Two airlines each made 30 flights. The dot plots shown compare
how many minutes the actual arrival times were before or after
the scheduled arrival times of these flights.
Negative numbers represent the minutes the flight arrived before its scheduled time.
Positive numbers represent the minutes the flight arrived after its scheduled time.
Zero indicates the flight arrived at its scheduled time.
Assuming you want to arrive as close to the scheduled time as possible, from which
airline should you buy your ticket? Justify your response by addressing both the
measures of center and spread of the distributions.
Answers
Answer: Airline P since the median is lower and the SDR is lower
Step-by-step explanation:
Related Questions
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answers
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
Say whether the given function has limit at the point (0,0). If the limit exists, then find it. (a) f(x, y) = 5ry² 3x² + y² (Hint: the parabola z = - y²); (b) f2(x, y) = Vel+V sin(y). (Hint: [√x + √] × [√ √U] ...). [2,3]
Answers
(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).
(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).
(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.
Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).
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the image of the point ( 2 , 4 ) (2,4) under a translation is ( 1 , 1 ) (1,1). find the coordinates of the image of the point ( − 3 , 0 ) (−3,0) under the same translation.
Answers
The image of the point (-3, 0) under the same translation is (-2, 3).
Left/Right movement: -3 + 1 = -2 Up / Down movement: 0 + 3 = 3. The image of the point (-3, 0) under the same translation is (-2, 3).Given the point (2, 4) is translated to (1, 1) after translation. Therefore, The distance moved left/right = 2 - 1 = 1 and the distance moved up/down = 4 - 1 = 3.
Using the same distances to translate point (-3, 0), we get the new coordinates:
Left/Right movement: -3 + 1 = -2 Up / Down movement: 0 + 3 = 3
The image of the point (-3, 0) under the same translation is (-2, 3).
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Find the value of x to the power of 2 when x = 5
Answers
Answer:
32
Step-by-step explanation:
2^5=?
2x2=4x2=8x2=16x2=32
Answer:
x² = 25
Step-by-step explanation:
x = 5,
x² = 5² = 5 × 5 = 25
Hello I know this looks like a big list but I was just showing the directions it gave at the very top as you see. I need help with 17 or 18.
Answers
As given by the question
(17)
There are given that the equation
\(\sin (3\theta)=1\)Now,
From the general solution for the given equation
\(3\theta=\frac{\pi}{2}+2\pi n\)Then,
Solve above solution
So, divide by 3 on both side of the equation
\(\begin{gathered} 3\theta=\frac{\pi}{2}+2\pi n \\ \frac{3\theta}{3}=\frac{\frac{\pi}{2}+2\pi n}{3} \\ \theta=\frac{\pi}{6}+\frac{2\pi n}{3} \end{gathered}\)Hence, the value of the given equation is shown below:
\(\theta=\frac{\pi}{6}\)10th term of 12,19,26,31
Answers
Answer:
would it be 64
Step-by-step explanation:
#1 How much will the seed cost to seed the grass area above? The seed
costs $23 for a 10 lbs bag that covers 12 feet with a 9% sales tax. *
Answers
Answer:
Step-by-step explanation:
His friends all drive more expensive cars, and Tony is now starting to desire these same expensive products. Which factor is Tony experiencing
Answers
A Yes, it is proportional because it is a line that intersects with the origin.
B Yes, it is proportional because the x-axis and y-axis are labeled correctly.
C No, it is not proportional because the line does not intersect with the origin.
D No, it is not proportional because the x-axis and y-axis are not labeled correctly.
Answers
Answer:
A Yes, it is proportional because it is a line that intersects with the origin.
Step-by-step explanation:
Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equal to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom?
A. If a = b, then b = a.
B. If a = b and b = c, then a = c.
C. If a ≠ b, then b ≠ a.
D. If a = b, then a + c = b + c.
Answers
Answer:
B
Step-by-step explanation:
I got it right on edge.
Solve the exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three decimal places. 3 + 4^4x-3 +6 =11
Answers
x ≈ 0.625.
To solve the exponential equation 3 + 4^(4x-3) + 6 = 11, we first need to isolate the exponential term.
