The two contradictory statements are "triangle LMN is a right triangle" and "triangle LMN is equilateral."
An equilateral triangle has all three sides and angles congruent. Therefore, if triangle LMN is equilateral, all angles in the triangle must be congruent and equal to 60 degrees. However, the statement "triangle LMN is a right triangle" implies the presence of a 90-degree angle, which contradicts the requirement for all angles to be 60 degrees in an equilateral triangle.
Additionally, the statement "angle L ≅ angle N" suggests that angles L and N are congruent. In an equilateral triangle, all angles are congruent, so if angles L and N are congruent, it further supports the claim that triangle LMN is equilateral.
In conclusion, the statement "triangle LMN is a right triangle" contradicts the statement "triangle LMN is equilateral" because a right triangle cannot be equilateral.
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The mean number of days with 0. 01 inch or more precipitation per month for Lewiston, Idaho, is about 8. 7. Find the probability that in a given month
(a) There are exactly 9 days with 0. 01 inch or more precipitation.
(b) There are at most 9 days with 0. 01 inch or more of precipitation.
(c) There are more than 9 days with 0. 01 inch or more of precipitation
We will use the Poisson distribution, which is a probability distribution that models the number of events occurring in a fixed interval of time or space, given the average rate of occurrence and assuming that the events are independent and randomly distributed.
For this problem, we will assume that the number of days with 0.01 inch or more precipitation in Lewiston, Idaho, follows a Poisson distribution with parameter λ = 8.7.
(a) To find the probability that there are exactly 9 days with 0.01 inch or more precipitation, we can use the Poisson probability mass function:
P(X = k) = e^(-λ) * λ^k / k!
where X is the random variable representing the number of days with 0.01 inch or more precipitation, λ is the parameter of the Poisson distribution, and k is the number of events we are interested in.
Plugging in the values, we get:
P(X = 9) = e^(-8.7) * 8.7^9 / 9! ≈ 0.151
Therefore, the probability that there are exactly 9 days with 0.01 inch or more precipitation is approximately 0.151.
(b) To find the probability that there are at most 9 days with 0.01 inch or more precipitation, we can use the cumulative distribution function of the Poisson distribution:
P(X ≤ k) = ∑i=0^k e^(-λ) * λ^i / i!
Plugging in the values, we get:
P(X ≤ 9) = ∑i=0^9 e^(-8.7) * 8.7^i / i! ≈ 0.503
Therefore, the probability that there are at most 9 days with 0.01 inch or more precipitation is approximately 0.503.
(c) To find the probability that there are more than 9 days with 0.01 inch or more precipitation, we can subtract the probability of having 9 or fewer days from 1:
P(X > 9) = 1 - P(X ≤ 9) ≈ 0.497
Therefore, the probability that there are more than 9 days with 0.01 inch or more precipitation is approximately 0.497.
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Mario had 40 shares of stock that each lost $75 during the half of the year. He also had 24 shares of a different stock that gained $50 each. What was his net change during this time period on these stocks?
The net change in the stock is $1800
How to calculate the net change ?Mario has 40 shares of stick that each lost $75 during half of the year
He also had 24 shares of a different stock that gained $50
The net change can be calculated as follows
-40 × 75
= -3000
= 24 × 50
= 1200
Net change
-3000 + 1200
= -1800
Hence the net change in the stocks is $1800
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Can someone help me I'm stuck.
Alexandria rolled a number cube 60 times and recorded her results in the table.
What is the theoretical probability of rolling a one or two? Leave as a fraction in simplest from
The theoretical probability of rolling a one or two is 3/5 or 0.6 as a decimal.
The theoretical probability of an event happening is the number of favorable outcomes divided by the total number of possible outcomes.
In this case, Alexandria rolled the number cube 60 times and recorded her results in the table.
Looking at the table, we can see that the number 1 came up 16 times and the number 2 came up 20 times.
So the number of favorable outcomes is 16 + 20 = 36.
And the total number of possible outcomes is 60.
Therefore, the theoretical probability of rolling a one or two is:
P(1 or 2) = favorable outcomes/total outcomes = 36/60
Simplifying the fraction, we get:
P(1 or 2) = 3/5
So the theoretical probability of rolling a one or two is 3/5 or 0.6 as a decimal.
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Find the radius of the cylinder. Round to the nearest whole centimeter.
The cylinder has a height of 6 centimeters and a radius of r1. The volume of the cylinder is 302 cubic centimeters.
