116.7
Step-by-step explanation:
[tex]{ \blue{ \sf{8.1x + 7.5y}}} \: { \to} \: { \red{ \bold{ {eq}^{n} (1)}}}[/tex]
Put x = 7 and y = 8 in Eqⁿ (1)
[tex]{ \blue{ \sf{8.1(7) + 7.5(8)}}}[/tex]
[tex]{ \blue{ \sf{56.7 + 60.0}}}[/tex]
[tex]{ = { \pink{ \boxed{ \purple{ \sf{116.7}}}}}}[/tex]
The beta for the DAK Corporation is 1.25. The yield on 30-year T-bonds is 5.65 percent, and the long-term average return on the S&P 500 is-11 percent. Calculate the required rate of return for DAK Corporation. I
The required rate of return for DAK Corporation is 12.34%.
What is the required rate?
The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.
Here, we have
Given Information
Beta = 1.25
The yield on 30-year T bonds (rf)= 5.65%
Return on S&P (rM) = 11%
Required Return for DAK = rf + Beta*(rM - rf)
= 5.65% + 1.25*(11% - 5.65%)
= 12.34%
Hence, the required rate of return for DAK Corporation is 12.34%.
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if your model performs great on the training data but generalizes poorly to new instances, what is happening? discuss two possible solutions.
Increasing data collection and streamlining the model are the answers to overfitting.
Given statement;
If your model performs great on the training data but generalizes poorly to new instances.
The possible solutions for the given condition is,
A model is probably overfitting the training data if it performs well on the training data but poorly on new examples (or we got extremely lucky on the training data). Obtaining more data, simplifying the model (choosing a simpler technique, reducing the amount of parameters or features utilized, or regularizing the model), or lowering the noise in the training data are all potential remedies for overfitting.
Hence, the solutions to overfitting are getting more data, simplifying the model.
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Choose which line represents the line of best fit.
A. There is no line of best fit for this data.
B. Line C
C. Line B
D. Line A
A line which represents the line of best fit is: C. Line B.
What is a line of best fit?A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
The characteristics of a line of best fit.In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
The line should be very close to the data points as much as possible.The number of data points that are above the line should be equal to the number of data points that are below the line.By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.
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Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 37 shifts that she had a mean of 4.5 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Jodi calculates from a random sample of 32 shifts that her mean was 5.3 calls per shift. She knows that the population standard deviation for her shift is 1.5 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places
The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94
According to the question,
Karen's data:
Sample size : n₁ = 37
Sample mean = 4.5
Sample standard deviation : s₁ = 1.1
Jodi's data ,
Sample size : n₂ = 32
Sample mean = 5.3
Sample standard deviation : s₂ = 1.5
To calculate significance difference between two means we use t-test
t = difference of mean / √(pooled variance / n₁ + n₂)
Pooled Standard deviation = [tex]\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}[/tex]
=> [tex]\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}[/tex]
=> [tex]\sqrt(\frac{(43.56+ 69.75)}{67}[/tex]
=>[tex]\sqrt(\frac{(113.31)}{67}[/tex]
=> √1.6911
t = 37 - 32 / (√1.6911/37+32)
=> 5 / √0.0245
=> 31.94 is test value
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13. LMN-QMP. Find the length of LM
Answer:
LM = 18
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{LM}{QM}[/tex] = [tex]\frac{LN}{QP}[/tex] ( substitute values )
[tex]\frac{LM}{12}[/tex] = [tex]\frac{15}{10}[/tex] ( cross- multiply )
10 LM = 180 ( divide both sides by 10 )
LM = 18
Find the value of x *
2x - 12
2
1
3
This is triangle proportional theorem and I need help
Answer:
2x2+1+3-12
4+1+3-12
5+3-12
8-12
-4x
Solve for Y. X=2/3(Y+Z)
Y=3X/2-Z for the equation X=2/3(Y+Z)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
X=2/3(Y+Z)
x equal to two by three times of y plus z
Apply distributive property on RHS
X=2Y/3+2/3Z
Now Subtract 2/3Z on both sides
X-2/3Z=2/3Y
Divide both sides by 2/3
3/2X-Z=Y
Hence Y=3X/2-Z for the equation X=2/3(Y+Z)
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how do you subtract mixed fractions?
Answer: Making them into improper fractions will really help you with subtracting mixed fractions! For example 2[tex]\frac{1}{5} \\[/tex] - 1[tex]\frac{1}{4}[/tex].
