The statement is True. Mean normalization scales data to have a mean of 0, which allows the gradient descent algorithm to more quickly identify the optimum point.
Mean normalization is a feature scaling technique used to speed up the learning process of gradient descent algorithms. It works by mapping the values of a dataset to a range of [-1, 1], or [0, 1], by subtracting the mean from each data point and dividing by the standard deviation. This scaling process helps to reduce the impact of the outliers and normalize the data, allowing the gradient descent algorithm to more quickly converge on the optimal solution. This results in faster and more accurate models.
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yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls. find the number of rolls sold by each bakery. provide the work that shows how u arrived at your answer.
The yummy bakery sold 216 roles and oh so good bakery sold 523 roles.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls.
We can write the relation as -
2x - 9 + x = 639
3x - 9 = 639
3x = 648
x = 216
So, we can write -
2x - 9 = 2 x 216 - 9 = 532 - 9 = 523
Therefore, the yummy bakery sold 216 roles and oh so good bakery sold 523 roles.
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Pls i need answers quickly
Answer:
[tex] \red{ \boxed{\sf{c = 0.81s}}}[/tex]
Step-by-step explanation:
(total cos t) = k (songs)
total cost / songs = k
8.1/10 = k
0.81 = k
now substitute 0.81 in for k in your equation
c = 0.81s
follow..
Solve the system of equations using elimination. −2x + 3y = 15 x + y = 10 (2, 8) (3, 7) (6, 9) (9, 11)
The solution is Option B.
The system of equations is solved and the value of x and y is ( 3 , 7 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
-2x + 3y = 15 be equation (1)
Let the first equation be represented as B
Now , the value of B is
x + y = 10 be equation (2)
On simplifying the equation , we get
Subtracting y on both sides of the equation , we get
x = 10 - y be equation (3)
Substituting the value of x from equation (3) in equation (2) , we get
-2 ( 10 - y ) + 3y = 15
On simplifying the equation , we get
-20 + 2y + 3y = 15
Adding 20 on both sides of the equation , we get
5y = 35
Divide by 5 on both sides of the equation , we get
y = 7
Substitute the value of y in equation (3) , we get
x = 10 - 7
x = 3
Hence , the value of x and y is 3 and 7 respectively
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Answer:
Option B: (3, 7)
Step-by-step explanation:
i took the test xx
the admission fee at an amusement park is $1.50 for children and $4 for adults. on a certain day, 238 people entered the park, and the admission fees collected totaled $632.00. how many children and how many adults were admitted?
There were 128 children and 155 adults.
Let us first set up our system by assigning x and y to mean something. Let x = the number of children and y = the number of adults.
First equation: Children cost $1.50 and Adults cost $4.00. In order to find the amount of money a group of children will cost, we multiply the number of children, x, by 1.5.
This is represented by 1.5x. For adults, who cost 4 dollars to enter, we will use 4y. The total amount of money made on the given day was $632. To get this amount, we must add 1.5x and 4y.
1.5x+4y=632 --------(1)
Second equation: Total amount of people on the given day is 238. To get this number, we must add together x and y, or the number of children and adults.
x + y = 238-----(2)
System of equations:
1.5x+4y=632
x+y = 238
Let's use the substitution of the x variable to solve the system.
x+y=238.
y=238-x
Substitute y = 238 - x into the first equation.
1.5x + 4 (238 - x) =632
1.5x + 952 - 4x = 632
952- 2.5x = 632
-2.5x = -320
x = 128
Substitute x =128 back into y = 238 - x
y = 283-128
y=155
There were 128 children and 155 adults.
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hurry pls this is urgent
A solid right pyramid has a regular hexagonal base with an area of 5. 2 cm? and a height of h cm.
The volume of the pyramid is V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex] or V = 1.73h [tex]cm^{3}[/tex] .
In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc.
we know that,
The volume of the pyramid is equal to
V = [tex]\frac{1}{3} BH[/tex]
where,
B is the area of the base and
H is the height of pyramid
In this problem we have,
B = 5.2 [tex]cm^{2}[/tex]
H = h cm
substitute in the formula in V = [tex]\frac{1}{3} BH[/tex] ,
V = [tex]\frac{1}{3}[/tex] × 5.2 × h
V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]
or
V = 1.73h [tex]cm^{3}[/tex]
Therefore, the volume of the pyramid is V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex] or V = 1.73h [tex]cm^{3}[/tex] .
