The maximum possible outcome for the situation is 36.
What is Probability?The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.
We have been Given that Ruby is designing a new board game and is trying to figure out all the possible outcomes.
Ruby flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.
we know that there are 3 things happening simultaneously and favorable moments will be chosen by all three.
Thus, Maximum possible outcome are;
2 x 6 x 3 = 36
Therefore, For the given, 36 outcomes are available in total.
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*please help* What is the measure of angle ADC?
(b) A distance is related to time according to the expression x = A sin(2πft), where A and f are constants. Find the dimensions of A. Again, "L" is the length dimension and "T" is the time dimension. [Hint: A trigonometric function appearing in an equation must be dimensionless.]
Answer:
A is in length dimensions
Step-by-step explanation:
The expression:
x = A sin (2πft)
has in the second member two factors A and sin (2πft); a sine is a relation between two sides with the same dimension that means a sine is a number ( with minimum and maximum values of 0 for zero degrees and 1 for 90 degrees ). As t is in units of time ( seconds, minutes or hours) frequency "f", which is the number of cycles per unit of time ( seconds, minutes or hours), t and f should be both in the same unit, in order to get just a number for sin2πf.
Therefore A should be in units of length and x will get its units from A
For instance
x = A sin(2πft)
t in seconds f in 1/seconds A in meters
By substitution, we can see that
x[ m ] = A [m] * sin[ 2π*sec* 1/sec ]
x[ m ] = A [m] * number
two angles are supplementary. One angle measures 12 degrees less than 3 times the other. find the measure of each angle
Angle 1 = A
Angle 2 = B
They are supplementary, that means that they add 180 degrees, then: A + B = 180
One angle measures 12 degrees less than 3 times the other, tahn means: A - 12 = 3B
Equation 1: A + B = 180
Equation 2: A - 12 = 3B
Solving for A in equation 1:
A + B = 180
A = 180 - B
Using this value into equation 2, and solving for B:
A - 12 = 3B
(180 - B) - 12 = 3B
180 - B - 12 = 3B
168 = 3B + B = 4B
4B = 168
B = 168/4 = 42
B = 42
Using the expression we found for A:
A = 180 - B = 180 - 42 = 138
A = 138
Answer
42 degrees and 138 degrees
6. In 2017, Nathan owed 20
Pokemon cards. In 2019, he
owned 150. What is the rate of
change in the number of
Pokemon cards Nathan
owns?
Please help me understand
Answer:
750% increase
Step-by-step explanation:
150/20 = 7.5
7.5 > percentage = 750
omg im so sorry but i need help again guys:(
The expression for the side length of the bulletin board is √n (option B).
What is the expression for the side length?A square is an object with four sides that are of equal length. The sum of angles in a square is 360 degrees. A square has two diagonals that are of equal length that bisect each other at a right angle.
The area of a square can be determined by calculating the square of a side length.
The area of a square = length x length
= length²
If the area of a square is given, to determine its side length, find the square root of the area.
Length of a side = √area
√n
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Can anyone help me with this please.
Answer:
sketch them into a graph and use the vertical-line trick. If you don't know what this is, you see if two points pass through the same verticaly. If it does than it is NOT a function. If it doesn't it IS a function
If it does theStep-by-step explanation:
Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years. What was the annual
interest rate?
If Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years then 3.33% is the annual
interest rate.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Fiona deposited $900 in the bank over 2 years.
She earned $60 in simple interest at the end of the 2 years.
We have to find the annual interest rate
I=PRT
60=900×2×T
60=1800T
Divide both sides by 1800
T=3.33%
Hence, the annual interest rate is 3.33%
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You are standing 200 feet away from the Statue of Liberty that is 200 square root 3 feet tall looking at the top of it what is the angle of elevation from the ground where are you standing to the top of the Statue of Liberty
Answer:
π/3
Step-by-step explanation:
So we have a right triangle, the statue of liberty at this 90 degree angle and you at the angle which we want to determine;
tan(A) = opp/adj = 200√3/200
A = tan^-1(200√3/200)
= tan^-1√3 = π/3
The angle of elevation from the ground is 60º.
It is required to find the angle of elevation from the ground.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given that:
The height of the statue will be the opposite side while the distance will be the adjacent side.
