Random means in this context is that in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
What is conditional probability?
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, Rolling a fair six-sided die is supposed to randomly generate the numbers 1 through 6.
In a fair dice the chance of getting each number is same
Random means here is that in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
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GameStop sold 120 copies of Call of Duty. This was 30% of their supply. How
many copies of Call of Duty did they have before the store opened? *
Answer:
415 Call of Duty
Step-by-step explanation:
120*3=360 which is 90%
120/2=60
360+60=420
420=105%
In the figure below, ray KM is the angle bisector of ZLKJ. If MZLKJ = 82",
what is MZMKJ?
Answer:
41º
Step-by-step explanation:
An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.
Question 7: e math instruction, can u guys help me?
Tell whether the relationship shown in the mapping diagram is a function or not.
Answer:
It is a function
Step-by-step explanation:
The x-values do not repeat so it is a function.
You are being asked to create a new design and propose this to sm prime holdings. the following are needed in your proposal: 1. the total number of seats in the coliseum must be between 18 000 and 22 500. one ring of the seats all the way around the court at the center is considered a row and row 1 is the row closest to the court. 2. the number of seats in each row must form an arithmetic sequence , increasing by the same number in each subsequent row. 3. your task is to decide on the total number of seats in the coliseum by designing a seating arrangement that has reasonable number of rows by determining ; a. the number of seats in the first row. b. the number of rows required. c. the number of seats by which each row increase. d. the number of seats in the last row. e. the total number of seats in the arena. >how many seats are they in the first row? >how many seats increased in each rows? >how many seats in the last row? >how many seats are they in the arena?
Using the properties of arithmetic sequence , we calculate
a) 100 seats in the first row (b) 40 rows are required (c) 22 more seats in each row (d) 958 seats in the last row.
The overlap of any two doubly infinite arithmetic progressions seems to be either empty or another arithmetic progression, according to the Chinese remainder theorem.
If every pair of advancements in a family of twice infinite arithmetic progressions has a non-empty intersection, then there is a number that connects all of the pairs; consequently, an infinite arithmetic progression is a member of the Helly family.
However, rather than being an unending progression in and of itself, the intersection of an infinite number of infinite arithmetic progressions might be a particular number.
We know that the AP has the total number of seats between 18 000 and 22 500.
So if we take first term as 100 common difference as 22 and 40 rows we get :
sum = \(\frac{40}{2} [2\times 100+(40-1)22] = 21160\)
Therefore the number of seats in the arena matches the required description.
and the last row will have 100+(39)22 = 968 seats.
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Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and shifting left by 2 units?
Answer:
g(x) = –log2(x + 2)
Step-by-step explanation:
got it right on the assignment
The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = log 2x
The function is reflected over the x-axis, then the function will be
h(x) = - log 2x
And shifting left by 2 units, then replace x with (x + 2). Then the equation will be
g(x) = - log 2(x + 2)
g(x) = - log 2x + 4
The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.
The graph is given below.
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John is 5 feet 9 inches tall, which is 4.6 inches taller than Kara. How tall is Kara?
Answer:
5 feet 4.4 inches tall
Step-by-step explanation:
Isaiah and Cooper work at a dry cleaners ironing shirts. Isaiah can iron 25 shirts per hour, and Cooper can iron 30 shirts per hour. Cooper worked twice as many hours as Isaiah and they ironed 340 shirts between them. Write a system of equations that could be used to determine the number of hours Isaiah worked and the number of hours Cooper worked. Define the variables that you use to write the system.
Answer:
See Explanation
Step-by-step explanation:
\(25x + 30y = 340\\y = 2x\\\)
x=number of hours Isaiah worked.
y=number of hours Cooper worked
20) a rescarcher wishes to estimate the number of households with two cars. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 5%? a previous study indicates that the proportion of households with d). 264 two cars is 22%. a) 4 c) 186 b) 339
In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.
To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.
Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.
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A steel bar has a mass of 800 kilograms and a volume of 0.1 cubic meters. Calculate its
density.
Write your answer as a whole number.
kilograms per cubic meter
Answer:
The answer is 8,000 k/cm³
(1 point) a rectangular swimming pool is 8 ft deep, 20 ft wide and 20 ft long. if the pool is filled to 1 ft below the top, how much work is required to pump all the water into a drain at the top edge of the pool? (use 62.4 lb/ft2 for the weight density of water.)
