Answers
Answer: y = |x - 1| - 1
Step-by-step explanation:
We will use this form of absolute value equations. a is the slope, which is 1. h is the horizontal shift and k is the vertical shift.
y = a|x - h| + k
First, we see this graph is shifted one unit down from the parent function (absolute value). We will subtract 1 from the parent function.
y = |x| - 1
Next, we see it is shifted one unit right from the parent function. We will add this to the equation above. Since we are adding one unit, we will subtract one unit as it's reversed (" -h" in the equation above).
y = |x - 1| - 1
Related Questions
Translate the triangle then enter the new coordinates
Answers
The coordinates of the triangle after translation would be A'(-2,3), B'(-1,1), and C'(-4,0).
To translate the triangle by a shifting factor of [-5,3], we need to move each point of the triangle horizontally by 5 units to the left (subtract 5 from the x-coordinate) and vertically by 3 units upwards (add 3 to the y-coordinate).
Let's take the point A(3,0) as an example. To obtain the new coordinates A', we need to subtract 5 from the x-coordinate and add 3 to the y-coordinate
A' = (3 - 5, 0 + 3) = (-2, 3)
Similarly, for point B(4,-2), we get
B' = (4 - 5, -2 + 3) = (-1, 1)
For point C(1,-3), we get
C' = (1 - 5, -3 + 3) = (-4, 0)
Therefore, the new coordinates of the triangle would be A'(-2,3), B'(-1,1), and C'(-4,0).
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what is the interpretation of r-square?87% of the movement in unleaded gas price can be explained by the changes in crude oil price.87% of the movement in crude oil price can be explained by the changes in unleaded gas price.87% of the time this forecasting model will correctly predict the price of unleaded gas.the sum of squared errors is close to 87%.
Answers
The interpretation of R-square in this simple regression model is that 87% of the variation in the dollar price of unleaded gas can be explained by the variation in the dollar price of crude oil, which is option A.
R-square is a measure of how much of the variability in the dependent variable (dollar price of unleaded gas) is explained by the independent variable (dollar price of crude oil).
An R-square of 0.87 means that 87% of the variation in the dependent variable can be explained by the independent variable. Therefore, option A correctly interprets the meaning of R-square in this regression model.
Option B is incorrect as it suggests the opposite relationship, and option C is incorrect as it refers to the sum of squared errors, not the R-square. Option D is also incorrect as R-square does not measure the accuracy of the forecasting model.
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--The given question is incomplete, the complete question is given
" Consider the following results of a simple regression model of dollar price of unleaded gas (dependent variable) and dollar price of crude oil independent variable): If the Table Does not display, this is the data: Coefficient T Stats Intercept Crude Oil 0.56 0.0457 28.27 73.34 Icoefficient Ilt-statistics Intercept 10.56 28.27 Crude Oil 0.0457 73.34 R-square - 0.87 What is the interpretation of R-square? O a. 87% of the movement in crude oil price can be explained by the changes in unleaded gas price. 6.87% of the movement in unleaded gas price can be explained by the changes in crude oil price O c. the sum of squared errors is close to 8796. O d.87% of the time this forecasting model will correctly predict the price of unleaded gas."--
i need help with this question please help
Answers
Answer:
-4.740
Step-by-step explanation:
sum if infinite geometric series
S= 243/5
What is the slope of the line that contains the points (−3, −1) and (3, 3)? Undefined 0 two thirds three halves
Answers
The slope of the line passing through (-3, -1) and (3, 3) is 2/3, which is found using the slope formula that calculates the change in y over the change in x.
To find the slope of the line that contains the points (-3, -1) and (3, 3), we can use the slope formula
slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)
Substituting the values of the given points, we get
slope = (3 - (-1))/(3 - (-3))
slope = (3 + 1)/(3 + 3)
slope = 4/6
slope = 2/3
Therefore, the slope of the line that contains the points (-3, -1) and (3, 3) is 2/3.
