The regression model for predicting points/game as a function of yards/game will use the data from the Excel file to determine the statistical parameters that describe the relationship between the two variables.
Regression analysis is a statistical tool used to determine the relationship between two or more variables. In this case, we will use regression analysis to develop a model for predicting points/game as a function of yards/game.
The intercept is the point at which the regression line intersects the y-axis. The slope is the steepness of the regression line. The correlation coefficient (r-value) is a measure of the strength of the relationship between the two variables.
A value of 1 indicates a perfect positive relationship, a value of -1 indicates a perfect negative relationship, and a value of 0 indicates no relationship.
The statistical significance of the model is determined by the p-value. The p-value is the probability that the relationship between the two variables is due to chance.
If the p-value is less than 0.05, we can say that the relationship is statistically significant, meaning that it is unlikely to be due to chance.
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You’re convinced that 75% of 400g flour is 300g.
Your friend disagrees and says 75% is 175g of flour.
Whose conversion is correct?
Answer:
You are
Step-by-step explanation:
25% is 1/4 of the total value
100/400 = 1/4
So, 100g is 25%
25% * 3 = 75%, so 100 * 3 = 300
Thus, you are correct.
I have no idea how to explain where 'your friend' went wrong :D
Hope this helped!
complete the equation describing how x and y are related (can anyone help me with this please)
The equation of line which describe how x and y are related is,
⇒ y = 5x + 3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the table are (-1, -2) and (0, 3).
Now,
Since, The equation passes through the points (-1, -2) and (0, 3).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (3 - (-2)) / (0 - (-1))
m = 5 / 1
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - (-2) = 5 (x - (-1))
⇒ y + 2 = 5 (x + 1)
⇒ y + 2 = 5x + 5
⇒ y = 5x + 5 - 2
⇒ y = 5x + 3
Therefore, The equation of line passes through the points (-1, -2) and
(0, 3) will be;
⇒ y = 5x + 3
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a group of students had dinner at a local restaurant. the total bill for the dinner was $364.99. each student paid his/her equal share of the bill, which was $21.47. how many student's were at the dinner?
The number of students present at the dinner is 17
As stated in the question, a group of students had dinner at a local restaurant.
The total bill for the dinner was $364.99 and each student paid an equal share of the bill which is $21.47. according to the question we have to find the number of students present at the dinner,
To find the number of students we have to divide the total bill by the amount paid by each student,
Let the number of students who were present at the dinner be x
Now number of students = total bill/amount paid by each student
Hence, x = $364.99 ÷ $21.47
So the value of x is 17
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If f(x) = 9x ^ 3 + 45x ^ 2 + 26x - 40 and x + 4 is a factor of f(x) then find all of the zeros of f() algebraically.
All the zeroes of f(x) are, - 4, 3/2, - 5/3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function is,
⇒ f(x) = 9x³ + 45x² + 26x - 40
And, (x + 4) is a factor of f(x).
Now, Divide the function as;
⇒ x + 4 ) 9x³ + 45x² + 26x - 40 ( 9x² + 9x - 10
9x³ + 36x²
- -
------------------------
9x² + 26x
9x² + 36x
- -
-----------------------
- 10x - 40
- 10x - 40
------------------
0
Thus, All the factors of function f (x) is,
⇒ (x + 4) (9x² + 9x - 10)
⇒ (x + 4) (9x² + 15x - 6x - 10)
⇒ (x + 4) (3x(3x + 5) - 2(3x + 5))
⇒ (x + 4) (3x - 2) (3x + 5)
Thus, All the zeroes are,
⇒ x + 4 = 0 ⇒ x = - 4
⇒ 3x - 2 = 0 ⇒ x = 2/3
⇒ 3x + 5 = 0 ⇒ x = - 5/3
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the mean of a data set is 36.71 and the sample standard deviation s is 3.22 approximately what percentage of measurements will be between 31.88 and 41.54?
Approximately 90.7% of measurements will be between 31.88 and 41.54.
To find the percentage of measurements that will be between 31.88 and 41.54, we need to use the standard deviation to find the number of standard deviations away from the mean that 31.88 and 41.54 are, and then use a standard normal table to find the corresponding proportion of data within that range.
First, we'll find the z-score for 31.88:
z = (31.88 - 36.71) / 3.22 = -1.49.
Similarly, the z-score for 41.54 is:
z = (41.54 - 36.71) / 3.22 = 1.34.