This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.
What is amount?Amount is a numerical value that refers to the total sum of money or other type of payment due. It is used to quantify the size of a transaction, the cost of goods or services, or any other type of financial transaction. Amounts can be expressed in a variety of different currencies, and they can be negative (owing) or positive (owed).
To calculate the amount of work required to pump all the water from the rectangular swimming pool into a drain at the top edge, we must first calculate the volume of the water in the pool. Volume is calculated by multiplying the length, width, and depth of the pool, which in this case is 20 ft x 20 ft x 8 ft = 3,200 cubic ft. Since the pool is filled to 1 ft below the top, the volume of water is 3,200 ft3 - 20 ft3 = 3,180 ft3.
Next, we must calculate the weight of the water, which is the volume multiplied by the weight density of water (62.4 lb/ft3). The weight of the water in the pool is 3,180 ft3 x 62.4 lb/ft3 = 197,952 lbs.
Finally, to calculate the amount of work required to pump the water from the pool into a drain at the top edge, we must multiply the weight of the water (197,952 lbs) by the height of the drain (8 ft). This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.
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refer to the market for good x. p0=$15, pa=$21, p*=$31, pb=$44, p1=$57, q0=10, q*=30, q1=50, and q2=70. what is the quantity demanded when the price is $44?
At a price of $44, the quantity demanded is equal to q*, which is 30 units.
The market for good X is given with a price of $15 at q0 (10 units), a price of $21 at pa, a price of $31 at p* (30 units), a price of $44 at pb, a price of $57 at p1 (50 units), and a price of $70 at q2 (70 units). To calculate the quantity demanded when the price is $44, we first need to identify the price points on either side of $44. In this case, $31 and $57 are the two price points. We then look at the corresponding quantities at those two points, which are q* (30 units) and q1 (50 units). Since the demand curve is downward sloping, the quantity demanded at $44 (pb) will be between 30 and 50 units. Since 30 is the lower number, the quantity demanded at $44 will be q*, or 30 units.
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for sin 2 x cos x = 0 , sin2x cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation in the interval [ 0 , 2 π ) . [0,2π).
The solutions of the given equation in the interval [0, 2π) are: x = 0, x = π/2, x = π, x = 3π/2
solve the equation sin(2x)cos(x) = 0 in the interval [0, 2π).
First, we'll use the double-angle formula to simplify the equation. The double-angle formula for sine is:
sin(2x) = 2sin(x)cos(x)
Now, substitute this into the given equation:
2sin(x)cos(x)cos(x) = 0
This simplifies to:
2sin(x)cos^2(x) = 0
Now, we can solve the equation by setting each factor equal to zero:
1) sin(x) = 0
2) cos^2(x) = 0 or cos(x) = 0
For the first case (sin(x) = 0), the solutions within the interval [0, 2π) are:
x = 0, x = π
For the second case (cos(x) = 0), the solutions within the interval [0, 2π) are:
x = π/2, x = 3π/2
So, the solutions of the given equation in the interval [0, 2π) are:
x = 0, x = π/2, x = π, x = 3π/2
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PLEASE HELP WILL GIVE BRAINLIEST AND 25 POINTS!!!
A model rocket is launched upward at a speed of 96 feet per second from a platform 7 feet above the ground. The path of the rocket can be modeled by the projectile equation, h(t)=-16t^2+v₀t+h₀
1. What is the maximum height the rocket will reach?
2. What is the average rate of change from the initial height to the maximum height?
Answer:
151 ft
48 ft/s
Step-by-step explanation:
h(t)=-16t^2+v₀t+h₀
v₀ = 96 and
h₀ = 7
h(t)=-16t^2+96t+7
The maximum height is at the vertex
The x values of the vertex is at
x = -b/2a = -96/ (2*-16) = -96/-32 =3
Substitute this into the function to find the maximum height
h(3) = -16 ( 3)^2 +96*3+7
-16*9 +288+7
151
The maximum height is 151 ft
Average rate of change from 0 to 3
h(3) - h(0)
---------------
3-0
151 -7
------------
3
144/3
48ft/s
What is the parent function of y = 2(x - 1)2 + 4?
Answer:
y = x - 1
Step-by-step explanation:
y = x - 1 is the parent function of y = 2(x - 1)2 + 4 before it was moved 4 units, stretched by 2, etc.
This may not be correct, if the problem you asked was formatted wrong, please let me know :)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Which system of equations represents this situation?
Answer:
I'm sorry but I don't see any equations
Step-by-step explanation:
Help please! No silly answers. Correct answers please, thank you.
A linear function has one independent variable and one dependent variable..
therefore, all are linear except y=x²-6
please help !! Use Pythagorean theorem :) and show your work if you can thanks :”) will give b
Answer:
\(b=\sqrt{1575}\) ≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:
\(a^{2}+ b^{2}= c^{2}\)
(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.
\(45^{2}+ b^{2}= 60^{2}\)
\(2025+b^{2} =3600\)
To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:
\(b^{2} =1575\)
\(b=\sqrt{1575}\) ≈ 39.7ft
In Mr. Henry’s math classroom, there are 15 girls and a total of 26 students.Write the ratio of boys to girls in the form a:b. Show your work or explain your reasoning
Answer:
well if theres 26 in all and 15 girls then there is 11 boys so the answer is
11:15
brainliest please
Step-by-step explanation:
Answer:
11:15
Step-by-step explanation:
First let us find the number of boys in the classroom:
26 total students - 15 girls = 11 boys
Now, we can write the ration:
11 (boys): 15(girls)
So, 11:15
I hope this helps! :)
Consider the series
x t
=sin(2πUt), t=1,2,…
, where
U
has a uniform distribution on the interval
(0,1)
. (a) Prove
x t
is weakly stationary. (b) Prove
x t
is not strictly stationary. [Hint: consider the joint bivariate cdf (1.18) at the points
t=1,s=2
with
h=1
, and find values of
c t
,c s
where strict stationarity does not hold.]
a) The autocovariance of xt depends only on the time difference h, and not on the specific time t and xt is weakly stationary
b) The joint distribution of xt depends on the specific time t, and xt is not strictly stationary.
a) To prove that xt is weakly stationary, we need to show that its mean and autocovariance are both independent of time.
First, let's calculate the mean of xt:
E(xt) = E(sin(2πUt))
Since U has a uniform distribution on (0,1), we know that E(U) = 1/2. Therefore,
E(xt) = E(sin(2πUt)) = sin(2πE(Ut)) = sin(πt) = 0
So the mean of xt is zero, which is independent of time.
Now let's calculate the autocovariance of xt:
Cov(xt, xt+h) = E[(sin(2πUt) - 0)(sin(2πU(t+h)) - 0)]
= E[sin(2πUt)sin(2πU(t+h))]
We can use the identity sin(a)sin(b) = (1/2)(cos(a-b) - cos(a+b)) to expand this expression:
Cov(xt, xt+h) = (1/2)E[cos(2πhU) - cos(2π(t+h)U) - cos(2πtU) + cos(2πhU)]
Since E(cos(2πhU)) = E(cos(2π(t+h)U)) = E(cos(2πtU)) = 0 (due to the symmetry of the cosine function over [0,1]), we have:
Cov(xt, xt+h) = (1/2)E[cos(2πhU) + cos(2πhU)]
= E[cos(2πhU)]
Using the identity E[cos(2πhU)] = cos(2πhE[U]) = cos(πh), we get:
Cov(xt, xt+h) = cos(πh)
Therefore, the autocovariance of xt depends only on the time difference h, and not on the specific time t. Thus, xt is weakly stationary.
b) To prove that xt is not strictly stationary, we need to find at least one time shift for which the joint distribution of the series is different from the original joint distribution.
Consider the joint distribution of x1 and x2:
P(x1 = sin(2πU), x2 = sin(2πU(2))) = P(U=u)P(U=2u) = 0
since U has a continuous uniform distribution.
However, if we shift the time by 1 unit, the joint distribution of x2 and x3 becomes:
P(x2 = sin(2πU(2)), x3 = sin(2πU(3))) = P(U=2u)P(U=3u) ≠ 0
since U has a continuous distribution.
