The best interpretation of the mean of X is in the long run, a player will lose an average of $0.15 per carnival game played.
What do you mean by Mean?
The average of the specified collection of numbers is what is referred to as mean. It indicates a data set's values are distributed equally.
Given:
Amount = $1 $1 $10
Probability = 0.80 0.15 0.05
In mathematics and statistics, the arithmetic mean is the sum of a set of integers divided by the total number of the numbers in the set. When the context is clear, it is also referred to as the mean or average. A set of experiments or survey findings are typically included in the collection.
Hence, the correct option is (A) In the long run, a player will lose an average of $0.15 per carnival game played.
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In two or more complete sentences, describe how to determine if the function f(x)=2cos(x) is even by looking at a graph.
The given function f(x) = 2 cos (x) is an even function because the result of the cosine of negative angles are the same with those of positive angles.
How to determine an Even Function?
To check if a function is odd or even, we have to calculate f(−x).
The function is even if f(-x) = f(x)
The function is odd if f(-x) = -f(x)
We are given the function as; f(x) = 2 cos (x)
f(-x) = 2 cos (-x)
Now, we know that the cosine of a negative angle always gives the same value as the cosine of the positive angle and as such, we can say that;
2 cos (-x) = 2cos (x)
The same result as f(x) which tells us that it is an even function
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How many time in one day will the number on a digital clock (only minute and hour), if added together, equal ix? Explain your anwer
The traditional division of a day into 24 hours of 60 minutes each, with each minute made up of 60 seconds.
What is a clock?A tool used to measure and indicate time is a clock, often known as a timepiece.
One of the earliest human creations, the clock satisfies the requirement to measure time intervals less than those found in natural units like the day, lunar month, and year.
Over the centuries, various physical mechanisms have been utilized to power devices.
A few clocks that predate the contemporary model and are based on natural movement include:
A sundial displays the location of a shadow on a flat surface to indicate the time. There are various duration timers; the hourglass is one well-known type. The two time-telling devices that may be the oldest are water clocks and sundials.
The development of led to a significant advancement.
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Someone answer this please thank you
Answer:
The answer is 1/2
Step-by-step explanation:
x1 y1. x2. y2
(5, 8) (2, 2)
So you suppose to subtract xl by x2 then subtract y1 by y2
5-2.
------=
8-2.
which equal 3/6. Which 3/6 is equal to 1/2
Find the missing value. Round your answer to the nearest tenth of a percent. Principal=$1300, Rate=?, Time=18 months, Simple Interest=$90
The missing value in the simple interests formula is rate and it is solved to be 4.62%
How to find the rateThe formula for simple interest is
= P * T * R / 100
P = principal= $1300
T = time = 18 months = 1.5 years
R = rate = ?
simple interest = $90
substituting the values
90 = 1300 * 1.5 * R / 100
90 * 100 = 1300 * 1.5 * R
9000 = 1950R
R = 9000 / 1950
R = 4.615385
R = 4.62
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in regression analysis, measures the proportion of the variation in the dependent variable that is explained by the independent variable(s).
The coefficient of determination (R² or r-squared) is a statistical measure in a regression model that determines the proportion of variance in the dependent variable that can be explained by the independent variable.
What is variance?Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.
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use the appropriate normal distribution to approximate the resulting binomial distributions. a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 22 customers in the sample buy coffee during their visit on that certain day of the week? a) 0.7764 b) 0.7967 c) 0.7224 d) 0.8413 e) 0.8238 f) none of the above.
The probability that fewer than 22 customers in the sample buy coffee during their visit is 0.7764.
What is a normal approximation to the binomial?
When we utilize a continuous distribution (the normal distribution) to approximate a discrete distribution, we use the normal approximation to the binomial (the binomial distribution). The Central Limit Theorem states that if the sample size is high enough, the sampling distribution of the sample means approximates normality.
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
Given, 55% of the customers buy coffee, p = 0.55
Sample of 35 customers, n = 35
mean [tex]\mu[/tex] = np = 35*0.55 = 19.25
standard deviation, [tex]\sigma = \sqrt{np(1-p)}[/tex] = [tex]\sqrt{35*0.55*0.45}[/tex] = 2.94
So, the probability that fewer than 23 customers in the sample buy coffee is
P(X < 22 - 0.5) = P(X < 21.5)
= [tex]P(\frac{X-\mu}{\sigma} < \frac{21.5-19.25}{2.94})[/tex]
= P(Z<0.765) = 0.7764
Hence, the probability that fewer than 22 customers in the sample buy coffee during their visit is 0.7764.
