The speed that Morris is travelling is 0.3 ft/s
Calculating the speed of a bodySpeed is the ratio of distance covered with respect to time.
Given the following parameters
Speed of Annesha = 50mi/hr
Speed of Moris = 3ft/s less than Aneesha
Convert 50mi/hr to ft/hr
50mi/hr = 73.3ft/s
Speed of Morris = 73.3 - 3
Speed of Morris =70.3 ft/s
Hence the speed that Morris is travelling is 0.3 ft/s
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Simplify: 3√64
A) 16
B) 2
C) 4
D) 8
Answer: b. 2
Step-by-step explanation: 3√64= 4 simplified is 2
Answer:
[See Below]
Step-by-step explanation:
____________________________________
✦ Solve for \(\sqrt[3]{64}\):
\(=24\)✦ Now divide:
\(24\) ÷ \(3=8\)____________________________________
So the answer would be D, \(8\).
~Hope this helps Mate. If you need anything feel free to message me.
\(-Your~ Friendly~ Answerer,~Shane\) ☺
en una tienda de ropa, la semana pasada, 3 pantalones y 2 abrigos costaban 245€. Esta semana estos artículos tienen un descuento del 20% y 5% respectivamente. Si ahora un pantalón y un abrigo cuestan 100,75€, ¿qué costaba cada artículo antes de la rebaja?
Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37
How to find the original cost?
Let's define the variables:
x = cost of a pant
y = cost of a coat.
First, we know that:
3x + 2y = 245
And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:
0.8x + 0.95y = 100.75
Then we have a system of equations:
3x + 2y = 245
0.8x + 0.95y = 100.75
We can isolate x on the second equation to get:
x = (100.75 - 0.96y)/0.8
x = 125.9 - 1.2y
Replace that in the other equation:
3*(125.9 - 1.2y) + 2y = 245
Solving for y:
3*125.9 - 3*1.2y + 2y = 245
y*(2 - 3*1.2) = 245 - 3*125.9
y = (245 - 3*125.9)/(2 - 3*1.2)
y = 82.94
Then the value of x is:
x = 125.9 - 1.2*82.94
x = 26.37
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What is the y-intercept of line x = -8?
Answer:
There is no y-intercept.
Step-by-step explanation:
x = -8 has an undefined slope which means that it will never have a y-intercept unless it is x = 0.
HELP!!!
WHAT IS THE AREA OF THE POLYGON IN SQUARE UNITS?
A- 180 square units
B- 108 square units
C- 70 square units
D- 64 square units
Answer: C
Step-by-step explanation:
area of rectangle = (5--2) × (2--2) = 7 × 4 = 28
area of triangle = ((12-5) × (6--6)) ÷ 2 = (7 × 12) ÷ 2 = 84 ÷ 2 = 42
total area = 28 + 42 = 70
help please, algebra 2
Answer:
\( {(x - 3) + (y - 5)}^{2} = 64\)
The center is (3, 5), and the radius is 8.
The length of a rectangular garden is twice its width. The garden is surrounded by a rectangular concrete walk having a uniform width of 4 feet. If the area of the garden and the walk is 330 square feet, what are the dimensions of the garden
If the length of a rectangular garden is twice its width, and the garden is surrounded by a rectangular concrete walk having a uniform width of 4 feet, and the area of the garden and the walk is 330 square feet, then the dimensions of the garden are 10 feet by 20 feet.
The length of a rectangular garden is twice its width, so if we let the width be x, then the length is 2x. The area of the garden is the length times the width, so it is 2x*x = 2x².Now let's add the width of the walk to the dimensions of the garden, so the width of the garden plus the walk is x + 8, and the length plus the walk is 2x + 8. The area of the garden plus the walk is the length plus the walk times the width plus the walk, so it is (x + 8)(2x + 8).
According to the problem, the area of the garden plus the walk is 330 square feet. We can set up an equation to solve for x:(x + 8)(2x + 8) = 330Simplifying and solving for x, we get:x² + 10x - 29 = 0(x + 13)(x - 3) = 0x = -13 or x = 3Since the width of the garden cannot be negative, we must take x = 3. Then the length of the garden is 2x = 6, and the dimensions of the garden are 3 feet by 6 feet.