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The volume of the solid right pyramid is given as V= 1/3(b*h) and hence volume(V) is equals to h/3(5.2) cm^3 or 1.73h cm^3
In solid right pyramid volume is given by the product of base of the area and the height of the solid pyramid and it is divided by 3 and volume is defined as the 3-dimensional area covered by the solid right pyramid . so volume is the product of the base of the area and the height and it is divided by 3
So , here "b" is the base of the area
"h" is the height of the solid right pyramid
We have ,base B=5.2 cm^2
height H= h cm
As , Volume is given by the product of the base and height of the right pyramid and it is divided by 3 , we used to solve the volume as
V=1/3 (5.2 * h) cm^3=(h/3)(5.2) cm^3
V=1.73 h cm^3
So, the volume of the solid right pyramid is given by V=h/3 (5.2) cm^3 or V=1.73 h cm^3
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what is the 10 year to 3 month term premium
The 10-year to 3-month term premium will be 0.079%.
Now, According to the question:
The premiums that are the regularly scheduled installments that are finished to pay the inclusion of the insurance contract are less expensive in term life coverage than in real money life coverage as the term just covers the recipients for the period the contract is purchased for instance: a half year. On the off chance that the individual who claims the arrangement passes on in a half year, the insurance agency needs to pay the recipients the capital set in the strategy.
Anyway assuming the individual passes on after the a half year or doesn't bite the dust the insurance agency pay nothing to the buyer of the strategy.
In the money life coverage the individual gets one last installment though the individual lives or passes on as the strategy goes about as a saving arrangement.
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The complete question is:
What is the 10-year to 3-month term premium of the following yield curve?
3. Priya says, "I can figure out the value of 3-¹ by looking at other powers of 3. I know that 32 = 9, 3¹ = 3, and 3⁰ = 1."
a. What pattern do you notice?
b. If this pattern continues, what should be the value of 3-¹?
c. If this pattern continues, what should be the value of 3-2?
a) The pattern we noticed in the sequence is; A geometric sequence
b) The value of 3⁻¹ which is the fourth term is; 1/3
c) The value of 3⁻² which is the fifth term is; 1/9
How to solve geometric progression?The general formula for the nth term of a geometric progression is;
aₙ = arⁿ⁻¹
where;
a is first term
r is common ratio
We are given the sequence as;
3², 3¹, 3⁰,____
Thus;
First term a = 9
Common ratio; r = 3/9
r = 1/3
b) Thus; 3⁻¹ will be the 4th term and as such will be;
3⁰ * 1/3 = 1/3
c) Similarly, The fifth term is 3⁻² expressed as;
1/3 * 1/3 = 1/9
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(HELP ME I BEG YOU) rewrite each expression as a product of 2 fractions one of which is equal to 1 then write it as an equivalent just simpler expression.
[tex] \frac{10}{10} {}^{5}{2}[/tex]
the large 2 is supposed to be at the bottom 10
The equivalent exponential expression to 10^5/10² is given as follows:
10³.
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
10^5/10².
When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.
The subtraction of the exponents in this problem is given as follows:
5 - 2 = 3.
Hence the equivalent exponential expression to 10^5/10² is given as follows:
10³.
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How can you tell if data has outliers? Include the formula
Using interquartile ranges.
Interquartile range (IQR) indicates the middle half range of the data set. You can use IQR to create "fences" around your data and define outliers as values outside those fences.
This method is useful when you have some values on either end of your dataset, but you are not sure whether any of them should be considered outliers.
Interquartile range method Sort the data from lowest to highest Identify the first quartile (Q1), median, and third quartile (Q3). Calculate IQR = Q3 – Q1 Calculate Top Fence = Q3 + (1.5 * IQR) Calculate bottom fence = Q1 – (1.5 * IQR) Use fences to highlight outliers, values outside the fence.About outliers of dataOutliers are data that deviate too far from other data in a data set (outlier). The existence of these data outliers will make the analysis of a series of data biased, or not reflect the actual phenomenon. The term outliers is also often associated with extreme values, both large extremes and small extremes.
