Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Solve the exponential equation for xxx.
26x+7=(18)1−5x
Answer:
x=11/31
Step-by-step explanation:
HMU if u need the work shown
Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o
Answer:
The Answer is (3,2) I took the test on A.P.E.X.
The histogram below shows the heights, rounded to the nearest inch, of the members of the Oak High School basketball team. A. 1 inch B. 9 inches C. 7 inches D. 5 inches
Answer:
Range of player's height = 9 inch
Step-by-step explanation:
Given:
Number of players Height range
4 66-67
8 68 -69
14 70-71
9 72-73
1 74-75
Find:
Range of player's height
Computation:
Range = Maximum value - Minimum Value
Range of player's height = Maximum height of a player - height of a player
Range of player's height = 75 inch - 66 inch
Range of player's height = 9 inch
Need help 20-24 anything helps
Find x and y
Help me please
Answer:
x = 70 y = 140
Step-by-step explanation:
Apologies if I get any names of vocabulary terms wrong, I never pay much attention to the names.
The central angle measure of an arc is the same as the arc's measure. In this case, y is the central angle and 140 is the arc's measure, so y = 140.
The inscribed angle measure of an arc is 1/2 the arc's measure. An inscribed angle lies on the circle. So 140/2 = 70 = x.
In order to determine the slant height of several pyramids, Marjorie used the surface area formula, s= 1/2 pl+b for the slant height,l . Which equation , in terms of l, represents the correct transformation of the surface area formula?
Answer:
\(l=\dfrac{2(S-b)}{P}\)
Step-by-step explanation:
The surface area formula for pyramids is given by :
\(S=\dfrac{1}{2}Pl+b\) ...(1)
We need to arrange the formula for l.
Take b to LHS,
\(S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}\)
So, the expression is \(\dfrac{2(S-b)}{P}\) for the slant height.
show that 3x4 1 is o(x4∕2) and x4∕2 is o(3x4 1).
3\(x^4\) + 1 is equivalent to \(x^{(4/2)}\) in terms of asymptotic growth rate. The value of 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).
To show that 3\(x^4\) + 1 is O(\(x^{(4/2)}\)), we need to find a constant C and a value of x such that:
|3\(x^4\) + 1| <= C|\(x^{(4/2)}\)|
For x >= 1, we can say that:
3\(x^4\) + 1 <= 4\(x^4\)
Taking the square root of both sides, we get:
sqrt(3\(x^4\) + 1) <= 2x²
Thus, we can choose C = 2 and x0 = 1, and we have:
|3\(x^4\) + 1| <= 2|\(x^{(4/2)}\)| for all x >= 1
Therefore, 3\(x^4\) + 1 is O(\(x^{(4/2)}\)).
To show that \(x^{(4/2)}\) is O(3\(x^4\) + 1), we need to find a constant C and a value of x such that:
|\(x^{(4/2)}\)| <= C|3\(x^4\) + 1|
For x >= 1, we can say that:
\(x^{(4/2)}\) <= x²
Thus, we can choose C = 1 and x0 = 1, and we have:
|\(x^{(4/2)}\)| <= |3\(x^4\) + 1| for all x >= 1
Therefore, \(x^{(4/2)}\) is O(3\(x^4\) + 1).
Since both 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).
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Find the scale factor used to dilate quadrilateral LOVE, L (0,-7), O (5,-4), V (1,-5), E (3, -1) to L'O'V'E', L' (0, -21), O' (15, -12), V' (3, -15), E' (9,-3).
Answer:
7142213126 LOVE
Step-by-step explanation:
i dont no what i am doing this answer is wrong
What was the overall shape of the distribution of soldiers’ foot lengths? About where was the center of the distribution?
The overall shape of the distribution of soldiers' foot lengths was likely symmetric or approximately bell-shaped.
The distribution of soldiers' foot lengths can be described as symmetric or bell-shaped. The majority of foot lengths cluster around the center, with fewer foot lengths deviating significantly. The center of the distribution, representing the average foot length, can be determined using the mean.
Analyzing the shape through a histogram or box plot helps identify symmetry. A symmetric shape with a peak in the middle and evenly tapering tails indicates a bell-shaped distribution.
Understanding the distribution's shape and center allows us to infer the overall characteristics of the soldiers' foot lengths.
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pleeease help meeeeee
Answer:
B
Step-by-step explanation:
...... ..... ..... .....
X={1,2,8,9} Y={0,1,2,4,6,8,9}
Which of the following is the set X∪Y?
The union set for the given sets X and Y are: X∪Y = {0,1,2,4,6,8,9}.
Explain about the union set ?The elements shared by all of the sets are contained in the union of two (maybe three, as well as four, or more) sets.
A set itself is the union of other sets. The union of sets A and B (indicated as A∪B) is just the set containing all elements belonging to either A or B! It's analogous to resolving OR compound inequality to get the union of sets.A set containing all of the elements that are in either A or B is the union of 2 sets (possibly both). For instance, 1, 2, 3, equals 1, 2, 3. As a result, we can only write x∈(AB) if (x∈A) or (x∈B). Take note that A∪B=B∪A.The given sets are;
X={1,2,8,9}
Y={0,1,2,4,6,8,9}
So, union set contains all the values from both set without repeating the values.
