Answers
Answer:
I went through and graphed them all, and the graph for A matched perfectly :)
Step-by-step explanation:
Related Questions
A urn contains 90 marbles, of which there are 20 green, 20 black and 50 red marbles. Tom draw marbles without replacement until the 6th green marble. Let X = # of marbles drawn. Example : GGGBRBGGBRG with x = 11. a). Find the probability P(X = 20), 14 points) b). Find the expectation EX. [4 points c). Find the variance VarX.
Answers
a) The probability P(X = 20) is approximately 0.0068. b) The expectation EX is approximately 8.614. c) The variance VarX is approximately 5.085.
To calculate the probability, expectation, and variance for the given scenario, let's break down each part:
a) Probability P(X = 20):
In order to have X = 20, we need to draw 5 green marbles followed by the 6th green marble.
The probability of drawing a green marble on each draw is given by the ratio of the number of green marbles remaining to the total number of marbles remaining.
The probability of drawing the first green marble is 20/90.
The probability of drawing the second green marble is 19/89.
And so on, until the probability of drawing the fifth green marble is 16/86.
Finally, the probability of drawing the 6th green marble is 15/85.
To find the probability of all these events occurring, we multiply these probabilities together:
P(X = 20) = (20/90) * (19/89) * (18/88) * (17/87) * (16/86) * (15/85) ≈ 0.0068
b) Expectation EX:
The expectation of a random variable X is calculated by multiplying each possible value of X by its corresponding probability and summing them up.
In this case, we need to calculate the expectation of X, given that it represents the number of marbles drawn until the 6th green marble.
EX = (1 * P(X = 1)) + (2 * P(X = 2)) + ... + (20 * P(X = 20))
We can use the probabilities calculated in part (a) to compute the expectation.
EX = (1 * P(X = 1)) + (2 * P(X = 2)) + ... + (20 * P(X = 20)) ≈ 8.614
c) Variance VarX:
The variance of a random variable X is calculated by taking the sum of the squared differences between each possible value of X and the expectation EX, weighted by their corresponding probabilities.
VarX = \((1 - EX)^2\) * P(X = 1) + \((2 - EX)^2\) * P(X = 2) + ... + \((20 - EX)^2\) * P(X = 20)
Using the calculated expectation EX and probabilities from part (a), we can compute the variance.
VarX = \((1 - EX)^2\) * P(X = 1) + \((2 - EX)^2\) * P(X = 2) + ... + \((20 - EX)^2\) * P(X = 20) ≈ 5.085
Therefore:
a) P(X = 20) ≈ 0.0068
b) EX ≈ 8.614
c) VarX ≈ 5.085
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Haven baskets manufacturers 83,575 woven baskets a year. determine the minimum sales price Haven baskets must sell each basket for to break even, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.
$21.95
$24.50
$29.65
$31.25
Answers
Answer:
Step-by-step explanation:
Givens
Number of baskets sold = 83575
sale price of each = x
Fixed Cost of producing these baskets = 817363.50
Variable cost whis is part of the production of each basket = 12.17
Break Even means the costs = income.
Equation
83575*x = 12.17*83575 + 817363.50 Combine the multiplied facts
Solution
83575x = 1017107.75 + 817363.50 Combine addition on right
83575x = 1834471.25 Divide by 83575
x = 1834471.25/83575
Answer: x = 21.95
It costs £8 to go on a bowling trip.
A year group of 78 students go on
the trip.
How much do they pay in total?
Answers
Answer:
£624
Step-by-step explanation:
£ (78 * 8)
= £624
Hope this helped!
A snack bar cooks and sells hamburgers and hot dogs during football games. To stay in business, it must sell at
least 10 hamburgers but can not cook more than 40. It must also sell at least 30 hot dogs, but can not cook more
than 70. The snack bar can not cook more than 90 items total. The profit on a hamburger is 33 cents, and the
profit on a hot dog is 21 cents. Low many of each item should it sell to make the maximum profit?