___ centimeters
Answer:
To find the radius of the cylinder, we can use the formula for the volume of a cylinder, which is pi*(r1^2)*h, where r1 is the radius and h is the height. Given that the cylinder has a height of 6 centimeters and a volume of 302 cubic centimeters, we can solve for r1 by dividing the volume by pi times the height, and then taking the square root of the result. After rounding to the nearest whole centimeter, the radius of the cylinder is approximately 5 centimeters.
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The ages of a and b are in the ratio 8:3.6 years later their ages are ok the ratio 9:4.Find their present ages
Answer:
The present ages of A and B will be 48 and 18 years.
Step-by-step explanation:
Let the coefficient be x.
A's age = 8x
B's age = 3x
Six years hence,
Ages will be 8x+6 and 3x+6.
Now, As per the question,
(8x+6) /(3x+6) = 9/4
32x+24 = 27x+54
5x = 30
x = 6.
Rate of US adults who use the internet can be modeled by dI dt -0.5t+16.9, 5
The rate of change after 5 years is 14.4%, indicating that the percentage of US adults using the internet is increasing at a rate of 14.4% per year.
Based on the provided information, the rate of US adults who use the internet can be modeled by the equation dI/dt = -0.5t + 16.9, where t represents the time in years and I represents the percentage of adults using the internet.
To determine the rate of change at a specific time, we need to substitute the value of t into the equation.
For example, to find the rate of change after 5 years, we would substitute t = 5:
dI/dt = -0.5(5) + 16.9
dI/dt = -2.5 + 16.9
dI/dt = 14.4
Therefore, the rate of change after 5 years is 14.4%, indicating that the percentage of US adults using the internet is increasing at a rate of 14.4% per year.
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Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(v) = 5 cos (v) - 8/√(1-v^2)
g(v) = ____
The most general antiderivative of the function g(v) = 5 cos(v) - 8/√(1-v^2) is 5 sin(v) + 8 arcsin(v) + C, where C is the constant of the antiderivative.
To find the antiderivative of the given function g(v), we can use the basic antiderivative rules. The antiderivative of 5 cos(v) is 5 sin(v), as the derivative of sin(v) is cos(v) and we only need to reverse the process.
Similarly, the antiderivative of -8/√(1-v^2) can be found using the inverse trigonometric function arcsin(v), as its derivative is -1/√(1-v^2). However, we need to include a constant of integration, denoted by C, as the antiderivative is not unique.
So the most general antiderivative of g(v) is 5 sin(v) + 8 arcsin(v) + C, where C represents the constant of the antiderivative. To check the correctness of the answer, we can differentiate it and verify if it gives us the original function g(v) as the result.
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A rectangle is inscribed in a circle of radius 5 centimeters. Find the perimeter of the rectangle
The perimeter of the rectangle that is inscribed in a circle of radius 5 cm is 28cm
Let x and y be the side of the rectangle
Diameter of circle = radius × 2
Diameter = 5×2
Diameter = 10
According to the Pythagorean theorem
(Diameter)² = X² + Y²
10² = X² + Y²
X² + Y² = 100
By this equation, possible value of x and y is 6 and 8 respectively only 6 and 8 will satisfy the equation
So, X = 6 and Y = 8
Perimeter = 2(X+Y)
Perimeter = 2(6+8)
Perimeter = 2(14)
Perimeter = 28 cm
perimeter of the rectangle is 28cm
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Grace and Kelly can create math problems for a particular course in 20 hours. Alone, Grace can do write all of the problems 4 hours faster than Kelly could if she were to work alone. How long would it take each person to write the problems if they worked alone?
From the word problem given, it will take Grace 0.05 hours and Kelly 4.05 to complete the task
How long will it take for each person to write the problem if they worked alone?To solve this problem, we need to write an equation for the word problem.
Let x = time it takes for Kelly
let y = time it takes for Grace
From the problem;
y = x - 4 ...eq(i)
Since they can complete the work in 20 hours;
1/x + 1/y = 20 ...eq(ii)
Solving for both equations
From equ(ii)
1/x + 1/(x - 4) = 20
Solving for x;
x = 4.05 or x = 0.049
Put the value in and solve for y
y = x - 4
y = 4.05 - 4 = 0.05 or y = 0.0049 - 4 = insignificant
The value of y = 0.5 hours
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A social scientist is interested in determining if there is a significant difference in the proportion of republicans between two areas of town. He takes independent random samples of 200 families in each area of town and a significance test was conducted. The p-value was 0. 416. What should be our conclusions?.
