Answer:
The test statistic used to determine whether a particular predictor in a regression analysis is statistically significant is:
\(t=\frac{\beta_{i}}{S.E._{\beta_{i}}}\)
Step-by-step explanation:
The general form of a regression equation is:
\(y=\alpha +\beta_{1}x_{1}+\beta_{2}x_{2}+...+\beta_{n}x_{n}\)
Here,
α = y-intercept
βi = regression coefficients, (i = 1, 2, ..., n)
A regression analysis is performed to determine whether the predictor variables are statistically significant or not.
The output of the regression analysis consists of two tables.
One is the regression output and the other is the ANOVA table.
The regression output table is used to display which predictor variables are statistically significant and which are not.
The test statistic used to determine whether a particular predictor in a regression analysis is statistically significant is:
\(t=\frac{\beta_{i}}{S.E._{\beta_{i}}}\)
And the ANOVA table displays overall regression analysis.
The F-test statistic is used to for the overall regression analysis.
Thus, the test statistic used to determine whether a particular predictor in a regression analysis is statistically significant is:
\(t=\frac{\beta_{i}}{S.E._{\beta_{i}}}\)
What’s the equation of this graph?
Answer:6/3
Step-by-step explanation: You are basically looking at the end of the line and where the number is that number is basically your answer it's The X axis in the Y axis
Hope this help♏
Use a number line to round the number 573 to the nearest 10.
Answer: The answer is 570.
Step-by-step explanation:
So, if you know what numbers are, when you round, this question is easy. If you take a number line and put 570 on the left side and 580 on the right side, and 575 in the middle, you almost got it. Since the number we want to round is 573, we put it in the middle of 570 and 575. And since the number is closer to 570 than 580, the answer is 570. Your welcome!
I need help with this question
Answer:
5/7
Step-by-step explanation:
ratio of boys to girls---> 2:5
ratio sum: 2+5=7
girls ratio =5/7
OR
total of people in 7th grade choir=28
hence, no of girls in 7th grade choir=5/7 × 28
=20
proportion of girls in choir= 20/28 = 5/7
How to graph:
((x^2-1)(x-2))/(x-3)
Please explain, I am very bad at understanding.
Therefore, we solve the equation.\((x^2-1)(x-2) = 0\) to find the x-intercepts:
\(x^2-1 = 0 , x-2=0\)
x = ±1, x = 2
What is equation?An equation is a mathematical statement that shows the equality of two expressions using an equal sign (=). It is a way to describe a relationship or a condition between two or more variables.
For example, the equation "\(2x + 3 = 7\)" is an equation with the variable "x". It states that if we substitute "x" with the value "2", then the left-hand side of the equation will equal the right-hand side of the equation. In this case, 2 times 2 plus 3 is equal to 7.
To graph the function. \(f(x) = ((x^2-1)(x-2))/(x-3)\), we can start by identifying any vertical or horizontal asymptotes, x-intercepts, y-intercepts, and the behavior of the function as x approaches positive and negative infinity.
Vertical Asymptotes:
A vertical asymptote occurs when the denominator of the function equals zero. In this case, the denominator is (x-3), which equals zero when x = 3. Therefore, we have a vertical asymptote at x = 3.
Horizontal Asymptotes:
To determine the horizontal asymptote, we need to look at the behavior of the function as x approaches positive or negative infinity. One way to do this is to use long division to simplify the function:
\((x^2-1)(x-2) / (x-3)\)
\(= x^2 - x - 2 + (5x - 7)/(x - 3)\)
As x approaches infinity or negative infinity, the term \((5x - 7)/(x - 3)\) becomes very small compared to \(x^2\), so we can ignore it. Therefore, the function approaches \(y = x^2\)as x approaches positive or negative infinity. This means that. \(y = x^2\)is the horizontal asymptote.
X-Intercepts:
To find the x-intercepts, we set f(x) equal to zero and solve for x:
\(((x^2-1)(x-2))/(x-3) = 0\)
This equation is equal to zero only if the numerator equals zero, since division by zero is undefined. Therefore, we solve the equation. \((x^2-1)(x-2) = 0\) to find the x-intercepts:
\(x^2-1 = 0 , x-2=0\)
x = ±1, x = 2
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9965 divided by 19.9 estimate
Answer: 500.7
500.75 = 500.7
Step-by-step explanation:
The estimated value is 500
What is estimation?Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').
Given that, 9965 divided by 19.9 estimate
Let 9965 ≈ 9970
19.9 ≈ 20
9970 ÷ 20
9970 / 20
= 498.5
≈ 500
Hence, the estimated value is 500.
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What Is the slope of the line on the graph?
Answer:
1/2 or 0.5
Step-by-step explanation:
m=y2-y1/x2-x1
I'll use the points (2,3) and (4,4) on the line
4-3=1
4-2=2
1/2=1/2 or 0.5
hope this helps :3
The average number of road accidents that occur on a particular stretch of road during a year is 11.