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In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 5 feet of fence for the shortest side and 13 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen? 12 feet 14 feet 30 feet 32 feet
Answers
Answer:
32 feet
Step-by-step explanation:
To do this, we can use the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In other words:
a^2 + b^2 = c^2
where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.
Plugging in the given values, we get:
5^2 + 13^2 = c^2
25 + 169 = c^2
194 = c^2
c = sqrt(194)
Using a calculator, we can approximate c to be about 13.93 feet.
Therefore, the total amount of fencing needed for the entire animal pen is:
5 + 13 + 13.93
31.93 feet
Answer:Therefore, Shar needs 30 feet of fencing for the entire animal pen. So the answer is 30 feet.
Step-by-step explanation:
To find the length of the third side, we can use the Pythagorean theorem, which states that for a right triangle with legs a and b, and hypotenuse c:
a^2 + b^2 = c^2
In this case, the shortest side is 5 feet and the longest side is 13 feet, so we can set up the equation:
5^2 + b^2 = 13^2
Simplifying:
25 + b^2 = 169
b^2 = 144
b = 12
So the length of the third side is 12 feet. To find the total length of fencing needed, we add up the lengths of all three sides:
5 + 12 + 13 = 30
Therefore, Shar needs 30 feet of fencing for the entire animal pen. So the answer is 30 feet.
helpppppp plllssss asap
Answers
Answer:
answer will be B or C try doing the calculation method that was thought to you
Answer: B, C , E, F
Step-by-step explanation:
Each letter corresponds to the letter of the other triangle
So they have to be in same places
I need the answer and explanation for this geometry problem. (this is not a live quiz, test, or exam question, just to clarify)
Answers
The probability of,
picking a black retriever and then a brown hound is 15/144picking a blue marble at first, replacing it, and then picking another blue marble is 9/25.i) Given that there are 5 black retrievers, 3 brown hounds, and 4 black setters.
Total number of dogs = 5 + 3 + 4 = 12
Probability of getting a black retriever =
number of black retrievers / total number of dogs = 5/12.
Probability of getting a brown hound =
number of brown hounds / total number of dogs = 3/12.
Now, the probability of picking a black retriever and then a brown hound = probability of getting a black retriever x probability of getting a brown hound = 5/12 x 3/12 = 15/144.
ii) Given that there are 3 blue marbles and 2 red marbles.
Total number of marbles = 3 + 2 = 5
Probability of picking a blue marble =
number of blue marbles / total number of marbles = 3/5
Similarly, the probability of picking another blue marble is also = 3/15
Now, the probability of picking a blue marble at first, replacing it, and then picking another blue marble = 3/5 x 3/5 = 9/25.
From the above solution, we solved both problems.
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PART 1
John is saving money to buy a car. He takes $8,000 to the bank and opens an annual CD upon which the bank agrees to pay him 2% interest.
Principal = 8000
Term = 1 year
APR = 2% = 0.02
8000 x 0.02 = $160
8000 + 160 = $8,160
Beginning Balance
2% Interest
Ending Balance
$8,000.00
$160
$8,160
After one year, Michael earned $160 in interest on his initial deposit of $8,000, so his balance is now $8,160.
Calculate the Annual interest below (first image):
PART B:
Now, let’s say John leaves his money in the bank for four years. The term of the annual CD is four years, so he will be earning 2% interest per year for four years. Since this is an annual CD, interest will be added to the principal at the end of every year. This is called annual compounding. Complete the following table (2nd Image), filling in the cells for years 5 through 10.
Answers
John will earn an annual interest of $500 on a beginning balance of $10,000 at a rate of 5% per year. After one year, the ending balance will be $10,500. John earned $160 in interest after leaving his initial deposit of $8,000 in the bank for first year with annual compounding at a 2% interest rate. His ending balance was $8,160. The table shows his ending balance for years 5-10.