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question: 14. which of the following shapes replaces the question mark to complete the series? ? 8 oo aa
Pattern Recognition is defined as the pattern is a number, shape, or something repeated in a particular way. Analysis of patterns should consider on different basis. The correct option is option (d).
The main basis of Pattern Recognition are the following:
1. Color change
2. Shape change
3. Rotation change
4. Size change
we have given three shapes pattern and we have to find out the perfect shape for forth place and the required shape follow the order like others.
After examine the pattern, we can see that the first figure is a filled triangle and the second figure is a hollow circle. This pattern is maintained alternately. The last figure(3rd place) is an open circle, so the next figure is a filled triangle.
So, the correct option is d.
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Solve 3x² - x = 10
A.X=2 and X=-15
B. X=-5 and X= 2/3
C. X=-5/3 and X=2
D. X=-3 and X=10
Answer:
C. x = -5/3 and x = 2
Step-by-step explanation:
Bring the 10 over to the other side of the equation.
3x² - x - 10 = 0
Factorise.
(3x + 5)(x - 2) = 0
3x + 5 = 0 or x - 2 = 0
3x = -5 or x = 2
x = -5/3 or x = 2
explain why we need to define the vector space p n as the set of all polynomials with degree up to and including n instead of the more obvious set of all polynomials of degree exactly n .
Any n-dimensional vector should be able to be represented in space
What is standard form of a polynomial?
When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.
To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable
Any n-dimensional vector should be able to be represented in space.
If it only has terms of degree n, it can only express polynomials of degree n.
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An airplane that travels 550miles an hour is still Air encounters a 50 mph headwind . How long will it take the plane to travel 850 miles into the wind ?
Answer:
It will take the plane 11 mph to travel 850 miles
What is the difference in total degrees between a regular hexagon and a regular pentagon?.
Answer:
180
Step-by-step explanation:
Pentagon has a total interior angle of 540 degrees.
Hexagon has a total interior angle of 720 degrees.
720-540 = 180
a binomial distribution has a 60% rate of success. there are 18 trials. what is the probablility that there will be at least 12 successes
The probability that there will be at least 12 successes in the total 18 trials with 60% rate of success is ¹⁸C₁₂(0.6)¹²(0.4)⁶+¹⁸C₁₃(0.6)¹³(0.4)⁵+¹⁸C₁₄(0.6)¹⁴(0.4)⁴+ ¹⁸C₁₅(0.6)¹⁵(0.4)³ +¹⁸C₁₆(0.6)¹⁶(0.4)²+ ¹⁸C₁₇(0.6)¹⁷(0.4)¹+ ¹⁸C₁₈(0.6)¹⁸(0.4)⁰
Binomial Probability distribution, In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments.
We have given that :
Rate of sucess (p) = 60% = 0.6
Rate of failure (q) = 1 - 0.6 = 0.4
Number of trials (n) = 18
We want to find P(there will be at least 12 sucess)
Use binomial distribution to find given mentioned probability.
X ~ Bin( 18, 0.6)
P (X= x ) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
Let, X= Number of success among 18
So that it suitable for binomial distribution with parameters are n and p.
P(there will be atleast 12 success)
= P(X>= 12)
18
= ∑ ⁿCₓ (p)ˣ(q)⁽ⁿ⁻ˣ⁾ =
x = 12
¹⁸C₁₂(0.6)¹²(0.4)⁶+¹⁸C₁₃(0.6)¹³(0.4)⁵+¹⁸C₁₄(0.6)¹⁴(0.4)⁴+ ¹⁸C₁₅(0.6)¹⁵(0.4)³ +¹⁸C₁₆(0.6)¹⁶(0.4)²+ ¹⁸C₁₇(0.6)¹⁷(0.4)¹+ ¹⁸C₁₈(0.6)¹⁸(0.4)⁰
= say x
Hence, the required probability is x
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what is exact value of sin ø
Answer:
Step-by-step explanation:
Answer:
(d) -(√2)/2
Step-by-step explanation:
You want the exact value of the sine of an angle when its terminal side intersects the unit circle at (√2/2, -√2/2).
SineThe coordinates of the point where the terminal side of angle θ intersects the unit circle are ...
(cos(θ), sin(θ))
Comparing this to the given point, we find that ...
sin(θ) = -√2/2
Given that (-2,3) is on the graph of y=f(x), find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.
Answer for 100 points.
The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)
Which ordered pair is on the function y=f(2x+1)+3?
Here we know that for the function:
y = f(x)
And we know that the point (-2, 3) belongs to the function, this means that:
f(-2)= 3
Now we want to find a point on the function:
f(2x + 1) + 3
If we find x such that:
2x + 1 = -2
2x = -3
x = -3/2
Now we can evaluate the function in that value of x to get:
y = f(2*-3/2 + 1) + 3
y = f(-2) + 3
y = 3 + 3
y = 6
Then we have the point (-3/2, 6) on the function.
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if i don't get this right i fail
The value of x in the first circle is 2, and in the second circle is 4 after applying the intersecting secants theorem.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
A circle:
Applying intersecting secants theorem:
4(4 + x) = 3(3 + 5)
16 + 4x = 24
4x = 8
x = 2
In the second circle:
9(4x) = 8(4x+2)
After solving we get:
x = 4
Thus, the value of x in the first circle is 2, and in the second circle is 4 after applying the intersecting secants theorem.
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if a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution, what can you conclude about the students' scores?
If a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution we can say about student's score that, about an equal number of students had relatively high and relatively low score.
A symmetrical distribution entails that the scores have the same number at a given distance above or below the average. Therefore an equal number of people had relatively high and relatively low scores. This contradicts most having relatively high or low scores, or not drawing any conclusions about scores.
Symmetrical distribution is evident when values of variables occur at a regular interval. In addition, the mean, median and mode occur at the same point.
Three of the many ways to measure central tendency are the mean, median and mode.
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question 7 a restaurant gathers data about a new dish by providing free samples to parties of six or more diners. what does this scenario describe? 1 point sampling bias geographically limited sampling unbiased sampling random sampling
The scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.
What is sampling bias?
Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.
Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.
Hence, the scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.
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what is 11 feet 7 inches plus 10 feet plus 14 feet and 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches
After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.
Given that,
We have to find what is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.
We know that,
1 feet is equal to 12 inches.
So,
We can write as
11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.
11f 7in+ 14f 6in +35.5in+ 30in + 6f 10in
11(12)+7in+14(12)+6+35.5+30+6(12)+10
132+7+168+6+35.5+30+72+10
460.5
Therefore, After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.
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Please Help what is x
Answer: x=[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
There are special right triangles in this! First, you need to find out what I am saying.
45-45-90 triangle
The bottom triangle has angles measures of 45, 45, and 90 degrees. There is a theorem that states that the two legs are equal, and the hypotenuse is leg×[tex]\sqrt{2}[/tex].
Plugging it in will give you leg lengths of [tex]4\sqrt{2}[/tex].
Plug in that number into the side that connects with our next very special triangle:
30-60-90 triangle
Another theorem states that the hypotenuse is shorter leg times 2, the longer leg is shorter leg times [tex]\sqrt{3}[/tex].
Great! We have the shorter leg. Now we need to find the hypotenuse. Multiply [tex]4\sqrt{2}[/tex] by 2, and you get [tex]8\sqrt{2}[/tex]. That is x!
The final answer to this problem is: x=[tex]8\sqrt{2}[/tex]
Hope this helped a lot!
Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?
Answer:
$36
Step-by-step explanation:
Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What is the total cost of the tacos?
$3 * 2 * 6 = $36
the base of the first booth is the shape of a triangle. write a polynomial that represents the area of the booth. write your answer in descending order. please use the palette below to enter your answer.
The polynomial that represents the area of the booth is 3[tex]t^3[/tex]-12t.
How to calculate polynomial for triangle area?Polynomial is a expression of variable, coefficients, and constants with mathematics operation of subtraction, addition, multiplication, and powers (only positive integers) of variable.
So, basically to calculate polynomials is the same as normal calculations except that the numbers are changed to variables.
Base length = 2[tex]t^2[/tex]-8
Height length = 3t
Calculate the area of triangle. So,
Area of triangle = (1/2) × base × height
= (1/2) × 2[tex]t^2[/tex]-8 × 3t
= (1/2) × 6[tex]t^3[/tex]-24t
= 3[tex]t^3[/tex]-12t
Thus, the area of the booth can be written by this polynomial 3[tex]t^3[/tex]-12t.
Your question is incomplete, but most probably your full question was (image attached).
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The cost of a movie ticket is \$ 8. 00$8. 00 for each adult and \$ 6. 00$6. 00 for each child. Assume you have \$ 40. 00$40. 00 to spend on tickets. Write an equation in standard form to represent the number of adult tickets, xx, and the number of children's tickets, yy, you can buy with your \$ 40. 00$40. 0.
