If maggie owes billy $14, her mother $45 and her sister $32. if Maggie has $100 in her purse and pays everyone back then 9 is the money maggie have left over
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
maggie owes billy $14
Maggies mother $45
Maggies sister $32
Maggies has $100 in her purse and pas everyone bills, we need to find how much money will maggie have left over
To do this we have to add all the bills and subtract from 100
Fourteen plus forty five plus thirty two
14+45+32
Ninety one
91
Now subtract 91 from 100.
100-91
9
Hence, $9 is the money will maggie have left over
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what does it mean for a sample to have a standard deviation of zero? describe the scores in such a sample. when standard deviation is zero, no two scores are exactly the same. when standard deviation is zero, you cannot measure variability. when standard deviation is zero, the scores have no variability. when standard deviation is zero, there are no data points in the sample.
A sample to have a standard deviation of zero means the score has no variability.
When the score has no variability it points towards the standard deviation being zero, This is the case where all the scores in the sample have the exact same value. This means there is no spread in the data set at all. The data set is combined in a single clumped value. Since there is only one value it would be the mean of the data set. The standard deviation measures the spread of a quantitative data set. This number cannot be a non-negative real number.
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1. 1/4 of a vegetable garden has broccoli and 2/3 of the garden has peppers. How much of the garden has vegetables growing in it?
2. Jessica and Maria are both making slime with different recipes. Jessica’s recipe calls for 1 1/2 cups of flour and Maria’s recipe calls for 2/3 cups of flour. How many cups of flour will they need in order to make both of their batches of slime?
3. Donnie has a pool and recently discovered a leak. He continues to patch the leak until someone can come out to repair it. After all the water has completely drained out of the pool due to the patch coming off, it takes him two days to fill the pool back up. It takes three days for the pool to drain completely. How long would it take to fill the pool if the patch is off while Donnie is refilling it?
4. I baked a cake for my sibilants. My brother ate 1/8 of the cake and my sister ate 3/4. How much of the cake is left for me?
5. Amanda is making oatmeal cookies with raisins and pecans for her club. The recipe makes seventeen oatmeal cookies. It takes 1/4 of a cup of nuts and 1/2 a cup of radon’s just for seventeen cookies! There are thirty-four members in Amanda’s club. If she makes exactly thirty-four cookies, how many cups of nuts will she need?
6. Felipe has a business where he builds and sells birdhouses. To build 12 birdhouses, he needs 5 1/4 meters of wood. During the holiday season, Felipe was asked to make 4 1/2 times the number of birdhouses he usually makes. How many meters of wood does Felipe need to make that many birdhouses?
7. It is Nadine’s birthday, and she is making walnut brownies for her sleepover. She invited eight of her friends to her party. The recipe that she is using makes twenty-four brownies, but she only wants to make eight. The recipe for twenty-four calls for 4 1/2 cups of walnuts. How many cups of walnuts will she need for eight people?
8. A candy bar is 5 1/3 inches long. If it is divided into pieces that are 1 1/4 inches long, then how many pieces of candy bar will there be?
9. A maple tree can grow in average to be 90 feet tall. Redwood trees can grow to be 2 2/3 times bigger than a maple tree. What is the average height of a Redwood tree?
10. A piece of rope is 24 1/2 feet long. How many 1/4- foot sections can be cut from it?
Broccoli and peppers occupy 11/12 of the gardenAs a result, 11/12 of the garden is filled with vegetables.
How can I determine how much of a garden's growing veggie there is?1,Let's add up those two fractions to determine how much of the entire garden contains broccoli and peppers since we know that 1/4 of the garden has broccoli and 2/3 of the garden contains peppers.
Consequently, 1/ 4 + 2/3 =?
It is necessary for the denominator to match.
Consequently, 1/4 x 3/ 3 = 3 / 12.
2/3 × 4 /4 = 8 / 12
Hence, 3 / 12 + 8 / 12 = 11 / 12
2 ,Amount of flour needed to complete both recipes =2+1/4+1
3, Baked cake 1 /8 +3/4,
6 , Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes
= 54 / 12 x 5¹/₄
= 23 ⁵/₈ meters
7, 24 brownies = 9/2 cups of walnuts
8 brownies =1 1/2 cups of walnuts
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Carly wants to buy 10 litres of paint and
only wants to go to one shop to buy it.
Home Stores sells 2 litre tins of paint for
£4.85 each.
Paint Supplies sells 1 litre tins of paint for
£3.60 each and it's 3 for 2.