Thus,
X∪Y = {0,1,2,4,6,8,9}.
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Someone please help..
Answer:
ITS J because the Mlimeters are suppose to be on the other side
Step-by-step explanation:
17. Algebraically determine the domain and the y -intercept of the function y=\log _{4}(2 x+1)-3 .
The domain of the function is `R` and the y-intercept is `(0, -3)`
Given, `y = log4(2x + 1) - 3`.
To determine the domain of the function,
we should look for all values of `x` that would make the given function undefined.
There are no real values of `x` that would make the function undefined.
Therefore, the domain of the function is all real numbers or `R`.
To determine the y-intercept, substitute `x = 0` in the given function.`
y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`
Therefore, the y-intercept of the function is `(0, -3)`.
Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.
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Suppose the average battery life is 10 hours. (i) [5 pts]. find the probability that the iphone will not die before t hours. this probability is often called the reliability of the device.
The probability that the iPhone will not die before t hours, given an average battery life of 10 hours, can be calculated using the exponential distribution. The reliability of the device is equal to the probability of surviving beyond t hours, which is given by the equation \(\[P(T > t) = e^{-\lambda t}\]\), where \(\(\lambda\)\) is the rate parameter. In this case, since the average battery life is 10 hours, \(\(\lambda = \frac{1}{10}\)\). Therefore, the probability of reliability is \(\[P(T > t) = e^{-\frac{t}{10}}\]\).
To find the probability of reliability, we use the exponential distribution formula. The exponential distribution is commonly used to model the time until an event occurs, such as the battery dying in this case. The rate parameter, \(\(\lambda\)\), is the reciprocal of the average time until the event occurs.
In this scenario, the average battery life is given as 10 hours. Therefore, the rate parameter \(\(\lambda\)\) is \(\(\frac{1}{10}\)\). The probability that the iPhone will not die before t hours is calculated by finding the complement of the probability that it will die before t hours.
The complement of the event "the iPhone will die before t hours" is "the iPhone will survive beyond t hours." This is represented as \(\(P(T > t)\)\), where T is the time until the battery dies.
Substituting the value of \(\(\lambda\)\) into the exponential distribution formula, we get \(\(P(T > t) = e^{-\frac{t}{10}}\)\). This equation gives us the probability that the iPhone will not die before t hours, which is the reliability of the device.
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How many different 2 digit numbers are there with the following property: the tenth digit is greater that the units digit?
Answer:
45 numbers
Step-by-step explanation:
The 10-digit numbers are from 10-99. We can manually analyze each tenth digit and see if we can find a pattern from it. First, 10-19 ~ 10 is the only number in the sequence where the tenth digit is greater than the unit digit (because 1 > 0). In every other case, 1 is less than or equal to the unit digit.
Next, 20-29 ~ 20 and 21 are the two numbers where the tenth digit is greater than the unit digit
30-39 ~ 30, 31, 32 follow the property
40-49 ~ 40, 41, 42, 43 follow the property
We can keep going, but we can see that there is a pattern. The number of numbers that correspond with the property for each set of 10 numbers is equal to the value of the tenth digit. We see that for the 40s, there are 4 numbers. For the 20s, on the other hand, there are 2 numbers. This pattern carries through:
50-59 ~ 5 numbers, 60-69 ~ 6 numbers, 70-79 ~ 7 numbers, 80-89 ~ 8 numbers, 90-99 ~ 9 numbers
We need to find how many 2-digit numbers total follow the property. We can just add our results together to get our answer:
1+2+3+4+5+6+7+8+9=45
What is the greatest common factor of 48, 24, and 32?
Answer:
8
Step-by-step explanation:
Answer:
It is 2
Step-by-step explanation:
The greatest common factor is 2 because 2×16=32
also works for 24 because 2×24=48
then yes it works again for 2×12=24
division is also very helpful
10 quarters 17 dimes 40 nickels 15 pennies answer
If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Quarters are worth .25 of a dollar
10 x .25 = 2.5
Dimes are worth .10 of a dollar
17 x .10 = 1.7
Nickels are worth .05 of a dollar
40 x .05 = 2
Pennies are worth .01 of a dollar
15 x .01 = 0.15
Add this together
2.5 + 1.7 + 2 + 0.15
= 6.35
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What is 2.5/5 simplified
Answer:
0.5
Step-by-step explanation:
divide 2 by 5 get 0
multiply the quotient (0) by the divisor 5
subtract 0 from 2
Add a decimal point to the solution Bring down the next number of the divided
divide 25 by 5 to get 5
Multiply the quotient digit (5) by the divisor 5
subtract 25 from 25
the solution for long of 2.5/5 is 0.5
The simplified value of 2.5/5 is 1/2
What is an expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Examples of expression includes; 5x +2 , 6y + 3 , 5/2 e.t.c
Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible.
Simplifying 2.5/5
multiply all by 10
= 25/50
divide through by 5
5/10 = 1/2
Therefore 2.5/5 is thesame as 1/2
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A ladder leans against a vertical wall. The end of the ladder touches the wall 12m from the ground. The foot of the ladder is 9m from foot of the the wall Calculate the length of the ladder.
Answer:
Step-by-step explanation:
length of ladder = x + 9
12² + x² = ( x-9)²
x = 3.5
f(4) = If g(x) = 2, x =
Answer:
to answer your question I think. x=4 or -11
Answer:
The answer is 4 and then -11
Step-by-step explanation:
hopefully this helps you :)
pls mark brainlest ;)
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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4. How many 5 -digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.
Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).
the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:
8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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MULTIPLE CHOICE QUESTION
How to Write and Solve Proportions
Kerry swam 2,400 yards in 20 minutes. How many minutes
will it take her to swim 3,000 yards
12
How will we find this scale factor?
3000x20/2400-2
1) Set up a word ratio.
2) Fill in the proportion
3) Find the scale factor.
yards 24004 30000
20 min
2400/3000-2
Х
3000/2400=?
x/20=2
20/=?
Answer:
i think it will be #3
Step-by-step explanation:
Choose the equation for the line in slope-intercept form.
1. y=6
2. y=3/2 alternate form y=1 1/2, y=1.5
2. 3. and 4. the same answer
Step-by-step explanation:
don't forget to rate
kristine has a $20 apps cash card and wants to buy some games and songs.Each game costs $2 and each song cost 1.25.Kristine wants to buy at least 12 items.Solve the system of inequalities by graphing to determine the possible number of games and songs that kristine can buy
Answer:
1.25x + 2x ≤ 20
X + X = 12
Step-by-step explanation:
a cell phone factory has a cost of production c(x)=180x 8400 and revenue function r(x)=210x. what are the coordinates of the break-even point?
To find the break-even point, we need to find the point where the cost function and revenue function intersect, since at that point the profit will be zero.
So, we set the cost function equal to the revenue function:
180x + 8400 = 210x
Simplifying:
30x = 8400
x = 280
Therefore, the break-even point is at x = 280. To find the coordinates, we need to plug this value into either the cost or revenue function:
c(280) = 180(280) + 8400 = 50400
r(280) = 210(280) = 58800
So the break-even point is (280, 50400).
To find the coordinates of the break-even point, we need to determine the value of x when the cost of production (c(x)) is equal to the revenue (r(x)). In other words, we need to solve the equation c(x) = r(x).
Step 1: Set c(x) equal to r(x)
180x + 8400 = 210x
Step 2: Rearrange the equation to solve for x
210x - 180x = 8400
30x = 8400
Step 3: Divide both sides by 30 to find x
x = 8400 / 30
x = 280
Step 4: Find the break-even revenue by plugging x into either the cost or revenue function (we'll use r(x))
r(280) = 210 * 280 = 58800
So, the coordinates of the break-even point are (280, 58800), where 280 represents the number of cell phones produced and 58800 is the revenue generated.
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A 8.50 kg object has the given x and y acceleration components. aₓ = (0.43 m/s²) + (0.79 m/s³) t
aᵧ = (11.9 m/s²) - (0.63 m/s³) t What is the magnitude Fₙₑₜ of the net force acting on the object at time = 6.87 s? Fₙₑₜ = 81.37
What is the angle θ of the net force at this same time? Give your answer as a number of degrees counter-clockwise from the +x-axis.
θ = .......
Incorrect
To find the angle θ of the net force at time t = 6.87 s, we need to first find the x and y components of the net force, and then use the inverse tangent function to find the angle.
The x component of the net force is given by:
Fₙₑₜ,ₓ = m aₓ = (8.50 kg)(0.43 m/s² + 0.79 m/s³(6.87 s)) = 3.63 N
The y component of the net force is given by:
Fₙₑₜ,ᵧ = m aᵧ = (8.50 kg)(11.9 m/s² - 0.63 m/s³(6.87 s)) = 92.52 N
The magnitude of the net force is given by:
|Fₙₑₜ| = sqrt(Fₙₑₜ,ₓ² + Fₙₑₜ,ᵧ²) = sqrt(3.63² + 92.52²) = 92.67 N
The angle θ of the net force is given by:
θ = tan⁻¹(Fₙₑₜ,ᵧ / Fₙₑₜ,ₓ) = tan⁻¹(92.52 N / 3.63 N) = 86.5°Therefore, the angle θ of the net force at time t = 6.87 s is approximately 86.5° counter-clockwise from the +x-axis.
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Which shows an equivalent decimal, fraction and percent
A-0. 125,1/8,12. 5%
B-0. 20,1/10,20%
C-0. 45,4/5,45%
D-0. 60,2/3,66%
An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.
To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.
Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.
The other options do not have equivalent representations of decimals, fractions, and percentages.
In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.
Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).
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Slope intercept Algebra 2.
please help! ill give brainliest and also please show work
Answer:
C. 445
Step-by-step explanation:
Directly proportional means that y = kx for some constant k. So you can start by substituting;
712 = 8k
k = 89
y = 5(89)
y = 445
Hope this helps! :)