When each independent variable is changed by one unit, use linear regression to get the mean change in the dependent variable. Polynomials can be used to simulate curvature as well as to add interaction effects.
An entire second order model is what?
The x1 and x2 linear terms, the x12 and x22 second-degree terms, and the x1x2 interaction term make up the entire second degree polynomial model. As could be used to represent the estimated model.
Which kind of model would you apply to discover the relationship between the dependent and independent variables?
Considering a one-unit change in each independent variable, use linear regression to determine the mean change in a dependent variable. To represent curvature and take interaction effects into account, you may also employ polynomials.
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The complete question is "Consider a regression analysis with three independent variables x1,x2, and x3. Give the equation for the following regression models: a. The model that includes as predictors all independent variables but no quadratic or interaction terms. b. The model that includes as predictors all independent variables and all quadratic terms. c. All models that include as predictors all independent variables, no quadratic terms, and exactly one interaction term. d. The model that includes as predictors all independent variables, all quadratic terms, and all interaction terms (the full quadratic model)."
An administrator surveys a random sample of 48 out of 900 middle school
students. Using the survey results, the administrator estimates that 225 students
are in favor of the new dress code. How many of the 48 students surveyed were
in favor of the new dress code?
Considering the definition of probability, 12 of the 48 students surveyed were in favor of the new dress code.
Definition of probabilityProbability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
P(A)=number of favorable events÷ number of total events
Probability that students are in favor of the new dress codeIn this case, you know:
Total number of middle school students = 900 (number of possible cases)The number of students are in favor of the new dress code = 225 (number of favorable cases)Replacing in the definition of probability:
P(A)=225 students÷ 900 students
Solving:
P(A)= 0.25
Expressed as a percentage:
P(A)= 25%
Number of the 48 students surveyed were that in favor of the new dress codeIn this case, you know:
Total number of middle school students = 48 (number of possible cases)25% students are in favor of the new dress code (P(A)= 25%= 0.25)Replacing in the definition of probability:
0.25=students in favor of the new dress code÷ 48 students
Solving:
students in favor of the new dress code= 0.25×48 students
students in favor of the new dress code= 12 students
Finally, 12 of the 48 students surveyed were in favor of the new dress code.
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a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.
Step-by-step explanation:
Don and Ana are driving to theit vacation.
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?
Answer:
NO. OF RED =8
NO. OF BLUE=4
NO. OF GREEN=7
THEREFORE,TOTAL MARBLES=19
THEREFORE,PROBABILTY OF RED MARBLES=8/19.
Find the remainder when f(x) is divided by x - k and k = -2. Use the Remainder Theorem ONLY, SHOW YOUR WORK! (BONUS POINTS FOR BRAINLIEST)
f(x)= 5x^6 + 5x^5 - 7x^4 + 7x^3 + 5x^2 - 4x-1
The remainder when 5\(x^{6}\) + \(5x^{5}\) -\(7x^{4}\) +\(7x^{3}\) +\(5x^{2}\) -4x -1 is divided by x - k is 19
What is a remainder?The number which divides a given number is the divisor. And the number which we get as a result is known as the quotient. The divisor which does not divide a number completely produces a number, which is referred to as remainder.
if x - k divides the polynomial, then x = k, which means x = -2
substitute x = -2 into the polynomial 5\(x^{6}\) + \(5x^{5}\) -\(7x^{4}\) +\(7x^{3}\) +\(5x^{2}\) -4x -1 we have
5\((-2)^{6}\) +\(5(-2)^{5}\) - \(7(-2)^{4}\) + \(7(-2)^{3}\) +\(5(-2)^{2}\) -4(-2) - 1 = 19
In conclusion the remainder when x - k divides the polynomial is 19
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4. What function represents how much more water can be added to the bucket before it
overflows? Explain how you solved this problem.
The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
How to define the function?The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
f(x) = 8x³ + 4x² - 6x + 5.g(x) = 2x³ + x² - 4x + 7.Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
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Help help help ASAP math math
Y=-1x+5
Slope intercept form is y=mx+b
m = slope
b = y intercept
As you can see from the line, the y-intercept if 5, so b is 5. To find the slope, we take two points, I'm using (0,5) and (2,3), and then divide change y by change in x or y2-y1 / x2-x1
3-5 / 2-0
= -2/2= -1
The slope is -1, so m is -1.
y=-1x+5
The calculation of the mean of a population and the expected value of the probability mass function of a Random Variable (RV) are quite similar. Consider a probability mass function that contains 4 unique Random Variables: 100, 200, 300, 400. If the expected value of the RV can be calculated by simply taking the average of the RVs, what can be said about the corresponding probabilities of each of the 4 RVs
Answer: Hello the options related to your question is missing attached below are the missing options.
A.) The probabilities of the RVs may be equal
B.) The sum of the probabilities of the RVs exceed 1
C.) This is an impossible occurrence
D.) The probabilities of the RVs must be equal
E.) None of the above
answer:
The probabilities of the RVs may be equal ( A )
Step-by-step explanation:
Given that the value of the population mean and the value of probability mass function of a set of random variables are similar
For the Random Variables : 100,200,300,400
The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4
Hence The probabilities of the RVs may be equal
Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
Answer:
C. 6^6 = 46,656
Step-by-step explanation:
6^9 is the same as
6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 which equals 10,077,696. (yes, I used a calculator for this part, btw)
6^3 is the same as 6 × 6 × 6 which equals 216.
10,077,696 ÷ 216 = 46,656
Now we find the answer choice that also equals 46,656.
A. 12^6 = 2,985,984
B. 6^3 = 216
C. 6^6 = 46,656
D. 6^-5 = 1/7776 or 0.0001
Hope this helps :)
In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).