Now we can use a standard normal table to find the proportion of data between -1.49 and 1.34 standard deviations from the mean. This proportion is approximately 0.907, meaning that approximately 90.7% of measurements will be between 31.88 and 41.54.
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given a variable that has a t distribution with the specified degrees of freedom, what percentage of the time will its value fall in the indicated region?
The percentage of the time will its value falls in the indicated region are (a) 68.54%, (b) 95.44%, (c) 95.99%, (d) 99.48%, (e) 5.54%, (f) 97.19%, and (g) 15.96%.
(a) The percentage of time that a variable with 10 degrees of freedom will fall between -1.81 and 1.81 is 68.54%.
(b) The percentage of the time that a variable with 10 degrees of freedom will fall between -3.17 and 3.17 is 95.44%.
(c) The percentage of the time that a variable with 24 degrees of freedom will fall between -2.06 and 2.06 is 95.99%.
(d) The percentage of the time that a variable with 24 degrees of freedom will fall between -3.75 and 3.75 is 99.48%.
(e) The percentage of the time that a variable with 23 degrees of freedom will fall outside the interval from -2.81 to 2.81 is 5.54%.
(f) The percentage of the time that a variable with 24 degrees of freedom will fall to the right of 2.80 is 97.19%.
(g) The percentage of the time that a variable with 10 degrees of freedom will fall to the left of -1.81 is 15.96%.
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--The given question is incomplete; the complete question is
"Given a variable that has a t distribution with the specified degrees of freedom, what percentage of the time will its value fall in the indicated region? (Round your answers to one decimal place.)
(a) 10 df, between -1.81 and 1.81
(b) 10 df, between -3.17 and 3.17
(c) 24 df, between -2.06 and 2.06
(d) 24 df, between -3.75 and 3.75
(e) 23 df, outside the interval from -2.81 to 2.81
(f) 24 df, to the right of 2.80
(g) 10 df, to the left of -1.81"--
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
10 ft and 13 ft
Answer: 816.4 [tex]ft^2[/tex]
Step-by-step explanation: The formula is A=2[tex]\pi[/tex]rh
Solve for x and y 20 points
Answer:
Step-by-step explanation:
luis strength trains two times per week. he uses 12-pound weights and performs three sets of eight repetitions. he wants to improve his frequency. what should he do?
If Luis trains two times per week with 12-pound weights , then to improve his strength, he should (d) Increase to three times per week.
By Increasing the frequency of his strength training sessions from two times per week to three times per week can help Luis improve his strength by exposing his muscles to more stimulation and allowing for more adaptations to occur.
It is important to remember to progress gradually and listen to his body to avoid injury.
The option (d) ; involves increasing the frequency of his strength training sessions from two times per week to three times per week. By exposing his muscles to more stimulation, he will be allowing for more adaptations to occur and potentially leading to greater strength gains.
The given question is incomplete , the complete question is
Luis strength trains two times per week. He uses 12-pound weights and performs three sets of eight repetitions. He wants to improve his frequency. What should he do?
(a) Increase to 10 repetitions.
(b) Increase to 15-pound weights.
(c) Increase to four sets.
(d) Increase to three times per week.
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8/5w = 40
Simplify your answer as much as possible.
Answer:
w = 25
Step-by-step explanation:
8/5w = 40
Divided both sides by 8/5
w = 25
Let's check
8/5(25) = 40
40 = 40
So, w = 25 is the correct answer.
Answer: w = 25
Step-by-step explanation:
To solve for w, we will isolate the variable by using inverse operations.
Given:
[tex]\displaystyle \frac{8}{5} w=40[/tex]
Divide both sides of the equation by [tex]\frac{8}{5}[/tex]:
* Note: w is being multiplied by [tex]\frac{8}{5}[/tex], so the inverse operation is division
[tex]\displaystyle w=\frac{40}{\frac{8}{5 } } \mapsto w=40*\frac{5}{8} \mapsto w=*\frac{40*5}{8} \mapsto\frac{200}{8} \mapsto \boxed{w=25}[/tex]
The graph shows similar slope triangles on a line. Which of the following statements are true? Select all that apply.
A: the slope of each triangle is 2/3
B: the slope of the line is negative
C: the slope of the line is positive
D: triangle has a greater slope because the triangle is larger
guys which ones are the correct answers cuz i need to select all the correct ones help pls
Answer:
C
Step-by-step explanation:
slope is 3/2 - use any diff in Y divide by diff in x, easiest one is BC/BA = 3/2
the line goes upwards, so slope must be positive
every triangle has the same slope cause their long sides share the same line
only C is right
Answer: The slope answer is A but my also have an extra which is e so C an E are the correct answer
Step-by-step explanation:
I just did them and it was correct hope it help :)
Find all the missing sides and angles of this triangle. Round to the nearest tenth if necessary.
