The probability of spinning the spinner two times and having it landing on an odd in the first spin and a number more than 2 on the second spin is 0.33.
Given a spinner which is divided in to 6 equal parts labeled 1 to 6.
Total outcomes possible = 6
Number of odd numbers = 3
Probability of getting an odd number = 3/6 = 1/2
Number of numbers which are more than 2 = 4
Probability of getting a number more than 2 = 4/6 = 2/3
Probability of getting an odd in the first spin and a number more than 2 on the second spin is,
P = 1/2 × 2/3 = 0.33
Hence the required probability is 0.33.
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Calculate Total Wage: Hours Worked 38; Rate $15.70
Some kids like to ride their bikes to and from school. Let d be the distance in miles from a kidʼs home to school. Write 2 expressions to represent how far a kid travels by bike in 4 weeks.
Answer:
x= amount of times that these kids ride their bikes to school in a week
D = total distance
w = weeks
Step-by-step explanation:
jim baked sugar cookies and peanut butter cookies he baked 8 sugar cookies and 3 times as many peanut butter cookies. what is the total number of cookies that jim baked?
Answer: 32 cookies
Step-by-step explanation:
8 times 3 is 24
24+8=32 cookies
please help due today
Answer:
9.407 [with the bar on top]
Step-by-step explanation:
The division results in 9.407407407407407 . . . . . . . . . . . . . . .
The continual repeat of 407 is represented by a 407 with a bar on top.
Leila is buying a dinosaur model the price of the model is x dollars and she also has to pay a 7%tax
The amount that Leila needs to pay after the tax is applied is:
P(x) = 1.07*x
How to find the cost when we apply the tax?We know that Leila buys a dinosaur model with a price of x dollars, and then we need to add a 7% tax.
Remember that an increase (like a tax) of X (a percentage) is written as:
A*(1 + X/100%)
Where A is the initial value.
Here the initial price is x, so the amount that Leila needs to pay is:
P(x) = x*(1 + 7%/100%)
P(x) = x*(1 + 0.07)
P(x) = 1.07*x
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i really really need help pls!!
1. The constant 1.2 is the rate of exponential change
2. The function is increasing exponentially
3. It is increasing at the rate of 20% every month.
What is an exponential function?Exponential functions follow a specific pattern: the output (the value of "f(x)") of the function grows or decays exponentially as the value of "x" changes. This indicates an accelerated growth or drop in the function's values.
Exponential functions are frequently used to simulate exponentially behaving growth or decay processes, including population expansion, compound interest, radioactive decay, and bacterial development.
1. The 1.2 is the constant from the bracket (1.2)
2. The positive exponent shows increase
3. The 20% is the rate of increase from the bracket (1.2)
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find x, then find each angle
Answer:
x=8
Step-by-step explanation:
23x=184
x=8
Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies. Each box of chocolate chip cookies has 36 cookies. Each box of sugar cookies has 84 cookies. Mia says she has about 1,800 cookies in all. Is her answer reasonable? Explain.
Yes, because (12 x 20) + (40 x 80) = 3,400
Yes, because (12 x 80) + (40 x 40) = 2,560
No, because (12 x 40) + (20 x 80) = 2,080
No, because (12 x 80) + (20 x 40) = 1,760
Answer:
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Step-by-step explanation:
Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Each box of chocolate chip cookies has 36 cookies.
Each box of sugar cookies has 84 cookies.
So, the total number of chocolate chips cookies will be = 12 * 36 ----(i)
And the total number of sugar cookies will be = 24 * 84 -----(ii)
As Mia says she has about 1,800 cookies in all.
So, we can write (i) and (ii) combined as,
(12*36) + (24*84) = 1800
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Explanation: No, her answer is not reasonable.
Step by Step solution:
According to the given information, Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Now, each box of chocolate chip cookies has 36 cookies which means she has (36 × 12) = 432 chocolate chip cookies in total, using the unitary method.
