What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2
Answers
[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.
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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Related Questions
solve for y: y÷1 7/9 = 3/4
Answers
Answer:
y = 4/3
Step-by-step explanation:
The required value of fraction y is 4/3.
Given that,
[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]
Fraction y is to be determined by simplification.
The process in mathematics to operate and interpret the function to make function simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = a / b where the upper value is termed as the numerator and the lower value is the denominator.
⇒Simplification
[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex] ( 1 + 7 / 9 = 16 / 9)
[tex]\frac{y}{\frac{16}{9} } = 3/4[/tex] (Transposition of 16/9 from the denominator to the right)
y = 3 / 4 * 16 / 9
y = 4 / 3
Thus, the required value of fraction y is 4/3.
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Which two solid figures have the same volume?
Answers
Answer:
b
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Hurry please I really need this .
Answers
Answer:
{2,3,4,5}
Step-by-step explanation:
The given set is in set-builders notation form.
IT says that x such that x belongs to integers and it is greater than or equal to 2 and less than on equal to 5.
So, The set will be written as:
=> {2,3,4,5}
Answer:
(2, 3, 4, 5)
Step-by-step explanation:
If you substitute x with all of the numbers you should get (2, 3, 4, 5)
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answers
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
I need the answer ASAP
Answers
Answer:
5
Step-by-step explanation:
When squaring the number 5 (i.e [tex]5^2[/tex] ) the answer is 25. [tex]5^{2}[/tex] is the same thing as 5 times 5. Basically with the square root, you are going backwards, so you are therefore finding the base of it all.
We have a square that has area of 25 square units. The question is: what is the side length? That would be 5 since 5*5 = 25. You would use guess and check if you weren't familiar with square roots. A better option is to use the square root function on the calculator.
Note: the square root undoes the squaring operation
Graph a line with this information: a slope of -5 and y intercept of 4.
Answers
Answer:
See below.
Step-by-step explanation:
The y intercept is 4 so you can mark a point on the line at (0, 4).This is a point on the y-axis 4 units up from the origin (origin is where the axis cross).
The slope is negative so the line will rise to the left.
Mark a point which is 1 unit horizontally to the left of point (0, 4) and 5 units vertically upwards.
Then draw the line to pass through this point and the point (0, 4)
The equation of the line is y = -5x + 4.
1. Find P(rolling 2 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
There are 2 outcomes that fit the category of 2 or a 5
P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes
= 2/6
=1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.
The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.
[tex]\frac{2}{6}=\frac{1}{3}[/tex]
The number of members of an online community increases each month. The
function M(t) = N(1 + ) represents the number of members at month t, where
Nis the initial number of members and ris the rate of increase. Select the
correct statement.
O A. Nincreases each month.
B. The initial value is (1 + r).
C. The function is linear.
D. The value of Mis a product of Nand a factor that does not depend
on N.
Answers
Answer:
Option D.
Step-by-step explanation:
Note: The given function is incomplete. Consider the given function as [tex]M(t)=N(1+r)^t[/tex].
The number of members at month t is
[tex]M(t)=N(1+r)^t[/tex]
where,
N is the initial number of members.
r is the rate of increase.
t is number of months
Here, N is constant. So, option A is incorrect.
N is initial value and (1+r) is growth factor. So, option B is incorrect.
The given function is an exponential function.
The value of M is a product of N and a factor that does not depend on N.
Therefore, the correct option is D.
A box that has a width of 5 inches and a length of 12 inches is used to ship a part. The part lies along the diagonal of the bottom of the box. What is the longest possible length of the part?
Answers
Answer:
13 inches
Step-by-step explanation:
Draw a square and draw a diagonal line through it. It creates a right triangle. So we can then use the Pythagoras theorem to find the length of the object at it's max. so we do a^2+b^2=c^2. So we do (12*12) + (5*5) = 169 and the square root of 169 is 13.
What is the slope of the line that passes through the points (–20, 18) and (30, 14)?
