The shape parameter α is 12 and the rate parameter λ is sqrt(3) if the download time follows a gamma distribution.
If the download time follows a gamma distribution, its probability density function is given by:
\(f(x) = λ^(α) * x^(α-1) * e^(-λ*x) / Γ(α)\)
where λ is the rate parameter and α is the shape parameter, and Γ(α) is the gamma function.
The mean of a gamma distribution is given by α/λ, and the variance is given by α/λ^2.
We are given that the average download time is 12 minutes and the standard deviation is 2 minutes. Since the mean of a gamma distribution is α/λ, we have:
α/λ = 12
Also, since the variance of a gamma distribution is α/λ^2 and the standard deviation is the square root of the variance, we have:
sqrt(α/λ^2) = 2
Simplifying the second equation, we get: sqrt(α)/λ = 2
Squaring both sides, we get: α/λ^2 = 4
Multiplying both sides by λ, we get: α/λ = 4λ
Substituting this expression for α/λ in the first equation, we get: 4λ^2 = 12
Solving for λ, we get: λ = sqrt(3)
Substituting this value of λ in α/λ = 4λ, we get: α = 4λ^2 = 12
Therefore, the shape parameter α is 12 and the rate parameter λ is sqrt(3) if the download time follows a gamma distribution.
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Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the scale factor from Quadrilateral A to Quadrilateral B? (write your answer as a fraction) Find all the corresponding side lengths of quadrilateral B. The side length of 6 in A corresponds to a side length of 2 in B. The side length of 9 in A corresponds to a side length of in B. The side length of 9 in A corresponds to a side length of in B. The side length of 12 in A corresponds to a side length of in B. What is the perimeter of Quadrilateral B? The perimeter of Quadrilateral B is units.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3
Scale factor = 1/4= 1 / 3
The side length of 6 in A corresponds to a side length of 2 in B
Side length of B that corresponds with side length of 9 in A = scale factor * 9 = 1/3 * 9 = 3
The side length of 9 in A corresponds to a side length of 3 in B
Side length of B that corresponds with side length of 12 in A = scale factor * 9 = 1/3 * 12 = 4
The side length of 12 in A corresponds to a side length of 4 in B.
c) perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units
write an equation using the following numbers in the chart in point slope form
Answer:
A
Step-by-step explanation:
pls help me i dont get it
Answer:
30
Step-by-step explanation:
use the chart and the numbers on the side
for sixth grade over 600 there is about 10 and 5
seventh there is about 10 and 5 also
add them all up and get 30
2. Suppose A is a n x n matrix. Write a matlab code to find: (a) sum of diagonal elements (b) product of diagonal elements (c) Execute the sum and product when A= ones (5)
it displays the computed sum and product of the diagonal elements.
Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:
```matlab
% Define the matrix A
A = ones(5);
% Get the size of the matrix
[n, ~] = size(A);
% Initialize variables for sum and product
diagonal_sum = 0;
diagonal_product = 1;
% Calculate the sum and product of diagonal elements
for i = 1:n
diagonal_sum = diagonal_sum + A(i, i);
diagonal_product = diagonal_product * A(i, i);
end
% Display the results
disp("Sum of diagonal elements: " + diagonal_sum);
disp("Product of diagonal elements: " + diagonal_product);
```
Example execution for `A = ones(5)`:
```
Sum of diagonal elements: 5
Product of diagonal elements: 1
```
In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.
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Suppose that a classroom has 8 light bulbs. The probability that each individual light bulb works is 0. 8. Suppose that each light bulb works independently of the other light bulbs. What is the probability that all eight of the light bulbs work?.
0.1678 is the probability that all the light bulbs work
Define probability?
Probability is a branch of mathematics and can be defined as the one which deals with the explanation of the possibility of an event to occur or take place. Probability has a range between 0 to 1. In probability, 0 indicates the impossibility of an event to occur and 1 indicates the certainty of that event to occur or take place.
