4. There are 10 cheerleading squads performing in a competition. The
order of the performances is determined at random. What is the
probability that your squad performs first and your friend's squad performs
second?
Answers
Answer:
0.011 or 1/90
Step-by-step explanation:
Since the order of the performances is determined at random the probability of each squad is constant that 1/10
The probability of your squad is 1/10
Given that the first selected was yours (1/10) nine squads are left . Therefore the probability of your friends squad is 1/9.
Hence the probability that your squad performs first and your friend's squad performs second is (1/10 * 1/9) 1/90 or 0.011
Related Questions
student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
Answers
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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1
A central angle must have its vertex at...
A on the circumference of a circle
B) outside a circle
anywhere in a circle
D the center of a circle
Answers
Answer:
the answer is D. the center of a circle
e ohio lottery has a game called pick 4 where a player pays $1 and picks a four-digit number. if the four numbers come up in the order you picked, then you win $3900. a) write the probability distribution for a player's winnings. fill in the table below. for the computer to grade this one correctly make sure that your x values are from smallest to largest.
Answers
The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.
To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.
There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.
To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:
Net Winnings = $3,900 - $1 = $3,899
The probability distribution for the player's winnings can be summarized in the following table:
| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0 | 0.9999 |
| $3,899 | 0.0001 |
Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.
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Michael's checking account balance was $375.00. Michael withdrew $160.00 three times. What would his new balance be now?
Answers
Answer:
$-105.00
Step-by-step explanation:
375.00 - 160.00 = 215.00
215.00 - 160.00 = 55.00
55.00 - 160.00 = -105.00
Answer:
160×3=480 and
375-480= -105
PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?
Answers
Answer:
tan(47)=53/z
Step-by-step explanation:
Using trig ratio tan(x)=O/A
there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)
Therefore, tan(47)=53/z
\(\\ \tt\hookrightarrow tan47=\dfrac{H}{B}\)
\(\\ \tt\hookrightarrow tan47=\dfrac{53}{B}\)
\(\\ \tt\hookrightarrow B=\dfrac{53}{tan47}\)
Im not anyone important, I just want to see if these questions are correct!
1. Simons savings account has approximately 100 dollars saved. Simon has a gift card that gives him 30% off on clothes, he buys a shirt that is worth . If Simon buys this shirt, how much with remain in his savings?
2. What is 430 as a percentage?
3. Factor the expression 16x - 24.
Answers
Answer:
Number 3 is 8(2x−3)8(2−3)
Step-by-step explanation:
the polynomial that represents the volume of the box is 6x3 32x2 2x - 40. find the volume of the box if x is 4 inches.
Answers
the polynomial that represents the volume of the box is is 6x^3 +5x^2 -3x-2
V=lwh
l=x+1
w=2x+1
h=3x-2
V=(x+1)(2x+1)(3x-2)
V=(x*2x+x*1+1*2x+1*1)(3x-2)
V=(2x²+x+2x+1)(3x-2)
V=(2x²+3x+1)(3x-2)
V=2x²*3x+2x²*(-2)+3x*3x+3x*(-2)+1*3x+1*(-2)
V=6x³-4x²+9x²-6x+3x-2
V=6x³+5x²-3x-2
complete question is
Find the volume of the box. Use the formula V = lwh.
Rectangular box with sides x plus 1, 2x plus 1, and 3x minus 2.
6x3 – 2
6x3+ x – 2
6x3 – 13x2 – 3x – 2
6x3 + 5x2 – 3x – 2
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What is the solution to the following system of equations?
2x + y = 0
x + 2y = 3
Group of answer choices
(0, 0)
(-1, 2)
(2, -4)
(-5, 4)
Answers
Steps:
Solve by elimination
Multiply the first equation by 2 to make the coefficients of x in both equations the same
2(x+2y=3)
2x+4y=6
Then line them up and subtract
2x+y=0
-2x+4y=6
= -3y=-6
Divide both sides by -3 to isolate y
y=2
Then substitute 2 for y into one of the equations to find x.
x+2(2)=3
x+4=3
x=-1
Thanks for the help in advance
Answers
Answer:
60
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
find the value of x. round to the nearest tenth!!!!!
Answers
Answer:
82.3 .
Step-by-step explanation:
We can use the trigonometric ratios ( SOH CAH TOA)
The opposite side is the side opposite the degree or 22.
We are looking for the adjacent which is the part, let's say, 'under' the angle.
It looks like the TOA ratio ( tan β) is the suitable ratio.
Tan 61 = x/22 ( opposite/adjacent= tan β)
Thus, x= 22tan 61
x = 82.34...
x≈ 82.3 (nearest tenth)
Hope this helps! :)
which factors will influence the margin of error when the population standard deviation is unknown? check all that apply.
Answers
We need to know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.
Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.
Therefore the margin of error is influenced by confidence level and sample size.
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A weight is attached to the end of a frictionless spring, pulled down to extend the
spring, and then released. Let d be the distance of the weight above the floor at
time t, where d is in centimeters and t is in seconds. The distance varies
sinusoidally over time.