As an illustration, if there are four students, the first student has a monthly allowance of Rp. 500 thousand, second students Rp. 600 thousand, third student Rp. 700 thousand, and the fourth student because he is the son of a rich man (sultan), has a monthly allowance of up to Rp. 5 million. At a glance it appears that the value of 5 million is relatively far compared to the pocket money of the other three students.
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During a ale, a tore offered a 15% dicount on a bed that originally old for $350. After the ale, the dicounted price of the bed wa marked up by 15%. To the nearet whole number, what percent of the original price wa the price after markup?
The final price is 97.714% of the original price. To the nearest whole number, that's 98%.
Percent After Markup BedLet's call the final price of the bed "x".
First, we'll find the discount price:$350 * 0.15 = $52.50$ discount
So, the discounted price of the bed is $350 - $52.50 = $297.50Next, we'll find the markup amount:$297.50 * 0.15 = $44.63 markup
So, the final price of the bed is $297.50 + $44.63 = $342.13Finally, we'll find the percent increase from the original price:$342.13 / $350 = 0.97714
So, the final price is 97.714% of the original price.
To the nearest whole number, that's 98%.
The method used to solve this problem is applicable to a wide range of similar problems in pricing and discounting, as well as in finance and economics. This method can be used to calculate the final price of an item after applying a discount followed by a markup, or to find the original price of an item given the final price and the discount and markup amounts. The method can also be extended to problems with multiple discounts or markups, as well as problems involving different discount or markup percentages.
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Is Into the Radius VR worth it?
It's definitely one of the more rewarding survival experiences that has hit the platform.
Is Into the Radius VR worth it?
Now the studio says it's bringing the open world game to Quest 2 starting next month. Update (August 31st, 2022): CM Games has announced that Into the Radius is arriving on Quest 2 on September 8th. You can wishlist it over on the Meta Store here.Now the studio says it's bringing the open world game to Quest 2 starting next month. Update (August 31st, 2022): CM Games has announced that Into the Radius is arriving on Quest 2 on September 8th. You can wishlist it over on the Meta Store here.Just like with any other technology, overexposure to VR can lead to increased alterations in the brain, resulting in headaches and nausea.To learn more about radius refers to:
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Find the value of x and measure of angle V if ABCD~TUVW
Each of the following events result in a tax payment. Which is an example of a direct tax?
A. Charles sells a 25-acre lot, which includes a barn.
B. Sammy stops to pump gas on a cross-country road trip.
C. Ingrid's cable bill contains extra fees that weren't listed in the plan.
D. Javier owes money to the federal government based on job earnings.
Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.
How Do Direct Taxes Work?A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.
Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.
Therefore, option D is correct.
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if 4x-y=12, then what is the value of
The value of (16^x)/(2^y) if 4x-y=12 is 4096.
Therefore the answer is 4096.
We are given the equation 4x - y = 12. To find the value of (16^x)/(2^y), we need to find the values of x and y. To do this, we can isolate either x or y and solve for it:
4x - y = 12
y = 4x - 12
We can substitute the expression for y into the expression for (16^x)/(2^y) to find the value:
(16^x)/(2^y) = (16^x)/(2^(4x - 12)) = (16^x)/(2^(4x)) * (2^12)
Note that 2^4 = 16, so (16^x)/(2^4x) = 1, which means that (16^x)/(2^y) =2^12.
Therefore, the value of (16^x)/(2^y) is 4096.
--The question is incomplete, answering to the question below--
"If 4x-y=12, then what is the value of (16^x)/(2^y) "
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if kvk = 4 and kwk = 7, what are the smallest and the largest possible values of kv − wk? what are the smallest and the largest possible values of v · w?
if |v| = 4 and |w| = 7, what are the smallest and the largest possible values of |v − w|
smallest and the largest possible values of v · w
v and w are vectors, not numbers. v*w indicates the dot product of these vectors and l v l and l w l their magnitudes.
Assuming v and w are vectors with any direction but with definite magnitudes
||v − w|| ≤ ||v|| + ||w|| = 11
and ||v − w|| ≥ ||v|| − ||w||| = 3,
while
|v · w| = ||v||||w|| cos θ ≤ ||v|| · ||w|| = 28,
so −28 ≤ v · w ≤ 28.