As the light bulbs are not dependent on each other and work independently, the probability that all eight of the light bulbs will work can be calculated by multiplying the probability of each of the eight light bulbs.
As the probability of each of the eight light bulbs to work = 0.8
probability all the eight light bulbs work = 0.8^8
probability all the eight light bulbs work = 0.1678
Hence, 0.1678 is the probability that all the light bulbs work.
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2. Quiz scores The scores on Ms. Martin's statistics
quiz had a mean of 12 and a standard deviation of
3. Ms. Martin wants to transform the scores to have
a mean of 75 and a standard deviation of 12. What
transformations should she apply to each test score?
Explain your answer.
Using the concepts and properties of mean and standard deviation, it is found that:
Each test score has to be multiplied by 4 and increased by 27.-------------------
The mean of a data-set is the sum of all values in the data-set divided by the number of values.If all values are increased by x, the mean will also be increased by x.If all values are multiplied by x, the mean will also be multiplied by x.The standard deviation of a data-set is the square root of the sum of the differences squared of each value and the mean, divided by the number of values.If all values are increased by x, the standard deviation remains constant.If all values are multiplied by x, the standard deviation is also multiplied by x.In this problem:
First, we multiply, to find the desired standard deviation, then we add, to find the desired mean.Standard deviation of 3 we want to be 12, thus, we multiply each test score by 4, as \(\frac{12}{3} = 4\).Multiplying by 4, the standard deviation will already be 12, but the mean will be 48.We want a mean of 75, thus, we have to increase each test score by 27, as 75 - 48 = 27.A similar problem is given at https://brainly.com/question/20640860
You want to perform a simulation to estimate the probability of getting at least one run of 3 heads in a row in 10 flips of a fair coin. Which of the following describes a correct simulation for estimating this probability?Assign the numbers 0 through 4 to "heads" and 5 through 9 to "tails." Read 10 one-digit numbers from a random digits table, and count this simulation as a "success" if there is at least one run of 3 or more heads. Repeat this 500 times and divide the total number of "successes" by 500.
The probability of getting at least one run of 3 heads in a row be
1021/1024.
Given, a simulation is performed to estimate the probability of getting at least one run of 3 heads in a row in 10 flips of a fair coin.
We have to find the probability of getting at least one run of 3 heads in a row.
Required Probability = 1 - P(X = 0) - P(X = 1) - P(X = 2)
P(X = 0) = P(X = 1) = P(X = 2) = (1/2)^10
Required Probability = 1 - (1/2)^10 - (1/2)^10 - (1/2)^10
Required Probability = 1 - 3/1024
So, the probability of the given event be,
1021/1024
Hence, the probability of getting at least one run of 3 heads in a row be
1021/1024.
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Please help me with this math problem!! Will give brainliest!! :)
Answer:
8
Step-by-step explanation:
When we have something like (g+f)(x), we have to take g(x) and f(x) and then add them up. Let's start by finding g(-2) and f(-2):
\(g(x)=5-x^2\\g(-2)=5-(-2)^2=5-4=1\\\\f(x)=-2x+3\\f(-2)=-2(-2)+3=4+3=7\)
Now, we just add them up to get our answer: 7 + 1 = 8
What is the simplest form of 2√3 / √6
√2
√√3
3√2
2√3
O
The simplest form \(\frac{2\sqrt{3} }{\sqrt{6} }\) is \(\sqrt{2}\)
Step-by-step solution:
\(=\frac{2\sqrt{3} }{\sqrt{6} }\)
\(=\frac{2\sqrt{3} }{\sqrt{2*3} }\) (write factors of \(\sqrt{6}\) i.e. \(\sqrt{2*3}\))
\(=\frac{2\sqrt{3} }{\sqrt{2}\sqrt{3} }\)
\(=\frac{2\ }{\sqrt{2}\ }\)
\(=\frac{2\ }{\sqrt{2}\ } * \frac{\sqrt{2} }{\sqrt{2} }\) (Rationalize it by \(\sqrt{2}\))
\(=\frac{2\sqrt{2} }{2}\)
\(=\sqrt{2}\)
Therefore, the correct solution to this question is \(\sqrt{2}\)
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Can you please help me out with a question
We have to divide the shape into two
It will give us a Rectangle and a Trapezium
\(\begin{gathered} \text{Area of the shape }=\text{ area of Rectangle + area of Trapezium} \\ \text{Area of the shape = 50i}n^2\text{ }^{^{}}+34in^2 \\ Areaoftheshape=84in^2^{} \end{gathered}\)a quadrilateral with no piar of parallel sides
The quadrilateral with no pair of parallel sides is trapezium
Given data ,
A = a quadrilateral with no pair of parallel sides
This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.