A stopwatch reads 0.5 seconds when the weight reaches its first high point 42
centimeters above the floor, and the next low point 11 centimeters above the floor,
occurs at 1.2 seconds.
Write a trigonometric equation to express d in terms of t, and use your equation to
determine the weights distance from the floor at 4 seconds. Round to the nearest
centimeter.
Answers
A trigonometric equation to express d in terms of t is d = A sin(Bt - C) + D, the weight is approximately 16 centimeters above the floor at 4 seconds.
The distance, d, of the weight above the floor at time t can be expressed as a sinusoidal function of the form:
d = A sin(Bt - C) + D
where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
We are given that the weight reaches its first high point (maximum) at 0.5 seconds, which means that the phase shift is 0.5 seconds. At this point, d = 42 centimeters, which means that the amplitude is 42/1 = 42 centimeters.
We are also given that the next low point (minimum) occurs at 1.2 seconds, which means that the function has completed one full period between 0.5 and 1.2 seconds. Therefore, the period of the function is:
T = 1.2 - 0.5 = 0.7 seconds
The frequency, B, is the reciprocal of the period:
B = 1/T = 1/0.7 ≈ 1.43
Finally, we need to find the vertical shift, D. At time t = 0, the weight is at its equilibrium position, which is the midpoint between the maximum and minimum heights:
D = (42 + 11)/2 = 26.5
Putting all of this together, we get:
d = 42 sin(1.43(t - 0.5)) + 26.5
To find the weight's distance from the floor at 4 seconds, we simply need to plug in t = 4 into the equation and round to the nearest centimeter:
d = 42 sin(1.43(4 - 0.5)) + 26.5 ≈ 16 centimeters
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1. what is the last name of whom we honor for discovering ways to express and minimize logic though a new but similar form of algebra? 2. what does the k in k-map stand for? 3,4,5,
Answers
Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.
George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.
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5
A taxi charges $2.50 for up to and including the
first mile, and $1.20 for each mile thereafter.
What would the taxi charge for a trip of 12
miles?
Answers
Step-by-step explanation:
In this problem, we can call the $2.50 a fee, as we cannot go farther than a mile without paying this amount.
Now, since the first mile that we drive is worth more than the miles afterward, we can count only the following 11 miles that would cost $1.20. 11 x 1.20 = $13.20.
But remember! We need to add $2.50 for the first mile that we drove. 13.20 + 2.50.
The taxi driver would charge $15.70
please help me with this
Answers
30 - 16
14 is the answer.
The perimeters of the square and the regular pentagon are equal. a square with side lengths of 3x 3. a pentagon with side lengths of x 8. what is the perimeter of each polygon? 12 15 42 60
Answers
The perimeter of each polygon is 42.
Perimeter:
The whole distance around a shape is referred to as its perimeter. In essence, the length of any shape when it is expanded in a linear form equals its perimeter. A shape's perimeter in a two-dimensional plane is its complete circumference. Depending on their measurements, distinct shapes' perimeters may be equal in length. For instance, if a circle is built of a metal wire of length L, the same wire can be used to build a square with equal-length sides. Three sides make up the triangle. Any triangle's perimeter, whether scalene, isosceles, or equilateral, will therefore equal the sum of its three sides' lengths. And the space a triangle takes up in a plane is its area.
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select all options which are geometric sequences
Answers
The geometric sequences in the options are:
1, 5, 25, 125, 625...
2, 4, 8, 16, 32...
1, -1, 1, -1, 1...
How to find the geometric sequences in the options?Geometric sequence is a type of sequence in which the ratio of every two successive terms is a constant.
This ratio is also called the common ratio of the geometric sequence. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term.
Let's check if the common ratios are constant (the same):
Sequence 1:
Common ratio; 65/64 ≠ 66/65 [No]
Sequence 2:
Common ratio: 5/1 = 25/5 (i.e. 5) [Yes]
Sequence 3:
Common ratio: 4/2 = 8/4 (i.e. 2) [Yes]
Sequence 4:
Common ratio: 3/2 ≠ 5/3 [No]
Sequence 5:
Common ratio: -1/1 = 1/(-1) (i.e. -1) [Yes]
Sequence 6:
Common ratio: 8/14 ≠ 2/8 [No]
Sequence 7:
Common ratio: 1/1 ≠ 2/1 [No]
Sequence 8:
Common ratio: 8/5 ≠ 11/8 [No]
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It took 3.5 hours for a train to travel the distance between two cities at a velocity 120 km/hr. How many miles lie between the two cities?
Answers
260.976 miles
Using mixed numbers, write a problem in which an estimate is enough to solve the problem.
Answers
explain:
Estimating Differences of Fractions and Mixed Numbers
Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.
Sa
Expo Milano 2015 was visited by 22.2 million people. It is expected that Expo 2020 Dubai will
be visited by 25 million people. Find the percent of change.
Answers
Answer:
12.6% is the percent of change.
Step-by-step explanation:
As Expo Milano 2015 was visited by 22.2 million people.