Also, each box of sugar cookies has 84 cookies which means she has (84 × 24) = 1008 sugar cookies in total, using the unitary method.
Mia will then have with her in total of [(36 × 12) + (84 × 24)] = 1440 cookies.
It is an incorrect fact that Mia says that she has about 1800 cookies in total.
Hence, Mia has 1440 cookies in total.
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What is the equation of this line?
y=−3x−4/3
y=4/3x−3
y=3/4x−3
y=−3x− 3/4
Answer:
y=4/3x-3
Step-by-step explanation:
+4x-(-3y)=1-1/3
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 5 ≤ x ≤9.
7
8
9
6
x
4
5
f(x)
4
8
16
32
64
medically explained PAINL X
128
Deltal/ath
The average rate of change, in simplest form, is -2/5.
What is average rate ?
Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.
The rate of change of the function is its gradient or slope.
The formula for calculating the gradient of a function is expressed as:
\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)
Using the coordinate points from the table (0,41) and (15,35)
Substitute the coordinate into the expression:
\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)
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What does λ mean in math?
λ (lambda) is a variable in mathematics used to represent an unknown quantity or a function. It is typically used in calculus and algebra to denote the slope of a function or to express rates of change.
In mathematics, the symbol λ (lambda) is often used to represent various concepts depending on the context. In calculus, it is often used as a parameter in functions, particularly in optimization problems, where it can represent a Lagrange multiplier or a scaling factor. In linear algebra, λ is often used to denote an eigenvalue, which is a scalar quantity associated with a square matrix that represents how a transformation changes a vector.
In statistics, λ is often used to represent the rate parameter in the Poisson distribution, which models the probability of a certain number of events occurring in a given time interval. The meaning of λ varies depending on the specific branch of mathematics in which it is being used.
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PLEASE ANSWER IN POINT SLOPE FORM
Answer:
y-4 =-5(x+1)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-4 = -5(x- -1)
y-4 =-5(x+1)
Answer:
y-4 = -5 (x- (-1))
Step-by-step explanation:
blank 1 = -4
blank 2 = -5
blank 3 = -1
It has been theorized that pedophilic disorder is related to irregular patterns of activity in the ____ or the frontal areas of the brain. a) cerebellum b) hippocampus c) amygdala d) prefrontal cortex
It has been theorized that pedophilic disorder is related to irregular patterns of activity in the prefrontal cortex or the frontal areas of the brain. Option D
What is the prefrontal cortex?The prefrontal cortex is an essential part of the brain that has a crucial function in managing executive functions, making logical choices, controlling impulses, and regulating social behavior.
A potential reason for deviant sexual desires and actions in people with pedophilic disorder could be attributed to a malfunctioning region or regions in the brain.
It is crucial to carry out more studies with the aim of identifying the exact neural elements and mechanisms involved, due to the incomplete comprehension of the neurobiological basis of the pedophilic disorder.
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which of the following types of businesses are likely to use units of time as their units of sale (select four answers)
1.yard care
2.shoe store
3.house
4.baking/painting
5.art gallery
6.massage
7.florist
8.dog walking
Answer:
house
Step-by-step explanation:
I think,look I am just a little kid I am a 10 year old kid in 5 th grade I am at school I am trying to cheat so sorry if it’s wrong
AABC is isosceles.
mZA = 3x + 40 and mZC = x + 50 mZA = [ ? ]°
Answer:
Using the information from the problem, the measurement of ∠A is 55°
Step-by-step explanation:
We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.
We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.
m∠A = 3x + 40
m∠C = x + 50
3x + 40 = x + 50
Subtract x on both sides of the equation.
2x + 40 = 50
Subtract 40 from both sides of the equation.
2x = 10
Divide 2 on both sides of the equation.
x = 5
So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.
x = 5
m∠A = 3(5) + 40
m∠A = 15 + 40
m∠A = 55
m∠C = (5) + 50
m∠C = 55
So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.