Right triangle ABC. Hypotenuse = 7 units. Angle B = 70 degrees.
Triangle ABC with a hypotenuse of 7 units and angle B equal to 70 degrees,
side AC is 5.3 units side BC is 4.7 units. Angle C is 20 degrees.How to find the sides of the triangleSince triangle ABC is a right triangle and angle B is 70 degrees, it can be deduced that angle C must be 90 - 70 = 20 degrees.
assuming
length of side AC = a
length of side BC = b.
Using the Pythagorean theorem, we can find the values of a and b.
a^2 + b^2 = 7^2
a^2 = 7^2 - b^2
a = √(7^2 - b^2)
Using the tangent function
tan C = b/a
tan 20 = b/√(7^2 - b^2)
Solving for b, we get:
b = tan(20) * √(7^2 - b^2)
We can use numerical methods to find the approximate value of b. Using a calculator, we can find that b is approximately 4.7. Rounding to the nearest tenth, b is 4.7 units.
Finally, using the Pythagorean theorem again, we can find the value of a:
a^2 + b^2 = 7^2
a^2 = 7^2 - b^2 = 7^2 - 4.7^2
a = √(7^2 - 4.7^2)
a = √(7^2 - 22.09)
Using a calculator, we can find that a is approximately 5.3. Rounding to the nearest tenth, a is 5.3 units.
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The numerical value of the standard deviation can never be:
Zero
Negative
Larger than the variance
Which of the following statements is true:
a. (i) & (ii)
b. (ii) & (iii)
c. (i), (ii) & (iii)
d. None of the above
The numerical value of the standard deviation is never (B) less than the variance and is never negative.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
The standard deviation's numerical value is always greater than the variance and can never be negative.
The lowercase Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.
Standard deviation may be written as SD.
Therefore, the numerical value of the standard deviation is never (B) less than the variance and is never negative.
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para un experimento. La pieza de hierro pesaba 9 3/8 libras y la pieza de aluminio pesaba 7 1/8 libras. ¿Cuánto más pesó la pieza de hierro que la pieza de aluminio?
La pieza de hierro pesó (2 + 2/8) libras más que la pieza de aluminio.
¿Cuánto más pesó la pieza de hierro que la pieza de aluminio?Para ver esto, debemos tomar la diferencia entre los pesos de las dos piezas de metal.
Sabemos que:
La pieza de hierro pesaba (9 + 3/8) libras.La pieza de aluminio pesaba (7 + 1/8) libras.La diferencia entre esos valores nos dará:
(9 + 3/8) libras - (7 + 1/8) libras.
Podemos reagrupar los numeros como:
(9 - 7) libras + (3/8 - 1/8) libras
2 libras + 2/8 libras
(2 + 2/8) libras
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Students are making lemonade from a powdered lemon drink mix. Isaac mixes 3 cups of water and 2 cups of powdered lemon mix. Mariam mixes 5 cups of water and 4 cups of powdered lemon mix. Use Isaac and Mariam’s proportions of powdered lemon mix to determine whose mix will be more lemony.
Answer:
Ariana's percentage of lemon cups is 85%.
Andre's percentage of lemon cups is 48%.
Step-by-step explanation:
Ariana:
Lemon cups = 17
Total cups = 17 + 3 = 20
Percent of lemon cups.
= 17/20 x 100
= 17 x 5
= 85%
Andres:
Lemon cups = 10
Total cups = 11
Percent of lemon cups. = 10/21 x 100 = 48%
40
50
70
100
In the diagram of AABC below, AB AC. The
measure of ZB is 40°.
B
What is the measure of ZA?
X
The value of angle A is 100⁰.
option D is the correct answer.
What is the measure of angle A?
The measure of angle A is calculated by applying the following formula as shown below;
If line AB is similar to line AC, then angle B must be equal to angle C.
∠ B = ∠ C = 40 ⁰
The value of angle A is calculated as follows;
∠ A = 180⁰ - ( ∠ B + ∠ C ) ( sum of angles in a triangle )
∠ A = 180⁰ - ( 40⁰ + 40⁰ )
∠ A = 180⁰ - ( 80 ⁰ )
∠ A = 100⁰
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write the output y in terms of x. input x /4 +3 output y
The output y in terms of x is y > x/7.
