Dev's velocity is \(\sqrt{5}\). Thus option B.
What is kinetic energy?Kinetic energy is a amount of energy possessed when an object is in motion. Such that;
KE = 1/2 m v^2
Where m = mass, v = velocity
It is measured in Joules.
From the given question, we have;
KE = 1/2 m v^2
2KE = m v^2
v^2 = 2KE/ m
= (2*150)/ 60
= 300/ 60
= 5
V = (5)^1/2
The velocity of Dev is B. \(\sqrt{5}\).
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Which of the following is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?
The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.
The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.
Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.
The inverse sine of 0.707 is π/4 radians or 45 degrees.
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What is X? 3(-x-3)+x-3=-24
Answer:
x is equal to 6
Step-by-step explanation:
Hey there!
3(-x-3) + x-3= -24
Multiply"3" and (-x-3).
-3x - 9 + x - 3 = -24
Add or subtract like terms.
-2x - 12 = -24
Shift "-12" in right side.
-2x = -24+12
-2x = -12
Divide "-12" by "-2".
X = -12/-2
Therefore, x= 6.
Hope it helps...
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
what is 2 4/5 divided by 7/8?
Answer: 3.2 or 16/5
Step-by-step explanation:
the mixed number would be 3 1/5
a number from 17 to27 is drawn at random p(a prime number)
Given:
Number of numbers etween 17 ato 27 = 11
Required: Probability of choosing number from 17 to 27
Explanation:
Required probability
\(\begin{gathered} =\frac{Number\text{ of favorable outcomes}}{\text{ Total number of outcomes}} \\ =\frac{1}{11} \end{gathered}\)Final Answer: Probability of drawing a number from 17 to 27 is 1/11.
What is the volume if
the base is 48 square inches and height is 8 inches
Answer:
Assuming you mean a rectangular prism, cube, or triangular prism,the volume would be 384.
Step-by-step explanation:
Well volume for those two shapes could be b*h
SO base times height is always gonna give you volume for most shapes
-4x< 8 help please solving one step inequalities
Answer:
x>-2
Step-by-step explanation:
when dividing by a negative number, the inequality sign flips.
Answer:
x > -2
Step-by-step explanation:
-4x< 8 (divide both sides by -4)
-x < 8/4
-x < 2 (divide or multiply both sides by -1, remember to flip the inequality when multiplying or dividing by -1)
x > 2 (-1)
x > -2
Divide. (54t2−81t)÷(9t)
Answer:
The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.
Step-by-step explanation:
Answer:
81t2+16
Step-by-step explanation:
(9t-4)(-9t-4) : Equation
Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.
Where : a=9t, b=-4, c=-9t, d=-4.
This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).
Now we have to Apply minus-plus rule.
Where: -(-a)=a.+(-a)=-a
-9t.9t - 9t.4 + 4.9t = 4.4
=81t2+16
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127 - Lesson 4-7: MathXL for School: Additional Practice Copy 1 4.7.AP-1 Write an equivalent expression without parentheses. Then simplify the result. m-(8-3m) Which expression is equivalent to m - (8 - 3m)? O A. m +8 - 3m OB. m - 8 + 3m OC. m - 8 - 3m OD. m + 8 + 3m Click to select your answer and then click Check Answer.
Write an equivalent expression without parentheses. Then simplify the result. m-(8-3m) Which expression is equivalent to m - (8 - 3m)? O A. m +8 - 3m OB. m - 8 + 3m OC. m - 8 - 3m OD. m + 8 + 3m Click to select your answer and then click Check Answer.
we have the expression
m - (8 - 3m)
remove the parenthesis
m-8+3m
combine like terms
4m-8
answer is option BB. m - 8 + 3m
The image of the point (2, 1) under a translation is (5, -3). Find
the coordinates of the image of the point (6,6) under the same
translation.
A) (10,-3)
B) (12,12)
C) (9,2)
D) (7,-2)
Answer:
The coordinates of the image of the point (6,6) under the same translation is: (9, 2)
Hence, option C is correct.
Step-by-step explanation:
The image of the point (2, 1) under a translation is (5, -3).
It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).
Thus,
The rule of translation can be formulated such as:
(x, y) → (x + 3, y - 4)
(2, 1) → (2 + 3, 1 - 4) → (5, -3)
Thus,
Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):
(x, y) → (x + 3, y - 4)
(6, 6) → (6 + 3, 6 - 4) → (9, 2)
Therefore, the coordinates of the image of the point (6,6) under the same translation is: (9, 2)
Hence, option C is correct.