Answers
Explanation:
Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.
m = (y2 - y1)/(x2 - x1)
m = (14 - 18)/(30 - (-20))
m = (14 - 18)/(30 + 20)
m = -4/50
m = -2/25
Answer:
[tex]-\frac{2}{25}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (–20, 18) and (30, 14).
[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]
The slope is -2/25.
Brainilest Appreciated.
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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? Question
Using the scenario and your equation from part A, find the number of shots each player attempted,
Type the correct answer in each box. Use numerals instead of words,
Jared attempted
shots,
Zach attempted
shots,
Answers
Answer:
Jared attempted 60 shots.
Zach attempted 70 shots.
Step-by-step explanation:
what is the line of symmetry for the parabola whose equation is y=-x^2-x+2
Answers
Answer:
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to express this parabola using this kind of expression
[tex]y=a(x-b)^2+c[/tex]
and then, the line of symmetry will be the line x = b
Let's do it !
[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]
So the line of symmetry is
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally in the container.
Answers
Answer:
32 ounces
Step-by-step explanation:
18+14=32
32 is the total
Answer:
32 ounces
Step-by-step explanation:
She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32
Hope this helps and pls mark as brainliest : )
please help! sketch :y = 3x − 2 on a graph
Answers
Answer:
The graph of the equation y=3x-2 is shown in the picture below!!
Step-by-step explanation:
I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!
PRE algebra !!! PLEASE HELP! Ruth plays on the school basketball team. The table shows the team's results and Ruth's results for each game. What is the experimental probability that Ruth will score 9 or more points in the next game? Express your answer as a fraction in simplest form. 1/7 7/6 6/7 7/1
Answers
Answer:
6/7
Step-by-step explanation:
Ruth has played 7 games. She has scored 9 or more points in 6 of them. That means she has a 6/7 probability of doing so again.
Answer:
6/7
Step-by-step explanation:
Expression Name Expression E 3.8 + 0 F 0 + 0.5 G –8 + 0 H 9 ÷ 0 The table above shows four numeric expressions. Which expression is an integer when it's evaluated? Question 2 options: A) H B) E C) F D) G
Answers
Answer:
D) G
Step-by-step explanation:
E evaluates to 3.8 +0 = 3.8 . . . not an integer
F evaluates to 0 +0.5 = 0.5 . . . not an integer
G evaluates to -8 +0 = -8 . . . an integer
H evaluates to 9/0 = undefined . . . not an integer
__
Expression G evaluates to an integer.
fill in the blank with <,>,or,= to make the statement true -1 1/2 _ -1/4
Answers
Answer:
<
Step-by-step explanation:
Since it is a negative value, whatever fraction is closer to 0 will be greater.
The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given
that m angle DCE= 60°. Find an exact answer in terms of pie
Answers
Answer:
[tex]area = \frac{8}{3}pie ft^2[/tex]
Step-by-step explanation:
Area of sector is given as θ/360*πr²
Where,
θ = central angel of sector, m < DCE = 60°
r = radius = 4 feet
Area of sector = [tex] \frac{60}{360}*pie*4^2[/tex]
[tex] area = \frac{1}{6}*pie*16[/tex]
[tex] area = \frac{1*16}{6}*pie[/tex]
[tex] area = \frac{16}{6}*pie[/tex]
[tex]area = \frac{8}{3}pie ft^2[/tex]
Area of the sector = 8/3π ft²
The displacement vector r=2i-j+3k is aligned to the same direction as the force (F) whose magnitude is F =20N Determine the comple description of the force F
Answers
Answer:
Step-by-step explanation:
Displacement vector R = 2i + j + 3k
Unit vector along displacement vector
= R / I R I
= ( 2i + j + 3k ) / √ ( 2² + 1² + 3² )
= ( 2i + j + 3k ) / √ 14
Now force F acts in the direction of this unit vector . It is magnitude of 20 N
So this vector can be represented by the following expression
F = 20 [ ( 2i + j + 3k ) / √ 14 ]
[tex]F= \frac{20}{\sqrt{14} } \times ( 2i+j+3k)[/tex]
Find the variation constant and an equation of variation where y varies directly as x and y=16 when x=2
Answers
Answer:
variation constant = k = 8
equation of variation : y = 8x
Step-by-step explanation:
Any relationship of variation can be written as y = kx
where k is the variation constant.