The DIY shop sells 2.5 litre tins of paint for
£7.50 each, and it's buy 3 get 1 free.
What is the cost of getting 10 litres from
each shop?
Write down where Carly should buy her
paint from in the comment box.
Answer:
Home Stores
4.85×5
= 24.25
Paint Supplies
£18
Describe the transformation of
f(x) = -2|x + 1 + 5
Shift Up__units.
Shift Down__units.
Shift Right__units.
Shift Left__units.
Compress by a factor of__
Stretch by a factor of__
Reflect over__axis.
The transformation of the equation f(x) = -2|x + 1| + 5 is
Shift Left 1 units
Shift Up 5 units
Compress by a factor of 2
Reflect over x axis
Interpretation of the transformationsTransformation involves movements of image or object usually described in a cartesian plane
starting from |x| at the origin
|x + 1| is a shift to the left 1 unit
|x + 1| + 5 is a shift on the y axis, it represents a shift up 5 units
2|x + 1| + 5 is a vertical compression by a factor of 2
-2|x + 1| + 5 the negative sign shows reflection over x axis turning the graph over
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The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?
The number of ribbons that is needed for 7 presents is 73 ribbons.
She needs 5 packages.
What is an expression?An expression is simply used to illustrate the relationship between the variables.
In this case, it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used.
The ribbons needed for 7 presents will be:
= 10p + 3
= 10(7) + 3
= 70 + 3
= 73
Since it's sold in 15 feet packages, the number needed will be:
= 73 / 15
= 5
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determine the intercepts of the line.
-4x + 7y = 3
Answer:
x intercept = (-3/4, 0)
y intercept = (0, 3/7)
Step-by-step explanation:
just ask :))
Radioactive elements decrease (or decay) exponentially. Suppose that 120 mg of an unknown radioactive
element decays down to 99 mg after 11 days.
(a) What is the half-life of the element? That is, how many days will it take before half of the original sample
has decayed?
half-life:
days (rounded to at least 2 decimal places)
(b) How long will it take for a sample of 99 mg in this scenario to decay to 40 mg?
days (rounded to at least 2 decimal places)
time needed:
Considering an exponential function, it is found that:
a) The half-life of the element is of 39.63 days.
b) The time needed is of 51.82 days.
What is an exponential function?A decaying exponential function is modeled by the equation presented as follows:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which the variables of the equation are:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the parameters are given as follows, from the text:
A(0) = 120, A(11) = 99.
Hence the decay rate r is obtained as follows:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]120 = 99(1 - r)^{11}[/tex]
[tex](1 - r)^{11} = \frac{99}{120}[/tex]
[tex]1 - r = \sqrt[11]{\frac{99}{120}}[/tex]
[tex]1 - r = \left(\frac{99}{120}\right)^{\frac{1}{11}}[/tex]
1 - r = 0.98266367982
Hence the equation is:
[tex]A(t) = A(0)(0.98266367982)^t[/tex]
The half-life is the value of t for which:
A(t) = 0.5A(0).
Hence:
[tex]A(t) = A(0)(0.98266367982)^t[/tex]
[tex]0.5A(0) = A(0)(0.98266367982)^t[/tex]
[tex](0.98266367982)^t = 0.5[/tex]
[tex]\log{(0.98266367982)^t} = \log{0.5}[/tex]
[tex]t\log{(0.98266367982)} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{(0.98266367982)}}[/tex]
t = 39.63 days.
For item b, the time is obtained as follows:
[tex]A(t) = 99(0.98266367982)^t[/tex]
[tex]40 = 99(0.98266367982)^t[/tex]
[tex](0.98266367982)^t = \frac{40}{99}[/tex]
[tex](0.98266367982)^t = 0.40404040[/tex]
[tex]t = \frac{\log{0.40404040}}{\log{(0.98266367982)}}[/tex]
t = 51.82 days.
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a closed right circular cylinder is to have a volume of 128pi cubic inches. find the radius r and height h of the cylinder with minimal surface area
∛128 is the radius r and height h of the cylinder with minimal surface area .
What is Surface Area?
The term "area" refers to the area occupied by a flat, two-dimensional surface. In square units, it is calculated. A three-dimensional object's surface area is the space it takes up when viewed from the outside.V = πr²n
128π = πr²n
n = 128/r²
s = 2πrn + 2πr²
s = 2πr 128/r² + 2πr²
s = 256π/r + 2πr²
ds/dt = - 256π/r² + 2πr
d²s/dt² = -256/(-2) r³ + 2π
d²s/dt² = 128/r³ + 2π
for maxima or minima
ds/dt = 0
- 256 π/r² + 2πr = 0
256 = 2r³
r = ∛128
d²s/dt² = 128/(∛128)³ + 2π
= 2π + 1
d²s/dt² > 0
so surface area is minimum
a + r = ∛128
n = 128(∛128)²
n = ∛128
r = ∛128 , n= ∛128
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what is the notation used for a vector pointing into the page? what about a vector pointing out of the page?
The notation used for a vector pointing into the point is X.
A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.
Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.
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identify the error in the diagram below. what's wrong with it. 70pts
The triangle does not exist, as the property, the sum of two sides of a triangle is greater than the third side length of the triangle does not hold true.
Describe the triangle.Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric forms is represented by the symbol △ and consists of three connected vertices. Triangles may be categorized into a number of different varieties according to their sides and angles.
It is a triangle's property that the sum of any two sides of a triangle is greater than the third side.
Here sides given are 3 m, 5 m, 9 m.
Let us add the sides length 3 m and 5 m
3 m + 5 m = 8 m
Compare this with the third-side length of the triangle
8 m < 9 m
So, the property does not hold true.
So, the triangle does not exist.
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Solve the following exponential equation
[tex]3 {}^{2x } - 9 = 0[/tex]
Answer:
x = 1
Step-by-step explanation:
Given exponential equation:
[tex]3^{2x}-9=0[/tex]
Add 9 to both sides of the equation:
[tex]\implies 3^{2x}-9+9=0+9[/tex]
[tex]\implies 3^{2x}=9[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies \left(3^2\right)^{x}=9[/tex]
[tex]\implies9^{x}=9[/tex]
[tex]\textsf{Apply exponent rule} \quad a=a^1:[/tex]
[tex]\implies9^{x}=9^1[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies x=1[/tex]
Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food. How many cans of food does Bridgette give to each dog?
Bridgette gives 1/10 cans of food to each dog.
According to the question,
We have the following information:
Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food.
Now, we have the following expression:
9 dogs = 9/10 can
Now, we can easily find the cans given to each dog using division. We will divide the total number of cans of food by the number of dogs.
1 dog = 9/(10*9) cans
1 dog = 1/10 cans of food
Hence, Bridgette gives 1/10 cans of food to each dog.
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A small publishing company is planning to publish a new book. Let C be the total os of publishing the book(in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that c=20N+500 gives C as function of N during the first printing.
The set of vale is the same for both.
The cost of publishing the 300 copies of the book is $6500.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a small publishing company is planning to publish a new book. Let C be the total os of publishing the book(in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that c=20N+500 gives C as a function of N during the first printing.
The cost of 300 copies will be calculated as,
c=20N+500
c = ( 20 x 300 ) + 500
c = 6000 + 500
c = 6500
Therefore, the cost of publishing the 300 copies of the book is $6500.
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Which equation is parallel to x-y=3 passes through (2,-4)
The equation of the line parallel to x - y = 3 and passes through pint (2,-4) is y = x - 6.
What is the equation of line that passes through the given point and parallel to the given equation?The equation of line is expressed as;
y = mx + b
The point-slope formula is expressed as;
y - y₁ = m( x - x₁ )
Where m is slope and b is the y-intercept.
Given the data in the question;
Equation: x - y = 3Point: (2,-4)
x = 2y = -4First, reorder the given equation in slope-intercept form and determine the slope.
x - y = 3
x = 3 + y
3 + y = x
y = x - 3
Hence,
The slope m = 1
To find the line parallel to the equation, the slope must be equal.
Find the line using point-slope formula.
y - y₁ = m( x - x₁ )
Plug in slope m = 1 and point: (2,-4)
y - ( -4 ) = (1)( x - 2 )
Simplify and convert to slope intercept form.
y + 4 = x - 2
y = x - 2 - 4
y = x - 6
Therefore, the equation of line is y = x - 6.
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when the auditors have chosen to test a control, what relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample?
Exceed relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample.
Define sample.An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. Using samples, one can draw conclusions about populations. Since samples are useful, affordable, practical, and manageable, it is simpler to gather data from them. A crucial component of the scientific method is sampling, which enables researchers to demonstrate the validity of generalizable ideas using only a sample of particular facts. Additionally, sampling enables mathematicians to answer challenging paradoxes like the St.
Given,
Exceed relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample.
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3. Elon is paid by the hour. He earned $50 for a 4 hour workday. How much
does he earn in one hour?