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Let a be a 32 matrix. explain why the equation ax b cannot be consistent for all b in . generalize your argument to the case of an arbitrary a with more rows than columns.A. When written in reduced echelon form, any 3x2 matrix will have at least one column of all zeros. Since there is not a pivot in every column, the matrix cannot be consistent B. When written in reduced echelon form, any 3x2 matrix will have at least one row of all zeros. When solving Ax = b. that row will represent an equation with infinitely many solutions C. When written in reduced echelon form, any 3x2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side. D. When written in reduced echelon form any 3x2 matrix will have a pivot in every row.
When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.
This means that there is no solution for the equation Ax=b for that specific b, making the system inconsistent.
Generalizing this argument to the case of an arbitrary A with more rows than columns, if the number of rows in A is greater than the number of columns, the reduced row echelon form of A will have at least one row of all zeros, and the corresponding equation in Ax=b will have no solution, making the system inconsistent for that specific b.
Hence, the correct answer is B.
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--The given question is incomplete; the complete question is
"Let A be a 3 times ×2 matrix. Explain why the equation Ax=b cannot be consistent for all b in a set of real numbers R3.
Generalize your argument to the case of an arbitrary A with more rows than columns.
Why is the equation Ax=b not consistent for all b in a set of real numbers R3?
A. When written in reduced row echelon form, any 3 ×2 matrix will have at least one column of all zeros. Since there is not a pivot in every column, the matrix cannot be consistent.
B. When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.
C. When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with infinitely many solutions.
D. When written in reduced row echelon form, any 3 ×2 matrix will have a pivot in every row. Because there are more rows than columns, this is too many pivots, and the system will be inconsistent."--
HELP ASAP PLEASE !!!
The starting value of the expression is, y = 3.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ y = 3 × q⁵
Now, For starting value substitute q = 1 in above equation,
⇒ y = 3 × q⁵
⇒ y = 3 × 1⁵
⇒ y = 3 × 1
⇒ y = 3
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show thatf′(x) = 0 at least once for the functionf(x) = 1−ex (e−1) sinπ2xon the interval [0,1]
the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1. Therefore, the value of x for which[tex]f'(x)=0 is x = 0.[/tex]
To find the value of x for which[tex]f'(x)=0[/tex], we need to differentiate the given function.
[tex]f'(x) = (e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x))[/tex]
Now, set [tex]f'(x) = 0[/tex]and solve for x.
[tex](e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x)) = 0(e-1)(π/2)(ex) = (sin(π/2x))ex = (sin(π/2x))/(e-1)(π/2)[/tex]
Taking natural log on both sides
[tex]xln(e) = ln(sin(π/2x)) - ln((e-1)(π/2))xln(e) = ln(sin(π/2x)) - ln(e-1) - ln(π/2)x = (ln(sin(π/2x)) - ln(e-1) - ln(π/2))/ln(e)[/tex]
Since the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1.
Therefore, the value of x for which [tex]f'(x)=0 is x = 0.[/tex]
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If the dot indicates the center of the circle, which equation must be true?
If the dot indicates the center of the circle, the equation that must be true is
C. angle A + angle B = 180 degreesWhat is angle on a semi circle?The diameter of the semicircle is shown by line segment bearing the dot at the center.
By drawing a line from each end of the diameter to any location on the semicircle, the inscribed angle is created anywhere you perform this is a 90-degree angle will result.
This mean that angle B = angle A = 90 degrees
hence there addition is 180 degrees
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does the value of the mean of x make sense? the mean of 13.513.5 does not make sense because
No, the mean of 13.513.5 does not make sense because it is not a whole number.
The mean of a set of numbers is calculated by adding up all of the numbers in the set and then dividing by the total number of items in the set. The mean is a representation of the average of the data set. It is important to note that the mean should always be a whole number, since it is an average of the values in the set. Therefore, the mean of 13.513.5 does not make sense because it is not a whole number. A whole number mean indicates that the values in the set are all the same, or at least very close, while non-whole number means indicate that there is a greater difference between the values in the set. This is why it is important to make sure the mean of a data set is a whole number.
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The complete question is
Does the value of the mean of x make sense? the mean of 13.513.5 does not make sense because it is not a whole number
Triangle Proportionality Theorem Question
The value of x is15
The value of y is 20
The value of z is 58.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔWXY ≈ ΔQRS
This means,
Consecutive sides and angles are equal.