_______________________________________
Let the equationof relation between y and x be y =kx here as well
given
y = 16 when x = 2
substituting this value in the equation y = kx
16 = k*2
=> k = 16/2 = 8
Thus,
variation constant = k = 8
equation of variation : y = 8x
In lowa, the Hoosiers basketball team won half of its first twelve games. There are a total of
24 games in the season. In order to make it to the playoffs, the Hoosiers need to win three
fourths of their remaining games. If the team is able to win exactly three fourths of their
games, how many total games will they have won at the end of their 24-game season before
the playoffs begin?
Answers
Answer:
18
Step-by-step explanation:
3/4 of 24 is 18
Use the diagram to answer the question. Triangle A B C. Segment B C measures 13. Segment A C measures 15. Angle B is a right angle. What is the measure of ∠A?
Answers
Answer:
angle A= 59.997
Step-by-step explanation:
SinA=13/15
sinA=0.866
A=inverse sin (0.866)
A=59.997
IS MY ANSWER CORRECT IS IT A? Please help!!!
Answers
Answer:
Below
Step-by-step explanation:
● 2-a > -12+4
●2-a > -8
Substract 2 from both sides
● 2-a-2 > -8-2
● -a > -10
Multiply both sides by -1 and switch the sign
● a < 10
So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .
Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2
hope this helps!
Find the measure of d.
Answers
Answer:
50°
Step-by-step explanation:
Recall that an inscribed angle is half the arc length. Since Angle A measures 50°, this means that the arc length of BC (the intercepted arc) is 100°.
Arc BC is also representative of Angle D. In other words, the measure of angle D is half of 100°.
Angle D = 50°.
Answer:
d = 50°
Step-by-step explanation:
Inside a circle we can have inscribed angles (angles with the three points on the circle). These angles are half the length of the arc they inscribe.
The arc BC is inscribed by the angle of 50°, so we have:
[tex]50 = mBC/2[/tex]
[tex]mBC = 100\°[/tex]
The angle d inscribes the arc BC, so we have:
[tex]d = mBC/2[/tex]
[tex]d = 100/2[/tex]
[tex]d = 50\°[/tex]
Find the area of the shape shown below.
Answers
Answer:
24 x 8 ÷ 2
Step-by-step explanation:
Because need to use the straight line to find the area and divide by 2 because it is half of square
Answer:
108 cm²
Step-by-step explanation:
Area of trapezium = 1/2(a+b)h
1/2(1+8) x 24=
4.5 x 24 =
108 cm²
I hope this helped!!
Write them in a standard form.
Answers
The equation turns into:
400+70+6+0.6+0.03+0.07
which equals:
476.637
The second equation becomes 4+ 68/1000, which becomes 4.068.
Hope this helps!
30 points high school geometry question.
Answers
Answer:
2.7
Step-by-step explanation:
2.5/5.8 = BD/6.2
BD = 2.7
Answer: 2.7
Step-by-step explanation: 2.5/5.8 = BD/6.2
BD = 2.7
this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.
Answers
Answer:
[tex]\frac{n}{4}-1[/tex]
Step-by-step explanation:
If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.
Now, Harris is one of those friends so he receives [tex]\frac{n}{4}[/tex] slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].
Hope this helped!
Answer:
(n/4 - 1) slices
Step-by-step explanation:
The pizza would be divided into n slices, which in turn would be split among 4 people:
n slices
----------------- = (n/4) slices per person
4 people
Harris must have eaten (n/4 - 1) slices.
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answers
Answer:
210.8 (mean for Luis), 241.5 (mean for Darcy)
Step-by-step explanation:
Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108
2108/10 = 210.8 (mean for Luis)
Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415
2415/10 = 241.5 (mean for Darcy)
Answer:
it is 210.8
Step-by-step explanation: