Answer:
1. C. 8.06
2.
a: obtuse
b: acute
3. 50 miles
\(48^{2} +14^{2} = c^{2}\)
\(2304 + 196 = c^{2}\)
\(2500 = c^{2}\)
\(\sqrt{2500} = \sqrt{c}\)
\(50 = c\)
#2. If more than one indepedent variables have larger than 10 VIFs, which one is correct? Choose all applied.
a. Always, we can eliminate one whose VIF is the largest.
b. Eliminate one which you think is the least related with the dependent variable.
c. We can eliminate all independent variables whose VIFs are larger than one at the same time.
d. If we can not judge which one is the least related with the depedent variable, then eliminate one whose VIF is the largest.
In dealing with multicollinearity, a common approach is to examine the Variance Inflation Factor (VIF) for each independent variable. VIF values larger than 10 indicate a potential issue with multicollinearity. When facing multiple independent variables with VIFs greater than 10, choosing the correct course of action is important.
a. It is not always advisable to eliminate the variable with the largest VIF, as it may hold valuable information for the model.b. Eliminating the variable that you think is the least related to the dependent variable can be a reasonable approach, provided that you have a strong rationale for your choice and the remaining variables do not exhibit severe multicollinearity.c. It is not recommended to eliminate all independent variables with VIFs larger than 10 at once, as this could lead to an oversimplified model that may not adequately capture the relationships between variables.d. If you cannot determine which variable is the least related to the dependent variable, eliminating the one with the largest VIF can be a practical approach, but it should be done cautiously, considering the potential impact on the overall model.
In conclusion, when multiple independent variables have VIFs larger than 10, it is important to carefully evaluate the relationships between the variables and the dependent variable to determine the most appropriate course of action, considering both the statistical properties and the underlying subject matter.
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devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18mm. to get the wax for the candle, devin melts blocks of wax that are each 8 mm by 6mm by 5mm. how many of the wax cubes will devin need in order to make the candle? show all formulas and calculations
Answer:
(1/3)(9*9*10)=270cm^3 pyramid volume
270/(4*4*4)=4.22cubes
round
5 wax cubes
The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms
4th term of an AP = 10
11th term exceeds 4th term by 1.
Find:the sum of 20 terms
Solution:⟹ 11th term = 10 + 11 = 11.
We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a₄ = a + (4 - 1)d
⟹ a + 3d = 10
⟹ a = 10 - 3d -- equation (1)
⟹ a₁₁ = a + (11 - 1)d
Substitute the value of a from equation (1).
⟹ 10 - 3d + 10d = 11
⟹ 7d = 11 - 10
⟹ 7d = 1
⟹ d = 1/7
Substitute the value of d in equation (1).
⟹ a = 10 - 3(1/7)
⟹ a = (70 - 3)/7
⟹ a = 67/7
Now,
Sum of first n terms of an AP (Sn) = n/2 * [ 2a + (n - 1)d ]
⟹ S₂₀ = 20/2 * [ 2(67/7) + (20 - 1)(1/7) ]
⟹ S₂₀ = 10 (134 + 19)/7
⟹ S₂₀ = 1530/7
∴ Sum of first 20 terms of the given AP is 1530/7.
I hope it will help you.
Regards.
Answer:
→ 11(2 + y) + 11y
→ 22 + 11y + 11y = 154
→ 22y + 22 = 154
→ 22y = 154 - 22
→ 22y = 132
→ y = 132/22
→ y = 6
Step-by-step explanation:
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49. 6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49. What error did the pet store owner make? There is a multiplication error. The payment should be $48 per month. There is a multiplication error. The payment should be $58 per month. 6 goes into 288 forty-six times. The answer is $46. 6 goes into 48 nine times. $49 is correct.
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
do anyone know this? asap
Answer:
2 and -1/2 since -1/2 is negative the answer is 2
Step-by-step explanation:
I plugged the values into the quadratic formula
Since the area of the circle is startfraction pi over 4 endfraction the area of the square, the volume of the cone equals startfraction pi over 4 endfraction the volume of the pyramid or startfraction pi over 4 endfractionstartfraction pi over 4 endfraction (startfraction (2 r) (h) over 3 endfraction) or one-sixthπrh. startfraction pi over 4 endfraction the volume of the pyramid or startfraction pi over 4 endfractionstartfraction pi over 4 endfraction (startfraction (2 r) squared (h) over 3 endfraction) or one-thirdπr2h. startfraction pi over 2 endfraction the volume of the pyramid or startfraction pi over 2 endfraction or two-thirdsπr2h. startfraction pi over 2 endfraction the volume of the pyramid or startfraction pi over 4 endfraction or one-thirdπr2h.
