The absolute value equation to solve for the maximum and minimum number of hours is \(t = \frac{d}{v} + |\frac{25}{v} |\)
The given parameters;
speed of the plane, v = 150 miles per hourdistance covered by the pilot, d = 160 ± 25 milesThe number of hours the plane needs to travel at the given values is calculated as;
\(time = \frac{distance }{speed} \\\\\)
The equation for the maximum number of hours is given as;
\(t =\frac{d + 25}{v} = \frac{160 + 25}{150} = 1.23 \ hours\)
The equation for the minimum number of hours is given as;
\(t = \frac{d- 25}{v} = \frac{160 - 25}{150} = 0.9 \ hr\)
The absolute value equation to solve for the maximum and minimum number of hours is given as;
\(t = \frac{d}{v} + |\frac{25}{v} |\)
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At the local college, a study found that students had an average of 0.70.7 roommates per semester. A sample of 133133 students was taken. What is the best point estimate for the average number of roommates per semester for all students at the local college
We estimate that the average number of roommates per semester for all students at the local college is 0.7.
The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.
Using the information given in the problem, we have:
Sample size (n) = 133
Sample mean (\(\bar X\)) = 0.7
Therefore, the best point estimate for the population mean (μ) is the sample mean:
μ ≈ \(\bar X\) = 0.7
So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.
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what is the slope of the line in the graph?
Answer:
-1 and 1
Step-by-step explanation:
Both numbers touch the line of -1 and 1 on the slope diagram.
x=1
Step-by-step explanation:
ratio of 1 to 1. rise one run one rise over run equals 1
Answer choice
A)7/13
B)8/13
C)15/26
D)17/26
E)7/52
Answer:
A. 7/13
Step-by-step explanationA card drawn at random from a standard 52 card deck has a 50% chance of being black or a face card. So the answer would be 28/56 but if you simplify that if would be 7/13.
How to do the following in R:
During 1963 and 1964, an experiment was carried out in France; its design differed somewhat from those of the previous two problems. A 1500-km target area was selected, and an adjacent area of about the same size was designated as the control area; 33 ground generators were used to produce silver iodide to seed the target area. Precipitation was measured by a network of gauges for each suitable "rainy period," which was defined as a sequence of periods of continuous precipitation between dry spells of a specified length. When a forecaster determined that the situation was favorable for seeding, he telephoned an order to a service agent, who then opened a sealed envelope that contained an order to actually seed or not. The envelopes had been prepared in advance, using a table of random numbers. The following table gives precipitation (in inches) in the target and control areas for the seeded and unseeded periods.
Analyze the data, which are listed in chronological order, to see if there is an effect of seeding.
The analysis done by the French investigators used the square root transformation in order to make normal theory more applicable. Do you think that taking the square root was an effective transformation for this purpose?
Reflect on the nature of this design. In particular, what advantage is there to using the control area? Why not just compare seeded and unseeded periods on the target area?
The square root was an effective transformation for this purpose is skewed and symmetrical.
In 1963 and 1964, an experiment was conducted in France to study the effects of seeding on precipitation.
The experiment focused on a 1500-km target area and a control area of similar size, where 33 ground generators were used to seed the target area with silver iodide.
The experiment's design was different from previous ones, and it relied on a table of random numbers to decide whether or not to seed the target area.
Next, we can perform a hypothesis test to determine if there is a significant difference between the mean precipitation in the seeded and unseeded periods in the target area.
Now, let's talk about the square root transformation used by the French investigators. They used this transformation to make normal theory more applicable, meaning that it helped to make the data more normally distributed.
By taking the square root of the data, the variance is reduced, and the distribution becomes more symmetrical. In this case, the investigators likely used the square root transformation because the precipitation data is often skewed.
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Given f(x) = –2 + 2, find f(0).