The measurement of ∠A is 55°
Simplify 6a + 5a - a - 5 + 2a712a-513a-512a
By arranging similar terms, we have
\(\begin{gathered} 6a+5a+2a-a-5 \\ \text{which gives} \\ 13a-a-5 \end{gathered}\)since 13a minus a is 12a, the answer is
\(12a-5\)which corresponds to option 2 from top to bottom
Help me please help please choose two answers
Answer:
Choice 1 and Choice 2
Answer:
1,2 hope this helps
Step-by-step explanation:
I just did this
A financial adviser recommends that a client deposit $1,500 into a fund that earns 9.5% annual interest compounded monthly. What is the interest rate per month? (Give an exact answer.) Find an exponential growth model for A, the value (in dollars) of the account after t years. A= What will be the value (in doilars) of the investment anter 5 years? Round to the nearest cent. 3.
The given financial data is: $1500 is deposited into a fund that earns 9.5% annual interest compounded monthly.
We need to find the interest rate per month.
\(The formula to calculate compound interest is given as:A = P (1 + r/n)^(nt),\)where P is the principal amount, r is the annual interest rate, t is the time the money is invested, n is the number of times that interest is compounded per year, and A is the amount of money accumulated after n years.
Here, the principal amount is $1500, the annual interest rate is 9.5%, the time period is 1 year, and n is 12 (since interest is compounded monthly).
\(So, the monthly interest rate is:r/n = (9.5/100)/12= 0.00791666667\)
\(The exponential growth model for A is given as:A = 1500(1 + 0.00791666667)^t\)
\(The value of an investment after 5 years: A = 1500(1 + 0.00791666667)^5= 1500(1.00791666667)^5\)= \(1500(1.043262781)= $1564.89 (approx)\)
Hence, the interest rate per month is 0.00791666667 and the value (in dollars) of the investment after 5 years is $1564.89 (approx).
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Anyone know this? Kind of struggling.
Answer:
It's -5 + 3 basicaly because 2 negatives is one positive. So the answer is -2.
Given triangle EFG, select the graph of image E 'F'G'and confirm that it preserves length and anglemeasures.(x,y) -(x-3, y + 1)
We have a transformation for the triangle EFG. In this case is a translation.
We can verify with one of the points which one of the graphs correspond to this transformation.
The transformation is:
(x,y) --> (x-3, y + 1)
We look at point E = (-0.5, 0).
We apply the transformation and get:
(-0.5, 0) --> (-0.5-3, 0+1) = (-3.5, 1)
Then, the graph that has E located in the point (-3.5, 1) is the right one.
assume that a sample is used to estimate a population proportion p. find the margin of error m.e. that corresponds to a sample of size 306 with 79.1% successes at a confidence level of 99.5%.m.e.
The margin of error for the statistical scenario described is 0.0599
To obtain the margin of error , we use the formula:
ME = z * √(p*(1-p)/n)p = 0.7911 - p = 0.209n = 306Zcrit at 99.5% confidence interval = 2.576Inserting the formula as follows:
ME = 2.576 * √(0.791 * (0.209)/306)
ME = 2.576 * 0.0232
ME = 0.0599
Therefore, the margin of error is 0.0599
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a pole with the height of 8 meters is casting a shadow on the ground. a person on the ground is standing at the end of the shadow looking at the top of the pole. the angle of elevation, 0, of the tip of the pole, as seen by the person, is such that tan0 = 4/5. what is the length of the shadow
Answer: 10 meters
Step-by-step explanation:
Let's call the length of the shadow "x". We can use the tangent function to relate the angle of elevation to the height of the pole and the length of the shadow:
tan θ = opposite/adjacent
where θ is the angle of elevation, opposite is the height of the pole, and adjacent is the length of the shadow.
In this case, we know that the angle of elevation is such that tan θ = 4/5 and the height of the pole is 8 meters. We want to find the length of the shadow, which we'll call "x".
tan θ = opposite/adjacent
tan θ = 4/5
opposite = 8 meters
adjacent = x meters
Plugging in the given values, we get:
4/5 = 8/x
Multiplying both sides by x, we get:
4x/5 = 8
Simplifying, we get:
x = 10
Therefore, the length of the shadow is 10 meters.