The volume of the cone is one-third the volume of the pyramid, the area of the circle is pi/4 the area of the square because the radius of the circle is half the side length of the square.
The volume of the cone is one-third the volume of the pyramid because the cone's base is a sector of the square, and the sector takes up one-third of the square's area.
Volume of a cone: The volume of a cone is equal to (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Volume of a pyramid: The volume of a pyramid is equal to (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
In the problem, we are told that the area of the circle is pi/4 the area of the square. This means that the radius of the circle is half the side length of the square. We can use this information to find the volume of the cone and the pyramid.
Volume of the cone: The radius of the cone is half the side length of the square, so r = s/2. The height of the cone is h. The area of the base of the cone is (pi)(r²) = (pi)(s²/4). So, the volume of the cone is (1/3)π(s²/4)h = (1/12)πs²h.
Volume of the pyramid: The area of the base of the pyramid is the same as the area of the base of the cone, which is (pi)(s²/4). The height of the pyramid is the same as the height of the cone, which is h. So, the volume of the pyramid is (1/3)π(s²/4)h = (1/12)πs²h.
As you can see, the volume of the cone is equal to one-third the volume of the pyramid.
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Please help me get the right answer please I can’t fail.
Answer:
A.
Step-by-step explanation:
it’s A because it has addition (sum) and it has multiplication (product)
Given the bag of marbles below, determine the probability of drawing blue, then green, then blue, then blue with replacement
Answer:
bule is in the spot of green in the sixth place of box 5
Step-by-step explanation:
Help me out please???
ayo i need help this is vv hard or i’m jus dumb.
A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. What is the dependent variable
Using variable concepts, of dependent and independent variables, it is found that the dependent variable is the amount of sales dollars earned.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.That is, the input of the function is the independent variable and the output is the dependent variable.In this problem, the manager believes that the amount of sales dollars earned is a function of the number of contacts that the salesperson makes, hence:
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Write the line 3x+2y-7=0 in the form y=mx+b
Answer:y=(7/2)-(3/2)x
Step-by-step explanation:
3x+2y-7=0
3x+2y=7
2y=7-3x
y=(7/2)-(3/2)x
What is the value of x when y=550?
When I wrote this problem out the lines are just to help guide where the dots are they do not actually have to be there. 25 points.
Find the area, Show steps please
Answer:
area = 8.75 ft²
Step-by-step explanation:
area = 1/2bh
area = 1/2(7)(2.5) = 8.75 ft²
Find the value of x and y.
Answer:
4number is the answer
sin30
if the tangent line to y = f ( x ) at ( 6 , 2 ) passes through the point ( 0 , 1 ) , find f ( 6 ) and f ' ( 6 ) .
if the tangent line to y = f ( x ) at ( 6 , 2 ) passes through the point ( 0 , 1 ) , then f(6) = 2 and f'(6) = 1/6.
To find f(6), we can use the fact that the tangent line to y = f(x) at (6, 2) passes through the point (0, 1). The equation of a line can be written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Since the line passes through (6, 2) and (0, 1), we can substitute these values into the equation to get:
2 - 1 = m(6 - 0)
1 = 6m
Solving for m, we find m = 1/6.
Since the slope of the tangent line is equal to the derivative of f(x) at x = 6, we have f'(6) = 1/6.
Now, to find f(6), we can integrate f'(x) with respect to x:
f(x) = ∫(f'(x))dx = ∫(1/6)dx = (1/6)x + C
To find the value of C, we can substitute the point (6, 2) into the equation:
2 = (1/6)(6) + C
2 = 1 + C
C = 1
Therefore, f(x) = (1/6)x + 1.
Substituting x = 6 into the equation, we get:
f(6) = (1/6)(6) + 1 = 2.
So, f(6) = 2 and f'(6) = 1/6.
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If the distance between (b,6) and (9,6) is 4.5 units, find all possible values of b. (Enter your answers as a comma-separated list.) b=
All possible values of b are 13.05 and 4.95. Hence, the correct answer is b = 13.05, 4.95.
Given that the distance between (b, 6) and (9, 6) is 4.5 units. We need to find all possible values of b.To find all possible values of b, we need to use the distance formula which is given by; Distance formula = √(x2−x1)2+(y2−y1)2We know the coordinates of (b, 6) and (9, 6). Let's plug them into the formula. Distance between (b, 6) and (9, 6) is 4.5 units.4.5 = √((9 − b)2 + (6 − 6)2)Simplify and solve for b.16.25 = (9 − b)2(9 − b)2 = 16.25√(9 − b) = ±√16.25(9 − b) = ±4.05b1 = 9 + 4.05 = 13.05b2 = 9 − 4.05 = 4.95Therefore, all possible values of b are 13.05 and 4.95. Hence, the correct answer is b = 13.05, 4.95.