To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results
x² - 4 = 0
Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.
x² = -4
Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.
3x² + 12 = 0
Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.
4x² = 16
Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.
2(x - 2)² = 0
Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.
Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).
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I need help solving this math problem, step by step and the answer (72/-2)^2
\(( \frac{ - 72}{2} )^{2} \\ = \frac{ - 72 \times - 72}{2 \times 2} \\ = \frac{5184}{4} = 1296\)
The answer is 1296.the answer of the equation is 1296
Can you match it with the picture
Answer: 24-(8/2)+6=26
3+6X2/3=7
4X4+3=19
Step-by-step explanation:
The slope of the line that passes through the points (-6, w) and (-10, 4) is 1/4.
What is the value of w?
A-3
B-12
C 5
D 2
if you depsoit $1000 at 100% simple interest, what will your ending balance be after one year
Answer:
$2,000
Step-by-step explanation:
A=P(rincipal)R(ate)T(ime)
1000*1*1=1000
1000(principal)+1000(interest)=2,000(total)
My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap
Try it Now 1
At some random moment, you look at your clock and note the minutes reading.
a. What is probability the minutes reading is 15?
b. What is the probability the minutes reading is 15 or less?
a) The probability the minutes reading is 15 is 1.667%.
b) The probability the minutes reading is 15 or less is 25%.
What is the probability?Probability is the likelihood or chance that an expected outcome occurs when other events can equally happen or occur.
Probability is a fractional value when it is less than 1 and more than 0. When the event is inevitable, its probability is depicted as 1. On the other hand, when the event is unlikely to occur, its probability is shown as 0.
As a fractional value, we use decimals, fractions, and percentages to show probability.
The probability of the minutes reading being 15 = 1/60 or 1.667% (1/60 x 100)
The probability of the minutes reading being 15 or less = 25% (1.667% x 15) or (15/60 x 100).
Thus, there is a one in 60 chance that the minute reading is 15 and a 25% in 60 cases that the minute reading is 15 or less.
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600 is how many times as much as 200
Answer:
3
Step-by-step explanation:
200 x 3 = 600
We solve through simple division.
To do this, divide 600, which is the largest number, by 200, which is the smallest number.
600 ➗ 200 = 3Therefore, 600 is three times 200.
What is the length of line segment AB?
1 inch
√3 inches
4 inches
4√3 inches
The value of length of line segments AB is 1.73
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The trigonometric functions are;
sin θ = opp/hyp
cosθ = adj/hyp
tanθ = opp/adj
in the triangle ABD;
the hypotenuse = 2
angle BDA = 60°
Taking reference from angle BDA,line BD is the opposite side.
Therefore;
sin60 = x/2
0.866 ×2 = x
x = 1.73
Therefore, the value of AB is 1.73
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a bridge in the shape of a parabolic arch is modelled by this function (see pic).
Answer:
(C) 25,35 and 175,35
Find an equation of a plane through the point (3, 0, 2) which is orthogonal to the linex=?2+3t,y=2+4t,z=?1?3tin which the coefficient of x is 3.
Answer: 3x + 4y - 3z - 3 = 0
Step-by-step explanation:
with the given point (3, 0, 2), the plane is orthogonal to this line so it
has directional ratios (3, 4, -3)
therefore the given equation can be written as;
(x+2)/3 = (y-2)/4 = (z+1)/-3
so equation of the plane passing through point x1, y1 and z1 in the one point form is given as;
a(x-x1) + b(y - y1) + c(z -z1) = 0
abc represent the direction ratio
so we substitute
3(x-3) + 4(y-0) + (-3(z-2)) = 0
3x - 9 + 4y - 0 - 3z + 6 = 0
3x + 4y - 3z - 3 = 0
therefore the equation of the plane through the point is 3x + 4y - 3z - 3 = 0
(Geometry) PLZ HELP ASAP
Answer:
121 square feet
Step-by-step explanation:
The area of a triangle is the height multiplied by the base divided by 2. Since this is a right triangle, you can simply use the two legs for this. The area of this triangle is therefore:
\(\dfrac{24.2\cdot 10}{2}=\dfrac{242}{2}=121\)
Hope this helps!
Answer:
Area: 121 feet²
Step-by-step explanation:
The formula for the area of any triangle is \(\frac{1}{2} *b*h\)
This triangle's base is 10 feet
This triangle's height is 24.2 feet
\(\frac{1}{2} *10*24.2=\\5*24.2=\\121\)
The area of the triangle is 121 square feet or 121 ft²
12≥ -4 k (solve for k)
Answer:
\(k\ge \:-3\)
Step-by-step explanation:
\(12\ge \:-4k\)
\(-4k\le \:12\)
\(\left(-4k\right)\left(-1\right)\ge \:12\left(-1\right)\)
\(4k\ge \:-12\)
\(\frac{4k}{4}\ge \frac{-12}{4}\)
\(k\ge \:-3\)
Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
What is the mean?
1 6 1 10 5 5 7
Answer:
5
Step-by-step explanation:
if u add al of these it equals 35 divided by 7 equals 5
please help im having a really hard time in math i could use some help
Answer:
answer a
Step-by-step explanation:
im pretty sure its this one, i used desmos graphing calculator- it's a really helpful tool and i would recommend using it if you're having a bit of a hard time!
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
A banner is made of a square and a semicircle. The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
Answer:
673.97 in²
Step-by-step explanation:
Area Square: l²
22 x 22484Area Semi Circle: 1/2(πr²) using 3.14 for π
1/2(3.14*11*11)1/2(379.94)189.97Total Area:
189.97 + 484673.97-Chetan K
Answer:
673.42
Step-by-step explanation:
You have to put3;4 and divided by 22 inches