Answer:
f (0) = 0
Step-by-step explanation:
Substitute x= 0 into f (x) = -2 + 2
f (0) = -2 + 2
Simplify:
f(0) = 0
The longest chord in the diagram is:
UT
TV
SV
SU
Answer:
a ut is the longes cored
Step-by-step explanaton:
5-8. The Following Travel Times Were Measured For Vehicles Traversing A 2,000 Ft Segment Of An Arterial: Vehicle Travel Time (s) 40. 5 44. 2 41. 7 47. 3 46. 5 41. 9 43. 0 47. 0 42. 6 43. 3 4 10 Determine The Time Mean Speed (TMS) And Space Mean Speed (SMS) For These Vehicles
The term ‘arterial’ is used to describe roads and streets which connect to the highways. These roads are designed to help people move around easily and quickly. The study of arterial roads is an important area of transportation engineering.
To calculate the Time Mean Speed (TMS), first, the total distance covered by the vehicles needs to be calculated. Here, the distance covered by the vehicles is 2000 ft or 0.38 miles (1 mile = 5280 ft).Next, the total travel time for all vehicles is calculated as follows:40.5 + 44.2 + 41.7 + 47.3 + 46.5 + 41.9 + 43.0 + 47.0 + 42.6 + 43.3 = 437.0 secondsNow, the time mean speed (TMS) can be calculated as follows:TMS = Total Distance / Total Time = 0.38 miles / (437.0 seconds / 3600 seconds) = 24.79 mphThe Space Mean Speed (SMS) can be calculated by dividing the length of the segment by the average travel time of vehicles. Here, the length of the segment is 2000 ft or 0.38 miles (1 mile = 5280 ft).
The average travel time can be calculated as follows: Average Travel Time = (40.5 + 44.2 + 41.7 + 47.3 + 46.5 + 41.9 + 43.0 + 47.0 + 42.6 + 43.3) / 10= 43.7 seconds Now, the Space Mean Speed (SMS) can be calculated as follows: SMS = Segment Length / Average Travel Time= 0.38 miles / (43.7 seconds / 3600 seconds) = 19.54 mp h Therefore, the Time Mean Speed (TMS) and Space Mean Speed (SMS) for these vehicles are 24.79 mph and 19.54 mph respectively.
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What is the initial value in this question y=8x+6 8 or 6?
Answer:
it should be an 8
Step-by-step explanation:
The initial value in this question y = 8x+6 will be 8 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is given as;
y = 8x+6
We can see that the equation contains two terms that are 8x and 6.
The initial value is the first number of the first term in the equation.
Here, the first term is 8x.
Hence, the initial value in this question y = 8x+6 will be 8 .
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Rounding to the nearest ten, which two
numbers round to 40?
48
36
41
32
49
Answer:
48 and 32
Step-by-step explanation:
both numbers get rounded by 8 going up and down rounding it to 40
4. Select Yes or No to indicate whether each ordered pair is a point of intersection
between the line y = x + 1 and the parabola y = x² +1
Ordered Pair
(0,1)
(1,2)
(2,0)
The point of intersections between y = x + 1 and y = x² +1 are (0, 1) and (1, 2)
Indicating the point of intersectionsFrom the question, we have the following parameters that can be used in our computation:
y = x + 1
y = x² +1
(0,1): Yes, (0,1) is a point of intersection between the line y = x + 1 and the parabola y = x² +1, since 1 = 0 + 1 = 0² + 1.
(1,2): No, (1,2) is a point of intersection between the line y = x + 1 and the parabola y = x² + 1, since 2 = 1 + 1 = 1² + 1.
(2,0): Yes, (2,0) is not a point of intersection between the line y = x + 1 and the parabola y = x² +1, since 0 = 2 + 1 ≠ 2² + 1.
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Mrs. Jones is scooping 4 1/2 cups of peanuts with a scoop
that holds 1/3 cups. How many scoops will she fill?
Answer:13 1/2
Step-by-step explanation:4
1
The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.
Pilots use precise decimal numbers to determine their altitude when flying. one airplane is flying at a height of 37,890.52 kilometers. another airplane flies at a height of 37,890.89 kilometers. which airplane has a higher altitude? explain how you know.
The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.
To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.
The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.
In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.
Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.
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Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
Option B. is correct
Polynomial equation are equation of number independent variables having relationship with dependent variable.
Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.
for example \(\sqrt[3]{x^3}\) = x
Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
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Answer:
option B
Step-by-step explanation:
edge 2023
help me please!!! asap
Answer:
B. 6
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
6=n
Answer B. 6 equals n
Step-by-step explanation:
9 = 6 + 3
How do I solve ║8-3p║≥2
The solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3. To solve the inequality ||8-3p|| ≥ 2, you'll first want to isolate the absolute value expression.
Once you've done that, you'll be left with two inequalities to solve. How to solve the inequality ||8-3p|| ≥ 2?The first inequality is 8-3p ≥ 2.
To solve for p, you can start by subtracting 8 from both sides to get:-3p ≥ -6.
Then divide both sides by -3 to get:p ≤ 2. The second inequality is -(8-3p) ≥ 2. To solve for p, you can start by distributing the negative sign to get:-8 + 3p ≥ 2.
Then add 8 to both sides to get:3p ≥ 10. Finally, divide both sides by 3 to get:p ≥ 10/3. So the solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3.
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Which choices are equivalent to the expression below?
Check all that apply.
What is the simplified expression of (4-5r+8s)(5r-9)
Answer:
The simplified expression of (4-5r+8s)(5r-9) is
40r s-25r^2-72s+65r-36
(hope this helped)
The simplified expression of (4-5r+8s)(5r-9) is \(65r - 25r^2 + 9r + 40rs - 72s.\)
The simplified expression of (4-5r+8s)(5r-9) step by step.
Understanding how to simplify expressions can be incredibly useful in algebra and will make solving equations much easier. By using the distributive property, we can multiply the terms inside the parentheses and then combine like terms to get the simplified expression.
To simplify the expression (4-5r+8s)(5r-9), we'll use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). This property allows us to multiply each term in the first parentheses by each term in the second parentheses.
1. First, we multiply the term "4" in the first parentheses by each term in the second parentheses:
4 * 5r = 20r
4 * (-9) = -36
2. Next, we move to the second term in the first parentheses, "-5r," and multiply it by each term in the second parentheses:
-5r * 5r = -25r²
-5r * (-9) = 45r
3. Lastly, we move to the third term in the first parentheses, "8s," and multiply it by each term in the second parentheses:
8s * 5r = 40rs
8s * (-9) = -72s
Now, we have all the resulting terms:
20r - 36 - 25r² + 45r + 40rs - 72s.
To simplify further, we combine like terms. Like terms have the same variable(s) raised to the same power:
20r + 45r = 65r
-36 + 45r = 9r
So, the simplified expression is:
65r - 25r² + 9r + 40rs - 72s.
In mathematical terms, we applied the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Then, we combined like terms to obtain the final simplified expression, 65r - 25r² + 9r + 40rs - 72s.
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In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
Answer:
see explanation
Step-by-step explanation:
∠ 1 + ∠ 2 = 90, that is
x + x - 8 = 90
2x - 8 = 90 ( add 8 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices
Determine which method would be more efficient for solving: Rewriting and using the distributive property or dividing. Solve each equation. A. 2000 (x-0.03) = 6000 What does x equal??? B. 1/4 (4+x) = 4/3 What does x equal???
Answer:
A. x = 3.03
B. x = 4/3
Step-by-step explanation:
A. 2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:
(x - 0.03) = 3. Removing the parentheses, we get: x = -0.03 = 3, or x = 3.03.
B. The distributive property is the faster method here. We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:
3(4 + x) = 16
and then carry out the indicated multiplication: 12 + 3x = 16, or
3x = 4, or x = 4/3
the cost of 1 litre of milk is 42 3/4 find the cost of 12 1/2 litres of milk
Answer:
534.37500
Step-by-step explanation:
1/42.75 = 12.5/x
x= 534.37500
you setup a ratio of litre/cost = litre/cost
you can also multiply 42.75 by 12.5, which is way easier.
find the total differential of the function w = e y cos(x) z^2 .
To find the total differential of the function w = e^y * cos(x) * z^2, we can take the partial derivatives with respect to each variable (x, y, and z) and multiply them by the corresponding differentials (dx, dy, and dz).
