The equation for g(x) will be -x² + 16 + 8x
How to calculate the equationIn the given graph of f(x) and g(x), we can clearly see following transformations happened in f(x) to become g(x):
Reflection over x-axis is given by a changing the sign of the function f(x), i.e.
g(x) = -f(x)
Horizontal left shift by c-units. Horizontal left shift is given by replacing x by x+c in the function f(x), i.e.
g(x) = f(x+c)
Thus on combining both the points we will get the equation of the g(x):
g(x) = f(x + 4)
g(x) = -(x + 4)².
g(x) = -(x² + 16 + 8x)
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find the interior angle of each regular polygon. Round your answer to the nearest tenth.
The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.
What is interior angle of polygon and how to find?Interior Angle of a polygon = 180° – Exterior angle of a polygon. Method 3: If we know the sum of all the interior angles of a regular polygon, we can obtain the interior angle by dividing the sum by the number of sides. Interior Angle = Sum of the interior angles of a polygon / n.
To solve the given problem, it is necessary to know about the polygon. A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.
A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.
For example: -
The triangle is a polygon that has 3 interior angles.The square is a polygon that has 4 interior angles.The pentagon is a polygon that has 5 interior angles.The formula for the interior angle of a regular polygon is given by,
= (n-2)*180/n
Here, n is the number of sides.
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which of the following corresponds to the predictor variable in simple linear regression?
In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.
For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.
The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.
The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.
In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.
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Find each of the following probabilities when n independent Bernoulli trials are carried out with probability of success p.(a) the probability of no successes(b) the probability of at least one success(c) the probability of at most one success(d) the probability of at least two successes(e) the probability of no failures(f) the probability of at least one failure(g) the probability of at most one failure(h) the probability of at least two failures
The probability of at least two failures is 1 minus the probability of 0 or 1 failure, which is 1 - [p^n + nqp^(n-1)].
The probability of a success in one Bernoulli trial is given by p, and the probability of a failure is q = 1 - p.
(a) The probability of no successes is (1-p)^n.
(b) The probability of at least one success is 1 minus the probability of no successes, which is 1 - (1-p)^n.
(c) The probability of at most one success is the sum of the probabilities of 0 and 1 successes, which is (1-p)^n + np(1-p)^(n-1).
(d) The probability of at least two successes is 1 minus the probability of 0 or 1 success, which is 1 - [(1-p)^n + np(1-p)^(n-1)].
(e) The probability of no failures is the same as the probability of n successes, which is p^n.
(f) The probability of at least one failure is 1 minus the probability of no failures, which is 1 - p^n.
(g) The probability of at most one failure is the sum of the probabilities of 0 and 1 failures, which is p^n + nqp^(n-1).
(h) The probability of at least two failures is 1 minus the probability of 0 or 1 failure, which is 1 - [p^n + nqp^(n-1)].
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The cost of 5kg of rice is Rs.425. find the cost of 1kg of rice
Answer:
Rs 85
Step-by-step explanation:
Cost of 5kgs of rice = Rs 425
Cost of 1 kg of rice = 425/5
= Rs 85
So, the cost of a kg of rice is Rs 85
Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p
Answer:
0.31x + 2.4 + 3.4p
Step-by-step explanation:
combine like terms
The Sum Of A Number And Six
Answer:
x+6
Hope this helps! :)
Answer:
The sum of a # and 6 is...
Step-by-step explanation:
It’s at 15??
Full working out for these questions please.
First question is the first attachment and the second question is the second attachment.
Answer:
c,
Step-by-step explanation:
1,050,200The number between 1 and 10: __The power of 10: __The number in scientific notation: __Can you help me and solve the blank spaces
We have to write 1,050,200 in scientific notation.
We start doing this as:
\(1,050,200=\frac{1,050,200}{1,000,000}\cdot1,000,000=1.0502\cdot1,000,000=1.0502\cdot10^6\)The number between 1 and 10: 1.0502
The power of 10: 6
The number in scientific notation: 1.0502 * 10^6
Which modified box plot represents the data set?
54, 70, 72, 74, 75, 76, 77, 81, 84, 105
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 60 to 89.25 with the vertical bar inside the box at 71.5.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 66 to 89.25 with the vertical bar inside the box at 75.5.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 65 to 84. The box ranges from 70 to 78.5 with the vertical bar inside the box at 74. One dot marks above fifty-four. One dot marks above one hundred and five.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 70 to 84. The box ranges from 71.5 to 81 with the vertical bar inside the box at 75.5. One dot marks above fifty-four. One dot marks above one hundred and five.
Answer:
Step-by-step explanation:
box number two
PLEASE HELP ME PLEASE
A quadrilateral is dilated by a scale factor of b to create a new quadrilateral. The perimeter of the new quadrilateral is 4b times the perimeter of the original quadrilateral.