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there are 86,400 frames of animation in 1 hour of anime. how many frames are there per second? there are 3600 seconds in an hour
Answer:
Step-by-step explanation:
86400/3600=24 fps
Answer:
There are 24 frames per second.
Step-by-step explanation:
Hi there!
We're given:
1 hour ⇒ 86,400 frames
1 hour ⇒ 3600 seconds
To find the number of frames per second, divide 86,400 by 3600 seconds:
86,400 ÷ 3600 = 24
I hope this helps!
find the probability
Answer:
alright so you have to do math to do it
Step-by-step explanation:
A trash bin has a capacity of 50 gallons. What percentage of its capacity is 5 gallons?
Answer:
10%
Step-by-step explanation:
5/50 = 10/100
10/100 = 10%
Answer:
5 gallons is 10% capacity.
Step-by-step explanation:
5 gallons accounts for 10% of a container which holds 50 gallons.
\((\frac{1}{10} )*50=5\)
Someone help
Please with the one I have circled everyone keeps saying it’s 15 but it’s incorrect when I put it in please help
Answer:
w
Step-by-step explanation:
Monday = 4
Tuesday = 1/3 w (where w is the miles walked on Wednesday)
Wednesday = w
Total = 24
4 + 1/3 w + w = 24
Combine like terms
4 + 4/3 w = 24
Subtract 4 from each side
4/3 w = 20
Multiply each side by 3/4
w = 20 *3/4
w = 15
In the equation when we start, we need to put the variable, not the solution
At the end we have the solution
What is m CD ?
Plzz help
Given:
Arc(AB) = 78 degrees
Measure of angle CMD = 106 degrees
To find:
The measure of arc CD.
Solution:
Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.
Using secant intersection theorem, we get
\(m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))\)
\(106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))\)
Multiply both sides by 2.
\(212^\circ=78^\circ+Arc(CD)\)
\(212^\circ-78^\circ=Arc(CD)\)
\(134^\circ=Arc(CD)\)
Therefore, the measure of arc CD is 134 degrees and the correct option is C.
The perimeter of a square is 40 inches.
What is the area, in square inches, of the square?
The area of the square is 100 inches square
What is perimeter of a square?The perimeter of a square is calculated using the formula;
Perimeter = 4 a
Where
a is the side
It is also important to know that the area of a square is calculated using the formula;
Area = a²
Where a represents the side of the square
Let's find the side by substituting the value of the perimeter in the formula, we have
40 = 4a
a = 40/4
a = 10 inches
Then , let's find the area by substituting the value of the side
Area = 10 ²
Area = 10 × 10
Area = 100 inches square
Thus, the area of the square is 100 inches square
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Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals
Answer:
timely, timely,measurable
Step-by-step explanation:
Answer:
specific, timely, measurable
Step-by-step explanation:
i took the test on plato
Please find x ASAP please please please
Answer:
GiveN:-Sides of triangles are √80 , 8 and xTo FinD:-Value of x = ??SolutioN:-we know that given triangle is right angled triangle.
➢ By using Phythagoras Theorem:-
\( \sf \longrightarrow \: (AC)^2 = (AB)^2 + (BC)^2\)
\( \sf \longrightarrow \: ( \sqrt{80} )^2 = (x)^2 + (8)^2\)
\( \sf \longrightarrow \: 80 = (x)^2 + (8)^2\)
\( \sf \longrightarrow \: 80 \: = x^2 \: + \: 8^2\)
\( \sf \longrightarrow \: 80 \: = x^2 \: + \: 64\)
\( \sf \longrightarrow \: 80 \: - 64 = x^2 \:\)
\( \sf \longrightarrow \: 16 = x^2 \:\)
\( \sf \longrightarrow \: x^2 \: = 16\)
\( \sf \longrightarrow \: x \: = \sqrt{16} \)
\( \sf \longrightarrow \: x \: = 4 \: units \)
Simplify: -3 ( 2x - 5) - 2 (4x + 3)
A. 14x - 9
B. - 2x + 21
C. - 14x + 9
D. - 14x + 21
Answer:
option b
Step-by-step explanation:
remove the parentheses
-6x+15 -2(4x+3)
collect like terms
-14x+15-6
subtract the numbers
15-6
-14x+9
I hope this helps!Answer:
the answer is C
Step-by-step explanation:
by doing the distributive property
multiplay the -3 with the numbers in the parenthesis (2x-5) and the same with -2 and (4x +3)
the result will be -6x+15-8x-6 now you need to combine like terms
-6x-8x 15-6
-14x+9
solve the 3 × 3 system shown below. enter the values of x, y, and z. x 2y – z = –3 (1) 2x – y z = 5 (2) x – y z = 4
The solution to the given system of equations is x = 2, y = -1, and z = 1.