The p-value of 0.416 indicates that there is no significant difference in the proportion of Republicans between the two areas of town. Therefore, we fail to reject the null hypothesis and conclude that there is no evidence of a significant difference in the proportion of Republicans between the two areas of town.
Based on the given information, the p-value is 0.416, which is larger than the conventional level of significance (e.g., 0.05 or 0.01). Therefore, we fail to reject the null hypothesis that there is no significant difference in the proportion of republicans between the two areas of town.
In other words, we cannot conclude that there is a significant difference between the two areas. It is possible that any observed difference could be due to chance.
However, it is important to note that statistical significance does not necessarily mean practical significance, and further investigation may be needed to determine if there are any meaningful differences between the two areas in terms of the proportion of republicans.
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Which of the following is the correct ratio for the image:
Responses
Sin 25 = 8 over b
Sin 25 = b over 8
Tan 25 = 8 over b
Tan 25 = b over 8
Inayah claims that the pool is draining at a rate of 1. 36% per hour
The pool is draining at a rate of 1.36% per hour according to Inayah's claim.
What is the claimed rate at which the pool is draining?According to Inayah's claim, the pool is experiencing a draining at a rate of 1.36% per hour. This means that for every hour that passes, the pool's water level decreases by 1.36% of its total volume.
Understanding the rate at which a pool is draining is essential for monitoring and managing water levels. If the rate of drainage is accurate, it can help estimate how long it would take for the pool to reach a certain level or completely drain. Additionally, it aids in determining the necessary actions to maintain the pool's water balance and prevent potential issues such as overflow or inadequate water supply.
It is crucial to verify the accuracy of the claim by monitoring the pool's water level over a specific period. This can be done by measuring the change in water volume or using other reliable methods to ensure the drainage rate aligns with the claimed percentage.
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A theater ticket costs £63 plus a booking fee of 3% what is the total price for the ticket
Answer:
The cost of Ticket = £63Booking Fee = 3% = 63*(3/100) = 1.89 = £ 1.89The total price of the ticket = £63 + £1.89 = £64.89. Therefore, the total price of the ticket is £64.89.
HELPPPPPPPPPPP HELPPPP PLEASEEE ITS MATHHHH
sorry, I am really sorry I really need the points. Just by seeing it I think in the 3 one am not sure but don't trust me because I just saw it and thought it was 3........
A sample of an element with a half-life of 8 years has a mass of 10 grams after 100 years. What was the mass of the original sample?
The mass of the original sample was approximately 1592.5 grams.
A sample of an element with a half-life of 8 years has a mass of 10 grams after 100 years. What was the mass of the original sample?The half-life of an element is the time it takes for half of a given sample of that element to decay.
Let's assume that the original mass of the sample was x grams.
After the first half-life of 8 years, the mass of the sample would be x/2 grams.
After the second half-life (16 years total), the mass would be x/4 grams.
After the third half-life (24 years total), the mass would be x/8 grams.
We can continue this pattern until we get to 100 years (which is 12.5 half-lives):
Mass after 100 years = x/2^12.5
We also know from the problem that the mass after 100 years is 10 grams:
x/2^12.5 = 10
Solving for x:
x = 10 x 2^12.5
x ≈ 1592.5 grams
Therefore, the mass of the original sample was approximately 1592.5 grams.
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The sugar company will chose from two companies to transport it’s sugar to market. the first company charges $5143 to rent trucks plus an additional fee of $200.75 for each ton of sugar. the second company charges $5500 to rent plus an additional fee of $175.25 for each ton of sugara. for what amount of sugar do the two companies charge the same?b. what is the cost when the two companies charge the same?
a. The two companies charge the same for 14 tons of sugar.
b. The cost when the two companies charge the same is $7953.50.
a. Let's represent the amount of sugar as x, and the total cost as C. Then we can set up the following equations for each company:
Company 1: C = 5143 + 200.75x
Company 2: C = 5500 + 175.25x
To find the amount of sugar for which the two companies charge the same, we can set the two equations equal to each other and solve for x:
5143 + 200.75x = 5500 + 175.25x
25.5x = 357
x = 14
So the two companies charge the same for 14 tons of sugar.
b. To find the cost when the two companies charge the same, we can plug in x = 14 into either equation. Let's use Company 1's equation:
C = 5143 + 200.75x
C = 5143 + 200.75(14)
C = 5143 + 2810.50
C = 7953.50
Therefore, the cost when the two companies charge the same is $7953.50.
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Help asap please!!!!
Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (His heads and Tis talls). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 heads H-1 H-2 H-3 H-5 H-6 Coin tails T-1 T-3 T-4 T-5 The size of the sample space is
The sample space for Ella's compound event where she rolls a die and then flips a coin can be represented in the table below:
Die: 1 2 3 4 5 6
Coin: H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5
The size of the sample space is the total number of possible outcomes, which in this case is the number of rows in the table. We can see that there are 9 rows in the table, so the size of the sample space is 9.
To understand the sample space, we can imagine that each row in the table represents a possible outcome of the compound event. For example, the first row represents the outcome where Ella rolls a 1 on the die and gets heads on the coin. The second row represents the outcome where Ella rolls a 2 on the die and also gets heads on the coin, and so on.
Understanding the sample space is important in probability theory because it allows us to calculate the probability of specific events occurring. By knowing the size of the sample space and the number of favorable outcomes, we can determine the probability of an event happening.
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Write the polynomial in standard form with roots of 1/4 and +5i
The polynomial with roots of 1/4 and +5i in standard form is:
f(x) = x² - (1/4)x² + 25x - (25/4)
To write the polynomial with roots of 1/4 and +5i in standard form, we need to use the fact that the roots of a polynomial are related to its factors. Specifically, if r is a root of a polynomial, then x - r is a factor of the polynomial.
Therefore, if the roots of our polynomial are 1/4 and +5i, then we know that the factors of the polynomial are:
(x - 1/4) and (x - 5i) and (x + 5i)
To get the polynomial in standard form, we need to multiply out these factors and simplify.
(x - 1/4) and (x - 5i) and (x + 5i) = (x - 1/4) and (x² - 25i²)
= (x - 1/4) and (x² + 25)
= x³ + 25x - (1/4)x² - (25/4)
Therefore, the polynomial with roots of 1/4 and +5i in standard form is:
f(x) = x³ - (1/4)x² + 25x - (25/4)
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Your cousin is bulding a sandbox for his daughter. How much sand will he need to fill the box? Explain. How much paint will he need to paint all six surfaces of the sandbox? Explain.
The amount of paint that he will need to paint all six surfaces of the sandbox is: 68 square feet
How to find the volume of the prism?Since the image is a rectangular prism
The volume of the box can be obtained by using the formula:
Volume = l * b * h
The box has a dimension of 1ft x 4ft x 6ft
The volume of the box = 1 x 4 x 6 = 24 cubic feet
Therefore, the volume of sand needed to fill the box will be = 24 cubic feet of sand
The surface area of the box can be obtained using the formula:
2(lb + lh + bh)
= 2(1*4 + 1*6 + 4*6)
=2(4 + 6 + 24)
=2 (34)
= 68 square feet
Therefore a total surface area of 68 square feet needs to be painted
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Complete question is:
Your cousin is building a Sandbox for his daughter how much sand will he need to fill the Box? Explain. How much paint will he need to paint all six surface of the sandbox? Explain. 1ft 4ft 6ft not answer choices
Let f(a) = 15a squared + 40a - 30 and a(b) = 3b -5 find f(b), then find the value of f when b = -3
In mathematics, an expression is a combination of numbers, variables, and/or operators that represents a mathematical phrase or equation. Therefore, when b = -3, f(b) = -15.
An expression can contain constants, variables, functions, and/or mathematical operators such as addition, subtraction, multiplication, division, exponentiation, and logarithms.
To find f(b), we need to substitute b for a in the expression for f(a):
f(b) = 15b^2 + 40b - 30
To find the value of f when b = -3, we substitute -3 for b in the expression above:
f(-3) = 15(-3)^2 + 40(-3) - 30
f(-3) = 135 - 120 - 30
f(-3) = -15
Therefore, when b = -3, f(b) = -15.
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a circular pool has a radius of 32 cm find its area?
the radius of the area of a cylinder is 36m and it’s height is 46m. find the surface area of the cylinder in terms of
Surface area of the cylinder in terms of [tex]$\pi$[/tex] is [tex]$5904\pi m^2$[/tex].
How to find the surface area of the cylinder?The surface area of a cylinder can be calculated by adding the area of the two bases (which are circles) and the lateral area (which is the area of the curved surface).