Therefore, the joint distribution of xt depends on the specific time t, and xt is not strictly stationary.
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There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
Answer:
1000 times greater.
Step-by-step explanation:
10^9 / 10*6
= 10^(9-6)
= 10^3
= 1000.
Answer:
just took the test answer is C
Step-by-step explanation:
Jordan has some music books. He will buy 9 new music books each year. He will have 52 music books in 5 years. Rate of change per year = ____ Initial value = _____
A result is called "statistically significant" whenever. O The null hypothesis is true. O The significant level a = 0.05. O The p-value Greaterthanorequalto 0.05. O The p-value is less than the significant level.
A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.
This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.
The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.
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A tennis ball is bounced on a floor and makes an angle of 49º. It bounces off the floor at the same
angle. What is the angle x that the tennis ball makes with itself when it bounces?
х
49°
None of the other answers are correct
82°
0989
O 262°
O 131°
Answer:
Try 41 degrees
Step-by-step explanation:
Because the ball bounced on the floor so that means it would have created a 90 degree area, then is bounced 49, so 49+x=90
x=41 degrees
PLS HELP I WILL GIVE BRAINLESTTT
1. -g + 2(3+g) = -4(g+1)
2. 0.6(4-2x)=20.5-(3x+10)
3. 1/2(-4+6n) = 1/3n+2/3(n+9)
4. 1/5(5x-5) + 3x=-9 (1/3x + 4)
The given values are given below:
g = -2.x = 6.72.n = 12.x = -11/7.How to solveDistribute and combine like terms: -g + 6 + 2g = -4g - 4.
Then, simplify g = -4g - 10.
Finally, solve for g: g = -2.
To solve this, we have to distribute and combine like terms: 2.4 - 1.2x = 20.5 - 3x - 10.
Simplify 1.8x = 12.1.
Solve for x: x = 6.72.
Distribute and simplify: -2 + 3n = n/3 + 2n/3 + 6.
Combine like terms: 2n/3 = 8.
Solve for n: n = 12.
Finally, to get the answer, the next step would be to distribute and simplify: x - 1 + 3x = -3x - 12.
Combine like terms: 7x = -11. Solve for x: x = -11/7.
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an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
a line ray or segment that divides a segment into two congruent parts at a 90° angle
A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.
What are supplementary angles example?
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.
What do you mean by angle bisector?
If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.
The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.
Thus, the black space is to be filled by the angle bisector.
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Which set of rational numbers are orcdered trom least to greatest? plzz need help
Answer:
The first one
Step-by-step explanation:
Answer:
A the first option
Step-by-step explanation:
negative is the least 1 5/6 is greatest
During a space shuttle launch, a maneuver is scheduled to begin at T minus 80
seconds, which is 80 seconds before liftoff. The maneuver lasts 1 1/2 minutes. At
what time will the maneuver be complete?
Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.
What is the order of rotation?The amount of rotations a shape can undergo around its center before returning to its initial position is referred to as the order of rotation in mathematics and geometry. It is also referred to as a shape's circular symmetry. A circle, for instance, has an order of rotation of infinite because it can be rotated indefinitely around its center without changing how it appears. A cube has an order of rotation of four because it will remain the same in shape whether it is rotated 90, 180, 270, or 360 degrees around its center.
given
At T minus 80 seconds, or 80 seconds prior to liftoff, the move is slated to start.
We must multiply the duration of the maneuver by the beginning time to determine the time at which it will be finished.
The move is estimated to take 1 and a half minutes. Since there are 60 seconds in a minute, we can change this to seconds by multiplying it by 60:
1 and a half minutes is equal to 1.5 minutes, 1.5 minutes multiplied by 60 seconds is equal to 90 seconds.
The move lasts 90 seconds as a result.
We multiply the duration of the move (90 seconds) by the start time (T minus 80 seconds) to determine the time at which the maneuver will be finished:
The move will be finished in T minus 80 seconds plus 90 seconds.
By adding the integers, we can make this simpler:
When the move is finished, the time will be T minus 80 seconds + 90 seconds + T plus 10 seconds.
Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.
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Define the nonprobability sampling methods and give examples of each.
Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.
In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.