What is an inequality in mathematics?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made;
Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics;
Given;
The equation;
x/4+3 = y
Now, y = x/7
y>x/7
Therefore, the inequality will be y>x/7;
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Find the area of this circle.
Use 3.14 to approximate .
A = πr²
13 cm
A = [?] cm²
The area of the circle is 530.66 cm².
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Radius = 13 cm
π = 3.14
Now,
Area = πr²
Area = 3.14 x 13²
Area = 3.14 x 169
Area = 530.66 cm²
Thus,
The area is 530.66 cm².
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Can you please help me fast
Answer: The slope of the line is 3; option A is correct.
Step-by-step explanation:
What is the answer to 2x x 3y x 3x
Answer:
2x x 3y x 3x is 18x4y hope it helps
Step-by-step explanation:
The hanger diagram represents 4(x+5)=32 ( answer the following please)
A. What does each circle represent?
B. Already answered.
C. What part of the equation can be divided by 4 to find the value of x+5?
D. What is the value of x?
Each circle represents a number. The left side of the equation (4(x+5)) can be divided by 4 to find the value of x+5. The value of x is 4.70
Which is a radius and which is a diameter?The distance between a circle's center and periphery is referred as the radius. Always, the diameter is twice the radius. As a conclusion, the diameter is multiplied by two to obtain the formula.
Diameter and circumference are what?The ratio of a circle's circumference to diameter serves as the basis for the traditional definition of Pi (). The diameter or length of such a circle is its circumference. A straight line connecting a point on one end of both the ring to a place on the opposite end, through the center, is the diameter.
Diameter = 2r -----------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+5)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 5)]
first open the inner bracket
32 = 5[4x + 20}
then open the outer bracket
32 = 20x + 100
subtract 16 from both-side of the equation
20x=100-32
20x=68
x=3.4
Divide both-side of the equation by 3.4
16/3.4 = 8x/3.4
4.70 = x
x = 4.70
Therefore, the value of x is 4.70
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Melody works at Fancy Pet magazine. Her employer offers her a pension. Melody's employer uses a formula to calculate the pension.
Retiring employees receive 2.5% of their average salary over the last four (4) years of employment for every year worked. Melody is planning to retire at the end of the year after, 30 years of employment. Her salaries for the last four years are $56,000; $60,000; $73,000;
and $75,000. a) Calculate is Melody's Average 4 year salary show work
Answer:
Hello!
a) Melody's average 4 year salary = (56,000 + 60,000 + 73,000 + 75,000) / 4
= 264,000 / 4
= 66,000
So, Melody's average 4 year salary is $66,000.
Step-by-step explanation:
Melody has worked for 30 years at Fancy Pet magazine and is planning to retire at the end of the year. As per her employer's pension formula, she will receive 2.5% of her average salary over the last four (4) years of employment for every year worked.
To calculate Melody's average salary over the last four years, we first need to add up her salary from the last four years: 56,000 + 60,000 + 73,000 + 75,000 = 264,000. Then, we divide this sum by 4 to find the average: 264,000 / 4 = 66,000.
Therefore, Melody's average 4 year salary is $66,000. With this information, we can calculate the amount of pension she will receive based on her years of employment and the pension formula offered by her employer.
Consider the market for caramel and butterscotch ice cream toppings. For each price change, identify the likely effect on the demand curve for caramel topping.
Drag each item on the left to its matching item on the right.
The demand for caramel topping will decrease.
The demand for caramel topping will increase.
The demand curve for caramel topping will remain the same.
The price of butterscotch topping increases.SELECT A LABELThe demand for caramel topping will decrease.The demand for caramel topping will increase.The demand curve for caramel topping will remain the same.
The price of caramel topping decreases.SELECT A LABELThe demand for caramel topping will decrease.The demand for caramel topping will increase.The demand curve for caramel topping will remain the same.
The price of ice cream increases.SELECT A LABELThe demand for caramel topping will decrease.The demand for caramel topping will increase.The demand curve for caramel topping will remain the same.
The caramel topping demand curve will not change:
The cost of caramel topping is falling; there will be an increase in demand for caramel topping:
Butterscotch topping costs more money;
There will be less demand for caramel topping:
Ice cream now costs more money.
Description of the curveThe quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.
Ice cream and caramel toppings are complementary products.