The radius of the cylinder is given as 36m and the height as 46m. Therefore, the diameter of the cylinder is 72m (twice the radius). Using the formula for the area of a circle, we can calculate the area of each base:
[tex]$A_{base} = \pi r^2 = \pi (36m)^2 = 1296\pi m^2$[/tex]
The lateral area of the cylinder can be calculated using the formula:
[tex]$A_{lateral} = 2\pi r h$[/tex]
Substituting the given values, we get:
[tex]$A_{lateral} = 2\pi (36m) (46m) = 3312\pi m^2$[/tex]
Therefore, the total surface area of the cylinder is:
[tex]$A_{total} = A_{base} + A_{lateral} + A_{base} = 2A_{base} + A_{lateral}$[/tex]
Substituting the values we calculated, we get:
[tex]$A_{total} = 2(1296\pi m^2) + 3312\pi m^2 = 5904\pi m^2$[/tex]
So the surface area of the cylinder in terms of [tex]$\pi$[/tex] is [tex]$5904\pi m^2$[/tex].
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As a contestant on a televised game show, lucy gets to spin the big prize wheel, which has a radius of 2 yards. what is the prize wheel's area?use 3.14 for .
The prize wheel's area is approximately 12.56 square yards.
The area of a circle can be calculated using the formula A = πr², where A represents the area, r represents the radius, and π is approximately 3.14. In Lucy's case, the big prize wheel has a radius of 2 yards.
To find the area of the prize wheel, we can plug the radius value into the formula:
A = π(2 yards)²
Squaring the radius (2 yards) gives us:
A = π(4 square yards)
Now, we can multiply by the given value of π (3.14):
A = 3.14 × 4 square yards
Finally, multiplying these values together, we get:
A = 12.56 square yards
Therefore, the area of the prize wheel is approximately 12.56 square yards. This calculation helps us understand the size of the prize wheel, which can be useful for various purposes such as determining the space required for the game show set or designing the prize sections on the wheel.
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Carl takes out a loan which accrues interest at a flat rate of 1.96% per quarter.
what is the equivalent yearly simple interest rate?
Carl will be charged 7.84% of the initial loan amount as interest.
When taking out a loan, it's important to understand the interest rate and how it will affect the total amount you will owe. In this case, Carl's loan accrues interest at a flat rate of 1.96% per quarter. This means that every quarter, Carl will be charged 1.96% of the initial loan amount as interest.
To determine the equivalent yearly simple interest rate, we use the formula: Yearly interest rate = Quarterly interest rate x 4. This formula works because there are four quarters in a year, so we can multiply the quarterly interest rate by four to get the annual interest rate.
In this case, the quarterly interest rate is 1.96%. Multiplying this by four, we get an annual interest rate of 7.84%. This means that over the course of a year, Carl will be charged 7.84% of the initial loan amount as interest.
Understanding the interest rate is important because it can significantly impact the total amount that you will owe on a loan. A higher interest rate means that you will pay more in interest over the life of the loan, which can make the loan more expensive overall.
By calculating the equivalent yearly simple interest rate, Carl can better understand how much he will owe in interest over the course of the loan and make an informed decision about whether or not to take out the loan.
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secθ in simplest radical form.
The value of secθ in simplest radical form is:
[tex]sec\theta = -\frac{\sqrt{61} }{5}[/tex]
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
[tex]r = \sqrt{x^{2} +y^2}[/tex]
Here, x = -5 and y = -6
The secant can be found by the following trigonometric relation:
[tex]sec\theta = \frac{1}{cos\theta}[/tex]
[tex]sec\theta = \frac{1}{\frac{x}{r} }\\ \\sec\theta = \frac{r}{x}\\ \\sec\theta = \frac{\sqrt{x^{2} +y^2} }{x}\\ \\sec\theta =\frac{\sqrt{(-5)^2+(-6)^2} }{-5}\\ \\sec\theta = -\frac{\sqrt{61} }{5}[/tex]
The secant function ‘or’ Sec Theta is one of the trigonometric functions apart from sine, cosine, tangent, cosecant, and cotangent. In right-angled trigonometry, the secant function is defined as the ratio of the hypotenuse and adjacent side.
Now , the secθ functions:
[tex]sec\theta = -\frac{\sqrt{61} }{5}[/tex]
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The given question is incomplete, complete question is:
If θ is an angle in standard position and its terminal side passes through the point (-5,-6), find the exact value of secθ in simplest radical form.
help please due very soon
Answer:
(D) 7/10
Step-by-step explanation:
You want the rate of change of y with respect to x for the relation ...