Here, we have,
We can use the formula for simple interest to calculate the annual interest earned by John on a balance of $10,000 at a rate of 5% per year
Annual interest = (Principal x Rate x Time) / 100
where Principal is the beginning balance, Rate is the interest rate, and Time is the duration of investment in years.
Substituting the given values, we get
Annual interest = (10000 x 5 x 1) / 100 = $500
Therefore, the annual interest earned by John on a balance of $10,000 at a rate of 5% per year is $500.
Ending balance after one year = Beginning balance + Annual interest = $10,000 + $500 = $10,500.
since the term of the annual CD is four years, and John will leave his money in the bank for four years, we can calculate the ending balance at the end of each year using the formula above.
For year 5
P = $8,160
r = 0.02
n = 1
t = 1
A = $8,160 (1 + 0.02/1)^(1x1) = $8,324.80
For year 6
P = $8,324.80
r = 0.02
n = 1
t = 1
A = $8,324.80 (1 + 0.02/1)^(1x1) = $8,492.78
For year 7
P = $8,492.78
r = 0.02
n = 1
t = 1
A = $8,492.78 (1 + 0.02/1)^(1x1) = $8,664.28
For year 8
P = $8,664.28
r = 0.02
n = 1
t = 1
A = $8,664.28 (1 + 0.02/1)^(1x1) = $8,839.44
For year 9
P = $8,839.44
r = 0.02
n = 1
t = 1
A = $8,839.44 (1 + 0.02/1)^(1x1) = $9,018.34
For year 10
P = $9,018.34
r = 0.02
n = 1
t = 1
A = $9,018.34 (1 + 0.02/1)^(1x1) = $9,201.05
Therefore, the table for years 5 through 10 would look like
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I need the answer and explanation for this geometry problem. (this is not a live quiz, test, or exam question, just to clarify)
Answers
The probability of drawing a w both times would be C. 1 / 676.
The probability of rolling those numbers would be 3 / 36 = 1 / 12
.
How to find the probability ?Addressing the first inquiry, the chances of pulling out a w on the initial draw is 1/26. Armed with the knowledge that the alpha is subsequently reinstated, then there is also a probability of 1/26 to draw a w on the second try.
Subsequently, drawing a w both times entails a likelihood of (1/26) multiplied by (1/26), equaling 1/676.
For the subsequent enquiry, as each cube heave holds six potential outcomes, two such occasions result in 6 times 6, or 36 potential results. The odds for flicking a 6 on the very first cube is 1/6, and those for tossing an uneven number on the subsequently toss is 1/2 since three of the six numbers would be odd. For these two circumstances co-occurring together, the probability is reduced logically to (1/6) multiplied by (1/2), amounting to 1/12 in total.
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How many 3-inch-long sections can be cut from a 2-meter-long piece of wire?
Answers
Therefore, the number of 3-inch-long sections that can be cut from a 2-meter-long piece of wire is approximately 26.25 (200 ÷ 7.62 = 26.25). However, since you can’t cut a partial section, the actual number of sections that can be cut from the wire is 26.
Don receives a weekly allowance of $4.50. How much
allowance does he receive in a year (52 weeks)?
Answers
what are outliers and how can the sigmoid function mitigate the problem of outliers in logistic regression?
Answers
Outliers are observations in a dataset that significantly deviate from the majority of the data points. These observations can affect the statistical analysis, as they can skew the results or increase the error in the model.
In logistic regression, outliers can be problematic as they can cause the model to overfit or underfit the data. Overfitting occurs when the model is too complex and captures noise or outliers in the data, while underfitting occurs when the model is too simple and cannot capture the underlying patterns in the data.
The sigmoid function used in logistic regression can mitigate the problem of outliers by compressing extreme values in the data towards the middle of the function. The sigmoid function is a curve that approaches 0 or 1 as the input value becomes very negative or very positive, respectively. This means that extreme values in the data will be transformed to values closer to 0 or 1, which can reduce the influence of outliers on the model.