15 + x = 30
x = 30 - 15
x = 15
y = 20
40 = z - 18
z = 40 + 18
z = 58
Thus,
x = 15
y = 20
z = 58
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Rebecca and Dan are biking in a national park for three days. They rode hours the first day and hours the second day. How long do they need to ride on the third day to make their goal of biking a total of 20 hours in the park?
They need to ride "x = 20 - (hours a first day + hours second day)" on the third day to make their goal of biking a total of 20 hours in the park.
Let's call the number of hours Rebecca and Dan rode on the third day "x".
Then, the total number of hours they rode in the park is given by:
total hours = hours first day + hours second day + x
And, we know that their goal is to bike a total of 20 hours in the park, so we can set the equation equal to 20:
total hours = hours first day + hours second day + x = 20
We can substitute in the values for hours first day and hours second day:
20 = hours first day + hours second day + x
So, to find the number of hours they need to ride on the third day to reach their goal, we just need to solve for x:
x = 20 - (hours first day + hours second day)
We would need to know the values for hours first day and hours second day to find the exact value of x.
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Question 3 of 10
What are the more appropriate measures of center and spread for this data
set?
0 2
4
5 8 10
H
14
24
6 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the median
C. Better measure of spread: the interquartile range (IQR)
D. Better measure of center: the mean
The two choices that reflect one for the center and one for the spread are:
A. Better measure of spread: the interquartile range (IQR)
B. Better measure of center: the median
Why are they the selected choices?For the first data set, the values appear to be unordered, so it would be difficult to determine the mean. The median is a more appropriate measure of center for this data set, as it would provide a value that separates the data into two halves.
The interquartile range (IQR) is a better measure of spread for this data set, as it provides a robust measure of spread that is less sensitive to outliers. The IQR is the difference between the 75th percentile and the 25th percentile of the data, and it provides a measure of the spread of the middle 50% of the data.
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at aeropostale, david bought 4 t shirts and 3 pairs of jeans for $181. at the same store, jennifer bought 1 t shirt and 2 pairs of jeans for $94. the t shirts and jeans were the same price in both instances. what is the price of the t shirts?
The price of a t-shirt is $43.50.
Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".
For David:
4t + 3j = 181
For Jennifer:
t + 2j = 94
We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:
3t + j = 87
Next, we can substitute the second equation into the third equation to eliminate t:
3(t + 2j) = 3 * 94 = 282
Expanding the left side, we have:
3t + 6j = 282
Subtracting j from both sides:
3t + 5j = 282 - j
Combining like terms:
3t + 6j = 282
Subtracting the first equation from the third equation:
2t = 181 - 94
Combining like terms:
2t = 87
Finally, solving for t:
t = 87 / 2 = 43.5
The price of a t-shirt is $43.50.
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The price of a t-shirt is $43.50.
Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".
For David:
4t + 3j = 181
For Jennifer:
t + 2j = 94
We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:
3t + j = 87
Next, we can substitute the second equation into the third equation to eliminate t:
3(t + 2j) = 3 * 94 = 282
Expanding the left side, we have:
3t + 6j = 282
Subtracting j from both sides:
3t + 5j = 282 - j
Combining like terms:
3t + 6j = 282
Subtracting the first equation from the third equation:
2t = 181 - 94
Combining like terms:
2t = 87
Finally, solving for t:
t = 87 / 2 = 43.5
The price of a t-shirt is $43.50.
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How many M is 5 foot 4 inches?
1.6256 Meters in 5 foot 4 inches
How to convert feet to inches?So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number, so if you're working with significant figures, it won't limit themConversion of feet into inches where in both are imperial units of measuring length. The standard unit to measure the length in centimeters. One feet is equal to 12 inchesThis is my height also, I am 5'7"tall. The conversion factor I remember is that there are 2.54 centimeters in 1 inch, so first I would change the feet to inches. 5 12 = 60 so 5'7" = 67"To learn more about convert feet to inches refers to:
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There are 1.6256 Meters in 5 foot 4 inches
How do you convert an inch to a foot?As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.
Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.
This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.
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Suppose X has an exponential distribution with rate parameter λ1. Suppose Y has an exponential distribution with rate parameter λ2. Suppose X and Y are independent. Calculate P(X > Y).