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Find the difference quotient of f; that is, find f(x+h)−f(x)/h ,h is not equal to 0, for the following function. Be sure to simplify. f(x)=x^2−6x+5
The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.
To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate
(f(x + h) - f(x)) / h, where h is not equal to 0.
First, let's find f(x + h):
\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)
\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)
\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)
Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:
\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)
= (2hx - 6h + h^2) / h
= 2x - 6 + h
Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.
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hearify is an online music streaming service. they want to introduce a new feature that automatically generates 60-minute long playlists of popular music in different genres. they want each playlist to be exactly 60 minutes long and to include the most highly rated songs possible. they develop the feature but discover that it takes a long time for the computer to consider all the possible combinations of songs, and that extra time costs them money. can the run time of the feature be improved? choose 1 answer:
Yes, they can speed up the run time by using a heuristic to output a playlist that is not optimal, but close enough.
A phase of the programming lifecycle is runtime. It is the period of time when a programme is simultaneously being executed by all external instructions required for proper operation. Some of these extraneous commands are built into programming languages and are known as runtime environments or runtime systems. The environment in which a programme or application is run is known as the runtime environment.
Programs may access all the features they want and operate independently of operating systems thanks to runtime environments, which is one of their main advantages. The runtime process is well-understood by most users of computer programmes, but it is crucial to software engineers because if flaws are identified in the code, the programme will throw runtime errors.
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A bird watcher meanders through the woods, walking 1.63 km due east, 0.767 km due south, and 3.47 km in a direction 62.1
∘
north of west. The time required for this trip is 1.275 h. Determine the magnitudes of the bird watcher's (a) displacement and (b) average velocity.
(a) The bird watcher's displacement is approximately 3.34 km.
(b) The bird watcher's average velocity is approximately 2.61 km/h in a direction 46.9 degrees north of east.
To determine the bird watcher's displacement, we need to find the straight-line distance from the starting point to the ending point. This can be calculated by treating the east and south components as negative and the north of west component as positive. Using vector addition, we can find the resultant vector which represents the displacement. The magnitude of the resultant vector gives us the displacement, which is approximately 3.34 km.
To find the average velocity, we divide the displacement by the time taken. The direction of the average velocity can be found by calculating the angle with respect to the positive x-axis. By using trigonometry, we can determine the angle to be approximately 46.9 degrees north of east. The magnitude of the average velocity is the displacement divided by the time, giving us approximately 2.61 km/h.
Therefore, the bird watcher's displacement is approximately 3.34 km, and their average velocity is approximately 2.61 km/h in a direction 46.9 degrees north of east.
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please help w this question!!!
Answer:
72
Step-by-step explanation:
The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.
QR = QT
3p = p +48 . . . . . . substitute the given measure expressions
2p = 48 . . . . . . . subtract p
p = 24 . . . . . . . divide by 2
QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT
QT = 72
Simplify the expression:
-3(3-4x) =
Answer:
- 9 + 12x
Step-by-step explanation:
- 3(3 - 4x) ← multiply each term in the parenthesis by - 3
= - 9 + 12x
Assume the number of births in a local hospital follows a poisson distribution and averages per day. what is the probability that no births will occur today?
The probability that no births will occur today is 0.1353 (approximately) found by using the Poisson distribution.
Given that the number of births in a local hospital follows a Poisson distribution and averages λ per day.
To find the probability that no births will occur today, we can use the formula of Poisson distribution.
Poisson distribution is given by
P(X = x) = e-λλx / x!,
where
P(X = x) is the probability of having x successes in a specific interval of time,
λ is the mean number of successes per unit time, e is the Euler’s number, which is approximately equal to 2.71828,
x is the number of successes we want to find, and
x! is the factorial of x (i.e. x! = x × (x - 1) × (x - 2) × ... × 3 × 2 × 1).
Here, the mean number of successes per day (λ) is
λ = 2
So, the probability that no births will occur today is
P(X = 0) = e-λλ0 / 0!
= e-2× 20 / 1
= e-2
= 0.1353 (approximately)
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A= round your answer to the nearest hundredth
\( \sin(a) = \frac{opposite}{hypotenuse \\ } \\ \\ \sin(a) = \frac{5}{8} \\ \\ a = \sin {}^{ - 1} ( \frac{5}{8} ) \\ \)
measure of A is approximately equal to 39°
HOPE IT HELPS
PLEASE MARK ME AS BRAINLIEST
Answer:
a^2=5^2+8^2
a^2=25+64
a^2=89
a=9.43398
9.43 to the nearest hundred
Step-by-step explanation:
we use the pythagorus theorem because our triangle is right angled
a^2=b^2+c^2
Please help me I have been stuck on this question forever
19 Step-by-step explanation:
Answer:
3.45 sqft
Step-by-step explanation:
Calculate all the areas individually, the 3 lateral sides are the same and using the formula for area we have 1/2 base times height. The height is 2 ft and the base is 1 ft so the area of one of the lateral sides is 1 ft.