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y = 2x + 6
6x – 7y = −18
Answers
To solve the system of equations:
Y = 2x + 6 ...(1)
6x – 7y = −18 ...(2)
We can substitute equation (1) into equation (2) for y:
6x - 7(2x + 6) = -18
Simplifying, we get:
6x - 14x - 42 = -18
-8x = 24
x = -3
Now, we can substitute x = -3 into equation (1) to find y:
y = 2(-3) + 6
y = 0
Therefore, the solution to the system of equations is:
x = -3, y = 0.
What is the value of x?
3/5x (fraction) - 1/3x = x - 1
Answers
Answer: [tex]x=\frac{15}{11}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} x-\frac{1}{3}x=x-1[/tex]
1. Find the common denominator, which is 15
2. Multiply each denominator to get 15
[tex]\frac{9}{15} x-\frac{5}{15}x=x-1[/tex]
3. Combine like terms
[tex]\frac{4}{15} x=x-1[/tex]
4. Subtract x from the right
[tex]\frac{4}{15} x-x=1[/tex]
5. Combine the terms
[tex]-\frac{11}{15} x=-1[/tex]
6. Multiply both sides by 15 to remove the fraction
[tex]-11x=-15[/tex]
7. Divide both sides by -11
[tex]x=\frac{15}{11}[/tex]
What is the most specific name for the figure?
P(0, 0)
Q(0, 2a)
R(2a, 2a)
S(2a, 0)
A. Rectangle
B. Square
C. Parallelogram
D. Rhombus
Answers
3(8p-1) = -32 - 5
Please finish completely
Answers
The solution to the equation 3( 8p - 1 ) = -32 - 5 is p = -17/12
What is the solution to the given equation?Given the equation in the question:
3( 8p - 1 ) = -32 - 5
To determine the solution, we simplify the left-hand side first by using the distributive property:
3(8p - 1)
3×8p -3×1
24p - 3
Now we can substitute this expression into the original equation:
24p - 3 = -32 - 5
Next, we'll add 3 to both sides:
24p = -32 - 5 + 3
24p = -34
Finally, we'll divide both sides by 24 to isolate p:
p = -34/24
Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor of 2, we get:
p = -17/12
Therefore, the solution is p = -17/12.
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a dentist is interested to know if new fluoride toothpaste affects the number of cavities in patients. assuming conditions are met, in which situation could the dentist use a hypothesis test for a difference in two population means? group of answer choices
Answers
The dental specialist might utilize a speculation test for contrast in two populace implies in case they were comparing the number of cavities.
patients who utilized the unused fluoride toothpaste to the number of cavities in patients who utilized standard toothpaste.
In this case, the dentist was interested in having two independent groups (patients with new fluoride toothpaste and patients with standard toothpaste) and comparing the average number of caries in each group.
If the hypothesis test conditions for the difference between the two population means are met (e.g., normality and equal variance),
the dentist performs her t-test to find statistics that can determine whether there is a significant difference between the two groups.
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One leg of a right triangle is 9 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number. 25 units 18 units 13 units 3 units
Answers
Answer:
the length of the other leg is 13 units.
Step-by-step explanation:
The formula is:
a² + b² = c²
where a and b are the lengths of the legs and c is the length of the hypotenuse.
To find the length of the other leg, you can use the following steps1:
Identify the given values and plug them into the formula. In this case, you know that one leg is 9 units long and the hypotenuse is 16 units long. Let a = 9 and c = 16. Then you have:
9² + b² = 16²
Simplify and solve for b. To do this, you need to isolate b by subtracting 9² from both sides and then taking the square root of both sides. You get:
b² = 16² - 9² b² = 256 - 81 b² = 175 b = √175
Round to the nearest whole number. Since √175 is not a whole number, you need to round it to the nearest integer. You can use a calculator to find that √175 is approximately 13.23. The closest whole number is 13, so you round down.