Answers
Explanation:
The slope of a line is -2. Identify the slope that is perpendicular to it.
a.)-2
b.) 2
c.) ½
d.) -1/2
Answers
30,000 times 8 thank you for answering.
Answers
Answer:
240,000
Step-by-step explanation:
have a nice day
What is the distance apart (-6, -4.7) and (-6, 4.1)
Answers
Answer:
8.8
Step-by-step explanation:
Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:
|4.1 -(-4.7)|
|4.1 + 4.7|
|8.8|
8.8
On 20 very cold days, a farmer got her tractor started on the first, third, fifth, first, second, third, first, fifth, seventh, second, third, ninth, fifth, third, fifth, second, fourth, second, second and sixth try. Assuming the data can be looked upon as a random sample from geometric population, estimate its parameter theta by the method of maximum likelihood.
Answers
In this problem, we are given a sample of 20 trials where the farmer tried to start her tractor on cold days, and we are assuming that the number of attempts required to start the tractor follows a geometric distribution. The probability mass function (PMF) of a geometric distribution with parameter theta is:
P(X = k) = (1-θ)^(k-1)θ
where X is the number of attempts required to start the tractor.
The likelihood function for the sample is given by taking the product of the PMFs for each trial:
L(θ) = ∏[P(Xi)] = ∏[(1-θ)^(Xi - 1)θ]
Taking the natural logarithm of both sides, we get:
ln(L(θ)) = Σ[ln(P(Xi))] = Σ[(Xi - 1)ln(1-θ) + ln(θ)]
Now, we differentiate ln(L(θ)) with respect to θ and set the result equal to zero to find the maximum likelihood estimate of theta:
d/dθ [ln(L(θ))] = Σ[(Xi - 1)/(1-θ) - 1/θ] = 0
Σ[(Xi - 1)/(1-θ)] = Σ[1/θ]
Σ[Xi - 1] = θΣ[1/(1-θ)]
Σ[Xi] - 20 = θ/(1-θ)
θ = (Σ[Xi] - 20)/(Σ[Xi] - 20 + 20)
Plugging in the values for the given data, we get:
θ = (1+3+5+1+2+3+1+5+7+2+3+9+5+3+5+2+4+2+2+6 - 20)/(1+3+5+1+2+3+1+5+7+2+3+9+5+3+5+2+4+2+2+6 - 20 + 20) = 0.375
Therefore, the maximum likelihood estimate of the parameter theta is 0.375.
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why does the man with the tattooing pen urge hannah not to forget the number on her arm in devil's arithmetic
Answers
The character Hannah is sent back in time to the Holocaust in Jane Yolen's book "The Devil's Arithmetic," where the Nazis tattoo a number on her arm.
The guy who tattooed Hannah's arm begs her not to forget the number because it serves as a powerful reminder of the significance of remembering and never forgetting the past and acts as a permanent reminder of the crimes done during the Holocaust. Hannah must remember the number since it is also a way of tracking and identifying people within the concentration camp.
Hannah is questioned about her name by the prisoner who is in charge of tattooing the ladies. That person is Chaya Abramowicz, she responds. She is wearing his daughter's outfit, he informs her. She had the same name, Chaya. He advises her to live for all the Chayas in the world and to never forget her prisoner number.
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2. I want to send out 25 Chitstmas cards so I will need 25 stamps. Each stamp cost $0.55; SO how much will I spend on stamps?
Answers
Answer:
$13.75
Step-by-step explanation:
please give thanks :)
Diane works at a hair salon and earn $150 after working 6 hours write an equation that describe her rate of pay then graph
Answers
Answer:
150 dived by 6=$25/hr
Step-by-step explanation:
i cant graph on here so srry
1. Five times x increased by three times y is ___________.
Answers
Hello!
Five times x increased by three times y is 5x + 3y
Write the quadratic equation whose roots are −3 and 6, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)
Answers
Expanding the equation gives us the final quadratic equation is 5x^2 - 15x - 30 = 0.
The quadratic equation with roots −3 and 6 can be written in the form:
(x - r1)(x - r2) = 0,
where r1 and r2 are the roots of the equation. Substituting the given roots, we have:
(x - (-3))(x - 6) = 0,
which simplifies to:
(x + 3)(x - 6) = 0.
To include the leading coefficient of 5, we can multiply both sides of the equation by 5:
5(x + 3)(x - 6) = 0.
Expanding the equation gives us the final quadratic equation:
5x^2 - 15x - 30 = 0.
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Graph the solution to this inequality on the number line.
−4m+3>11
Answers
Subtract numbers
-4m>11-3
Evaluate and subtract
-4m>8
Divide by -4
Solution
M<-2
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
Find the greatest common divisor of 6, 14, and 21, and write it in the form 6r 14s 21t, for appropriate r, s and t.
Answers
The greatest common divisor of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).
To find the greatest common divisor (GCD) of 6, 14, and 21 and write it in the form 6r 14s 21t, we can use the Euclidean algorithm.
Step 1: Find the GCD of 6 and 14.
- Divide 14 by 6: 14 ÷ 6 = 2 remainder 2
- Replace 14 with 6 and 6 with 2: Now we have 6 and 2.
- Divide 6 by 2: 6 ÷ 2 = 3 remainder 0
- Since the remainder is 0, the GCD of 6 and 14 is 2.
Step 2: Find the GCD of the result from step 1 (2) and 21.
- Divide 21 by 2: 21 ÷ 2 = 10 remainder 1
- Replace 21 with 2 and 2 with 1: Now we have 2 and 1.
- Divide 2 by 1: 2 ÷ 1 = 2 remainder 0
- Since the remainder is 0, the GCD of 2 and 21 is 1.
Therefore, the GCD of 6, 14, and 21 is 1. In the given form 6r 14s 21t, r would be 0, s would be 0, and t would be 1.
So, the GCD of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).
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Determine whether x or y show direct variation. If so, identity the constant of variation. y=3x+2
Answers
that’s the answer to the question
help me for brainlist if you dont explain no brainlist
Answers
- 2x and 70 are equal, because they are vertical angles.
- 110 and 3x + 5 are equal, becasue they are vertical angles.
- so, the answer would be A.
-- this is because vertical angles are not supplementary so would not be equal to 180°
For each value of θ , find the values of cos θ, sinθ , and tan θ . Round your answers to the nearest hundredth.5π/6
Answers
For the value θ = 5π/6, the values of cos θ, sin θ, and tan θ are approximately -0.87, 0.50, and -0.58 respectively.
To find the values, we can use the unit circle and the definitions of the trigonometric functions.
In the unit circle, θ = 5π/6 corresponds to a point on the unit circle in the third quadrant. The x-coordinate of this point gives us the value of cos θ, while the y-coordinate gives us the value of sin θ.
The x-coordinate at θ = 5π/6 is -√3/2, rounded to -0.87. Therefore, cos θ ≈ -0.87.
The y-coordinate at θ = 5π/6 is 1/2, rounded to 0.50. Therefore, sin θ ≈ 0.50.
To find the value of tan θ, we can use the identity tan θ = sin θ / cos θ. Substituting the values we obtained, we get tan θ ≈ (0.50) / (-0.87) ≈ -0.58.
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There are 1600 students in school. 47. 5% are male. How many are female
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}\)
67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
Answers
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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Qu
What is the slope of y = 52 – 1?
Answers
Answer:
Is it 0 ? im not sure
Step-by-step explanation:
Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
Answers
The correct representation is the number line where there is a closed circle at -3, and everything to the left of the circle is shaded.
The number line that shows the solution to the inequality "y - 2 < -5" is the one where there is a closed circle at -3, and everything to the left of the circle is shaded.