P (X = k) n
k s
Using the Poisson distribution formula, what is the probability of observing exactly 7 accidents on this stretch of road next year
Answer:
0.06
Step-by-step explanation:
Given that :
Average number of road accident (n) = 11
Probability of observing exactly 7 accident o. The stretch of road next year
Poisson random variable (k) = 7
Using the poisson distribution formula :
P(x = k) = (n^k * e^-n) / k!
P(x = 7) = (11^7 × e^-11) / 7!
P(x = 7) = (19487171 × 0.0000167017) / 5040
P(x = 7) = 325.4688838907 / 5040
P(x = 7) = 0.0645771
= 0.06
Plz help me! Well put brainliest
Fred brought a shirt and a wallet for a total of 34.26 before tax. The price of the wallet was $15 less than the price of the shirt. What was the price of the shirt?
Answer:
The price of the shirt is $24.63.
Step-by-step explanation:
Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:
x + (x - 15) = 34.26
Simplifying, we get:
2x - 15 = 34.26
Adding 15 on both sides:
2x = 49.26
Dividing by 2:
x = 24.63
Therefore, the price of the shirt is $24.63.
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
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Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
\(f(x) = (x + 4)^2\)
Set x = 0, to calculate the y-intercept
\(f(0) = (0 + 4)^2\)
Evaluate
\(f(0) = 16\)
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
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1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. (Round monthly payment calculations to 2 decimal places.)
Using it's formula, it is found that her monthly payment for the loan will be of $163.45.
What is the monthly payment formula?It is given by:
\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)
In which:
P is the initial amount.r is the interest rate.n is the number of payments.In this problem, the parameters are given as follows:
P = 10900, r = 0.068, n = 7 x 12 = 84.
Hence:
r/12 = 0.068/12 = 0.005667.
Hence the monthly payment will be given by:
\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)
\(A = 10900\frac{0.005667(1 + 0.005667)^{84}}{(1 + 0.005667)^{84} - 1}\)
A = 163.45.
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7k( − k + 6) pls help
Answer:
-7k^2+42k
LOL thats what i got
1/3(6-9j)
PLEASE HELP!!!
Answer:
2-3j
Step-by-step explanation:
Distribute 1/3 to the rest of the equation and you'll get 2-3j
I hope this helps!
Please help!!!!
Find the surface area of the composite figure below to
the nearest tenth.
Answer:
16801.2cm²
Step-by-step explanation:
Cone :
SA = πrl
SA = π · 28 · 45 90-45 = 45
SA = 3958.406744
Cylinder :
SA = 2 · π · r · ( r+h)
SA = 2 · π · 28 ( 28 +45 )
SA = 2 · π · 28 (73)
SA = 12842.83077
12842.83077 + 3958.406744 =
16801.2cm²
If x = 2, y = 3 and z = -5, find the value of square root of x + y squared + z squared
The value of square root of x + y squared + z squared is 30
How to solve algebra?x = 2, y = 3 and z = -5
\(( \sqrt{x + y} )^{2} + z ^{2} \)
substitute the value of x, y and z
\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)
simplify the square root and square
\( = (2 + 3) + 25\)
\( = 5 + 25\)
\( = 30\)
Ultimately, x + y squared + z squared is 30
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a tank truck holds 33.8 kl of oil. How many gallons does it hold
If f(x)= x+7 and g(x)= 1/x-13
Ralph Chase plans to sell a piece of property for $160000. He wants the money to be paid off in two ways −a short-term note at 9% interest and a long-term note at 7% interest. Find the amount of each note if the total annual interest paid is $12900.
The amount of the 9% note is $___ and the amount of the 7% note is $___?
Answer:
9%=15,000
7%=12,000
thats what i think.
Answer:
The amount of 12% note is $90,000
The amount of 9% note is $80,000
Step-by-step explanation:
Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"
Selling price = $170,000
Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)
Given total annual interest = $18,000
Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)
18,000 = 0.12x + 0.09*(170000 - x)
18,000 = 0.12x + 15,300 - 0.09x
18,000 = 0.03x + 15,300
0.03x = 18,000 - 15,300
0.03x = 2,700
x = 2,700/0.03
x = 90,000
So, the amount of 12% note is $90,000
So long term paid money = $170,000 - $90,000 = $80,000
So, the amount of 9% note is $80,000
Step-by-step explanation:
If the sum of the 7th and 11th terms of an Arithmetic Progression is 35 and the sum of 9th and 13th terms
is 65 then find the sum of the first 15 terms of that Arithmetic Progression.
The total sum of the first 15 terms of the given arithmetic progression for a given problem is 1200.
initially, we have to discover the common difference
let the common difference for this question be d,
the primary term can be considered as a.