Subtracting 3 and 6 from both sides, we get:
4^(4x-3) = 2
To solve for x, we can take the natural logarithm of both sides:
ln(4^(4x-3)) = ln(2)
Using the property of logarithms that ln(a^b) = b*ln(a), we can simplify the left side:
(4x-3)ln(4) = ln(2)
Dividing both sides by ln(4), we get:
4x-3 = ln(2)/ln(4)
Simplifying the right side using a calculator, we get:
4x-3 ≈ -0.5
Adding 3 to both sides, we get:
4x ≈ 2.5
Dividing by 4, we get:
x ≈ 0.625
Therefore, the exact solution with natural logarithms is:
x = (ln(2)/ln(4) + 3)/4
And the approximate solution correct to three decimal places is:
x ≈ 0.625
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Evaluate the indefinite integral. Use a capital " C " for any constant term. ∫(3ex+4x5−x34+1)dx= TIP Enter your answer as an expression. Example: 3x∧2+1,x/5,(a+b)/c Be sure your variables match those in the question
Answers
The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.
∫3e^x dx = 3∫e^x dx = 3e^x + C₁
∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂
∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃
∫1 dx = x + C₄
Now, we can combine these results to obtain the final answer:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
where C is the constant of integration.
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let an = 8n 4n 1 . (a) determine whether {an} is convergent.
Answers
The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.
To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.
The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.
To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.
lim(n→∞) \((8n^4 + n + 1)\)
To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.
Taking the limit as n approaches infinity:
lim(n→∞) \(8n^4 + n + 1\)
= lim(n→∞) \(8n^4\)
Here, we can clearly see that the limit goes to infinity as n approaches infinity.
Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.
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Omar owns a small business selling ice-cream. He knows that in the last week 32
customers paid cash, 2 customers used a debit card, and 26 customers used a credit
card.
a
a
If next week, he is expecting 1500 customers, about how many would you expect to
pay with a debit card? Round your answer to the nearest whole number.
a
Answers
The number of customers who will pay by debit card will be 50.
What are fractions?The fraction is defined as the division of the whole part into an equal number of parts.
Last week there were
32 + 2 + 26 = 60 customers.
That means that the fraction of the customers, who paid by debit card, was
2/60 = 1/30
In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.
we simply say that we expect the same fraction, 1/30 if customers use credit cards.
for the absolute number of predicted debit card customers we multiply the predicted number of customers by the expected fraction
1500 × 1 / 30 = 1500 / 30 = 50
Therefore the number of customers who will pay by debit card will be 50.
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Tornadoes in Colorado. According to the National Oceanic and Atmospheric Administration (NOAA), the state of Colorado averages 18 tornadoes every June (NOAA website). (Note: There are 30 days in June.)
a. Compute the mean number of tornadoes per day.
b. Compute the probability of no tornadoes during a day.
c. Compute the probability of exactly one tornado during a day.
d. Compute the probability of more than one tornado during a day.
Answers
(a) The mean number of tornadoes per day in Colorado during June is 0.6 tornadoes.
(b)The probability of no tornadoes during a day in Colorado during June ≈ 0.5488.
(c) The probability of exactly one tornado during a day in Colorado during June ≈ 0.3293.
(d) The probability of more than one tornado during a day in Colorado during June ≈ 0.122.
To solve the provided questions, we'll use the average number of tornadoes in June in Colorado, which is 18.
a) Compute the mean number of tornadoes per day:
The mean number of tornadoes per day can be calculated by dividing the average number of tornadoes in June by the number of days in June:
Mean number of tornadoes per day = 18 tornadoes / 30 days = 0.6 tornadoes per day
b) Compute the probability of no tornadoes during a day:
To compute the probability of no tornadoes during a day, we need to use the average number of tornadoes per day (0.6 tornadoes) as the parameter for a Poisson distribution.
Using the Poisson probability formula, the probability of observing exactly k events in a particular time period is:
P(X = k) = (e^(-λ) * λ^k) / k!