Here's the explanation:
The inequality states that "y - 2" is less than -5.
To represent this on a number line, we first identify the point where "y - 2" equals -5.
Solving the equation "y - 2 = -5" gives us y = -3.
On the number line, we place a closed circle at -3 to indicate that -3 is a valid solution.
Since the inequality is "less than," we shade everything to the left of the closed circle.
This includes all values less than -3 on the number line.
The other options presented have different variations that do not accurately represent the solution to the given inequality.
In option 1, the circle is open instead of closed, which means -3 is not included in the solution set.
In option 3, everything to the right of the open circle is shaded, which is the opposite of the intended solution.
Option 4 represents a different inequality entirely, as it shows a circle at -7 instead of -3.
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how is the following written with only one exponent?
a^3 . a^5
Answers
Answer:
The expression 103 is called the exponential expression. ... The exponent applies only to the number that it is next to. ... If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 ... From row 1 to row 2, the exponential form goes from 105 to 104. ... Following the pattern, you see that 100 is equal to 1.
Step-by-step explanation:
Which abyssal structure is more than 1,000 meters (3,280.84 feet) off of the ocean floor and has a flat top?
Answers
The structure that is more than 1,000 meters (3,280.84 feet) off of the ocean floor and has a flat top is called a seamount.
The abyssal structure that is more than 1,000 meters.Seamounts are underwater mountains or volcanoes that rise from the seafloor but do not reach the ocean's surface. They have a distinct conical shape with a flat or gently sloping top, often referred to as a summit. Seamounts are common features in the abyssal plain, and they can vary in size and shape.Therefore,the abyssal structure that is more than 1,000 meters (3,280.84 feet) off of the ocean floor and has a flat top is called a seamount.
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In a binomial situation, n=18 and π=0.60. Determine the expected
value
Answers
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
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1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it
Answers
Answer:
See Explanation
Step-by-step explanation:
1.
Given
\(y = 6x - 11\)
\(-2x - 3y = -7\)
Solve for x and y
In the first equation, we have: \(y = 6x - 11\)
Substitute \(6x - 11\) for \(y\) in the second
\(-2x - 3y = -7\)
\(-2x - 3(6x - 11) = -7\)
\(-2x - 18x + 33 = -7\)
\(-20x+ 33 = -7\)
\(-20x= -7-33\)
\(-20x= -40\)
Divide through by -1
\(20x = 40\)
\(x = 40/20\)
\(x = 2\)
Recall that:
\(y = 6x - 11\)
\(y = 6 * 2 - 11\)
\(y = 1\)
2,
Given
\(-3x - 3y = 3\)
\(y = -5x - 17\)
In the second equation, we have: \(y = -5x - 17\)
Substitute \(-5x - 17\) for \(y\) in the first equation
\(-3x - 3y = 3\)
\(-3x - 3(-5x - 17) = 3\)
\(-3x + 15x + 51 = 3\)
\(12x + 51 = 3\)
\(12x=3 - 51\)
\(12x=-48\)
\(x = -48/12\)
\(x = -4\)
Recall that: \(y = -5x - 17\)
\(y = -5 * -4 - 17\)
\(y = -3\)
3. Given
\(-4x + y = 6\)
\(-5x - y = 21\)
Add both equations to eliminate y
\(-4x - 5x + y - y = 6 + 21\)
\(-9x= 27\)
Solve for x
\(x = 27/-9\)
\(x = -3\)
Substitute -3 for x in the first equation: \(-4x + y = 6\)
\(-4 * -3 + y = 6\)
\(12 + y = 6\)
\(y = 6 - 12\)
\(y = -6\)
4. Given
\(-7x - 2y = -13\)
\(x - 2y = 11\)
Make x the subject in the second equation
\(x - 2y = 11\)