Making them into improper fractions will turn the expression into [tex]\frac{11}{5}[/tex] - [tex]\frac{5}{4}[/tex].
Turn the denominators into the greatest common multiple, so the greatest common multiple of 5 and 4 is 20. Meaning you multiply [tex]\frac{11}{5}[/tex] by 4 and [tex]\frac{5}{4}[/tex] by 5.
You now have [tex]\frac{44}{20} -\frac{25}{20}[/tex], which is much easier to work with. Simply subtract the numerators, and you should get [tex]\frac{19}{20}[/tex].
Hope this helps :)
Harper needs to mail an envelope. She weighs it at home as 10.4 ounces. When she gets to the post office, the clerk weighs it at 9.6 ounces. What is the percent error in the weight of the envelope
The percent error in the weight of the envelope is 7.69%.
What is the percentage?Given that Harper weighs it at home as 10.4 ounces and then when she gets to the post office, the clerk weighs it at 9.6 ounces.
The percentage error will be:
= Change in value / Original value × 100
= (10.4 - 9.6) / 10.4 × 100
= 0.8 / 10.4 × 100
= 7.69%
The percentage is 7.69%.
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consider the function f(x) =3x+8, What is the correct set up for f(x)=7?
Answer: 29
Step-by-step explanation: 3 times 7 = 21 + 8 = 29
Answer:
7=3x+8
x=-1/3
Step-by-step explanation:
we just replace f(X) with 7
7=3x+8
-8. -8
-1=3x
/3. /3
-1/3=x
Hopes this helps please mark brainliest
Students in the HC States Advisory are covering one of their homeroom walls with wallpaper. The wall is rectangular and has a perimeter of 408 ⅜ inches. The students are using square stickers with a side length of 2 ⅜ inches to cover the wall. If they need exactly 18 stickers to completely cover the width of the wall, how many whole stickers can they fit across the length of the wall?
Answer:
cm2 to inch2 conversion. Conversion square centimeters to square inches, cm2 to inch2. The conversion factor is 0.15500031000062; so 1 square centimeter ...
Step-by-step explanation:
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The perimeter of a rectangle.
= 2 ( length + width)
The number of 2(3/8) inches tickets to fit into the length of the wall is
154 tickets.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The perimeter of a rectangle.
= 2 ( length + width)
The wall is rectangular and has a perimeter of 408 ⅜ inches.
This means,
408 (3/8) = 2 (length + width)
3267/8 = 2 (length + width) _____(1)
Now,
The total width of the wall.
= 2 width
Now,
Length of the square stickers = 2 (3/8) inches = 19/8 inches
The number of stickers needed to cover the width of the wall = 18
2 width = 18 x 19/8 inches.
2width = 18 x 19/8
width = 171/8 inches
Now,
From (1) we get,
3267/8 = 2 (length + width)
3267/8 = 2 (length + 171/8)
3267/8 - 342/8 = 2 length
2925/(8 x 2) = length
2length = 2925/(8 x 2)
2length = 2925/8
The number of stickers to cover the total length.
= 2925/8 ÷19/8
= (2925 x 8)/ (19 x 8)
= 154
Thus,
The number of 2(3/8) inches tickets to fit into the length of the wall is
154 tickets.
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If Q(t)= C/4t - 1 an equation for Q-¹(t) is
If Q(t)= C/4t - 1 an equation for Q-¹(t) is y = C + t/4t.
Define equation.A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
Given,
Q(t) = C/4t -1
Put a "y" in place of the "Q(t)":
y = C/4t -1
Change the t and y since each (t, y) has a corresponding (y, t) companion.
t = C/4y -1
Distribute t by multiplying into the bracket to find y.
t × 4y -1 = C
t × 4y - t = C
Add both sides of the equation together now.
t × 4y = C +t
4t divided by both sides
y = C + t/4t
If Q(t)= C/4t - 1 an equation for Q-¹(t) is y = C + t/4t.
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what is 41616125671617152751278 times a44
Answer:
1.8311095e+24
Step-by-step explanation:
41616125671617152751278 x 44 = the number above
why..
An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13tubes of white paint, and 9 tubes of blue paint for a mural.
What is the ratio of tubes of blue paint to all of the tubes of paint used?
The ratio of tubes of blue paint to all of the tubes of paint used is 3/10
In this question, we have been given an artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural.
Total number of the tubes of paint used = 6 + 2 + 13 + 9
= 30
the ratio of tubes of blue paint to all of the tubes of paint used would be,
9/30 = 3/10
Therefore, the ratio of tubes of blue paint to all of the tubes of paint used is 3/10
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7 girls : 2 boys is equivalent to what ratio?