From the given information,
the whole of the 7th and 11th terms of an Arithmetic Progression is 35
At that point, the 7th term may be a + 6d, and the 11th term could be a + 10d.
and the summation of both terms is 35,
which gives the condition (a + 6d) + (a + 10d) = 35
reducing the condition, we get condition (i)
2a + 16d = 35 .......(i)
Essentially, the 9th term could ( a + 8d), and the 13th term is (a + 12d). and as per the given information, the entirety of the 9th and 13th terms is 65:
which infers
(a + 8d) + (a + 12d) = 65
Streamlining this condition, we get:
2a + 20d = 65 ....(ii)
Presently, subtracting Condition (i) from Condition (ii), we get:
2a + 16d - 2a - 20d = 35 -65
-4d = -30
d = 7.5
Substituting this esteem of d into Condition (i) and Condition (ii), ready to fathom for a:
2a + 16(7.5) = 35
2a + 120 = 35
2a = -85
a = -42.5
In this manner, the common difference within the arithmetic progression is 7.5 and the first term is -42.5.
To discover the sum of the primary 15 terms of the arithmetic progression, we can use the equation:
S = (n/2)(2a + (n-1)d)
where S is the sum of the first n terms
a is the first term = -42.5.
d may be a common difference = 7.5
and n is the number of terms= 15
Substituting the values we have found, we get S = (15/2)(2(-42.5) + (15-1)(7.5))
S = 15(-25 + 14(7.5))
S = 15(80)
S = 1200
Subsequently, the sum of the first 15 terms of the arithmetic progression is 1200.
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The dot plot shows how many customers purchased different numbers of shirts at a sale last weekend.
The interquartile range IQR of a dataset is the difference between the upper and lower quartiles, Q3 and Q1
The median of the whole dataset is Q2 and corresponds to the value x=3.5
The value of Q1 is the median of the lower 3 values: Q1=2
The value of Q3 is the median of the upper 3 values: Q3=5
The IQR is: 5 - 2 = 3
translate the sentence into an equation.
Three less than the product of 2 and a number is 4 .
Use the variable x for the unknown number.
The answer of the given question based on the the sentence into an equation is , 2x - 3 = 4.
What is Equation?In mathematics, equation is statement that asserts equality of the two mathematical expressions. It typically contains variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponentiation, and logarithm. An equation usually consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The values of the variables that satisfy the equation are called its solutions.
The sentence be translated into equation are as follows:
2x - 3 = 4
where x is the unknown number.
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Please help please hurryyyy
u still doing it or no just txt if ur not
I will give braniest to the person that answers all of the given questions
A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 13 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
a. Write the equation. Let d be the distance of the flowerbed from the hive
Answer:
Below in bold.
Step-by-step explanation:
a. Distance = speed * time
d = st
So substituting in the given values:
d = 20t where t is the time it takes to travel from the hive to the flowerbed.
The total time that the bee is inflight = 13-11 = 2 minutes
= 120 seconds.
So for the return flight the time taken is (120-t) seconds.
So d = 16(120 - t).
and we can find the distance from the hive to flowerbed by solving the the 2 equations highlighted.
b, d = 20t
d = 16(120 - t).
As both right side expressions are equal to d we can write:
20t = 16(120 - t)
20t = 1920 - 16t
20t+ 16t = 1920
t = 1920/36
= 53.33 seconds.
So the distance from hive to flowerbed
= 53.33 * 20
= 1066.67 feet.
How many edges does a right circular cone have?
0
1
2
3
Answer:
A right circular cone has only one circular edge
Step-by-step explanation:
You're welcome.
The area model shows 2 1 4
What is 2 x 2 1/4?
2 1/2
2 3/4
4 1/4
4 1/2
Answer:
4 1/2
Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2
Compare continuous functions f, g, and h, and match the statements with the function they best describe.
Drag each description to the correct location on the table.
Answer: see attached
Step-by-step explanation:
From the given properties of the functions,
Function 'f' is decreasing in the longest interval [-0.8, 0.6]Lowest y-intercept → y = -1 (function g)Highest y-intercept → y = 3 (function h)Function 'h' in increasing in the longest interval → (-∞, ∞)Functions given in the picture are 'f', 'g' and 'h'.
From the graph given for function 'f',
y - intercept = 1
Increasing in the interval → (-∞, -0.8] and (0.6, ∞)
Decreasing in the interval → [-0.8, 0.6]
From the table given for the function 'g',
Decreasing in the interval → [-2, 2]
y-intercept = -1
For function 'h',
h(x) = 4x³ + 3
Table of the input-output values for function will be,
x h(x)
-2 -29
-1 -1
0 3
1 7
2 35
Therefore, function 'h' will increase in the interval → (-∞, ∞)
y-intercept → y = 3
Therefore, from these properties of the functions we conclude,
Function 'f' is decreasing in the longest interval [-0.8, 0.6]Lowest y-intercept → y = -1 (function g)Highest y-intercept → y = 3 (function h)Function 'h' in increasing in the longest interval → (-∞, ∞)Learn more,
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Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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