Find y
please please please help
Answer: \(y=26^{\circ}\)
Step-by-step explanation:
Using linear pairs, we can determine the two angles in the picture attached.
Thus, as angles in a triangle add to \(180^{\circ}\), \(y=26^{\circ}\)
A salesperson earns a commission of $418 for selling $2200 in merchandise.
Find the commission rate. Write your answer as a percentage.
Based on the information given the commission rate is 19%.
Commission rate:To determine the commission rate we would have to divide the sales commission by the merchandise using this formula
Commission rate=Sales commission/Merchandise×100
Where:
Sales commission=$418
Merchandise=$2,200
Let plug in the formula
Commission rate=$418/$2,200×100
Commission rate=19%
Inconclusion the commission rate is 19%.
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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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PLEASE HELP
Question 5 of 10
f(x) = 4.2? + 52 - 3
g(x) = 4.23 – 3.2 + 5
-
Find (f +g)(x).
O A. (f +g)(x) = -4x + 7x² + 5x – 8
O B. (f +9)(z) = 4x + x2 + 5x + 2
O c. (f +9)(x) = 8x + 2x + 2
OD. (f+g)(x) = 4.c.3 + 4x2 + 2x + 2
Step-by-step explanation:
arithmetic operations in functions are simple : you take both expressions and apply the arithmetic operation on them.
in our case : addition.
f(x) = 4x² + 5x - 3
g(x) = 4x³ - 3x² + 5
(f+g)(x) = (4x² + 5x - 3) + (4x³ - 3x² + 5) =
= 4x² + 5x - 3 + 4x³ - 3x² + 5 =
= 4x³ + x² + 5x + 2
so, B should be the right answer (despite all the typos there).
The combined amount of ingredients are sugar, brown and white 8 cups, write an addition equation to solve how many cups of brown sugar was added if the chef used 4 cups of sugar
Answer: Yo MAMA + Yo nasty daddy = them having a mistake which is you lol
Step-by-step explanation:
find the area of square whose side is 2.5 cm
Answer:
6.25
Step-by-step explanation:
2.5 *2.5=6.25
Answer:
6.25cm^2.
Step-by-step explanation:
To find the area of a square, you multiply the two sides, 2.5✖️2.5.
This gives the area of 6.25cm^2.
Hope this helped!
Have a nice day:)
PLEASE HELP! I JUST NEED TO KNOW HOW YOU SOLVE THIS!!! SEE ATTACHED!!! WILL MARK YOU BRAINLIEST!!! Surface Area
The surface area of the complex solid is 530 square yards.
How to determine the surface area of a complex solid
In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:
A = w · h
Where:
A - Area, in square yards.w - Width, in yardsh - Height, in yards.The surface area of the complex solid is:
A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)
A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²
A = 530 yd²
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Cuantas Escuelas de administración hay ?
Help me out which one be sure your right
Answer: the slope of the line is 0
Step-by-step explanation:
What is the image point of (5,0)(5,0) after a translation right 5 units and down 3 units?
Answer:
(10,-3)
Step-by-step explanation:
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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which property in math is (n+2.9)+0.3=n+(2.9+0.3)
Notice that the order the numbers are written on both sides is the same:
n, then 2.9, then 0.3
Because the order is the same and all that changed were the parentheses (the way the numbers were grouped), this is the associative property of addition.
The associative property is about the groupings. You can remember this by thinking about that fact that associations are groups.
explain why the statement x < 3 or > 5 cannot be written 5 < x < 3
Answer:
This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.
Step-by-step explanation:
x < 3 or x > 5
This means, x is less than 3, but greater than 5.
Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.
Kanta read 2/3 of her chemistry book containing 420 pages Krishna read 3/49f the same who read more pages and by how many pages
Answer:255
Step-by-step explanation:
Find the value of x
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
A football team scored 16 points, which was 12 fewer points than their opponents scored. How many points, y, did their opponents score? *
1 point
y = 24
y = 28
y = 4
y = 18
NEED HELP!!! 10 PIONTS
Answer:
Y = 28
Step-by-step explanation:
Y=16 + 12 = 24
Therefore the y scored 24 points
Is this the correct answer?
Answer:
Yes. This is half a square, a full square has 360 degrees total because it has 4 right angles which are each 90. We know that there is a 50 degree and 90 degree angle, and since this is split it is 180 total. 180-140=40 degrees, so yes.