For no tornadoes (k = 0) during a day, the probability can be calculated as:
P(X = 0) = (e^(-0.6) * 0.6^0) / 0! = e^(-0.6) ≈ 0.5488
c) Compute the probability of exactly one tornado during a day:
To compute the probability of exactly one tornado during a day, we can use the same Poisson probability formula.
P(X = 1) = (e^(-0.6) * 0.6^1) / 1! = 0.6 * e^(-0.6) ≈ 0.3293
d) Compute the probability of more than one tornado during a day:
To compute the probability of more than one tornado during a day, we can subtract the sum of the probabilities of no tornadoes and exactly one tornado from 1.
P(X > 1) = 1 - P(X = 0) - P(X = 1) = 1 - 0.5488 - 0.3293 ≈ 0.122
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WILL MARK BRAINLIEST IF YOU ARE CORRECT!
Answers
Answer:
me me!
Step-by-step explanation:
I bought a new car to transport my kids and all their stuff. The value of the car y (in thousands of dollars) can be represented by the model y=41(0. 92)^t
, where t is the number of years since I purchased the car. Which value in the equation represents the decay factor?
Answers
The decay factor in the equation y=41(0.92)^t is the value of (0.92) raised to the power of t.
In this case, the base of the exponential function is 0.92, which is less than 1. This means that as t increases, the value of (0.92)^t decreases exponentially, leading to a decay in the value of y. The decay factor is the factor by which the value of y decreases each year.
In this case, the decay factor is 0.92, which means that the value of the car decreases by 8% each year. This is because (0.92) x 100% = 92%, so the value of the car decreases to 92% of its previous value each year.
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just tell me whether to use sin, cos, or tan for number 14 you don’t have to solve
Answers
SOLUTION
We use sin
This is because the opposite and the adjacent sides are where we have known and unknown values
You can use the code SOH/ CAH / TOA to make the right choice of trigonometric ratio to use
Since the 1980s, the percentage of Americans who are members of a workplace union has reduced by how much?
Answers
Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.
According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.
This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.
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is 6.3434 rational or irrational
Answers
Answer:
it is a rational number
Step-by-step explanation:
Which are rational and irrational? Thanks in advance :)
Answers
Answer:
\(3\frac{1}{2}-rational\)
\(\pi -irrational\)
\(-\frac{2}{3}-rational\)
\(\sqrt{16} -rational\)
\(\sqrt{3} -irrational\)
\(18-rational\)
\(0.625-rational\)
\(0.987987987...-rational\)
Step-by-step explanation:
Rational numbers:
-are all numbers you can write as a quotient of integers \(\frac{a}{b}\) , \(b\neq 0\)
-include terminating decimals. For example, \(\frac{1}{8}=0.125\)
-include repeating decimals. For example, \(\frac{1}{3} =0.33333....\)
Irrational numbers:
-have decimal representations that neither terminate nor repeat. For example, \(\sqrt{2}=1.414213....\)
-cannot be written as quotients of integers
Describe and correct the error in setting up the trigonometric function.
Answers
The value of side length w is 13.75 .
Given right angled triangle,
Perpendicular = w
Hypotenuse = 17
Angle of triangle = 54°
So,
According to the trigonometric ratios,
tanФ = p/b
cosФ = b/h
sinФ = p/h
By using sinФ,
sinФ = p/h
sin 54° = w/ 17
0.809 = w/17
w = 13.75 .
Thus after correction w will be 13.75
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Why must trapezoids be congruent
Answers
Please i want the answer ASAP
The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation h=-8(2t – 4)(t + 3), where h is the height in feet and t is the time in seconds. How long is the ball in the air?
Answers
Answer:
. A golf ball is hit from the ground, and its height can be modeled by the equation h(t) = -16t2 + 128t, where h(t) represents the height (in feet) of the ballt seconds after contact.
Step-by-step explanation:
:D
It is assumed that approximately 15% of adults in the US. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not? Choose the correct answer below ○ A. O B. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent No, because the 100 adults were selected without replacement, the selections are dependent. No, because the probability of being right-handed is greater, x must count the number of right-handed adults. C. O D.