In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
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A line has a y-intercept of 3 and a slope of -1 /8. What is its equation in slope-intercept form
Answer:
-1/8x+3
Step-by-step explanation:
Answer:
y = -1/8x+3
Step-by-step explanation
your slope intercept form should be written as y=mx+b
m = slope = -1/8
y intercept = b = 3
now just replace m and b with your values
y = -1/8x+3
The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtained in 1 Sq metre area, then find the area of field and quantity of flowers that can be grown.
Answer:
Area: 120m²
Flowers: 600kg
Step-by-step explanation:
we can use Heron's formula to solve for the area.
Heron's formula:
Area of triangle = \(\sqrt{ s(s-a)(s-b)(s-c)}\)
s = 1/2 (a+b+c)
s = 1/2 (10 +24+26)
s = 30
Area of triangle
\(=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}\)
Since every 1 m² of area can grow 5kg of flowers,
the yield of flowers will be:
120 x 5
=600kg
1) a child puts $1 into a piggy bank. one week later he puts $1.25. two weeks later he puts $1.50 in the bank and so on. how much money does he put in the bank on the 25th week?
omg save me and explain
Answer:kkkkkkk
Step-by-step explanation:
Suppose you have:
u = 2f + 14
f = 4x - 4x²
What is u in terms of x?
put the whole thing after f = in the first equation
so
x^2 means x squared
so
u = 2 (4x - 4x^2) + 14
so
u = 8x - 8x^2 + 14
Sue is two years older then Lily who is twice as old as Heather. if the total ages of all the girls is 27, how old is each girl?
Answer:
sue = 12
lily = 10
heather = 5
Step-by-step explanation:
'l' = lily's age
'h' = heather's age
sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'
l = 2h
2h+2 + 2h + h = 27
5h = 25
h = 5
l = 2(5) = 10
sue is 10+ 2, or 12
Simplify to a single power of 2:
2^8/2^5
Answer:
2^3
Step-by-step explanation:
Let's call the base number x, the first power a, and the second power b. For any number that follows the pattern:
x ^a/x^b
To simplify this, you just subtract a from b and make that number the new power of x.
x ^a/x^b = x^(a-b)
This will work with any equation following this example.
2 ^8/2^5
2 ^ (8-5) = 2^3
:)
What is 2x-3>7 solve for x
Answer:
x>5
Step-by-step explain
+3 to 7
divide 2 from ten
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
Please help me with this
Answer:
4 cm by 24 cm: Yes
6 cm by 22 cm: No
8 cm by 12 cm: Yes
24 cm by 8 cm: No
32 by 6 cm: No
Step-by-step explanation:
Step 1: Find the area of the triangle.
Area of triangle is (base multiplied by height) divided by two.\(\frac{16*12}{2}\) \(\frac{192}{2}\) \(96\)Step 2: Go through each dimensions of the rectangles.
4 x 24 = 96. 4 cm x 24 cm: Yes.6 x 22 = 132. 6 cm x 22 cm: No.8 x 12 = 96. 8 cm x 12 cm: Yes.24 x 8 = 192. 24 cm x 8 cm: No.32 x 6 = 192. 32 cm x 6 cm: No.-7 + - 20 please help me i really don't understand
Answer:
-27
Step-by-step explanation:
-7 + - 20
let's not forget that a + and a - is equal to a - therefore all the question really says is ...