3b. How much does he earn for half an hour?
3c. How much does he earn in 5 hours?
The corporate team-building event will cost $1,376 if it has 86 attendees. If there are 94 attendees, how much will the corporate team-building event cost?
According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.
The probability of the selected household will own a dog or a cat can't be determined because there is not enough information to determine the probability
How to calculate probility?Probability is counted by dividing the event number with the total number of outcomes. In this case, the probability of the selected household will own a dog or a cat will have a formula like this:
P(A ∨ B)=P(A)+P(B)+P(A ∧ B)
Annotation:
P(A ∨ B) = probability own a dog or a cat
P(A) = probability own a dog
P(B) = probability own a cat
P(A ∧ B) = probability own a dog and a cat.
Based on question, we cant find value of the probability own a dog and a cat. Therefore, the best answer for this question there is not enough information to determine the probability
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Which units are used to measure both velocity and speed? Select three options.
m/s
d/t
km/h
mph
m2
Answer:
M/s, km/h, and mph
Step-by-step explanation:
M/s = meters (travelled) per second
km/h = kilometers (travelled) per hour
mph= miles (travelled) per hour
Answer:
m/s
km/h
mph
Step-by-step explanation:
: )
Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
T=
U=
V=
W=
The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
T'(-8, -4) , U'(-8, -6) , V'(-3, -9) , W'(-3, -7)
When a point P(x, y) is rotated 270° counterclockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point P(x, y) after a rotation 270° counterclockwise around the origin is:
P(x, y) → P'(y, -x)
From the Graph,
In our case, we have the points
T = (4, -8)
U = (6, -8)
V = (9, -3)
W = (7, -3)
Thus, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
P(x, y) → P'(y, -x)
T (4, -8) → T'(-8, -4)
U (6, -8) → U'(-8, -6)
V (9, -3) → V'(-3, -9)
W (7, -3) → W'(-3, -7)
Therefore, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
T'(-8, -4) , U'(-8, -6) , V'(-3, -9) , W'(-3, -7)
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Which point is collinear with points A and B?
As stated in the preceding statement the point R is collinear with points A and B.
What is a collinear?An axis is a term used to describe a line upon whatever points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points become trivially collinear.
How are collinear points discovered?Two lines may coincide if they have a same point and have the same slope. To put it another way, if A, B, as well as C are three points there in XY plane, they will all lie on a line, or three points will be collinear, but only if AB's slope and BC's slope are both equal.
then
m A B = m BC ( = m AC ).
The point is collinear with points A and B.
Therefore, the correct answer is option (d) R.
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a cylindrical can is partially filled with sand. the radius of the cylindrical can is 15 cm. the height of the cylindrical can is 14 cm. if the volume of the sand is increasing at a rate of 555 cubic cm per second, what is the rate, in cm per second, at which the height of the sand is changing when the height of the sand is 5 cm?
The height of the sand is changing when the height of the sand is 5 cm is 0.7848 in cm/sec
What is meant by volume?Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units (such as the cubic metre and litre) or various imperial units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly understood to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.
Volume was measured in ancient times using similar-shaped natural containers, and later, standardized containers. Arithmetic formulas can easily calculate the volume of some simple three-dimensional shapes. Volumes of more complicated shapes can be calculated using integral calculus if a formula is provided.
The volume of the cylindrical is,
V = πr²h
V = volume
r = base radius
h = height
Calculate the difference between both sides of the equation in relation to time t. Because the radius r does not change over time, we can consider it a constant:
dv/dt = πr²(dh/dt)
Given,
dv/dt =555 cubic cm per second
r = 15
solve dh/dt:
555 = π(15)²(dh/dt)
dh/dt = 555(7/22)(1/225)
dh/dt =0.7848
The height of the sand is decreasing at a rate of 0.7848 in cm/sec
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Suppose that y varies directly with x, and y=-4 when x=10. what is
y when x=2.
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}[/tex]
Find the range for the measure of the third side of a
triangle given the measures of two sides.
8, 13
By using properties of triangle, it can be inferred that
The value of c lies between 5 and 21 and also 5 and 21 are not included
What is a triangle?
A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles. The sum of the interior angles of a triangle is 180°
Let a = 8, b = 13 and let the third side be c
We know sum of two sides of a triangle is always greater than the third side
a < b + c
8 < 13 + c
c > 8 - 13
c > -5, which is obvious
b < c + a
13 < c + 8
c > 13 - 8
c > 5
c < a + b
c < 8 + 13
c < 21
5 < c < 21
The value of c lies between 5 and 21 and also 5 and 21 are not included
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Marlee is making jewelry for a class craft show. She began with 115 inches of wire. She used 25.75 inches for rings. Then her teacher gave her 3014 inches of wire to make more jewelry. She then used 3812 inches for the bracelets and 60.2 inches for necklaces. How much wire does Marlee have left? Write your answer as a mixed number in simplest form.