Answers
D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.
The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.
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Find SR
Thank you
It’s due today
Answers
The value of the midsegment(SR) of the Triangle KJI is 7 .
The Mid Segment Theorem states that , the line segment joining the mid points , of the the other two sides of the triangle is parallel to and half the length of the third side .
In the question ,
it is given that
In triangle KJI , SR is the mid segment of the triangle KJI and IK is the base
So , by mid segment theorem ,
we get ( 2x - 5 ) = (1/2)(x + 8)
2*(2x-5) = x+8
4x - 10 = x + 8
3x = 10 + 8
3x = 18
x = 6
so , SR = 2x-5 = 2(6)-5 = 12-5 = 7
Therefore , The value of the midsegment(SR) of the Triangle KJI is 7 .
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The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting rectangle is 126in^2. What was the original side length of the square?
Answers
Answer:
10in
Step-by-step explanation:
Answer:Let
x--------> original length side of a square
we know that
area rectangle=length*width
area=126 in²
length=(x+8)
width=(x-3)
so
126=(x+8)*(x-3)------> x²-3x+8x-24=126----> x²+5x-150=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=10 in
the answer is
the original length side of a square is 10 in
Step-by-step explanation:
In an opinion poll, 30% of 500 people sampled said they were strongly opposed to the state lottery. What is the approximate standard error of the sample proportion?
Answers
The approximate standard error of the sample proportion is approximately 0.0205.
To calculate the approximate standard error of the sample proportion, we can use the formula:
Standard Error = sqrt((p * (1 - p)) / n)
where:
p is the sample proportion (expressed as a decimal)
n is the sample size
In this case, the sample proportion is 30% or 0.30, and the sample size is 500.
Standard Error = sqrt((0.30 * (1 - 0.30)) / 500)
Standard Error = sqrt((0.30 * 0.70) / 500)
Standard Error = sqrt(0.21 / 500)
Standard Error ≈ 0.0244
Therefore, the approximate standard error of the sample proportion is approximately 0.0244.
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1/2y=13
Solve for y.
Answers
Answer:
The correct answer is Y = 26
\(\huge\text{Hey there!}\)
\(\mathsf{\dfrac{1}{2}y = 13}\)
\(\large\textsf{MULTIPLY 2 to BOTH SIDES}\)
\(\mathsf{2\times\dfrac{1}{2}y=2\times13}\)
\(\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}\)
\(\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}\)
\(\mathsf{2\times13=\bf y}\)
\(\mathsf{2\times13 = \bf 26}\)
\(\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
the given curve is rotated about the y-axis. find the area of the resulting surface. y = 3 x , 2 ≤ y ≤ 3
Answers
Therefore, the area of the surface generated by rotating the curve y = 3x about the y-axis, where 2 ≤ y ≤ 3, is 5π/3 √(10/9).
To find the area of the surface generated by rotating the curve y = 3x about the y-axis, we can use the formula for the surface area of revolution.
The surface area of revolution for a curve y = f(x) rotated about the y-axis over a certain interval is given by:
A = 2π ∫[a, b] x f(x) √(1 + (f'(x))²) dx
In this case, the curve is y = 3x and the interval is 2 ≤ y ≤ 3. To express the integral in terms of y, we need to solve the equation y = 3x for x:
x = y/3
Now we can rewrite the integral in terms of y:
A = 2π ∫[2, 3] (y/3) √(1 + (d/dy(y/3))²) dy
Simplifying further:
A = 2π/3 ∫[2, 3] y √(1 + (1/3)²) dy
A = 2π/3 ∫[2, 3] y √(1 + 1/9) dy
A = 2π/3 ∫[2, 3] y √(10/9) dy
A = 2π/3 √(10/9) ∫[2, 3] y dy
Integrating:
A = 2π/3 √(10/9) [(1/2)y²] [2, 3]
A = 2π/3 √(10/9) (1/2)(3² - 2²)
A = 2π/3 √(10/9) (1/2)(9 - 4)
A = 2π/3 √(10/9) (1/2)(5)
A = 5π/3 √(10/9)
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