Products that are consumed together are said to be complementary.
The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.
a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.
Butterscotch and caramel ice cream toppings serve as stand-ins.
Products that can be used in place of one another are known as substitute goods.
The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.
Demand curve: what is it?
The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.
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Complete the table for the function and it’s inverse
f-¹(x) = 1/3(x) - 2/3
The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
f^-¹(x) = 1/3(x) - 2/3
so, by solving we get,
the real function is,
f(x) = 3x+2
as, we get,
let, y= f^-¹(x)= x/3 - 2/3
i.e. x = 3y+2
so, we get , inverse of f^-¹(x) is, f(x)
now, f(x)= 3x+2
Hence, The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.
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A sample of size n from a population of size N is obtained through simple random sampling if every possible sample of size n has an equally likely chance of occurring is called?
It is referred to as "simple random sampling" when a sample of size n is taken from such a population of size N and any conceivable sample of that size has an equal likelihood of occuring.
Explain about the simple random sampling?A selection of participants from such a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling.
Every person in the population has the same chance of being chosen. Then, data are gathered from as much of this randomly selected subgroup as possible. Simple random sampling is a technique for selecting a smaller sample size from the a larger population so that it can be used to study and draw conclusions about the larger group.Thus, it is referred to as "simple random sampling" when a sample of size n is taken from such a population of size N and any conceivable sample of that size has an equal likelihood of occuring.
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Can someone solve this
The other angles of the triangle are x = 28° and y = 62°. The result is obtained by using the trigonometric ratios.
Trigonometric Ratiossin θ = opp/hypcos θ = adj/hyptan θ = opp/adjWhere opp is opposite, hyp is hypotenuse, and adj is adjacent.
In Pythagorean Theorem, the triangle is a right triangle. It means that one angle is 90° and two others added equal to 90°. The two angles can be found by the trigonometric ratios.
A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Find the measures of the other 2 angles! (x and y)
Let θ = x.
sin x = opp/hyp
sin x = 8/17
x = 28°
If x = 28, then y will be
y = 180 - (90 + 28)
y = 180 - 118
y = 62°
Hence, the right triangle has the other angles of 28° and 62°.
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Lin’s teacher uses the box to store her set of cubes with an edge length 1/2inch.if the box is completely full, how many cubes are in the set
The number of cubes fitted in the storage box is 448.
What is Volume?The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Edge length of cube = 1/2 inch
So, volume of a cube = (Side)³
= (1/2)³
= (1/8)
Now, Volume of the storage box = 56 cubic inches.
So, number of cubes fitted in the storage box
= Volume of the storage box / volume of a cube
= 56/ (1/8)
= 56 x8
= 448 cubes
Hence, number of cubes fitted is 448.
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star, incorporated, used excel to run a least-squares regression analysis, which resulted in the following output: regression statistics multiple r 0.9814 r square 0.9576 observations 30 coefficients standard error t stat p-value intercept 174,182 60,782 2.87 0.020 production (x) 11.93 0.9256 12.89 0.000 what total cost would star predict for a month in which production is 2,000 units?
The total cost predicted for a month with 2,000 units of production using the equation of the regression line $197,042.
The total cost predicted by Star, Inc. for a month in which production is 2,000 units would be calculated using the equation of the regression line:
y = intercept + (slope * x)
where y is the total cost, x is the production, intercept is the y-intercept (174,182), and slope is the coefficient of production (11.93).
Plugging in the values, we get:
y = 174,182 + (11.93 * 2,000) = 174,182 + 23,860 = 197,042
So the total cost predicted for a month with 2,000 units of production is $197,042.
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how many minutes are in 2/5 of the day you must show your working
Answer:
576 minutes
Step-by-step explanation:
You first must convert the time of a day into minutes.
24 hours x 60 minutes = 1440 minutes in a day.
Now you need to multiply the sum by 2/5
1440/1 x 2/5 = 2880/5
Simplify the number into a whole number.
2880 divided by 5 = 576
What is the unknown fraction?
four tenths plus thirty-eight hundredths equals blank
eighty-seven hundredths
seventy-eight hundredths
forty-two hundredths
thirty-four hundredths
The required unknown fraction for four-tenths plus thirty-eight hundredths equals seventy-eight hundredths. Option C is correct.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Here,
The unknown fraction can be found by adding the given fractions:
=4/10 + 38/100
= [40 + 38]/100
= 78/100
Thus, the unknown fraction is seventy-eight hundredths.
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