And it is expected that Expo 2020 Dubai will be visited by 25 million people.
so
25 - 22.2 = 2.8 million people
so dividing the 2.8 by 22.2 would give us the percentage of increase.
2.8/22.2 = 0.126 which is = 12.6%
Therefore, 12,6% is the percent of change.
if there are 9 shirts and 8 pants, how many possible outfits
Answers
Answer:
Uhh Like 50 different outfits using the same paints and shirts just put differently
Step-by-step explanation:
Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answers
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
Solve the following mixed integer programming problem by using Branch and Bound algorithm.
Maximize Z = x1 +x2
Subjected to 2x1 + 5x2 ≤ 1 6x1+ 5x2 ≤ 30
x2 ≥ 0
x1 ≥ 0 and integers.
Answers
The given problem is a mixed integer programming problem that can be solved using the Branch and Bound algorithm. The objective is to maximize the expression Z = x1 + x2, subject to certain constraints.
The Branch and Bound algorithm is an optimization technique used to solve mixed integer programming problems. It systematically explores the solution space by dividing it into smaller subspaces (branches) and bounding the objective function value within each branch.
In this problem, we aim to maximize the expression Z = x1 + x2. The decision variables, x1 and x2, are subject to the following constraints:
1. 2x1 + 5x2 ≤ 1
2. 6x1 + 5x2 ≤ 30
3. x2 ≥ 0
4. x1 ≥ 0 and integers
To apply the Branch and Bound algorithm, we start with an initial feasible solution and compute its objective function value. Then, we divide the solution space into branches based on the integer constraints. Each branch represents a possible combination of integer values for the variables.
At each branch, we calculate the objective function value and update the current best solution. If the objective function value at a branch is less than the current best solution, we prune that branch, as it cannot yield an optimal solution. If the branch satisfies all constraints and has a higher objective function value than the current best solution, we update the best solution.
By systematically exploring and pruning branches, the Branch and Bound algorithm eventually converges to the optimal solution, maximizing the expression Z = x1 + x2 while satisfying the given constraints.
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example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
Answers
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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help please
The cost of having a window fixed is $125 plus $25 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
25 + 125h
125 + 25h
150h
125+25 over h
Answers
I believe the answer would be Y=125+25(h
Answer: 125 + 25h
Step-by-step explanation:
The total amount of money is the cost of the window plus the amount of hours.
Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol de campeonato. Los conductores tienen automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camionetas que pueden transportar exactamente a 80 estudiantes.
Answers
Esta pregunta esta incompleta
Pregunta completa
Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol del campeonato. Los conductores cuentan con automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes.
Seleccione todas las afirmaciones que sean verdaderas sobre la situación.
a) Si van 12 coches, se necesitan 2 furgonetas.
b) c = 14 y v = 4 son un par de soluciones de la ecuación.
c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.
d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.
e) Si pasan 20 autos, no se necesitan camionetas.
f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.
Answer:
La opción b, e y f.
Step-by-step explanation:
Pasando por las opciones dadas:
c = coches que pueden llevar a 4 estudiantes
v = furgonetas con capacidad para 6 estudiantes
a) Si van 12 coches, se necesitan 2 furgonetas.
= 12 (4) + 2 (6)
= 48 + 12
= 60
60 ≠ 80
La opción a es incorrecta
b) c = 14 y v = 4 son un par de soluciones de la ecuación.
14 (4) + 4 (6)
56 + 24 = 80 estudiantes
La opción b es correcta
c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.
Por lo tanto:
5 (4) + 11 (6)
= 20 + 66
= 86.
86 es mayor que 80, la opción c es correcta, habría un espacio adicional para 6 estudiantes.
d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.
Por lo tanto:
10 (4) + 8 (6)
40 + 48
= 88
e) Si pasan 20 autos, no se necesitan camionetas.
20 (4) = 80 estudiantes
La opción e es correcta
f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.
8 (6) + 8 (4)
= 48 + 32
= 80 estudiantes.
La opción b es correcta
Por lo tanto, la ecuacióna que describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes es la opción b, e y f.
Select ALL the correct answers.
The base of a pentagon lies on ray AB as shown.
Determine which statements are true.
a. (2x + 14)° = 90°
b. X = 7°
c. (2x + 14)° + (7x + 13)° = 180°
d. (7x + 13)° = 132°
e. (2x + 14)° = 48°
Answers
Answer:
(2x + 14)° + (7x + 13)° = 180°
(2x + 14)° = 48°
(7x + 13)° = 132°
All 3 statements are true
Step-by-step explanation:
Factor 10z + 45.
i need help!
Answers
Answer:
5(2z +9)
Step-by-step explanation:
factor out 5 of 10z +45
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15. What number of degrees of freedom should we use?.
Answers
We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.
Given that,
Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.
We have to find how many degrees of freedom should we utilize.
We know that,
The answer to the problem is
A 95% confidence interval is being created.
The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.
As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.
Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.
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Please help me!!
There were 36 campers at Yosemite Creek. They
had 10 large pepperoni pizzas to share equally.
How much pizza can each camper have?