-7-20
which is now easier to do and is equal to
= -27
Hope this helped you, have a good day bro cya)
7
6-
5.
4
3-
2
1-
A
C
1 2 3
= this and return
B
a
S
6
C
What is the area of triangle ABC?
O 3 square units
O 7 square units
O 11 square units
O 15 square units
The area of triangle ABC is 6 square units.
To find the area of triangle ABC, we need to know the lengths of its base and height.
Looking at the given diagram, we can see that the base of triangle ABC is the line segment AC, and the height is the vertical distance from point B to line AC.
From the diagram, it is clear that the base AC has a length of 3 units.
To determine the height, we need to find the perpendicular distance from point B to line AC.
By visually inspecting the diagram, we can observe that the height from point B to line AC is 4 units.
Now, we can use the formula for the area of a triangle, which is given by:
Area = (1/2) \(\times\) base \(\times\) height
Plugging in the values, we get:
Area = (1/2) \(\times\) 3 \(\times\) 4
= 6 square units
Therefore, the area of triangle ABC is 6 square units.
Based on the provided answer choices, none of the options match the calculated area of 6 square units.
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What is the image of (-10,6) after a dilation by a scale factor of centered at the
origin?
Answer:
jhdbjhzhjzhdfhkskuKJHFDhHKGHFgHLgfslhalghlhirfhhcguhdfgfhdycthguerStep-by-step explanation:
sample size and the confidence level width have a (n) __________ relationship.
Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.
When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.
The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.
A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.
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how many numbers consisting of 1,2, or 3 digits(without repitions)can be formed using the digits 1,2,3,4,5,6?
Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
1-digit numbers: There are 6 choices for the first digit.
2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).
3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).
Therefore, the total number of numbers that can be formed is:
1-digit numbers: 6
2-digit numbers: 6 x 5 = 30
3-digit numbers: 6 x 5 x 4 = 120
The total number of numbers is the sum of these:
6 + 30 + 120 = 156
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Does a reaction occur when aqueous solutions of chromium(II) bromide and aluminum acetate are combined? pes no If a reaction does occur, write the net ionic equation. Use the solubility rules provided
No, a reaction does not occur when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. To determine if a reaction occurs between chromium(II) bromide (CrBr2) and aluminum acetate (Al(CH3COO)3).
We need to consider the solubility rules and potential chemical reactions between the ions. According to the solubility rules, bromides (Br-) are generally soluble in water, and acetates (CH3COO-) are also soluble. Therefore, both chromium(II) bromide and aluminum acetate will dissociate into their respective ions when dissolved in water.
The ions present in chromium(II) bromides are Cr2+ and Br-. The ions present in aluminum acetate are Al3+ and CH3COO-. When these solutions are combined, there are no double replacement reactions or precipitation reactions that occur between the ions.
Since there is no reaction between the ions, we can conclude that no new compounds or products are formed. Hence, the answer is that no reaction occurs when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. As no net ionic equation is required in this case, the explanation above is sufficient to state that there is no reaction between chromium(II) bromide and aluminum acetate.
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helppppppppppppppppp
Answer:
C
Step-by-step explanation:
if a and b are directly proportional and b and c are directly proprtional, then how are a and c related
a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.
If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.
Mathematically, this can be written as
a = kb and b = mc, where k and m are constants of proportionality.
Multiplying these two equations gives: a = kbm
Substituting the value of b from the second equation in the first equation, we get: a = kmc
Therefore, a and c are also directly proportional to each other with a constant of proportionality km.
Thus, if a increases by a certain factor, c will also increase by the same factor.
If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.
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please help i dont understand
Answer:
\( \frac{ {y}^{2} }{4 {x}^{5} } \)
I neeeeeed hellpp ASAP
Answer:
It's the second one
Step-by-step explanation: