Starting Times (Waves):
- Wave 1
- Wave 2
- Wave 3
Starting Areas (Corrals):
- Wave 1 Corral A
- Wave 1 Corral B
- Wave 1 Corral C
- Wave 1 Corral D
- Wave 1 Corral E
- Wave 2 Corral A
- Wave 2 Corral B
- Wave 2 Corral C
- Wave 2 Corral D
- Wave 2 Corral E
- Wave 3 Corral A
- Wave 3 Corral B
- Wave 3 Corral C
- Wave 3 Corral D
- Wave 3 Corral E
Possible Combinations:
- Wave 1 Corral A
- Wave 1 Corral B
- Wave 1 Corral C
- Wave 1 Corral D
- Wave 1 Corral E
- Wave 2 Corral A
- Wave 2 Corral B
- Wave 2 Corral C
- Wave 2 Corral D
- Wave 2 Corral E
- Wave 3 Corral A
- Wave 3 Corral B
- Wave 3 Corral C
- Wave 3 Corral D
- Wave 3 Corral E
To create a tree diagram for the waves and corrals, follow these steps:
1. Begin by drawing three branches representing the three scattered starting times or "waves" - label them Wave 1, Wave 2, and Wave 3.
2. From the end of each wave branch, draw five branches representing the "corrals" within each wave.
3. Label the corrals under Wave 1 as Corral 1A, Corral 1B, Corral 1C, Corral 1D, and Corral 1E.
4. Label the corrals under Wave 2 as Corral 2A, Corral 2B, Corral 2C, Corral 2D, and Corral 2E.
5. Label the corrals under Wave 3 as Corral 3A, Corral 3B, Corral 3C, Corral 3D, and Corral 3E.
Now, you have a tree diagram that shows the possible waves and corrals runners could be assigned to in the marathon.
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Last question on the picture
Answer:
c it’s C 99% sure
Step-by-step explanation:
Answer:
They get larger
:D
A triangle has vertices A(-3,6), B(-3, 4), and C(3, 4).
If the triangle is translated 2 units to the right and 1 unit down, what will be the new coordinates of vertex A?
Answer:
A(-3,6) -> A'(-3+2,6-1),so A‘’(-1,5),choose A
Step-by-step explanation:
Find the time it would take, in hours, to travel 50 miles.
Answer:
1 hr at the speed of 50 mph
Step-by-step explanation:
If you went 50 mph it would be 1 hour. 100mph = 30min.
The time it will take to cover a given a given distance of 50 miles, assuming a speed of 20 miles per hour is 2 hours 30 minutes
Given Data
Distance = 50 miles
We Need another parameter speed, this will help us determine the exact time it would take to travel given the distance
Let us assume a speed of 20 miles per hour
We know that the expression relating speed, distance and time is given as
Speed = Distance/Time
Substituting we have
20 = 50/t
solving for t we have
t = 50/20
t = 2.5 hours
This is the same as 2 hours 30 minutes
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Place the following staps in order to complete the square and solve the quadratic equation,
7-6x47 m 0
1-61+9m -7+9
2=3212
1-3) - b/2
nm 00 " )
(z-3) =2
(1-3) = b2
P-6 =-7
To complete the square and solve the quadratic equation, we can follow these steps: Move the constant term to the right side of the equation
Divide all terms by the coefficient of the x^2 term
Add the square of half the coefficient of the x term to both sides of the equation
Factor the left side of the equation as a perfect square trinomial
Take the square root of both sides of the equation
Solve for x .
Explanation:
To solve the quadratic equation 7 - 6x + 4x^2 = 3, we can complete the square using the following steps:
Step 1: Move the constant term to the right side of the equation:
4x^2 - 6x + 4 = 0 + 3
Step 2: Divide all terms by the coefficient of the x^2 term to make the coefficient equal to 1:
x^2 - (3/2)x + 1 = 0
Step 3: Add the square of half the coefficient of the x term to both sides of the equation:
x^2 - (3/2)x + (3/4)^2 = (3/4)^2 + 1
Step 4: Factor the left side of the equation as a perfect square trinomial:
(x - (3/4))^2 = (13/16)
Step 5: Take the square root of both sides of the equation:
x - (3/4) = ±(√13/4)
Step 6: Solve for x by isolating it on one side of the equation:
x = (3/4) ± (√13/4)
Therefore, the solutions to the quadratic equation 7 - 6x + 4x^2 = 3 are x = (3/4) + (√13/4) and x = (3/4) - (√13/4), which can be simplified to x ≈ 1.3 and x ≈ 0.2.
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815gal/h=_____qt/sec
Answer:
Since there is 4 quarts in a gallon and 60 minutes in a hour.
60 x 60 = 3600
Multiply: 815 × 4 = 3260 quarts per hour
So 3260/3600 = 326/360 = 0.905 quarts per second
Step-by-step explanation:
can i get some help pls
It would be nice
Answer:
sandra
3.14 x 12=37.68
All the other kids didn't get that part right
Step-by-step explanation:
7/8 + 1/3
help pls I just need the common denominator
Answer:
24
Step-by-step explanation:
Even more
21/24 + 8/24 = 29/24
If the original quantity is 10 and the new quantity is 13, what is the percent increase?
Answer:
30%
Step-by-step explanation
13 is a 30% increase of 10.
Answer:
30% increase
Step-by-step explanation:
subtract original quantity from new quantity: 13 - 10 = 3
divide the difference by original quantity: 3/10 = 0.30
convert that result to percentage by moving decimal place over twice to the right.
You're done! Answer = 30%
e total weight of two garden statues was 714 pounds. If one statue weighed 342 pounds, how heavy was the other one?
Answer:
372
Step-by-step explanation:
Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:
714 - 342 = 372
Find the area of the region between the graphs of y - 17 - and y = - 2x + 14 over the interval 1 SI<5 19 The graphs of our two functions is shown above. Please show any work to find intersection points. Watch the x-interval over which you are finding the area. The area is > Next Question
To find the area between the graphs of y = x - 17 and y = -2x + 14 over the interval 1 ≤ x ≤ 19, we need to find the intersection points first.
Setting the two equations equal to each other, we have:
x - 17 = -2x + 14
Simplifying the equation:
3x = 31
x = 31/3
The intersection point occurs at (31/3, (31/3) - 17).
To find the area, we integrate the difference of the two functions over the given interval:
Area = ∫(x - 17) - (-2x + 14) dx
= ∫(3x - 31) dx
Evaluating the integral over the interval 1 to 19 will give us the desired area between the graphs.
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a data set has its first and third quartiles as 9 and 17 respectively. Which of the following data points would be considered an outlier for the data set
A. 27
B. 17
C. 3
D. 41
In which of these cases should the mean be used?
A. When the data is left-skewed
B. When the data is symmetric
C. When the data is right-skewed
D. When the data has extreme values
To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).
We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:
IQR = Q3 - Q1 = 17 - 9 = 8
To identify outliers, we can use the following rule:
- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.
Using this rule, we can evaluate each data point:
A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).
C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.
D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
Therefore, the outliers in the data set are A (27) and D (41).
As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.
Therefore, the correct option would be B. When the data is symmetric.
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Harry reads that a particular element has an atom with a mass of 0.000000000012 grams. What is the weight of the atom expressed in scientific notation?
A.
1.2 × 10-9 grams
B.
1.2 × 10-11 grams
C.
1.2 × 1011 grams
D.
1.2 × 1012 grams
Answer:
Since this number is small we know that the exponent will be negative.
In scientific notation the decimal must be between the first two NON zero numbers. So move the decimal and count how many positions it was moved.
1.2 x 10 ^-11
Step-by-step explanation:
NEED HELP ITS DUE IN 10 MINS ILL GIVE BRAINLIEST!!!!!!! READ PHOTO!!!!!!!!!!111
Answer: Third Option: The car was at -60 feet at one second after it passed the camera. When was the car 5 feet to the west of the camera?
Step-by-step explanation:
The negatives in the equation most match the the numbers in the third option and it also the one that makes the most sense.
Hope this helps!! :)
What is the slope-intercept equation for the line below?
O A. y=5/2x+2
○ B. y = 2/5 x + 2
○ c. y = − 2/5 + 2
OD. y = -5/2x + 2
The slope-intercept equation for the line passing through the points (0, 2) and (5, 4) is y = (2/5)x + 2.
To find the slope-intercept equation for the line passing through the points (0, 2) and (5, 4), we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Where (x₁, y₁) represents one of the points on the line, and 'm' represents the slope of the line.
Using the points (0, 2) and (5, 4), we can choose either point as (x₁, y₁). Let's use the first point (0, 2).
Plugging in the values:
y - 2 = m(x - 0)
Simplifying further:
y - 2 = mx
Now, we need to find the value of 'm', the slope of the line. The slope is given by the change in y divided by the change in x between the two points:
m = (y₂ - y₁) / (x₂ - x₁)
Using the given points (0, 2) and (5, 4):
m = (4 - 2) / (5 - 0)
m = 2 / 5
Substituting this value back into the equation, we have:
y - 2 = (2/5)x
To convert this to slope-intercept form (y = mx + b), we can rearrange the equation:
y = (2/5)x + 2
Therefore, the slope-intercept equation for the line passing through the points (0, 2) and (5, 4) is y = (2/5)x + 2.
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Nancy bought 3 hard cover books at the book store if each hard cover book cost $5.10 and she paid with a twenty dollar bill how much change should she get back
Answer:
$4.70
Step-by-step explanation:
3*5.10= 15.30
20-15.30= 4.7
Answer:
she should get $4.70
Step-by-step explanation:
you need to take 5.10 and multiply by 3 to get $15.3 then do 20 minus 15.30
let x(t) = cos(75t). if we sample x(t) at the nyquist frequency, what is the resulting discrete frequency
If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.
In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.
Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.
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Find three consecutive even integers whose sum is 120?
Answer:
40 40 40 is 120
38 40 42 is 120
Step-by-step explanation:
What is the equation for the line that contains the points (-5 , 2) and (3 , 7)?
Answer:
y=\(\frac{5}{8} x+\frac{41}{8}\)
Step-by-step explanation:
Hope this helps!
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
What do we know about a system of linear equations when is has
INFINITELY many solutions? (HINT-SELECT ALL THAT APPLY(3))
They have the same slope(m)
They have different slopes(m)
They have the same line on the graph
They have the same y-intercept(b)
They have different y-intercept's(b)
Pls help!!!!!!
2 ft
2 ft
5 ft
4 ft
4 ft
2 ft
2 ft
Answer:
22ft
Step-by-step explanation:
2+2+5+4+4+2+2= 22
The straight line L passes through the points (0, 12) and (10, 4).
Answer:
BANANA CREME PIEEEE
Step-by-step explanation:
the answer is 7
Answer:
Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the
equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the yintercept. So, how do you find the equation of a line? There are several different ways that you can find
the equation of a line. I find the equation of a line everytime by following the same three steps:
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept.
Step 3: Use steps 1 and 2 to write the answer.
I will explain these steps by looking a several examples. Please understand that there are often several
different ways to complete each math problem, but I have found through the years that students are most
successful when the do problems the same way each and every time they attempt the problem. If you
know a different way to find the answer that is great, but I am going to show how to do the problem one
way and use the same technique everytime I see this problem.
Step-by-step explanation:
A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the speed of the boat in still water and the speed of the current.
Answer:
speed of boat is 12 miles per hour and the speed of current is 9 miles per hour
Step-by-step explanation:
The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
coordinates of B?
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
\(x_{m} = \frac{x_{1} + x_{2} }{2}\) and \(y_{m} = \frac{y_{1} + y_{2} }{2}\)
where \(x_{m}\) and \(y_{m}\) = coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = \(\frac{5 + x_{2} }{2}\) and -1 = \(\frac{1 + y_{2} }{2}\)
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
How do I solve this equation?
What type of equipment did police use in 1918
Answer:
Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.
Step-by-step explanation:
hope it helped!
p.s it would be cool it you would give me brainliest
When the 6 buses arrive, they find out that each bus only holds 40 people. the
rest will have to go to the publick playhouse in cars.
jorge says that, if each car holds 4 passengers, they will need 5 cars to take the
rest of the passengers, because there are 22 people who won't fit on the buses,
and 22-4=5 with a remainder of 2. explain why jorge is wrong, and show how many cars they will need.
Jorge is incorrect since he is estimating the required number of cars using the incorrect methodology. Divide 22 by 4, and the outcome is not 5 with a remnant of 2, but rather 5 with a remainder of 2.
What is a good illustration of a unitary method?An individual or distinct unit is referred to as "unitary." The goal of this method is to establish values in terms of a single unit as a consequence. The unitary technique, for instance, can be used to calculate how many kilometers a car will travel on one litre of fuel if it currently goes 44 on two.
The following approach can be used to determine how many automobiles are required to carry the remaining passengers:
To determine the necessary number of full cars, divide the number of passengers still on board by each car's capacity: 22 passengers divided by four automobiles results in 5.5 autos.
Find the total required number of cars by rounding up to the next whole number: 6 cars.
Therefore, the answer is six cars will be required by the group to transport the remaining passengers.
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Determine whether it is possible to draw a triangle with sides of the given lengths. Write yes or no.
12, 14, 27
Answer:
No
Step-by-step explanation:
To have a triangle you have to add up the two shorter sides and it should be greater than or equal to the longest side.
12 + 14 = 26
26 is less than 27
What is extrapolation and why is it a bad idea in regression analysis? O A. Extrapolatio n is the tendency for values of the explanatory variable that are far from the mean to produce values of the response variable that are closer to the may be incorrect if the linear trend does not continue, and so extrapolation generally shoukd not be trusted. mean. B. Extrapolation is prediction far outside the range of the data. These predictions may be incorrect if the linear trend does not continue, and so extrapolation generally should not be trusted. O C. Extrapolation is prediction far outside the range of the data. These predictions may be incorrect if the standard deviation is too large, and so extrapolation generally should not be trusted. Extrapolation is the tendency for values of the explanatory variable that are far from the mean to produce values of the response variable that are closer to the mean. These predictions may be incorrect if the standard deviation is too large, and so extrapolation generally should not be trusted.
Extrapolation is the act of making predictions or estimations about values of the response variable that lie outside the range of the data used in regression analysis. In simpler terms, it is the process of extending a trend line beyond the range of data in order to predict future outcomes.
Extrapolation is considered a bad idea in regression analysis because it is based on the assumption that the linear trend observed in the data will continue indefinitely. However, this assumption may not always be true, and the further away the prediction is from the range of data, the less accurate the prediction is likely to be. In addition, when extrapolating, there is a greater risk of encountering outliers or extreme values that can skew the prediction. This is because the range of data used in the regression analysis may not fully represent the entire population, and therefore, extrapolation may not provide accurate predictions for the population as a whole.
Therefore, it is important to exercise caution when extrapolating and to be aware of the limitations and potential pitfalls associated with this technique. In general, it is recommended to only make predictions within the range of data used in the regression analysis, and to avoid making predictions too far outside this range.
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Frank’s bookshelf is meters high. Each row in the bookshelf is of a meter high. How many rows are there in Frank’s bookshelf?
Answer:
3
Step-by-step explanation:
3
3
3
3
3
3
3
3