The total differential can be expressed as:
dw = (∂w/∂x) dx + (∂w/∂y) dy + (∂w/∂z) dz
Let's calculate the partial derivatives:
∂w/∂x = \(-e^{y} * sin(x) * z^{2}\)
∂w/∂y = \(e^{y} * cos(x) * z^{2}\)
∂w/∂z = \(2e^{y} *cos (x)* z\)
Now, let's substitute these partial derivatives into the total differential expression:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y}* cos(x) * z^{2} ) dy + 2e^{y} *cos (x)*z) dz\)
Therefore, the total differential of the function w = e^y * cos(x) * z^2 is given by:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y} * cos(x) * z^{2} ) dy + ( 2e^{y} * cos(x) * z) dz\)
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200% of __ is 26??????
Answer:
52 is the correct answer :)
First answer gets brainliiest
Worth 40 points
This is not a question this is a gaining point questions
Answer by saying: 21
\(whats \: your \: question ?? \\ Thanks \: for \: points \)
Answer: 21
Step-by-step explanation:
From a table of integrals, we know that for ,≠0a,b≠0,
∫cos()=⋅cos()+sin()2+2+.∫eatcos(bt)dt=eat⋅acos(bt)+bsin(bt)a2+b2+C.
Use this antiderivative to compute the following improper integral:
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if ≠1s≠1
or
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if =1.s=1. help (formulas)
For which values of s do the limits above exist? In other words, what is the domain of the Laplace transform of 1cos(3)e1tcos(3t)?
help (inequalities)
Evaluate the existing limit to compute the Laplace transform of 1cos(3)e1tcos(3t) on the domain you determined in the previous part:
()=L{e^1t cos(3)}=
"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)
\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)
and
\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)
Use this antiderivative to compute the following improper integral:
\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)
For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?
Evaluate the existing limit to compute the Laplace transform of on the domain you determined in the previous part:
\(\[L\{e^t \cos(3t)\\).
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Please help asap with a correct answer and explaining thank you:)))
Answer:
1.25
Step-by-step explanation:
The numbers on the left are divided by 4 to get the numbers on the right
100/4 = 25
So 5/4 = 1.25
hey! i’ll give brainliest please help!
Answer:
becoming a monarch I guess that is the correct answer
Answer:
becoming a monarch is the answer
9e^2 f=49 solve for e
For given expression e will be 7/3.
What exactly are expressions?
In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to produce a single value.
Expressions can be simple or complex, and they can involve arithmetic operations such as addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, logarithms, and trigonometric functions.
Now,
We can solve for e by setting the given value of f equal to 49 and then solving for e.
f = 9e²
When f = 49, we have:
49 = 9e²
Dividing both sides by 9, we get:
49/9 = e²
Taking the square root of both sides, we get:
±√(49/9) = ±(7/3) = e
So the solutions for e are e = 7/3 or e = -7/3. However, since e is a measure of distance and cannot be negative, the only valid solution is e = 7/3.
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Correct Question:-
Function f=9e² , If f=49 then solve for e.
a 95 confidence interval for p1-p2 is (-0.185, -0.093). explain how the confidence interval provides the same information as the significance test in part a
We can conclude that the difference between p1 and p2 is statistically significant at the 5% level of significance.
The confidence interval and significance test in part A both provide similar information. The significance test in part A tests if the difference between p1 and p2 is statistically significant, while the confidence interval provides an estimated range of values for the true difference between p1 and p2 with a certain degree of confidence (95% in this case).A confidence interval is a range of values that we believe will include a population parameter with a specified level of confidence.
It can be computed to estimate the population mean or the difference between two population means, such as p1 and p2.In contrast, a significance test assesses whether the difference between two population proportions is statistically significant.
The test calculates a p-value, which is the likelihood of obtaining the observed difference between two proportions, assuming the null hypothesis (that there is no difference between the two proportions) is true. A p-value less than the level of significance (usually 0.05) indicates that the difference between the two proportions is statistically significant, while a p-value greater than the level of significance indicates that the difference is not statistically significant.
Both the confidence interval and the significance test inform us about the difference between two population proportions. The confidence interval provides a range of plausible values for the difference, while the significance test tells us whether the difference is statistically significant or not. In this particular case, since the confidence interval does not contain zero,
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