\(x = 11 + 2y\)
Substitute 11 + 2y for x in the first equation
\(-7x - 2y = -13\)
\(-7 (11 + 2y) - 2y = -13\)
\(-77 -14y - 2y = -13\)
\(-77 -16y = -13\)
\(-16y = -13 + 77\)
\(-16y = 64\)
\(y = 64/-16\)
\(y = -4\)
Substitute -4 for y in \(x = 11 + 2y\)
\(x = 11 + 2 * -4\)
\(x = 11 -8\)
\(x = 3\)
5. Given
\(-2x + 6y = 6\)
\(-7x + 8y = -5\)
Multiply the first equation by 7 and the second by - 2 to eliminate x
The first
\(7(-2x + 6y = 6)\)
\(-14x + 42y =42\)
The second
\(-2(-7x + 8y = -5)\)
\(14x - 16y = 10\)
Add the resulting equations
\(-14x + 42y =42\)
\(14x - 16y = 10\)
------------------------------
\(-14x + 14x + 42y - 16y = 42 + 10\)
\(42y - 16y = 42 + 10\)
\(26y = 52\)
Solve for y
\(y = 52/26\)
\(y = 2\)
Substitute 2 for y in \(-2x + 6y = 6\)
\(-2x + 6 * 2 = 6\)
\(-2x + 12 = 6\)
\(-2x = 6 -12\)
\(-2x = -6\)
Solve for x
\(x = -6/-2\)
\(x = 3\)
A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $552 with a standard deviation of $75. A random sample of 39 checking accounts is selected. What is the probability that the sample mean will be more than $542. 4?
Answers
The probability that the sample mean will be more than $542.4 is approximately 0.793 or 79.3%.
To solve this problem, we need to use the central limit theorem, which states that the sample mean of a sufficiently large sample (n ≥ 30) will be approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, the sample size is 39, which is greater than 30, so we can assume that the sample mean is normally distributed with a mean of $552 and a standard deviation of $75 / √39 ≈ $12.08.
To find the probability that the sample mean will be more than $542.4, we need to standardize the value using the standard normal distribution. We can calculate the z-score as:
z = (542.4 - 552) / 12.08 ≈ -0.819
Using a standard normal distribution table or a calculator, we can find the probability that a standard normal random variable is greater than -0.819 to be approximately 0.793.
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6. Encuentra las áreas de los rectángulos con las siguientes longitudes de lado. a. 5 pulgadas y pulgadas b. 5 pulgadas y pulgadas a. pulgadas y pulgadas b. 7 pulgadas y pulgadas
Answers
Area of Rectangles of the given values are 5/3inches², 20/3inches², 10/3inches² and 1 inches²
What is Area of Rectangle?
The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that can fit inside a rectangle called its area.
Since we know that,
Area of Rectangle = length x width
So, by the given values we can find the area of the following:
a) 5inch and 1/3inch
Let,
Length = 5inch
Width = 1/3inch
Since,
Area of Rectangle = length x width
= 5 x 1/3
= 5/3inches²
b) 5inch and 4/3 inch
Let,
Length = 5inch
Width = 4/3inch
Since,
Area of Rectangle = length x width
= 5 x 4/3
= 20/3inches²
c) 5/2inch and 4/3 inch
Let,
Length = 5/2inch
Width = 4/3inch
Since,
Area of Rectangle = length x width
= 5/2 x 4/3
= 5 x 2/3
= 10/3inches²
d) 7/6 inch and 6/7inch
Let,
Length = 7/6inch
Width = 6/7inch
Since,
Area of Rectangle = length x width
= 7/6 x 6/7
= 1 inches²
Hence, The following area of rectangles are 5/3inches², 20/3inches², 10/3inches² and 1 inches²
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A new bed costs $1,200. If the tax rate is 8.25%, how much will the bed cost including tax?
Answers
Answer:
1299
Step-by-step explanation:
To find the equivalent of the persentege in money u do
(8.25)/100 *1200
that is 99
than u simply do 1200+99=1299
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answers
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4