Answer:7:2 or 7 to 2
Step-by-step explanation:
Answer:
7 : 2 7/2 we can use two
Step-by-step explanation:
7 : 2 can't simplified
Find the percentage error of the mass of a bag of sugar that weighs 10.00kg, correct to 2 decimal places.
The percentage error of the mass of a bag of sugar that weighs 10.00kg is 0.1%
The mass of a bag of sugar that weighs = 10.00 kg
The possible error measurements are 10.01, 10.02 etc
The least count error in the measurements = 0.01
The percentage of error = (The least count error in the measurements / The mass of a bag of sugar that weighs ) × 100
Substitute the values in the equation
The percentage of error = (0.01 / 10) × 100
Divide the terms
= 0.001 × 100
Multiply the terms
= 0.1%
Hence, the percentage error of the mass of a bag of sugar that weighs 10.00kg is 0.1%
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4 friend buy cinema ticket uing the offer
Buy 3 ticket and get a ticket free
Tey EACH pay £6. 15
How much doe a ticket cot
One ticket will cost you £8.20.
What is an example of a unitary method?
A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel.
Explanation
Suppose a single ticket costs = [tex]x[/tex]
They actually need to pay for 3 tickets because the promotion reads "purchase 3 tickets and receive one free."
so, the total price of three tickets = [tex]3x[/tex]
Four buddies each pay £6.15, making a total of £24.60 between them.
The equation will therefore be.....
[tex]3x = 24.60\\x = \frac{24.60}{3} = 8.20[/tex]
Consequently, a single ticket will cost £8.20.
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What is the intermediate step in the form (x+a)^2=b(x+a) 2 =b as a result of completing the square for the following equation? x^{2}+32x+116= x 2 +32x+116= \,\,12x 12x
The intermediate step of equation x^{2}+32x+116=0 is (x + 16)² = 140
In this question, we have been given an equation x^{2}+32x+116=0
We need to find the intermediate step in the form (x + a)^2=b as a result of completing the square for the given equation
We can write given equation as,
x^{2}+32x= -116
Take the coefficient of x
k = 32
Divide it by 2
k/2 = 16
Square both sides
(k/2)^2 = 256
Add 256 to both sides of x² + 32x = -116
x² + 32x + 256 = -116 + 256
(x + 16)² = 140
Therefore, the intermediate step of equation x^{2}+32x+116=0 is (x + 16)² = 140
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f(x) = 0.5x-3 into the graph g? Use the graph and the given equation to describe the transformation. g(x)=f(x) + k
The values of k are as follows when using translational ideas:
7. k = 3
A translation is what?
A change in the function graph, as defined by operations like multiplication or sum/subtraction, represents a translation.
How do you describe a change?
A metamorphosis is an indicate higher in look or form. Your life may change as a result of a significant occasion like earning your driver's license, enrolling in college, or getting married. An dramatic, drastic shift is called a metamorphosis.
In this problem:
g(x) is a 3 unit shift up of f(x), therefore k = 3.
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25.75x + 22.00 = 19.50x+47.00
The value of x for the given expression 25.75x + 22.00 = 19.50x+47.00 will be 4.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
25.75x + 22.00 = 19.50x+47.00
25.75x - 19.50x = 47.00 - 22.00
6.25x = 25
x = 4
Hence "The value of x for the given expression 25.75x + 22.00 = 19.50x+47.00 will be 4".
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Using technology, determine the present value given that you make quarterly payments of $1,635 at 4.2% compouded quarterly over a 3 year period. Round your answer to the nearest cent. a. $15,168.06 c. $19,180.84 b. $19,188.94 d. $18,344.05
Present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is calculated as follows:
Present Value = $1,635 × PVIFA ( 4.2%/4 ,3 Years)
Present Value = $1,635 × PVIFA (1.05% ,12)
= $1,635 × 11.21960
= $18,344
The present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344
Hence, present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344
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You have 2 different savings accounts. For Account A, the simple interest earned after 9 months is $6.94. For
Account B, the simple interest earned after 33 months is $39.60. If the interest rate is 3.7% for Account A and 2.4% for
Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain
The principal amount in account A was $250.09 and in account B it was $600.
Account B earned you the most interest the first month because $1.2 is higher than $0.7711.
What is the simple interest?
Simple interest is a quick and easy way to calculate the interest charge on a loan. Simple interest is calculated by multiplying the daily interest rate by the principal by the number of days between payments.
The formula for simple interest is expressed as
I = PRT/100
Where, P = the principal or initial amount of money invested.
R = interest rate
T = time
On account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years.
Using the formula:
I = PRT/100
[tex]6.94 = \frac{P(3.7)(0.75)}{100} \\\\6.94 = 0.02775P\\\\P=250.09[/tex]
On account B,
I = $39.60
R = 2.4%
T = 33 months = 33/12 = 2.75 years
Using the formula:
I = PRT/100
[tex]39.60= \frac{P(2.4)(2.75)}{100} \\\\39.60 = 0.066P\\\\P=600[/tex]
To find the account that earned more interest in the first month we have to divide the interest by the number of months.
For account A,
6.94/9 = $0.7711
For account B,
39.60/33 = $1.2
Hence, the principal amount in account A was $250.09 and in account B it was $600.
Account B earned you the most interest the first month because $1.2 is higher than $0.7711.
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Use two unit multipliers to convert 300 inches to meters.
Answer: 7.62m
Step-by-step explanation:
[tex]300in(\frac{2.54cm}{1in})( \frac{0.01m}{1 cm} )[/tex]
[tex]7.62m[/tex]
Mathew drives m miles in x hours. How many hours would he save if he drove the same distance at k miles per hour
The time saved will be: x - m/k This is a simple exercise in manipulating symbols. Let's take a look at the problem and break it down. "Stanley drives m miles in x hours" This statement immediately gives us 2 variables; "m" to represent how many miles the trip is and "x" for the number of hours it took Stanley to drive that far. Now let's look at the next statement. "How many hours would he save if he drove the same distance at k miles per hour?" This statement gives us another variable "k" for a new speed and gives us the question to answer. How many hours would Stanley save if he made the trip at a different speed. Since we're interested in hours saved, we need 2 different time values. They are 1. How much time did Stanley originally take? 2. How much time will the new speed make Stanley take? Looking at m, x, and k. We can immediately see that x is the original time that Stanley took. So we have that value. But we don't have any value for how long will it take at a new speed. But can we calculate it? And the answer to that is YES. The time it will take is the distance divided by the new speed. And that would be m/k. And since we're looking for savings, we just need to subtract the two time values. So our equation becomes x - m/k where x = original time taken m = distance of trip k = new speed to drive at.
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
16/9, 4/3, 1, 3/4, and 9/16
Step-by-step explanation:
1.) Plug these x values into the equation. You will get: 16/9, 4/3, 1, 3/4, and 9/16.
Answer:
16/9, 4/3, 1, 3/4, and 9/16
Step-by-step explanation:
1.) Plug these x values into the equation. You will get: 16/9, 4/3, 1, 3/4, and 9/16.
Factor the expression 16a4 − b4 using the polynomial identity (x2 − y2) = (x − y)(x + y)
The factorization of given expression would be,
(4a^2)^2 - (b^2)^2= (4a^2 + b^2)(4a^2 - b^2)
In this question, we have been given an expression 16a^4 − b^4
We need to factor given expression using the polynomial identity
(x^2 - y^2) = (x − y)(x + y)
We write given expression as,
16a^4 − b^4 = (4a^2)^2 - (b^2)^2
Using the above polynomial identity,
16a^4 − b^4
= (4a^2)^2 - (b^2)^2
= (4a^2 + b^2)(4a^2 - b^2)
Therefore, the factorization of given expression would be,
(4a^2)^2 - (b^2)^2= (4a^2 + b^2)(4a^2 - b^2)
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GCF (96,144).............................
Answer:
The LCM of 96 and 144 is 288.
Step-by-step explanation:
Please give the brainliest, really appreciated.
true or false? there are in total 24 ways to arrange 2 out of 5 books (a, b, c, d, and e) on a shelf, if the order of each arrangement does matter.
Answer:True
Step-by-step explanation:
Points G (-5,-8) and H (3,7) are plotted on a coordinate grid. Point J is plotted so that GH is the hypotenuse of the right triangle formed by joining the three points. What are the coordinates of point J? Select all that are possible.
(-3,-8)
(5,-7)
(-3,8)
(-5,7)
(3,8)
(5,7)
(-5,-7)
(3,-8)
(question 5.)
The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.
Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
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this picture will answer a question. Question: During what interval(s) of the domain is the baseballs height increasing?
(btw you have to write the answer, there is no multiple choice)
Answer:
(0,2)
It increases at the beginning. From 0 to 2 on the x axis