Marlee is in short of -768.95 inches of wire for making jewelry.
Given that, Marlee is making jewelry for a class craft show. She began with 115 inches of wire.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The numerical expression for the given situation is
115-25.75+3014-(3812+60.2)
= 89.25+3014-3872.2
= 3103.25-3872.2
= -768.95 inches
Therefore, Marlee is in short of -768.95 inches of wire for making jewelry.
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A shelter has enough food to feed an average of 45 hungry people a day for 20 days. If an average of 18 peo
The number of days that the food will last when an average of 18 people are at the shelter everyday is 50 days.
How to calculate the number of people?From the information given, the shelter has enough food to feed an average of 45 hungry people a day for 20 days.
Let the number of days that the people can be fed when 18 people come be Illustrated as x.
Therefore, this will be illustrated as x. This will be:
x = (45 × 20) / 18
x = 900 / 18
x = 50
The number of days is 15 days.
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Complete question
A shelter has enough food to feed an average of 45 hungry people a day for 20 days. If an average of 18 people are at the shelter everyday, how long will the food last?
PLEASE HELPPPP!!!
Simplify the imaginary number...
in a survey, 19 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $40.7 and standard deviation of $9.2. estimate how much a typical parent would spend on their child's birthday gift (use a 80% confidence level). give your answers to 3 decimal places.
The parent spend on their child’s birthday gift is by using 80% confidence level is (43.5, 37.9)
A sample mean is the result of a chance experiment. When we sample a random variable, we get one of its possible values. A sample is a specific value. The random variable's probability distribution determines the possible values and the likelihood of each.
Given that,
Point estimate = sample mean = X = 40.7
sample standard deviation = s = 9.2
sample size = n = 19
Degrees of freedom = df = n - 1 = 19 - 1 = 18
At 80% confidence level
α = 1 - 80%
α =1 - 0.80 =0.2
α/2 = 0.1
t α/2,df = t0.1,18 = 1.330
The margin of error = E = t /2, df x (s/√n)
= 1.330 x (9.2/√19)
= 1.330 x 2.110
= 2.8
Margin of error = E = 2.8
The 80% confidence interval estimate of the population mean is,
X ± E
= 40.7 ± 2.8
= (43.5, 37.9)
Therefore The parent spend on their child’s birthday gift is by using 80% confidence level is (43.5, 37.9)
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each of ncustomers gives a hat to a hat-check person at a restaurant. the hat-check person gives the hats back to the customers in a random order. what is the expected number of customers that get back their own hat? derive your answer by using random variables and expected values of random variables.
The expected number of customers that get back their own hat is 1.
Define the term random variables?A random variable is called with an unspecified amount or a function that gives values to each of the results of an experiment. There are two types of random variables: discrete (having specified values) and continuous (value in a continuous range).Utilizing indicator random variables, we resolve this issue. For 1 ≤ i ≤ n,
Let .
Xi = I {Customer 'i' who gets his hat back itself}.
The number of clients that receive their own hats back should be the random variable X. We want to figure out E[X].
Clearly,
n
X = ∑ Xi
i=1
It is clear that 1/n represents the likelihood that customer 'I' will receive his own hat.
Due to the fundamental characteristics of indicator random variables, this means that E[Xi] = 1/n.
n
E[X] = E [ ∑ Xi ]
i=1
n
= ∑ 1/n
i=1
Put the limits.
E[X] = 1
As a result, 1 consumer is anticipated to have their own hats back.
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I need help with this question ASAP
Answer:
X = 14
Hope this helps!
Step-by-step explanation:
The small red square means the angle is 90°.
( 2x + 22 ) + ( 3x - 2 ) = 90°
2x + 22 + 3x - 2 = 90
( 2x + 3x ) + ( 22 - 2 ) = 90
5x + 20 = 90
5x + 20 - 20 = 90 - 20
5x = 70
x = 14
Answer: x = 14
Step-by-step explanation:
When you have a right angle, they add up to 90 degrees
So you add up the two angles that you have that equal a total of 90 degrees
2x+22 + 3x-2 = 90
5x+20 = 90
5x = 70
x = 14
I hope this helps :D