In conducting a multiple regression analysis to predict the extent to which a first date was successful, three predictor variables that could be selected are: Communication Skills (x1), Compatibility (x2) and Physical Attractiveness (x3)
Communication Skills (x1): This variable measures the individual's ability to effectively communicate and engage in conversation during the date. It can be weighed based on ratings or self-reported scores related to communication abilities.
Compatibility (x2): This variable assesses the level of compatibility between the individuals involved in the date. It can be weighed using a compatibility index or a scale that measures shared interests, values, and goals.
Physical Attractiveness (x3): This variable captures the perceived physical attractiveness of the individuals. It can be weighed based on ratings or subjective assessments of physical appearance, such as attractiveness ratings on a scale.
Each of these variables can be assigned a weight (β1, β2, β3) during the regression analysis to determine their relative contribution in predicting the success of a first date. The weights represent the regression coefficients and indicate the strength and direction of the relationship between each predictor variable and the outcome variable (extent of success). The regression analysis will provide estimates of these weights based on the data, allowing for an evaluation of the significance and impact of each predictor variable on the success of a first date.
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Priti invests £6500 in a savings account for 5 years.
The account pays simple interest at a rate of 2.2% per year.
Work out the total amount of interest Priti gets by the end of the 5 years.
Answer:
£143
Step-by-step explanation:
6500 ÷ 5 = 1300
1300 × 2.2 ÷ 100 = 28.6
28.6 x 5 = 143
Which of the following is an EQUATION?
A: 20(p + 2) + 16(-3 - p)
B: -10 + 2
C: 6x + 4 - 2x = 20
D: 9m + 4 - 7m + 4m²
Answer:
C
Step-by-step explanation:
An equation is where you already have the answer but you have to find out what the variable is to prove that the equation is true.
use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
Let's consider that s be the length of a side of the regular pentagon.
The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm
Also,
we have the formula for the area of a regular pentagon as:
\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)
where a is the length of a side of the pentagon.
In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.
Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)
Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.
In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
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Find the area of a circle with diameter of 8cm use the value 3.14 for pie and do not round awnser
The area of a circle with a radius r is given by the following formula:
\(A=\pi\cdot r^2\)In this case we know that the diameter is 8cm which means that its radius is 4cm. Using 3.14 for pie we get:
\(\begin{gathered} A=3.14\cdot(4cm)^2 \\ A=3.14\cdot16cm^2=50.24cm^2 \end{gathered}\)AnswerThen the answer is 50.24 cm².
a drawer contains 20 socks. 10 are black. 6 are blue. 4 are red. two socks are taken out at random. what is the probability that one is blue and one is red?
Chance is also referred to as probability and the probability that one is blue and one is red is 4/19
probability = Number of event/Total samples space
If there are 10 black socks,20 white socks,2 red socks, and 6 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 10+20+2+6
Sample space = 38
Total number of blue and red socks is the event
Number of event one blue and one red = 8 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is one red and one blue = 8/38
Chance that the socks is red and blue = 4/19
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By graphing the system of constraints, and using the values of x and y that minimize the objective function, find the minimum value.
5x + y >= 10
x + y <= 6
x + 4y >= 12
x >= 0
y >= 0
minimum for C = 10,000x + 20,000y
A. C = 24,540
B. C = 67,370
C. C = 45,610
D. C = 31,440
Answer:
minimum for given function C=10,000x + 20,000y is 67,380.
Step-by-step explanation:
PLEASE HELP
A mouse is trapped in a maze. To find his way out, he walks 15 m, makes a 90° left turn, walks 8 m, makes another 90° left turn, and walks 10 m. What is the magnitude of the resultant vector?
Find the Maclaurin series of the function: (4x^2)*e^(-5x) and its coefficients C0 toC4
Answer:
C0 = 1, C1 = -20x^2, C2 = 100x^4, C3 = -666.67x^6, C4 = 6666.67x^8.
Step-by-step explanation:
We can use the Maclaurin series formula for the exponential function and then multiply the resulting series by 4x^2 to obtain the series for (4x^2)*e^(-5x):e^(-5x) = ∑(n=0 to ∞) (-5x)^n / n!
Multiplying by 4x^2, we get:
(4x^2)*e^(-5x) = ∑(n=0 to ∞) (-20x^(n+2)) / n!