There are three lateral sides so you multiply 1 by 3 to get 3.
The base is done the same way. It's base is 1 ft and it's height is 0.9ft so the area is 0.45.
3 + 0.45 = 3.45
The surface area is 3.45 sqft.
I could be wrong but the formula and process is the same, calculate the sides individually using the base height formula for area.
a deck of 52 cards has 4 queens. the deck is well-shuffled and you draw the first and last card (without replacement). what is the chance that the first card is a queen or the last card is a queen?
The probability that the first card drawn is a queen or the last card drawn is a queen is approximately 0.1538 or 15.38%.
The probability of drawing a queen as the first card is 4/52 or 1/13, since there are 4 queens in the deck and 52 total cards. The probability of drawing a queen as the last card is also 4/52 or 1/13, since the deck is well-shuffled and without replacement, so the probability of drawing a queen does not change.
However, if a queen is drawn as the first card, there are only 51 cards left in the deck and 3 queens remaining, so the probability of drawing a queen as the last card would be 3/51 or 1/17. Similarly, if a queen is not drawn as the first card, there would be 4 queens remaining in the deck of 51 cards, making the probability of drawing a queen as the last card 4/51.
To calculate the overall probability of drawing a queen as the first card or the last card, we can add the probabilities of each scenario: (1/13) + [(12/13) x (4/51)] + [(12/13) x (47/51) x (1/13)] = 0.1538, or approximately 15.38%.
Therefore, the probability that the first card drawn is a queen or the last card drawn is a queen is approximately 0.1538 or 15.38%
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2. Kadesh bought 20 shirts at a total cost of R 980. If the large shirts cost
R 50 and the small shirts cost R 40. How many of each size did he buy?
Answer:
18 large shirts
2 small shirts
Step-by-step explanation:
trial and error my boi
Beth performed an experiment in which she randomly drew one napkin at a time from a drawer, with replacement. The drawer contained one napkin each of gray, cyan, beige, lilac, and crimson colors. The results of her experiment are shown below.
Napkin Color Times Drawn
gray 7
cyan 20
beige 11
lilac 3
crimson 22
Based on the experiment above, predict the number of times a cyan napkin would be drawn if she performs the experiment a total of 189 times.
A.
60
B.
59
C.
61
D.
58
The expected number of times that a cyan napkin would be drawn if she performs the experiment a total of 189 times is given as follows:
A. 60.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of trials is given as follows:
7 + 20 + 11 + 3 + 22 = 63.
Hence the probability of drawing a cyan napkin is given as follows:
p = 20/63.
Meaning that the expected number of times that a cyan napkin would be drawn if she performs the experiment a total of 189 times is obtained as follows:
E(X) = 189 x 20/63
E(X) = 60.
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Determine whether the statement is true or false. Circle T for "Truth"or F for "False"
Please Explain your choice
1) T F If f and g are differentiable,
then
d [f (x) + g(x)] = f' (x) +g’ (x)
(2) T F If f and g are differentiable,
then
d/dx [f (x)g(x)] = f' (x)g'(x)
(3) T F If f and g are differentiable,
then
d/dx [f(g(x))] = f' (g(x))g'(x)
(4) T F If f is differentiable, then
Image for Determine whether the statement is true or false. Circle T for ''Truth'' or F for ''False'' Please Explai
(5) T F If f is differentiable, then
Image for Determine whether the statement is true or false. Circle T for ''Truth'' or F for ''False'' Please Explai
(6) T F
Image for Determine whether the statement is true or false. Circle T for ''Truth'' or F for ''False'' Please Explai
(7) T F
Image for Determine whether the statement is true or false. Circle T for ''Truth'' or F for ''False'' Please Explai
The statement is
TrueTrueTrueTrueTrueFalseTrue1) T - This statement is true. The derivative of a sum is the sum of the derivatives.
2) T - This statement is true. The derivative of a product is the sum of the derivatives of the factors multiplied by each other.
3) T - This statement is true. The derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.
4) T - This statement is true.
5) T - This statement is true.
6) F - This statement is false. The derivative of e^x is e^x, not e^(x+1).
7) T - This statement is true. The derivative of a constant is zero.
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