What are the values of x, y, and z that solve the given system of equations?To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.
First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:
2x + 4y - 2z = -6 (4)
-x + y - z = -4 (5)
Next, we can subtract equation (5) from equation (4) to eliminate the variable x:
5y - z = 2 (6)
Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:
4x - 2y + 2z = 10 (7)
5y - z = 2 (8)
Adding equation (7) and equation (8), we can eliminate the variable z:
4x + 5y = 12 (9)
From equation (6), we can express z in terms of y:
z = 5y - 2 (10)
Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):
x + 2y - (5y - 2) = -3
x - 3y + 2 = -3
x - 3y = -5 (11)
From equations (9) and (11), we can solve for x and y:
4x + 5y = 12 (9)
x - 3y = -5 (11)
By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:
z = 5(-1) - 2
z = -5 - 2
z = -7
Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.
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Instead of throwing next snowball, Max decides to kick it off the ground He can kick it at a speed of 24 feet per second.
How long will it take for
Max's kicked snowball to
hit the ground, and what
is its maximum height.
Answer:
To solve this problem, we can use the equations of motion for a vertically launched object. First, we need to find the initial velocity of the snowball when it is kicked off the ground. We know that its speed is 24 feet per second, but we also need to take into account the angle at which it is kicked. Let's assume that Max kicks the snowball at a 45-degree angle. Using trigonometry, we can find that the horizontal velocity of the snowball is also 24 feet per second, and the vertical velocity is 24 feet per second times the sine of 45 degrees, which is approximately 16.97 feet per second. Now we can use the following equation to find the time it takes for the snowball to hit the ground: h = vi*t + 0.5*a*t^2 where h is the maximum height, vi
Please answer :??????
Answer:
y = x - 400
Step-by-step explanation:
[] Slope intercept form is y = mx + b
- m is our slope
- b is the y-intercept
[] Slope
-> Since the line is going bottom left to top right, the slope will be positive
-> We can do change in y divided by change in x, or we can look at the graph
-> When looking at the graph, we see that it goes up one and over one every time, so the slope will be \(\frac{1}{1}\), or 1
-> 1x can be written as x
[] Y-intercept = -400
-> The line hits the y-axis at -400, so this is our b
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 66%. What is the probability that it will rain on exactly one of the five days they are there
Thus, the probability that it will rain on exactly one of the five days during the Hiking Club's camping trip in the State park is approximately 4.38%.
We can use the binomial probability formula to calculate the probability of rain on exactly one of the five days during the Hiking Club's camping trip in the State park. The formula is:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
- P(X = k) is the probability of k successes (rain) in n trials (days)
- C(n, k) is the number of combinations of n items taken k at a time
- p is the probability of success (rain) on any given day (66% or 0.66)
- n is the number of trials (5 days)
- k is the number of successes (1 day with rain)
Plugging the values into the formula, we get:
P(X = 1) = C(5, 1) * 0.66^1 * (1 - 0.66)^(5 - 1)
First, we find the number of combinations C(5, 1) which is 5.
Next, we calculate the probabilities:
0.66^1 = 0.66
(1 - 0.66)^4 = 0.34^4 = 0.0133
Now, we multiply everything together:
P(X = 1) = 5 * 0.66 * 0.0133 ≈ 0.0438
So, the probability that it will rain on exactly one of the five days during the Hiking Club's camping trip in the State park is approximately 4.38%.
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Each square below represents one whole.
(one square - all shaded in of 4)
(second square - 3 shaded in of 4)
What percent is represented by the shaded area?