To get the coefficients C0 to C4, we substitute n = 0 to 4 into the above series and simplify:
C0 = (-20x^2)^0 / 0! = 1
C1 = (-20x^2)^1 / 1! = -20x^2
C2 = (-20x^2)^2 / 2! = 200x^4 / 2 = 100x^4
C3 = (-20x^2)^3 / 3! = -4000x^6 / 6 = -666.67x^6
C4 = (-20x^2)^4 / 4! = 160000x^8 / 24 = 6666.67x^8
Therefore, the Maclaurin series for (4x^2)*e^(-5x) and its coefficients C0 to C4 are:
(4x^2)*e^(-5x) = 1 - 20x^2 + 100x^4 - 666.67x^6 + 6666.67x^8 + O(x^9)
C0 = 1, C1 = -20x^2, C2 = 100x^4, C3 = -666.67x^6, C4 = 6666.67x^8.
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Tammy earns $81 washing 9 cars. At this rate, how much does Tammy earn washing 5 cars?
Tammy will earn $
washing cars.
Tammy will earn $45 for washing the 5 cars.
What is Proportional?A relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Tammy earns $81 washing 9 cars.
Now, At this rate,
Tammy will earn for washing the 5 cars is, x
Hence, We can formulate by definition of proportion,
⇒ 81/9 = x/5
⇒ 9 × 5 = x
⇒ x = $45
Hence, Tammy will earn $45 for washing the 5 cars.
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please help me for my mathematics class, thank you
Does this shape have rotational, reflection, both or none
sara estimates that they will sell approximately 400 pizzas next week. About how much tomato sacue and cheese should she order to be prepared for next week? Show your work clearly. Write an equation that relates t
Answer:
5/9-2/12=?
9x8=72
5x8=40
12x6=72
2x6=12
40/72 - 12/72 = 28/72
28/4=7
72/4=18
28/72=7/18
Measure the distance across the sunflower
to the nearest
centimeter.
How many
centimeters
shorter than 1 meter
is the width of the sunflower?
Answer:
Step-by-step explanation:
Theres no coresponding photo provided but maybe if you look at the graph and see the length width measurements proportional to the numbres youll then see the correlation for the sunflower.
So ya hope this helped you or whatever
Bye now Thanks
Answer:
100cm
Step-by-step explanation:
1x100=100
The volume of the create is 48 cubic feet, The base area of the create is 16 squre feet, Whats the height
Answer:
3 feet :)
Step-by-step explanation:
To find the height of the create, you can use the formula for volume of a rectangular prism, which is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. Since you are given the volume and the base area, you can solve for the height using the following steps:
Substitute the given values into the formula for volume: V = lwh = 48 cubic feet.
Substitute the given value for the base area: lw = 16 square feet.
Solve for the length by dividing the base area by the width: l = 16/w.
Substitute the expression for length from Step 3 into the formula for volume in Step 1: V = 16h/w.
Solve for the height by multiplying both sides of the equation by w/16 and simplifying: h = V/(16/w) = Vw/16.
Therefore, the height of the crate can be calculated as h = 48/16 = 3 feet.
Answer:
3 feet
Step-by-step explanation:
*Mathematics - Worth 20 Points* Kareem cannot decide which of two washing machines to buy. The selling price of each is $720. The first is marked down by 50%. The second is marked down by 30% with an additional 20% off. Find the sale price of each washing machine.
Answer:
see explantion
Step-by-step explanation:
The selling price is $495.
The first washing machine:
- is marked down by 30%
$495 - 100%
$x - 100% - 30% = 70%
Find the value of x:
The second washing machine:
- is marked down by 20% with an additional 10% off
$495 - 100%
$y - 100% - 20% = 80%
Find y:
Now,
$396 - 100%
$z - 100% - 10% = 90%
Find z:
Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.
The picture below shows a right-triangle-shaped charging stand for a gaming system:
Answer:
3(tan 50°)
Step-by-step explanation:
I don't really get the question tho...
Hopefully it helps, tho!
A 10 meter long ribbon is distributed among 10 girl's. Find the share of each.
Step-by-step explanation:
well if it's 10 meters and 10 you would divide 10 by 10 and get 1 meter letting every girl have 1 meter of ribbon
Answer:
Hi how are you doing Jasmine
vector a~ is 2.07 units long and points in the positive y direction. vector b~ has a negative x component 6.29 units long, a positive y component 2.17 units long, and no ~z component. find a~ · b~ .
