 8 -- Multiplication

= 12 -- Addition

What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?

Answers

Answer

the third(5/2)

Step-by-step explanation:

[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]

=[(5^3)*(2^2)]/[(2^3)*(5^2)]

=[5^(3-2)]*[2^(2-3)]

=5*(1/2)

=5/2 or 2.5

Answer:

5/2

Step-by-step explanation:

Hope it helps!!

Btw it was right on the test!!

A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles

Answers

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

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Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.

Answers

Answer:

  10

Step-by-step explanation:

  Pabp = AB +BP +AP

  Papc = AP +PC +CA

So the sum of perimeters of the two smaller triangles is ...

  Pabp +Papc = AB +BP +AP + AP +PC +CA

  = (AB +BP +PC +CA) +2AP

  = Pabc +2AP

Filling in numbers, we have ...

  30 +35 = 45 +2AP

  20 = 2AP . . . . subtract 45

  10 = AP . . . . . . divide by 2

The length of AP is 10 units.

let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).

4x²+6x-3+12/2x+1. 4x²+6x+3+12/2x+1. 4x²+6x-3-12/2x+1. 4x²+6x+3-12/2x+1​

Answers

Answer:

f(x)/g(x) = 4x^2+6x-3  remainder -12

or

f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)

or

((4x²+6x-3)-12)/(2x+1)

Step-by-step explanation:

f(x)= 8x³ + 16x² -15

g(x) = 2x+1.

Using long division,

f(x)/g(x) = 4x^2+6x-3  remainder -12

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Answers

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct? Please help! D:

Answers

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

Answer:

If this is your question:

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]

Then your answer is:

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]    

I saw a lot of one answers, but the question is Select ALL that Apply

not just c or b

I hope this helped :))))) (●'◡'●)

PS: brainliest would be great but i'm not askin for it

On the graph of an exponential function representing growth what happens to the slope of the graph as X increases

Answers

Answer:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

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Starting from an airport, an airplane flies 210 miles southeast and then 210 miles south. How far, in miles, from the airport is the plane? (Round your answer to the nearest mile.) The Federal Reserve and the money supply Suppose the money supply (as measured by checkable deposits) is currently $400 billion. The required reserve ratio is 20%. Banks hold $80 billion in reserves, so there are no excess reserves. The Federal Reserve ("the Fed") wants to decrease the money supply by $35 billion, to $365 billion. It could do this through open-market operations or by changing the required reserve ratio. Assume for this question that you can use the oversimplified money multiplier formula. If the Fed wants to decrease the money supply using open-market operations, it shouldsell $7 billion worth of U.S. government bonds. If the Fed wants to decrease the money supply by adjusting the required reserve ratio, it shouldincrease the required reserve ratio. 5. 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The other player has a mass of 90 kg and is running at -9.0 m/s. What is the momentum of the system after the football players collide? 93 kg m/s 1,713 kg m/s. 810 kg m/s. 903 kg m/s. Fortune Enterprises is an all-equity firm that is considering issuing $13.5 million of perpetual debt. The interest rate is 10%. The firm will use the proceeds of the bond sale to repurchase equity. Fortune distributes all earnings available to stockholders immediately as dividends. The firm will generate $3 million of earnings before interest and taxes (EBIT) every year into perpetuity. Fortune is subject to a corporate tax rate of 40%. Suppose the personal tax rate on interest income is 55%, and the personal tax rate on equity income is 20%.What is the annual after-tax cash flow to debt holders under each plan?a. Debt holders get $0 mil. under the unlevered plan vs. 1.2 mil. under the levered planb. Debt holders get $1.2 mil. under the unlevered plan vs. 0.66 mil. under the levered planc. Debt holders get $0 mil. under the unlevered plan vs. 0.66 mil. under the levered pland. Debt holders get $0 mil. under the unlevered plan vs. 0.6075 mil. under the levered plan No one really cares or should care about the elements of music.TrueFalse 2. The table below shows the activity on the credit card statement of Miss Pepper Mills for the month of April. She started the month with a balance of $342.57. Date Activity Location Amount04/05 Payment Payment $200.00 04/15 Charge Gas $26.37 04/22 Charge Macy's $105.42 04/25 Charge Starbuck's $4.24 a. Find the average daily balance.b. If her card charges an 18.5% annual interest rate on her average daily balance, calculate Miss Pepper Mills finance charge for the month of April. An observational study is described. Determine the given element. An educational researcher used school records to determine that, in one school district, 84% of children living in two-parent homes graduated high school while 75% of children living in single-parent homes graduated high school. Determine the parameter of interest. Group of answer choices The term suffrage means PLEASE HELP ME I DONT UNDERSTAND AND NOW IM WRITING STUFF TO GET AT LEAST 20 WORDS SO I CAN ASK THE QUESTION If the U.S. dollar appreciates in the foreign exchange market, U.S. exports will be __________ and U.S. imports will be __________. Find two numbers in a given ratio such that the difference of their squares is to the sum of the numbers in a given ratio.Ratios, respectively, are 3 to 1 and 6 to 1.