The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus (1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.
P(X > Y) = 1 - P(X ≤ Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2 = e^(-(λ1 + λ2)t)/2
1. P(X > Y) = 1 - P(X ≤ Y)
2. P(X ≤ Y) = P(X ≤ Y ∩ Y ≤ X)
3. P(X ≤ Y ∩ Y ≤ X) = P(X ≤ Y)P(Y ≤ X) (Since X and Y are independent)
4. P(X ≤ Y) = 1 - P(X > Y)
5. P(Y ≤ X) = 1 - P(Y > X)
6. P(X > Y) = 1 - P(X ≤ Y)P(Y ≤ X)
7. P(X > Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2
8. P(X > Y) = e^(-(λ1 + λ2)t)/2
The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y. Since X and Y are independent, the probability of X being less than or equal to Y and Y being less than or equal to X is equal to the product of the probabilities of X being less than or equal to Y and Y being less than or equal to X. The probability of X being less than or equal to Y is equal to 1 minus the probability of X being greater than Y, and the probability of Y being less than or equal to X is equal to 1 minus the probability of Y being greater than X. Therefore, the probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus [tex](1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.[/tex]
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using u = 1 x , we can write h(x) = 1⁄x arctan(t) dt 1 as h(u) = u arctan(t) dt. 1
H(u) = u arctan(x) - (1) arctan(t) dt is obtained by integrating u arctan(t) with respect to t from 1 to x.
The original function h(x) = 1/x arctan(t) dt can be rewritten as h(u) = u arctan(t) dt by substituting u = 1/x. This is accomplished by substituting 1/u for each instance of x in the original equation.
The result of integrating this equation from 1 to x with regard to t is h(u) = u arctan(x) - (1) arctan(t) dt. The integral of u arctan(t) from 1 to x less the integral of arctan(t) from 1 to x can be used to represent this. The integration variable for the first integral is u, while the variable for the second integral is t.
By adding u = 1/x to the equation, the value of h(u) can then be utilised to determine the value of h(x). To accomplish this, all occurrences of u are replaced.
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(6) I'm stuck with my math pls show all ur steps
Answer:
Alice: y = 11 +1xBenito: y = 1 +3x16 cards after 5 daysStep-by-step explanation:
Alice starts with 11 cards and buys 1 per day. Benito starts with 1 card and buys 3 per day. You want equations for Alice and Benito that describe the number of cards they have (y) in terms of the number of days (x) that have passed. you also want graphs of these equations and when and where the numbers of cards are the same.
EquationsIt really should be no mystery that the number of cards will be the sum of the initial number and the product of the number of days and the number of cards acquired each day:
Alice: y = 11 +1x
Benito: y = 1 +3x
GraphSee the attachment for a graph and the point where the graphs intersect:
x = 5, y = 16 . . . . . both have 16 cards after 5 days.
__
Additional comment
The equations are defined for negative x- and y-values, but in the context of this problem the only values that make sense are ones where x ≥ 0 and y > 0.
Determine the mean, median, standard deviation, and interquartile range for each data set. Then, use the graphing tool to determine the value of the standard deviation.
Number of Days Member Used Facility Last Month
Manuel’s Data Gretchen’s Data
3 22
6 4
8 7
11 8
12 12
8 15
6 10
3 7
10 9
5 6
14 13
9 3
7 8
10 10
8 10
Question
Complete the table for Manuel’s and Gretchen’s data sets.
Type the correct answer in each box. Use numerals instead of words.
The mean, median, standard deviation, and interquartile range for each data set is given below.
How to calculate the valuesThe IQR is a measure of the middle 50% of values when they are organized from lowest to highest. To get the interquartile range, find the median (middle value) of the lower and upper half of the data (IQR).
These are the values for the quartiles 1 (Q1) and 3 (Q3). The IQR is the distinction between Q3 and Q1.
Using the statistical tool, the following were arrived at for Manuel:
Standard Deviation = 3.13961
Mean = 8
Median = 8
IQR = Q3-Q1 = 10 - 6 = 4
Using the statistical tool, the following were arrived at for Gretchen:
Standard Deviation = 4.68737.
Mean = 9.6
Median = 9
IQR = IQR = Q3-Q1 = 12 - 7 = 5.
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