The dot product of a~ and b~ is -12.98. To find the dot product of vectors a~ and b~, we need to calculate the product of their corresponding components. Given that vector a~ is 2.07 units long and points in the positive y direction, and vector b~ has a negative x component (-6.29 units), a positive y component (2.17 units), and no z component, we can determine their dot product.
The dot product of two vectors is found by multiplying their corresponding components and summing the results. In this case, vector a~ has no x or z component, so we only need to consider the y component. Since a~ points in the positive y direction and has a magnitude of 2.07 units, its y component is 2.07.
Vector b~ has a negative x component of -6.29 units and a positive y component of 2.17 units. Since there is no z component mentioned, we can assume it is zero.
To find the dot product, we multiply the corresponding components of a~ and b~: \(a_y \cdot b_x + a_y \cdot b_y + a_y \cdot b_z = 2.07 \cdot 0 + 2.07 \cdot (-6.29) + 2.07 \cdot 0 = -12.98\).
Therefore, the dot product of a~ and b~ is -12.98.
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For the probability density function, over the given interval, find E(X), E(X?), the mean, the variance, and the standard deviation. f(x) = 1 b-a' over [a,b]
The value of variance in the above formula: σ(X) = √(b-a) / √12. This is our standard deviation (σ(X)).
The probability density function, over the given interval, can be found using the formula below:
f(x) = 1 / (b - a) over [a, b]
Let's start with finding the expected value (E(X)).
Formula for E(X):
E(X) = ∫xf(x)dx over [a, b]
We can substitute f(x) with the formula we obtained in the question.
E(X) = ∫x(1/(b-a))dx over [a, b]
Next, we can solve the above integral.
E(X) = [x²/2(b-a)] between limits a and b, which simplifies to:
E(X) = [b² - a²] / 2(b-a) = (b+a)/2
This is our expected value (E(X)).
Next, we will find the expected value (E(X²)).
Formula for E(X²):E(X²) = ∫x²f(x)dx over [a, b]
Substituting f(x) in the above formula: E(X²) = ∫x²(1/(b-a))dx over [a, b]
Solving the above integral, we get:
E(X²) = [x³/3(b-a)] between limits a and b
E(X²) = [b³ - a³] / 3(b-a)
= (b² + ab + a²) / 3
This is our expected value (E(X²)).
Now we can find the variance and standard deviation.
Variance: Var(X) = E(X²) - [E(X)]²
Substituting the values we have found:
Var(X) = (b² + ab + a²) / 3 - [(b+a)/2]²
Var(X) = (b² + ab + a²) / 3 - (b² + 2ab + a²) / 4
Var(X) = [(b-a)²]/12
This is our variance (Var(X)).
Standard deviation: σ(X) = √Var(X)
Substituting the value of variance in the above formula:
σ(X) = √(b-a) / √12
This is our standard deviation (σ(X)).
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Eli's bill at a restaurant is $54.00 before tax. He decides to leave a 20% tip. The tax rate is 8%. Which statements are correct? A) Tax on the bill is $4.32. B) The total bill is $69.12. C) The total bill is $71.28. D) Tax on the bill is $12.96. E) Eli tips the waiter $10.80.
Answer:
the correct answer would be 10.8
Answer:
ok the correct answer are $4.32, 69.12, and 10.80
Step-by-step explanation:
Use the solution for the system to find x - y
3x - 2y = 10
2x + 3y = -2
Answer:
solution is (3,-1/2)
Step-by-step explanation:
help me with 3 and 4
3. Answer:
x=3/2+1/2√21 or x=3/2+-1/2√21
Step-by-step explanation:
For this equation: a=1, b=-3, c=-3
1x2+−3x+−3=0
Step 1: Use quadratic formula with a=1, b=-3, c=-3.
x=−b±√b^2−4ac/2a
x=−(−3)±√(−3)^2−4(1)(−3)/2(1)
x=3±√21/2
x=3/2+1/2√21 or x=3/2+−1/2√21
Answer:
3: x= 3.7912874, x= 0.79128784
4: x= 0.62181997, x= -4.28848664
Step-by-step explanation:
It’s all solve for x what number actually makes the equation true.
You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. The distance traveled as a function of time can be modeled by a quadratic function.
a. Write a quadratic function that models distances of 10 ft at 1sec, 30 ft at 2 sec , and 100ft at 4 sec.
The quadratic function that models the distance traveled is: f(t) = 5t² - 5t + 10.
To write a quadratic function that models the distance traveled, we can use the general form of a quadratic function:
f(x) = ax² + bx + c.