MAKE ME THE BRAINLIEST PLS IF I GOT IT RIGHT
The system of linear equations x – y + 2 = 0 and 2x + y -14 = 0
Answer:
(4, 6 )
Step-by-step explanation:
Given the equations
x - y + 2 = 0 ( subtract - y + 2 from both sides )
x = y - 2 → (1)
2x + y - 14 = 0 → (2)
Substitute x = y - 2 into (2)
2(y - 2) + y - 14 = 0 ← distribute and simplify left side
2y - 4 + y - 14 = 0
3y - 18 = 0 ( add 18 to both sides )
3y = 18 ( divide both sides by 3 )
y = 6
Substitute y = 6 into (1) for corresponding value of x
x = 6 - 2 = 4
solution is (4, 6 )
What is the answer?
The sequence of transformation that makes the shapes congruent is rotation then transformation
From the question, we have the following parameters that can be used in our computation:
The figures
From the figure, we have the shapes to have different orientation but same size
This means that one of the shapes is rotated to form the other
In this case, the rotation is a 90° clockwise
Followed by the rotation is a translation transformation
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Problem 3 (20 points) In this problem we aim at utilizing the kerenl trick in Ridge regression and propose its kernalized version. Recall the Ridge regression training objective function:
f(w)= ||Xw - y|| 2 ^ 2 + lambda||w|| 2 ^ 2
for lambda > 0
a) Show that for w to be a minimizer of f(w) we must have X^ top Xw + lambda*Iw =X^ top y where X in mathbb R ^ (nd) is the data matrix with n samples each with d features, and I is iden- tity matrix (please check lectures for more details). Show that the minimizer of f(w) is w=(X^ top X + lambda*I )^ -1 X^ top y. Justify that the matrix X^ top X + lambda*I is invertible, for lambda > 0 (Hint: use SVD decomposition of data matrix X= U*Sigma V^ top and show all the eigenvalues of X^ top X + lambda*I are larger than zero).
b) Rewrite X^ top Xw + lambda*Iw =X^ top u as w= 1/lambda (X^ top y-X^ top Xw) . Based on this, show that we can write w =X^ top alpha for some alpha in mathbb R ^ n , and give an expression for a.
c) Based on the fact that w =X^ top alpha. explain why we say w is "in the span of the data."
d) Show that alpha=( lambda*I +XX^ top )^ -1 y. Note that X X^ top is the nn Gram (kernel) matrix for the standard vector dot product. (Hint: Replace w by X ^ top alpha in the expression for a, and then solve for a.)
e) Give a kernelized expression for the Xw, the predicted values on the training points. (Hint: Replace w by X ^ top alpha and a by its expression in terms of the kernel matrix X X^ overline top )
f) Give an expression for the prediction w * ^ top x for a test sample æ, not in the training set, where w * is the optimal solution. The expression should only involve a via inner products training data samples x_{i}, i = 1 ,...,n.
g) Based on (f), propose a kernalized version of the Ridge regression.
To obtain the prediction \(w_*^Tx\) for a test sample x, we need to substitute \(w = X^\)T\alpha into
a) To find the minimizer of the objective function f(w), we need to differentiate it with respect to w, set it equal to zero, and solve for w.