Answer:
The percent being represented by the shaded area is \(175\%\)
Step-by-step explanation:
The percent being represented by the shaded area can be calculated as follows
The first step is to evaluate the left square
Since each square represents one whole, and since the left square is all shaded in of \(4\) then the percent being represented by the shaded area in the left square is
\(1=\frac{4}{4}=\frac{100}{100}=100\%\)
The percent being represented by the shaded area in the first or the left square is \(100\%\)
The second step is to evaluate the right square
Since the right or the second square is \(3\) shaded in of \(4\), then the fraction being represented by the shaded area in the second square is
\(\frac{3}{4}\)
The third step is to convert \(\frac{3}{4}\) into the percent form by the following equation
\(\frac{3}{4}=\frac{x}{100}\)
Where \(x\) is the percent value for the second square
Multiply both side by \(100\) to isolate \(x\)
\(\frac{3}{4}\times 100=\frac{x}{100}\times 100\)
Simplify the equation
\(\frac{300}{4}=x\)
Simplify the left side of the equation
\(75=x\)
Since the value of \(x\) is \(75\), then the percent being represented by the shaded area in the second square is \(75\%\)
The fourth step is to calculate the total percent being represented by the all shaded area
Since the total percent is the sum of the percent for the first square and the percent for the second square, then it follows
\(\text{Total percent}=100\%+75\%\)
Simplify the equation
\(\text{Total percent}=175\%\)
Hence the percent being represented by the shaded are is \(175\%\)
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help me again, please ...
Answer:
French - 168
Spanish - 120
German - 72
Step-by-step explanation:
56 + 40 + 24 = 120
360/120 = 3
56 x 3 = 168
40 x 3 = 120
24 x 3 = 72
Using the terminology of Bayes' theorem, a posterior probability can also be defined as a Multiple Choice
A. subjective probability.
B. revised probability.
C. classical probability.
D. joint probability.
The correct option is B. revised probability
Bayes' Theorem:
Bayes' Theorem, named after 18th-century British mathematician Thomas Bayes, is a mathematical formula for determining conditional probability. Conditional probability is the likelihood of an outcome occurring, based on a previous outcome having occurred in similar circumstances. Bayes' theorem provides a way to revise existing predictions or theories (update probabilities) given new or additional evidence.
In finance, Bayes' Theorem can be used to rate the risk of lending money to potential borrowers. The theorem is also called Bayes' Rule or Bayes' Law and is the foundation of the field of Bayesian statistics.
KEY TAKEAWAYS
Bayes' Theorem allows you to update the predicted probabilities of an event by incorporating new information.Bayes' Theorem was named after 18th-century mathematician Thomas Bayes.It is often employed in finance in calculating or updating risk evaluation.The theorem has become a useful element in the implementation of machine learning.The theorem was unused for two centuries because of the high volume of calculation capacity required to execute its transactions.The correct option is B. revised probability
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solve for all values of real numbers x and y that satisfy the following equation: -1/(x+iy)^6=64
So, the solutions to the equation are given by x = 2 - iy, where x and y can take any real values.
To solve the equation -1/(x + iy)^6 = 64, we can start by taking the reciprocal of both sides to get rid of the fraction:
(x + iy)^6 = -1/64
Next, we can rewrite -1/64 as -1/2^6:
(x + iy)^6 = -1/2^6
Now, let's express -1/2^6 in polar form:
-1/2^6 = -1/(2^6 * e^(i * 0))
We can rewrite it as:
-1/2^6 = -1/(2^6 * e^(i * 2π * 0))
Using De Moivre's formula, which states that (cosθ + isinθ)^n = cos(nθ) + isin(nθ), we can raise both sides of the equation to the power of 1/6:
(x + iy) = (2^6 * e^(i * 2π * 0))^(1/6)
Simplifying further:
(x + iy) = (2^6)^(1/6) * e^((i * 2π * 0) / 6)
(x + iy) = 2 * e^(0)
(x + iy) = 2 * (cos(0) + i * sin(0))
(x + iy) = 2 * (1 + i * 0)
(x + iy) = 2
From here, we can equate the real and imaginary parts:
x + iy = 2
x = 2 - iy
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An 8-question true or false quiz is given to a class. If Lee guessed every question,
how many would she expect to be correct?
Work Shown:
n = number of questions = 8
p = probability of getting a question correct = 1/2 = 0.5
n*p = number of questions we expect Lee to get correct
n*p = 8*0.5
n*p = 4
We expect Lee gets about 4 questions correct.