Given that the object is increasing its speed at a constant rate, we can assume that the distance traveled is a quadratic function of time.
Let's start by substituting the given values into the quadratic function.
When t = 1 sec, the distance traveled is 10 ft.
So, f(1) = a(1)² + b(1) + c = 10.
When t = 2 sec, the distance traveled is 30 ft.
So, f(2) = a(2)² + b(2) + c = 30.
When t = 4 sec, the distance traveled is 100 ft.
So, f(4) = a(4)² + b(4) + c = 100.
We now have a system of three equations:
a + b + c = 10 (Equation 1)
4a + 2b + c = 30 (Equation 2)
16a + 4b + c = 100 (Equation 3)
We can solve this system of equations to find the values of a, b, and c.
By solving this system, we find that a = 5, b = -5, and c = 10.
Therefore, the quadratic function that models the distance traveled is: f(t) = 5t² - 5t + 10.
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Histograms are more closely related to stem-and-leaf plots but look
somewhat like bar graphs.
A. True
B. False
Answer:
true
Step-by-step explanation:
its like a bar graph but joint. theres no space between two consecutive bars
The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: \( 4x\degree + 2x\degree = 180°\)
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
\( \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
\)
Petrol costs R9,15/l. Calculate the / cost to fill a 55 litre tank. Give your answer correct to two significant S figures
Answer:
The price of gas may go up or down, but it's always a major expense for most drivers. According to the American Automobile Association, the average American driver spends about $3,000 per year on gas. Some of the practical ways to reduce fuel costs are listed below.
Use public transportation
Carpool
Use a more fuel-efficient vehicle
Tune the engine
Step-by-step explanation:
increase 320g in a ratio 5:2
Answer:5/2/320=900
Step-by-step explanation:
•50 POINTS• don’t have to explain.
Answer: 80 degrees
Step-by-step explanation:
Answer:
the remaining angle of triangle is 80° by the sum of triangle is 180.
Function 1 is defined by the equation y = \(\frac{5}{4}\)r - 1.
Function 2 is defined by line p, shown on the graph.
Which function has a greater slope.
Function 1 has a greater slope than Function 2, and the answer is Function 1.
Function 1 is defined by the equation y = \(\frac{5}{4}r - 1\).
Function 2 is defined by line p, which is shown on the graph.
The problem asks which function has a greater slope.
The slope of a line is calculated by the ratio of the difference between the vertical axis values and the difference between the horizontal axis values.
This is shown in the formula:
slope = rise/run.
Here, rise refers to the vertical difference and run refers to the horizontal difference.
This means that the slope of a line measures how steeply the line is increasing or decreasing.
Function 1: y = \(\frac{5}{4}r - 1\)
Here, the equation of Function 1 is given as y = \(\frac{5}{4}\)r - 1.
From this equation, we can see that the slope of Function 1 is equal to \(\frac{5}{4}\).
Therefore, the slope of Function 1 is 1.25.Function 2: Line pNext, we need to determine the slope of line p, which represents Function 2.
To do this, we can use two points on the line.
From the graph, we can see that the line passes through the point (0, -2) and the point (4, 1).
The rise of this line is equal to 1 - (-2) = 3, while the run is equal to 4 - 0 = 4.
Thus, the slope of line p is equal to 3/4.
Therefore, the slope of Function 2 is 0.75.
Comparing the slopes, we can see that Function 1 has a greater slope than Function 2.
Specifically, the slope of Function 1 is 1.25, while the slope of Function 2 is 0.75.
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Rita started the day with R apps. then she deleted 5 apps and still had twice the amount of Cora (36). write an equation that represents the number of apps both girls have
Answer:
Step-by-step explanation:lllllLet's start by using "R" to represent the number of apps that Rita started with, and "C" to represent the number of apps that Cora started with.
We know that Rita deleted 5 apps, so she would have (R-5) apps remaining. And we know that she still had twice the amount of Cora, which is 36.
So we can write the equation:
R-5 = 2C
And we also know that Cora had 36 apps, so we can substitute that value in for C:
R-5 = 2(36)
Simplifying the right side:
R-5 = 72
Finally, we can solve for R by adding 5 to both sides:
R = 77
So Rita started with 77 apps, and Cora started with 36 apps. We can check that Rita deleted 5 and had twice as many as Cora by plugging our values into the original equation:
77 - 5 = 72
2(36) = 72
Both sides are equal, so our solution is correct.