Step-by-step explanation:
use Pythagorean theorem
c = 16
a = 9
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {b}^{2} = {16}^{2} \\ 81 + {b}^{2} = 256 \\ {b}^{2} = 175 \\ b \: = 13.22 \\ [/tex]
or you can round it to 13
#CMIIWA truck carrying 4.2 pounds of sand travels to a construction yard and loses 2.17 pounds of sand along the way. How much sand does the truck have when it arrives at the yard?
Answers
Explanation:
4.2 - 2.17
= 2.03
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 19 inches long, and the height of the equilateral triangle is 16.5 inches. The pyramid's slant height is 16 inches. What is its surface area?
Answers
The surface area of the triangular pyramid is approximately 684.77 square inches.
To find the surface area of the triangular pyramid, we need to calculate the area of each of its four triangular faces and then add them together.
First, we need to find the area of the equilateral triangular base. The area of an equilateral triangle with side length "s" is given by
Abase = ([tex]\sqrt{3/4}[/tex]) x [tex]s^{2}[/tex]
Substituting s = 19 inches, we get
Abase = ([tex]\sqrt{3/4}[/tex]) x [tex]19^{2}[/tex]
Abase = 166.89 square inches
Next, we need to find the area of each of the triangular faces. Each triangular face has base length 19 inches, and its height can be found using the Pythagorean theorem, since we know the slant height and the height of the equilateral triangle.
Let's call the height of the equilateral triangle "h". From the Pythagorean theorem, we know that
[tex]slant height^{2}[/tex] = (1/4) x [tex]s^{2}[/tex] + [tex]h^{2}[/tex]
Substituting s = 19 inches and slant height = 16 inches, we can solve for h
[tex]16^{2}[/tex] = (1/4) x [tex]19^{2}[/tex] + [tex]h^{2}[/tex]
256 = 90.25 + [tex]h^{2}[/tex]
h = 13.03 inches
Now we can calculate the area of each triangular face
Aface = (1/2) x base x height
Aface = (1/2) x 19 x 13.03
Aface = 123.69 square inches
Finally, we can calculate the surface area of the pyramid
Surface Area = Abase + 4 x Aface
Surface Area = 166.89 + 4 x 123.69
Surface Area = 684.77 square inches
Therefore, the surface area of the triangular pyramid is approximately 684.77 square inches.
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A student starts a walk at (−7, −9). If the student walks 3 miles north, south, east, or west, which of the following could be their location at the end of the walk? (−10, −9), (−4, −9), (−7, −6), (−7, −12) (−9, −7), (−12, −7), (−4, −6), (−10, −6) (−7, 3), (−7, −12), (−4, −9), (3, −9) (3, −9), (6, −9), (−7, −4), (−7, −12)
Answers
The possible end locations of the student are (-4, -9), (-10, -9), (-7, -12), and (-7, -6).
To determine which of the given points could be the end location of the student, we need to consider the possible directions the student could have walked in terms of changes in the x and y coordinates.
Starting at (-7, -9), if the student walks 3 miles north, the y-coordinate increases by 3 to -6. Similarly, if the student walks 3 miles south, the y-coordinate decreases by 3 to -12. If the student walks 3 miles east, the x-coordinate increases by 3 to -4, and if the student walks 3 miles west, the x-coordinate decreases by 3 to -10.
Based on these possible movements, we can eliminate some of the answer choices. For example, (3, -9), (6, -9), (-7, -4), and (-7, 3) are all more than 3 units away from the starting point and thus cannot be the end location.
To determine the remaining possibilities, we can compare the remaining answer choices to the changes in x and y coordinates that result from walking 3 miles in one of the four cardinal directions. The only options that match up with these changes are (-4, -9), (-10, -9), (-7, -12), and (-7, -6).