By trigonometric function we have,
Tan Ф= perpendicular/base
= (200√3)/200
= √3
Using inverse trigonometric function:
Ф = \(Tan^{-1} \sqrt{3}\)
Ф = 60º
Hence, the angle of elevation from the ground is 60º.
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There are 18 girls in a class. If this number 3 by 5 is parts of the total number students in the class, find the total number of students in the class.
Answer:
33
Step-by-step explanation:
18 girls in a class
3*5=15
Answer:
30
Step-by-step explanation:
3 : 5 = 18 : x
x = 18 * 5 /3
x = 6 * 5 = 30
The amplitude of a periodic function is 8.5 and its minimum value is 0. What is the functions
maximum value?
Answer:
maximum value is 17.
Step-by-step explanation:
8.5=1/2(x-0)
8.5=1/2x
8.5=x/2
8.5×2=x
17=x
x=17
the chart below shows the predicted tide level during a 2-day period of time for crescent city, ca on july 24 and 25, 2007. answer the questions below based on the chart. how many high tides (or peaks) are there each day?
The graph shows the tides' behavior within a 24-hour period. Two high tides are visible with different amplitudes, and the relative height above the MLLW is not the same. Similarly, two low tides can be observed, with the lowest amplitude and lower amplitude having relative heights of 1 foot and 3.7 feet above the MLLW.
The tidal pattern in this graph is a mixed one, with two high and two low tides of different sizes. The maximum tidal range observed in this period is calculated as 5.2 feet by subtracting the height of the lower low tide from that of the higher high tide.
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Complete Question:
the chart below shows the predicted tide level during a 2-day period of time for crescent city, ca on july 24 and 25, 2007. answer the questions below based on the chart. how many high tides (or peaks) are there each day?
Amanda is cooking a turkey for dinner. The recipe says that the turkey should cook for 1 1/2 hours. She has been cooking the turkey for 25 minutes. According to the recipe, how many more minutes does the turkey need to cook?
Answer:
65 minutes
Step-by-step explanation:
If we know that an hour has 60 minutes, and she needs to cook it for 1 1/2 hours, we can use an equation that looks something like this:
(m = minutes left)
(1.5 × 60) - 25 = m
Now just solve.
1.5 × 60 = 90
90 - 25 = 65
The turkey needs to cook for 65 more minutes, or an hour and 5 minutes.
find the z-score such that the interval within x standard deviations of the mean contains 50% of the probability
Then a z-score such that the interval within one standard deviation of the mean contains a 50% probability is 1.
To find a z-score where an interval within x standard deviations of the mean contains a 50% probability, you can use the standard normal distribution (also known as the z-distribution).
In a standard normal distribution, the 50% probability is between -1 standard deviation and +1 standard deviation from the mean. Therefore, a range within one standard deviation contains a 50% probability.
If you want to obtain a z-score over a range of x standard deviations, you can simply set x to the desired number of standard deviations. In this case x = 1.
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A rhombus with four 90° angles can also be called _____.
a. square
b. trapezoid
c. heptagon
d. rectangle
Answer:
square is the answer...
HELP ASAP FOR BRAINLIEST
Answer: i am pretty sure its the first one
Step-by-step explanation:
i don't know for sure
If someone asks you to guess a number between 1 and a million and you use the "cut in half" strategy, what will your first question be? How many guesses will it take you? [Hint: The number of guesses required may remind you of another famous guessing game. ]
If someone asks you to guess a number between 1 and a million and you use the "cut in half" strategy, It will take you a maximum of 20 guesses to find the number using this strategy.
When someone asks to guess a number between 1 and a million and you use the "cut in half" strategy, the first question you'll ask is whether the number is greater than or less than 500,000.
Since 500,000 is the midpoint of the range, the question will cut the possibilities in half. By asking this question first, you eliminate half of the possible numbers as either too low or too high, so you're left with 500,000 possible numbers. This is similar to the binary search algorithm used in computer science.
It will take you a maximum of 20 guesses to find the number using this strategy.
To see why, consider that each question cuts the number of possibilities in half. Starting with a range of 1 to 1,000,000, the first question cuts the possibilities to 500,000.
The second question cuts that range to 250,000, the third question to 125,000, and so on.
After 20 questions, you'll have narrowed the possibilities down to a single number.
So, to sum up, the first question you should ask when using the "cut in half" strategy to guess a number between 1 and a million is whether the number is greater than or less than 500,000. Hence, It will take you a maximum of 20 guesses to find the number using this strategy.
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You have three $5 bills and four $10 bills in your wallet. You randomly select different dollar bills from your wallet. Find the probability that you select a $5 bull second given that you randomly selected a $10 first.
The probability to select $5 bill when the first selected bill is $10 is given by 1/2.
Probability is the possibility to occur of an event.
In mathematical terms, probability can be defined as,
\(\text{Probability}=\frac{\text{The number of favorable case}}{\text{The total number of case}}\)
Given that, the number of total $5 bills = 3
the number of $10 bills = 4
Total number = 3+4 = 7
If the first drawn bill is $10, then the number of $10 bills = 4-1 = 3
Total number of bills =7-1 = 6
So the probability to select $5 bill when the first selected bill is $10 = 3/6 = 1/2
Hence, the probability to select $5 bill when the first selected bill is $10 is given by 1/2.
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19) Given that f(x)x² - 8x+ 15x² - 25find the horizontal and vertical asymptotes using the limits of the function.A) No Vertical or Horizontal asymptotesB) No Vertical asymptotesHorizontal asymptote aty - 1Vertical asymptote at x = 5Horizontal asymptote at y = 1D) Vertical asymptote at x = -5Horizontal asymptote at y = 1
EXPLANATION
Since we have the function:
\(f(x)=\frac{x^2-8x+15}{x^2}\)Vertical asymptotes:
\(For\:rational\:functions,\:the\:vertical\:asymptotes\:are\:the\:undefined\:points,\:also\:known\:as\:the\:zeros\:of\:the\:denominator,\:of\:the\:simplified\:function.\)Taking the denominator and comparing to zero:
\(x+5=0\)The following points are undefined:
\(x=-5\)Therefore, the vertical asymptote is at x=-5
Horizontal asymptotes:
\(\mathrm{If\:denominator's\:degree\:>\:numerator's\:degree,\:the\:horizontal\:asymptote\:is\:the\:x-axis:}\:y=0.\)\(If\:numerator's\:degree\:=\:1\:+\:denominator's\:degree,\:the\:asymptote\:is\:a\:slant\:asymptote\:of\:the\:form:\:y=mx+b.\)\(If\:the\:degrees\:are\:equal,\:the\:asymptote\:is:\:y=\frac{numerator's\:leading\:coefficient}{denominator's\:leading\:coefficient}\)\(\mathrm{If\:numerator's\:degree\:>\:1\:+\:denominator's\:degree,\:there\:is\:no\:horizontal\:asymptote.}\)\(\mathrm{The\:degree\:of\:the\:numerator}=1.\:\mathrm{The\:degree\:of\:the\:denominator}=1\)\(\mathrm{The\:degrees\:are\:equal,\:the\:asymptote\:is:}\:y=\frac{\mathrm{numerator's\:leading\:coefficient}}{\mathrm{denominator's\:leading\:coefficient}}\)\(\mathrm{Numerator's\:leading\:coefficient}=1,\:\mathrm{Denominator's\:leading\:coefficient}=1\)\(y=\frac{1}{1}\)\(\mathrm{The\:horizontal\:asymptote\:is:}\)\(y=1\)In conclusion:
\(\mathrm{Vertical}\text{ asymptotes}:\:x=-5,\:\mathrm{Horizontal}\text{ asymptotes}:\:y=1\)What is the relationship of the edge length of the cube
to its volume?
Volume is equal to \(a^{3}\) where an is the width or length of its edges.
The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes \(centimetres^{3}\), \(metres^{3}\), \(inches^{3}\), \(feet^{3}\), etc.
A solid three-dimensional figure with 6 square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square shape means that all of its sides are square, and as a result, all of its edges would be of equal length. As a result, the cube's length, breadth, or height are all equal.
If a cube's length, breadth, and height are equal to "a," then;
Cube volume = a\(\times\)a\(\times\)a.
Therefore, Volume of cube is \(a^{3}\) where a is the length of the edge.