Since an adult movie ticket costs $8 and a kid movie ticket costs $6, the equation for the given condition is 8x+6y=40.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
The cost of movie ticket for adult= $8
The cost of movie ticket for adult= $6
Total amount to spend= $40
Let x be the number of adult and y be the number of children,
8x+6y=40
The equation for the given condition is 8x+6y=40 as the cost of movie ticket for adult is $8 and for children, it is $6.
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Five bands in a tour agree to determine the order of performance based on random selection. The names are placed on cards and the cards are pulled randomly.
What is the probability of Ultraviolet performing fourth and Abacus performing last?
A: 3/5
B: 7/120
C: 7/32
D: 1/20
The probability of Ultraviolet performing fourth and Abacus performing last is 1/20.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
In a tour, five bands agree to determine the order of performance on the basis of random selection.
Since, the name of 5 bands are pulled randomly.
The probability of Ultraviolet performing fourth = 1/5
And the probability of Abacus performing last = 1/4, since 1 place is fixed for Ultraviolet.
Probability of Ultraviolet performing fourth and Abacus performing last
= 1/5 x 1/4 = 1/20
The required probability is 1/20.
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use the product rule to find the derivative of the given function. b. find the derivative by expanding the product first.
The derivative of the given function using product rule is 6x+1 .
What is Product Rule?
This rule is used when we want to differentiate a function that may be regarded as the product of one or more functions.
Let u(x) and v(x) be differentiable functions.Then the product of the functions u(x)v(x) is also differentiable and: (uv)′=u′v+uv′
Main Body:
We add the derivative of the first times the second to the first times the
derivative of the second.
Power Rule:
If f(x)=xn
where n is any real number, then:
(xⁿ)′=nxⁿ⁻¹
. We have,
f(x) = (x-1) (3x+4)
Differentiate with respect to z by using product rule
(uv)′=u′v+uv′
h' (x) = (x-1)' (3x+4) +(x-1)(3x+4)'
h'(X) = 1(3x+4) + (x-1) (3)
On simplifying:
h'(x) = 3x+4 +3x-3
h'(x) = 6x +1
Hence the derivative of function is 6x+1.
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If x4xy= x16, what is the value of y?
Answer:
4/x
Step-by-step explanation:
explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters are exponentially distributed with mean 10 feet. find the mean and variance of the areas produced by these explosive devices.
The mean and the variance of the areas produced by these explosive devices is 314
Variance:
In statistics, variance refers a measure of dispersion that takes into account the spread of all data points in a data set.
Given,
Here explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters are exponentially distributed with mean 10 feet.
Now, we need to find the mean and variance of the areas produced by these explosive devices.
In order to find the means and variance we have to use the formula ,
A = πr²
Here the value of r is 10,
Then the value of A is calculated as,
=> A = π(10)²
=> A = π x 100
We know that the value of π = 3.14, then the value of A is,
=> A = 3.14 x 100
=> A = 314.
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let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.
There are 123 different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.
Probability: The branch of mathematics known as probability deals with numerical expressions of the probability that an event will occur, or the probability that a statement will be true.
The probability of an event is a number between 0 and 1, with approximately 0 meaning improbability and 1 meaning certainty.
The probability of an event occurring increases with its probability. A simple example is tossing a fair (fair) coin.
Both outcomes (heads and tails) have equal probability, the coin is fair, heads are more likely than tails, there are no other possible outcomes, and either outcome has half the probability.
According to our question:
Let n be the maximum number of subsets of 5 elements that can be chosen from the first 14 natural numbers,
where at least 2 of the 5 digits are consecutive.
We created a block of two consecutive numbers ((1,2), (2,3), (13,14), etc.).
Now you can select this block in 13 different ways. You have to choose 3 numbers from the remaining 12 numbers.
So, from the multiplication principle, we know that we have 13 × (123).
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What is the distance between (-3, 4) and (-3, 10)? on a graph
Answer:
6 units away
Step-by-step explanation:
Since they already have the same x-axis I just need to find the difference in the y-axis
i need help ASAP please.
Answer:
altitude=8mm
Step-by-step explanation:
so a^2+b^2=c^2
substitute and you get
a^2+6^2=10^2
a^2+36=100
a^2=100-36=64
a^2=64
a=8
Answer: 8 mm
Step-by-step explanation:
The altitude of the triangle can also be known as the "height" from the highest point as a straight line perpendicular to the opposite side (the "bottom" which is also known as the "base" of the triangle).
This altitude makes two right triangles, so we will use the Pythagorean theorem to help us solve.
a² + b² = c²
a² + (6)² = (10)²
a² + 36 = 100
a² = 64
a = 8
The altitude of this triangle is 8 mm.
m/4 = 77°, m/8 = 4x + 57