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what is the equation for the idealized regression line? label each part of the equation. what is the equation for the least-squares regression line? label each part of the equation. what are the four assumptions and conditions that must be met in order to perform inference for regression? explain how to check each one. what three aspects of the scatterplot affect the standard error of the regression slope? what is the formula for the standard error for the slope? what is the formula for the sampling distribution for regression slopes? show and explain formulas. if there is no association between two variables, what should be the value of the slope of the regression line?
Answers
The idealized regression line is y = β₀ + β₁x + ε, and the least-squares regression line is Y = b₀ + b₁x. Four assumptions for regression inference are linearity, independence, homoscedasticity, and normality. The standard error of the regression slope is affected by the spread, sample size, and relationship strength. The formula for the standard error of the slope is SEb₁ = √[ Σ([tex]y_i - Y_i[/tex])² / (n-2) ] / √[ Σ([tex]x_i[/tex] - X)² ]. If there is no association between two variables, the slope of the regression line should be zero.
There are two equations commonly used in regression analysis: the idealized regression line and the least-squares regression line.
The equation for the idealized regression line is
y = β₀ + β₁x + ε
where
y is the dependent variable
x is the independent variable
β₀ is the intercept
β₁ is the slope
ε is the error term
The equation for the least-squares regression line is
Y = b₀ + b₁x
where
Y is the predicted value of y
x is the independent variable
b₀ is the intercept
b₁ is the slope
There are four assumptions and conditions that must be met in order to perform inference for regression
The relationship between the independent variable and dependent variables is called Linearity . To check linearity, plot the dependent variable against the independent variable and look for a straight-line pattern.
Independence, The observations are independent of each other. To check independence, ensure that there is no relationship between the residuals (the difference between the observed value and the predicted value) and any other variables.
The constant variance of errors across independent variable of all level is called homoscedasticity. To check homoscedasticity, plot the residuals against the predicted values and look for a consistent spread of points around zero.
Normality, The errors are normally distributed. To check normality, plot a histogram of the residuals and look for a roughly bell-shaped distribution.
The formula for the standard error for the slope is
SEb₁ = √[ Σ([tex]y_i[/tex]- [tex]Y_i[/tex])² / (n-2) ] / √[ Σ([tex]x_i[/tex] - X)² ]
where
[tex]y_i[/tex], observed value of variable which is dependent for the ith observation
[tex]Y_i[/tex] is the predicted value of the dependent variable for the ith observation
[tex]x_i[/tex], the observed value of variable which is independent for the ith observation
X is the mean of the independent variable
n is the sample size
The formula for the sampling distribution for regression slopes is
b₁ ~ N(β₁, σ² / Σ([tex]x_i[/tex] - X)²)
where
b₁, least-squares regression line's slope
β₁ is the true population slope
σ² is the variance of the errors
If there is no association between two variables, the slope of the regression line should be zero. it depicts that the variable which is independent has no effect on the variable which is dependent.
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Dylan's net worth is -$750.25. His assets are $4,592.35. What are Dylan's liabilities based on this information?
Answers
Answer: $3,842.1
Step-by-step explanation:
-$750.25 + $4,592.35 = $3,842.1
A hat company wants to create a cylindrical travel case to protect its beach sun hats using the following pattern.
net drawing of a cylinder is shown as two circles with diameters labeled 15 inches and a rectangle with a height labeled 5 inches
How many square inches of leather will be necessary to create the travel case? Approximate using π = 3.14.
412.13 square inches
588.75 square inches
1,648.5 square inches
1,884 square inches
Answers
The surface area of a cylinder is given by the formula:
A = 2πr² + 2πrh
where r is the radius of the circular base, h is the height of the cylinder, and π is the mathematical constant pi, which is approximately equal to 3.14.
In this case, we are given that the cylinder has a diameter of 15 inches, so the radius is 7.5 inches (half of the diameter). We are also given that the height of the cylinder is 5 inches. Using these values in the formula, we can calculate the surface area of the cylinder as:
A = 2π(7.5)² + 2π(7.5)(5)
= 2π(56.25) + 2π(37.5)
= 2(π)(93.75)
= 187.5π
≈588.75
Therefore,
we need approximately 588.75 square inches of leather to create the travel case.