4 question that lee guessed would be correct.
There 8 question of true and false.
Lee guessed every question.
Probability can be defined as ratio of favorable outcomes to the sample of events.
Here,
Probability of guessing right answer = 1/2 = 0.5
Probability of lee guessing right answer out of 8 question.
= 0.5 x 8
= 4
Thus, 4 question that lee guessed would be correct.
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Solution to the inequality 3x<0
Answer:
the inequality form is x<0
Step-by-step explanation:
you would divide both sides by 3 And then simplify
Find a function of the form y = A sin B(x - C) with the given properties. Amplitude: 3; Period: 2pi/3; Phase Shift: pi/3 units to the right
The sine function with the properties listed in this problem is defined as follows:
y = 3sin(3(x - π/3)).
How to define the sine function?The standard definition of a sine function is given as follows:
y = Asin(Bx + C) + D.
The parameters are given as follows:
A: amplitude.
B: the period is 2π/B.
C: phase shift.
D: vertical shift.
The function in this problem has an amplitude of 3, hence the coefficient A is given as follows:
A = 3.
Considering the period, the coefficient B is obtained as follows:
2π/B = 2π/3
B = 3.
Considering the shift right, the coefficient C is given as follows:
C = -π/3.
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the mean annual tuition and fees for a sample of 14 private colleges was 35,400 with a standard deviation of 4700. a dotplot shows that it is reasonable to assume that the population is approximately normal. you wish to test whether the mean tuition and fees for private colleges is different from 31,400. compute the p-value of the test statistic
The p-value of the test statistic is given as follows:
0.0072.
How to obtain the p-value of the test statistic?The test statistic is calculated as follows:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
In which:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters for this problem are givne as ofllows:
\(\overline{x} = 35400, \mu = 31400, s = 4700, n = 14\)
Hence the test statistic is given as follows:
\(t = \frac{35400 - 31400}{\frac{4700}{\sqrt{14}}}\)
t = 3.18.
We have a two-tailed test, as we are testing if the mean is different of a value, with t = 3.18 and 14 - 1 = 13 df, hence the p-value is given as follows:
0.0072.
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a small town in the UK has only 600 high school students. what is the largest possible sample you can take from this town and still be able to calculate the standard deviation of the sampling distribution of p-hat?
To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.
By calculating,
600/10=60 and 59 students which is less than 10% of the population.
A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.
Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values
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a survey of 300 union members in new york state reveals that 112 favor the republican candidate for governor. construct the 98% confidence interval for the true population proportion of all new york state union members who favor the republican candidate. question content area bottom part 1 a. 0.304p0.442 b. 0.301p0.445 c. 0.316p0.430 d. 0.308p0.438
A 98% confidence interval for the proportion of New York state union members who favor the Republican candidate is constructed using: p ± zsqrt(p(1-p)/n). Substituting, we get (0.3051, 0.4416), or approximately (a) 0.304p0.442.
To construct a 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate, we can use the following formula:
p ± z*sqrt(p*(1-p)/n)
where p is the sample proportion, n is the sample size, and z* is the critical value from the standard normal distribution corresponding to a 98% confidence level, which is approximately 2.33.
Substituting the values from the problem, we get:
p ± 2.33*sqrt(p*(1-p)/n)
p = 112/300 = 0.37333
n = 300
Substituting these values, we get:
0.37333 ± 2.33*sqrt(0.37333*(1-0.37333)/300)
Simplifying, we get:
0.37333 ± 0.0682
Therefore, the 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate is:
(0.3051, 0.4416)
Rounding to three decimal places, the answer is (a) 0.304p0.442.
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Sports science researchers determined that, of those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has not had three or more injuries?
0.15
0.25
0.50
0.85
Answer:
Step-by-step explanation:
0.63 hope this helps
The required value of probability can be found as 0.85. The correct option is (D).
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The percentage of people having no, one, two and three or more injuries are given as 22%, 45%, 18% and 15% respectively.
Then, the probability of an event is equivalent to the percent value.
Now, the probability of skateboarders not having 3 or more injuries is given as,
⇒ 1 - P(Three or more injury)
⇒ 1 - 15/100
⇒ 0.85
Hence, the probability can be obtained for not having 3 or more injuries as 0.85.
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