(2/5)x -(4/7)y = 3/2
Slope-Intercept formSolving for y, we have ...
2/5x -3/2 = 4/7y . . . . . . . . . . add 4/7y -3/2
(7/4)(2/5)x -(7/4)(3/2) = y . . . . multiply by 7/4
7/10x -21/8 = y . . . . . . . . . . simplify
The rate of change is the coefficient of x: 7/10.
Write a numerical expression using at least three operations a parenthesis an exponent that when solved has a solution of 23
Therefore, when you solve this expression (6 + 5) x 2^2 - 4 , the solution is 23.
Here's an example of a numerical expression using at least three operations, a parenthesis, and an exponent that when solved has a solution of 23:
(6 + 5) x 2^2 - 4 = 23
Explanation:
- Parenthesis: (6 + 5) = 11
- Exponent: 2^2 = 4
- Multiplication: 11 x 4 = 44
- Subtraction: 44 - 4 = 40
- Solution: 40 divided by 2 = 20, then 20 plus 3 = 23
Therefore, when you solve this expression, the solution is 23.
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Rhombus abcd has vertices (1, 10), (-4, 0), (7, 2), (12, 12), respectively. part 1 use the distance formula to find the lengths of the diagonals. part 2 use the lengths of the diagonals to calculate the area of the rhombus. part 3 one of the similar characteristics in a square and rhombus is that they both have four equal sides. the formula for the area of a square uses the side lengths to compute the area while the formula for the area of a rhombus uses the lengths of the diagonals to compute the area. are area formulas for a square and rhombus interchangeable? in complete sentences, explain why or why not you think that the formulas are interchangeable. create your own example using a square with side lengths and a rhombus with side lengths to prove your explanation.
The area of the square is 16 square units.
The area of the rhombus is 24 square units.
Part 1: Using the distance formula, we can find the lengths of the diagonals:
Diagonal AC = √[tex][(7-1)^2 + (2-10)^2[/tex]] = √(36 + 64) = √100 = 10
Diagonal BD = √[[tex](12-(-4))^2 + (12-0)^2[/tex]] = √(256 + 144) = √400 = 20
Part 2: The area of a rhombus can be calculated using the formula: Area = (diagonal 1 x diagonal 2)/2.
So, for this rhombus, the area = (10 x 20)/2 = 100 square units.
Part 3: The area formulas for a square and rhombus are not interchangeable because they have different ways of computing their areas. A square has all four sides equal in length, while a rhombus has opposite sides equal in length. The diagonals of a square bisect each other at right angles, and each diagonal divides the square into two congruent triangles, so the area of a square is simply side length squared (Area =[tex]s^2[/tex]). However, the diagonals of a rhombus bisect each other at right angles, but they do not necessarily divide the rhombus into congruent triangles. Therefore, the area of a rhombus is calculated using the lengths of the diagonals (Area = (diagonal 1 x diagonal 2)/2).
For example, let's consider a square with side length 4 units and a rhombus with diagonals 6 units and 8 units.
The area of the square = [tex]4^2 = 16[/tex]square units.
The area of the rhombus = (6 x 8)/2 = 24 square units.
As we can see, the formulas are not interchangeable.
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consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. you first regress y on x1 only and find no relationship. however when regressing y on x1 and x2, the slope coefficient changes by a large amount. this suggests that your first regression suffers from:
When a multiple regression model created incorrectly then leaves out one and more than one important factors are omitted.
Multiple regression is a statistical way that can be used to analyze the relationship between a single dependent variable and several independent variables. Equation is written as y =
We have regressors x₁ and x₂ where both variables are determinants of the dependent variable. you first regressor y on x₁ only and find no relationship. however when regressing y on x₁ and x₂.
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Complete question:
consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. you first regress y on x1 only and find no relationship. however when regressing y on x1 and x2, the slope coefficient changes by a large amount. this suggests that your first regression suffers from:
Which expression is equivalent to 24+30?
A. 6(4+5)
B. 6(4+6)
C. 8(3+4)
D. 8(3+12)
Please i need an answer to this
Answer:
A
Step-by-step explanation:
6x4 = 24
6x5 = 30
24+30
:)
Answer:
A.) 6(4+5)
Step-by-step explanation:
*Solve the parenthesis first: 4+5 = 9
*Next, multiply 6×9= 54