First, we expand the norm term:
\(||Xw - y||^2 = (Xw - y)^T(Xw - y) = w^TX^TXw - 2y^TXw + y^Ty\)
Taking the derivative of f(w) with respect to w and setting it equal to zero, we get:
\(2(X^TXw - X^Ty)\) + 2\lambda w = 0
Rearranging the terms, we have:
\(X^TXw\) + \lambda Iw \(= X^Ty\)
which implies that:
\((X^TX\) + \lambda I)w \(= X^Ty\)
To obtain the minimizer, we need to solve for w, which gives us:
\(w = (X^TX + \lambda I)^{-1}X^Ty\)
To justify that \(X^TX\) + \lambda I is invertible for lambda > 0, we can use the SVD decomposition of X:
X = U\Sigma \(V^T\)
where U and V are orthogonal matrices and \Sigma is a diagonal matrix with the singular values of X. Then, we have:
\(X^TX = V\Sigma^TU^TU\Sigma V^T = V\Sigma^T\Sigma V^T\)
Since \Sigma\(^T\)\Sigma is also a diagonal matrix with non-negative entries, adding lambda I to \(X^TX\) ensures that all eigenvalues are strictly positive, and hence the matrix is invertible.
b) Substituting \(X^Tu\) for w in \(X^TXw\) + \lambda Iw \(= X^Ty\), we get:
\(X^TX(X^Tu)\) + \lambda \(IX^Tu = X^Ty\)
Simplifying, we get:
\(X^T\)(\(X^TX\) + \lambda I)u =\(X^Ty\)
Thus, we have:
\(u = (X^TX + \lambda I)^{-1}X^Ty\)
Substituting this into \(X^Tu\), we get:
\(w = X^T(X^TX + \lambda I)^{-1}X^Ty\)
c) Since \(w = X^T\) \alpha and \(X^T\) represents a linear combination of the columns of X, we can say that w is a linear combination of the columns of X, and hence is "in the span of the data."
d) Substituting \(w = X^T\)\alpha into the expression for a, we get:
\(a = \frac{1}{\lambda}(X^Ty - X^TX(X^T\alpha))\)
Multiplying both sides by \lambda and rearranging, we get:
\(X^TX\)\alpha + \lambda\alpha \(= X^Ty\)
This can be rewritten as:
(\lambda I \(+ X^TX)\)\alpha \(= X^Ty\)
To obtain the expression for \alpha, we can simply solve for \alpha:
\(\alpha = (\lambda I + X^TX)^{-1}X^Ty\)
Note that X^TX is the Gram (kernel) matrix for the standard vector dot product.
e) Substituting \(w = X^\)T\alpha into the expression for Xw, we get:
\(Xw = XX^T\alpha\)
Using the kernelized form of \alpha, we have:
\(Xw = XX^T(\lambda I + XX^T)^{-1}y\)
f) To obtain the prediction \(w_*^Tx\) for a test sample x, we need to substitute \(w = X^\)T\alpha into
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.
Divide: 49.712 ÷ 1000
None of these is correct.
49,712
0.049712
0.49712
Answer:
first your going to to change the number to look like this 1000÷ 49.712 and your answer is going to be 20.1158673962 or just 20.1
Step-by-step explanation:
:
Ethan needs to add together two whole numbers
and wants to estimate the answer first.
He rounds both numbers to 1 significant figure,
which gives him 300 and 600, and adds them
together to get an estimate of 900.
What is the greatest possible difference
between his estimate and the true answer to the
addition?
The required greatest difference between the estimate and the true value is 45.
Given that,
Ethan needs to add together two whole numbers and wants to estimate the answer first. He rounds both numbers to 1 significant figure, which gives him 300 and 600 and adds them together to get an estimate of 900.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
For the estimated number 900, the least number that can be rounded to the number 900 is 855,
Now,
Difference = 900 - 855 = 45
Thus, the required greatest difference between the estimate and the true value is 45.
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whats the distance between (−8, 4) and (−8, −2)?
Answer:
6
Step-by-step explanation:
We want to use the distance formula for this problem
\(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1}) ^{2} }\)
\(\sqrt{(-8+8)^{2} +(-2-4)^{2} }\)
\(\sqrt{0+36}\)
The distance between these two points is 6
Is 5 a solution for 3x + 4 = 19
Answer:
yesssssss!!!
Step-by-step explanation:
24 is 100% of what number?
Answer:
24
Step-by-step explanation:
It is the same number.