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The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, \(\mu\) = 48 monthsStandard deviation, \(\sigma\) = 8 monthsThe z-score is then computed as follows:
\(z=\frac{x-\mu}{\sigma}\)We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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Two pounds of grapes cost $6. How many pounds of grapes can you buy with $16.50?
Answer:
Step-by-step explanation: ok so what equation has a 6 in it and the sum is 16? Figure that out then you get your answer
Answer:
5.5 pounds
Step-by-step explanation
if 2 pounds is $6, then you have to do 6 divided by 2 which is 3. So you now know 1 pound of grapes is $3 so you do 16.50 divided by 3 which is 5.50.
I am a number between 60 and 100 my digit is two more than my tens digit I am a prime number what number am I
Answer:
97
Step-by-step explanation:
x has to be more than 60 and less than 100
the primes between those are 61,67,71,73,79,83, 89, 97
97 is two less in the ones than in the tens so it completes all of the requirements of the riddles therefore, 97 is the answer.
Answer:
It is 79
Step-by-step explanation:
9-7 is 2
11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball? a) 0.2333 b) 0.5376 c) 0.5600 d) 0.2567 e) 0.3033 f) none of the above.
The probability for the given condition is, 0.56.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given:
11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession.
We have to find the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball.
P(white ball) = 14 / (11 + 14) = 14 / 25
P(2nd ball is white) = P(first ball is white)*P(2nd ball is white) + P(first ball is black)*P(2nd ball is white)
= (14 / 25) * (13 / 24) + (11 / 25) * (14 / 24)
=0.56
Hence, the probability for the given condition is, 0.56.
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When F(x) = -3, what is x?
Answer:
-1
Step-by-step explanation:
How do i make 2 ( x + 3 ) into a no solution problem?
Answer:
By making x = -3
Step-by-step explanation:
If X was -3 then -3 plus 3 equals 0, and 2 multiplied by 0 is 0, so the problem will have no solution.
Hope this helps! :)
Question 9 Which of the following distributions has a mean that varies? I. The population distribution II. The distribution of sample data III. The sampling distribution of the sample mean
O ll only
O Il only
O Tonly
O all three distributions
O I and III
II only- the distribution of the sample data.
A sampling distribution is a probability distribution of a statistic generated from more samples taken from a specific population.
The sampling distribution shows how the sample means will vary in repeated samples.
The mean is the most common kind of sampling distribution. This kind concentrates on figuring out the mean average of all sample means, which results in the sampling distribution.
A sampling distribution mean is obtained by adding together the average of each sample and reflecting the characteristics of the entire population.
As the number of samples increases, the standard deviation falls, resulting in a normal frequency distribution or a bell-shaped graph.
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A sampling distribution is a probability distribution of a statistic generated from more samples taken from a specific population.
The sampling distribution shows how the sample means will vary in repeated samples.
The mean is the most common kind of sampling distribution. This kind concentrates on figuring out the mean average of all sample means, which results in the sampling distribution.
#6 write it in y=MX+B
Answer:
\(m = \frac{14 - 7}{2 - 0} = \frac{7}{2} \)
\(14 = \frac{7}{2} (2) + b\)
\(14 = 7 + b\)
\(b = 7\)
\(y = \frac{7}{2} x + 7\)
-8, 0, 8, 16, 24,... Find the 65th term value.
Answer:
520
Step-by-step explanation:
nth term = + 8
Answer:
need more info. this doesn't make sense
Step-by-step explanation:
Find the number of diagonals in a regular polygon with 7 sides
Answer:
To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).
Step-by-step explanation:
write the negation of the statement "for every real number x, x is a prime number or x can be written as the sum of two prime numbers."
The negation of the statement "for every real number x, x is a prime number or x can be written as the sum of two prime numbers" is "there exists a real number x such that x is not a prime number and x cannot be written as the sum of two prime numbers."
Prime numbers are a type of integer that can only be divided evenly by 1 and itself. They play an important role in number theory, as they are the building blocks of the natural numbers. Prime numbers have a variety of interesting properties, such as being infinite in number and having no common factors with other numbers except 1. Understanding prime numbers is essential to many areas of mathematics, including cryptography, algorithms, and geometry.
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