List the sample space for rolling a fair eight-sided die.
S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
Answers
Answer:
S = {1, 2, 3, 4, 5, 6, 7, 8} this is the answer
Please help!! Consider the pros and cons of investing in a certificate of deposit versus a mutual fund. Which investment would you choose as the best option if you wanted to get the highest rate of return? Why?
Answers
Answer: CDs are low-risk, low-return investments that are best suited for people looking to save money over the short term or those who want to avoid any kind of risk. Mutual funds offer higher potential returns, along with higher risks, making them best suited for long-term investors who can ride out price fluctuations.
Step-by-step explanation: Hope this helps
Certificates of deposit are safer but offer lower returns, while mutual funds carry higher risk but potentially higher returns. For the highest return, mutual funds may be preferable. But the decision should be based on one's risk tolerance and investment strategy.
Explanation:Certificates of deposit (CDs) and mutual funds are both viable investment options, but they differ greatly. CDs are considered safer as they often guarantee a certain rate of return after a fixed period. On the contrary, mutual funds carry higher risk, but they potentially offer a higher return as they are linked to the stock market's performance.
If the highest rate of return is your primary goal, typically, a mutual fund might be a better option. This prospect carries inherent stock market risk, but the return can be substantially higher when compared to a CD. However, it is important to understand the potential risks and make sure it meshes well with your overall risk tolerance and investment strategy.
Remember that investment decision should be made on an individual basis and it's always advisable to consult with a financial adviser.
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100 Points
How many solutions does this system of equations have?
Answers
Answer:
A) No real solutions--------------------
Given system:
y = x² + x + 3y = - 2x - 5Equate the right sides to get a quadratic equation:
x² + x + 3 = - 2x - 5x² + 3x + 8 = 0The discriminant of ax² + bx + c = 0 is D = b² - 4ac.
Substitute a = 1, b = 3, c = 8 and find the value of D:
D = 3² - 4*1*8 = 9 - 32 = - 23Since D < 0, there is no real solution, hence the correct choice is A.
In a recent year, 17.3% of all registered doctors were female. If there were 48,800 female registered doctors that year, what was the total number of registered doctors?
Answers
17.3/100 = 48,800/x
where x is the total number of registered doctors.
Solving for x:
x = (48,800 x 100) / 17.3
x = 281,791.91
Therefore, the total number of registered doctors in that year was approximately 281,792.
A large company has operated assuming that the rate of absenteeism is the same for each day of the week. The new human resources director at the company claims that the assumption is false and that the rate of absenteeism is different for some days of the week as compared with others. To test the claim, a random sample of 150 absences was selected, and the day of the week on which the absence occurred was recorded. The counts are shown in the following table. Monday Tuesday Wednesday Thursday Friday Number of Absences 40 27 21 34 28 The appropriate chi-square test will be performed to test the claim. What is the contribution of the Monday absences to the calculation of the chi-square test statistic? Responses
Answers
The contribution of Monday absences to the chi-square test statistic comes up to (100 / 30) ≈ 3.33.
How to solve
In order to calculate the contribution of Monday absences to the chi-square test statistic, these steps must be taken:
First, determine the expected volume of absences in each day based on an equal rate of absenteeism (150 total absences / 5 days = 30 absences/day).
Next, find out the divergence between the computed (40) and projected (30) absences for Monday.
Then, raise the difference (40 - 30)^2 = 100.
Finally, divide that squared difference by the estimated value (100 / 30).
As a result, the contribution of Monday absences to the chi-square test statistic comes up to (100 / 30) ≈ 3.33.
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lol same type thing but diff question
Answers
Answer:
18
Step-by-step explanation:
3/4 * 24 = (3*24)/4
18 = 72 : 4
18 = 18