Is it true or false???
Please answer the question pleasee
Answer:
Figures A and C
Step-by-step explanation:
and then the second question is B
HELP ME PLEASE!!!! Image attached of the work
The probability we want to find is P = 0.27, or 27% in percent form.
How to find the probability?Here we just need to take the quotient between the number of people 40 or older that finished high school and the total of people of that age group.
We can see that the total in that age group is:
T = 3041 + 5355 = 8396
And the ones that finished only highschool are:
N = 745 + 1523 = 2,268
Then the probability is:
P = 2,268/8,396 = 0.27
P = 0.27
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Surgical treatment of a broken arm costs $16,911. You have a $1,000 deductible and then your insurance will pay 85% of the remaining cost. Your insurance also has an out-of-pocket maximum charge of $3,500. What is your cost?
Using proportions, it is found that your cost is of $12,411.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the treatment costs $16,911, with a deductible of $1,000, hence the price is already of $15,911.
The insurance will pay 85% of the remaining cost, or $3,500, whichever is greater, hence:
0.85 x 15911 = $13,524 > $3,500.
Hence, the insurance pays only $3,500, and your cost is given by:
15911 - 3500 = $12,411.
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If c and d are constants, what is the slope of a line that is perpendicular to the line cx + dy - b = 3?
Let's remember the slope-intercept form of a line:
\(y=mx+b\)in which m is the slope and b is the point at which it intercepts the y-axis.
Now, let's make it so the equation we were given is in this form:
\(c\cdot x+d\cdot y-b=3\)\(d\cdot y=3+b-c\cdot x\)\(y=-\frac{c}{d}\cdot x+\frac{3+b}{d}\)With this we can see that the slope of the given line is -c/d.
Given: AB = DC, AC = DB
Prove: AABC= ADCB
Look at the proof. Name the postulate you would use to prove the two triangles are congruent.
Given: AB DC, AC = DB
Prove: AABC= ADCB
AB= DC
Given
AC DB
Given
BC BC
Reflexive Property
of Congruence
AABC ADCB
?
B
D
C
Answer:
by sss
Step-by-step explanation:
Make me a brain-list.The property of congruence:
ΔABC ≅ ΔDCB by the SSS criterion.
The correct option is the SSS postulate.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Given information:
AB ≅ DC and AC ≅ DB.
The proof is given described as:
In triangle ABC and triangle DCB,
The two sides are congruent,
AB ≅ DC and AC ≅ DB ( As per the information provided).
And as per the diagram and reflexive property of congruence,
BC ≅ BC.
Therefore, ΔABC ≅ ΔDCB by the SSS criterion.
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Tom and Susan park at different lots.
To see which lot is busier, they count the numbers of cars in the lots each day as they arrive. Their data are shown in the box plots.
Answer the questions to compare the variabilities of the data sets.
1. What is the interquartile range for Tom's data? Explain how you found the interquartile range. (3 points)
2. What is the interquartile range for Susan's data? (3 points)
3. Whose data are more variable? (4 points)
The interquartile range for Tom's data is 5
Tom and Susan park at different lots.
Tom's IQR :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 9 - 4
IQR = 5
SUSAN :
QR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 8 - 5
IQR = 3
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there are 549 coins in a bottle
one third of the coins are £1 coins
164 of the coins are 50p coins
the rest of the coins are 20p coins
work out the value of the 549 coins in pounds (£)
The value of the 549 coins in pounds (£) is 305.4 .
What is fraction multiply?
Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. The procedure to multiply the fractions are: Multiply the numerator with numerator. Multiply the denominator with the denominator. Simplify the fractions, if required.
Given:
Total coins : 549 coins
one third(1/3) of the coins are £1 coins
164 of the coins are 50p coins
rest of the coins are 20p coins
one third of 549 = 549/3 = 183
Thus ,
£1 coins = 183
50p coins = 164
20p coins = 549 - (183 + 164) = 202
value of the 549 coins in pounds (£) is given by
\(= 549 * \frac{1}{3} * 1 + 164* 0.5 + (549 *\frac{2}{3} - 164)*0.2\\\\= 183 + 82 +40.4\\\\= 305.4\)
Hence , the value of the 549 coins in pounds (£) is 305.4 .
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help me i need this rn
Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register
#1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash
receipts for Saturday?
Answer:
I gotten 17,686.98
Step-by-step explanation:
Hope that helps :)
Describe the steps you can use to find an average of
fractional amounts.
can someone please help with this
All correct proportions include the following:
A. \(\frac{AC}{CE} =\frac{BD}{DF}\)
D. \(\frac{CE}{DF} =\frac{AE}{BF}\)
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.
Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;
\(\frac{AC}{CE} =\frac{BD}{DF}\)
\(\frac{CE}{DF} =\frac{AE}{BF}\)
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use taylor's inequality to determine the number of terms of the maclaurin series for e^x that should be used to esitmate e^0.1 within 0.00001
To estimate\(e^{0.1}\) within an error of 0.00001 using Taylor's inequality, we should use the first 8 terms of the Maclaurin series for \(e^{x}\).
Taylor's inequality provides a bound on the error between an approximation and the actual value of a function using its Taylor series expansion. The inequality states that for a function f(x) and its nth degree Taylor polynomial P_n(x), the error |f(x) - P_n(x)| is bounded by M * |x - a|^(n+1) / (n+1)!, where M is an upper bound for the absolute value of the (n+1)th derivative of f(x) in the interval of interest.
In the case of estimating e^0.1 using the Maclaurin series for e^x, we know that the Maclaurin series expansion of e^x is given by\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + ... + (x^n)/n! + ...\)
To determine the number of terms needed, we need to find the smallest value of n that satisfies the inequality |x^(n+1) / (n+1)!| ≤ 0.00001, where x = 0.1.
By substituting the values of x and M into the inequality, we can solve for n. However, since the calculation involves a recursive process, it is more efficient to use software or a calculator that supports symbolic computation. Using such tools, we find that n = 7 is sufficient to estimate e^0.1 within an error of 0.00001.
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At a workplace 153 of the 225 employees attended a meeting which statement shows values that are all equivalent to the fraction of employees who attended the meeting
ANSWER
A 153/225 = 17/25 =0.68=68%
B 225/153 = 25/17 =1.47=147%
C 153/225 = 51/75 =0.51=51%
D 225/153 = 75/51 =0.75=75%
while logistic regression and classification and regression trees (cart) have the same end goal, each model approaches the goal in a different way. discuss the differences in the two models. provide a specific example of a situation where employing a cart model would be preferable to a logistic regression model. explain what makes the cart model superior in your example.
Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.
Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.
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an integer is randomly chosen from the integers $1$ through $100$, inclusive. what is the probability that the chosen integer is a perfect square or a perfect cube, but not both? express your answer as a common fraction.
The probability that the chosen integer is a perfect square or a perfect cube but not both is therefore 13/100.
When choosing an integer from 1 to 100, there are 10 perfect squares (1² to 10²) and 4 perfect cubes (1³ to 4³). However, the number 1 is both a perfect square and a perfect cube. To avoid counting it twice, we use the formula for the union of two sets: |A∪B| = |A| + |B| - |A∩B|. In this case, |A∪B| represents the number of integers that are either a perfect square or a perfect cube. Plugging in the values, we get |A∪B| = 10 + 4 - 1 = 13. The probability is therefore 13/100.
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Two geometry questions in the attached photos - If I have a line, do I have a plane? & If I have three points, do I always have a plane?
Answer:
18) A: only if you have an additional point not on the line.
19) D: No, because all the points may be on the same line.
Step-by-step explanation:
There are basically 4 ways we can determine a plane and they are;
- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.
- When we have a line and a point that's not on the line
- When we have two lines that intersect each other.
- When we have two lines that are parallel to each other.
From the four conditions above, we can now answer the question;
18) You can only have a plane if there is an additional point not on the line.
Option A
19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.
how to solve this 7/8 n=63
a vector graphic consists of a set of instructions for creating a picture.
Answer:
A vector graphic consists of a set of instructions for creating a picture is a true statement.
Step-by-step explanation:
A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.
These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.
Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.
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Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find the number of days, d, that Elena drove to work last week?
Answer:
ok so the equation will be
35d+28=203
-28
35d=175
divide by 35
d=5
she drove to work 5 times
Hope This Helps!!!
4. A jar of peanut butter has a cylindrical top that is 4 inches in diameter. What is the area of this top?
Answer:
12.56
Step-by-step explanation:
A= pie x radius squared(to the second power, because it is diameter)
A= 3.14 x 4
A= 12.56
hope this helps!
Answer:
A = π × 4 or if you want to substitute pi for 3.14, A = 12.56
Step-by-step explanation:
The area of a circle is A = π × r²
We substitute the of r with 2 (because the radius, r, is half of the circumference)
Next, we square 2, which is equal to 4.
Now, we can substitute π with 3.14 (if that's what the question is asking you to do).
We multiply 4 by 3.14 and get 12.56.
The area, A, is equal to 12.56 in².
Hope this helps!
Two people can sit at the long side of a cafeteria table, and one person can sit at the short side. Tables are pushed together as shown to seat more people. Arrangements for one and two tables are shown. Make a chart to find how many tables will need to be pushed together to seat 16 people.
A. 4 tables
B. 5 tables
C. 6 tables
D. 7 tables
Answer:
b
Step-by-step explanation:
just count by threes hope this is help for
Answer:
C. 6 tables
Step-by-step explanation: