The study revealed that 87% of movie customers spend an average of $6.39 or less on concessions.
To calculate the spending amount that corresponds to the top 87th percentile, we must first calculate the z-score. To do this, subtract the mean of $4.11 from the desired percentile of $6.39, resulting in a difference of $2.28. Next, divide the difference of $2.28 by the standard deviation of $1.37, resulting in a z-score of 1.67. Finally, use a z-score table to find the corresponding percentile of 87%. This means that 87% of movie customers spend an average of $6.39 or less on concessions.
z-score = (6.39 - 4.11) / 1.37 = 1.67
percentile = 87%
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Some high school students conducted an experiment as part of their school project to understand the relationship between the height a parasail can attain and the speed of the motorboat that tows it. The data table lists their observation about the height of the parasail at different speeds. Which equation represents the height of the parasail (y) based on the speed of the motorboat (x)?.
Equation that represents the height of parasail (y) based on the speed of the motorboat (x) is given by y sinβ = Xt
What is parasail?
A kind of sports game where a person climbs in a parachute and the parachute is tied to a moving motorboat.
What is the relationship between height of parasail and speed of a motorboats?Generally, parasail is tied with a motorboat by a special chord. The position of chord of parasail is not properly perpendicular to the direction of boat moving on. There is an angle between the chord and horizontal surface of motorboat.
Let the angle is denoted by β
The vertical height of parasail over the boat=h
the length of chord that means distance from boat to the parasail = y
speed of boat = X
As per trigonometric formula, opposite/ hypotenuse = sinβ
sinβ = h/y
hence, height of parasail over the boat surface, h= y sin β
Now, from the height, speed and time equation
height = speed × time
at time t, the height of parasail ysinβ which attached to a boat of speed X can be represent by the equation.
y sinβ = Xt
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a high school student applies to seven colleges, each of which makes an admission decision by rolling a fair six-sided die and admitting the student if a 1 is rolled. what is the expected number of colleges to which the student is admitted?
The expected number of colleges to which the student is admitted .2344
What is permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Write examples of permutation in real life.Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colours. Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.
Let X= college to which student is admitted
We are given with n=7 and p=1/6
P(X=2)=⁷P₂[tex]\frac{1}{6^{2} }(1-\frac{1}{6}) ^{7-2}[/tex]
=.2344
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HELP PLS!!These tables of values represent continuous functions. In which table do the
values represent an exponential function?
OA.Y
18
2 16
3 24
4 32
5 40
OB.y
14
28
3 16
4 32
5 64
OC.xy
1 12
2 17
3 22
4 27
5 32
OD.xy
19
2 10
3 11
4 12
5 13
The answer is A
It's multiples by 8 each time
Lucy wants to but a new car but needs money for the down payment. Her parents agree to lend her money at an annual rate of 5%, charged as simple interest. They lend her $4000 for 2 years. She makes no payments except the one at the end of that time.
Answer the following questions:
How much total interest will Lucy have to pay?
What will the total repayment amount be (including interest)
Answer:
To calculate the total interest that Lucy will have to pay, we need to use the formula for simple interest: I = P * R * T, where I is the interest, P is the principal (the amount borrowed), R is the interest rate (as a decimal), and T is the time in years. Using this formula, we can calculate the total interest that Lucy will have to pay as follows:
I = P * R * T
I = $4000 * 0.05 * 2
I = $400
Therefore, the total interest that Lucy will have to pay is $400.
________________________________________________________
To calculate the total repayment amount (including interest), we need to add the total interest to the original amount borrowed, which in this case is $4000. Therefore, the total repayment amount will be $4000 + $400 = $4400. This is the amount that Lucy will have to pay back to her parents at the end of the two-year period.
Step-by-step explanation:
Answer:
Total interest = $400
Total repayment (including interest) = $4,400
Step-by-step explanation:
Simple Interest Formula
[tex]\large\boxed{ \sf I = Prt}[/tex]
where:
I = Total interest.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).Given:
P = $4,000r = 5% = 0.05t = 2 yearsTo find the total interest, substitute the given values into the formula and solve for I:
[tex]\implies \sf I=4000 \cdot 0.05 \cdot 2[/tex]
[tex]\implies \sf I=200 \cdot 2[/tex]
[tex]\implies \sf I=400[/tex]
Therefore, the total interest Lucy has to pay is $400.
The total repayment amount is the sum of the principal and the interest:
[tex]\implies \sf A=P+I[/tex]
[tex]\implies \sf A=4000 +400[/tex]
[tex]\implies \sf A=4400[/tex]
Therefore, the total repayment (including interest) is $4,400.
what is the drag force on a 1.6 m wide, 1.4 m high car traveling at 10 m/s (≈ 22 mph)?
141.472 N of drag force is applied in 1.6m wide and 1.4m high car travelling at 10m/s
What is drag force?Drag force is the net force in the direction of flow experienced by any item moving through a fluid and is caused by pressure and shear stress forces acting on the surface of the object.
Formula of drag force is given by:
[tex]F_d = \frac{1}{2}C_dAPv^2[/tex]
where
[tex]F_d[/tex] = drag force (N)
[tex]C_d[/tex] = drag coefficient (1.05 for moving car)
P = density of fluid (1.2 kg/m3 for air at NTP)
v = flow velocity (m/s)
A = characteristic frontal area of the body
A = height * width
=> 1.6*1.4
so A=2.24 [tex]m^2[/tex]
and v=10 m/s
so [tex]F_d[/tex] = 1/2* 1.05 * 2.24 *( 1.2 *10*10)
=> 0.5*1.05*2.24 *122
=> 143.472 N
so [tex]F_d[/tex] = 143.472 N
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Please help me! I will give you 10 points for this one! :D
Answer:
Below
Step-by-step explanation:
The change rate at the top of the mt is given as - 2.5 ° / hr
at the base it is 1/5th of this number
1/5 * -2.5 = - 0.5 °C per hour
The question is "What does the y-intercept of the line of best fit tell you about the situation below?"
Answer:
D
Step-by-step explanation:
y-intercept is when the line hits the y-axis, or when the x=0 on a line.
Look at the test below the axis.
y-axis = heartrate (resting)
for
x-axis = hrs of exercise per week
When x = 0, (0 hours of exercise,) y = 80, (average resting heart rate.)Telling us the average resting heartrate pf people who do not exercise.
A recipe for 4 people uses 250 g of flour. How much flour is needed to
make the same recipe for 8 people? Give your answer in grams (g).
Answer:
500 grams
Step-by-step explanation:
you doubled the people, so you would need to double the flour.
The intruction on a box of chicken pattie tate that one patty hould be cooked for 3. 5 minute in the microwave. If more than one patty i cooked, an additional 1 minute hould be added per patty. Write an equation in lope-intercept form to model the cooking time in minute, y, for x additional pattie
The equation in slope-intercept form to model the cooking time in minutes, y, for x patties is y = (3/2)x + 1.
What are lines and their slopes?
We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, On a box of chicken patties state that one patty should be cooked for 2.5 minutes in the microwave.
If more than one patty is cooked, an additional 1.5 minutes should be added per patty.
So, The equation in slope-intercept form to model the cooking time in
minutes, y, for x patties.
If we write this as y = 1.5x + 2.5 and put x = 0 , y = 2.5 which is not satisfying the given statement.
∴ y = 1.5x + (2.5 - 1.5). (the additional patty cooking time).
y = 1.5x + 1.
y = (3/2)x + 1.
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I want to know how to work out this question (question 20)
The value of c that satisfies the Mean Value Theorem for this problem are given as follows:
A. [tex]4\sqrt{3}[/tex]
How to obtain the value or values of c?The function for this problem is given as follows:
f(x) = x + 48/x.
The bounds of the interval are given as follows:
a = 3, b = 16.
The derivative of the function is given as follows:
f'(x) = 1 - 48/x².
The numeric value of the derivative at x = c is given as follows:
f'(c) = 1 - 48/c²
The numeric values of the functions at the bounds are given as follows:
f(b) = f(16) = 16 + 48/16 = 19.f(a) = f(3) = 3 + 48/3 = 19.Then the value of c is obtained as follows:
1 - 48/c² = 0/16
1 - 48/c² = 0
48/c² = 1
c² = 48
c = square root of 48.
[tex]c = \sqrt{16 \times 3}[/tex]
c = [tex]4\sqrt{3}[/tex]
Option A, as we have to be reminded that the interval is [3,16], hence the negative root is not considered.
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y² + 7y-8
Please answer this and show work
The factorization of y²+7y-8 is (y+8)(y-1).
y²+7y-8
=y²+8y-y-8
=y(y+8)-1.(y+8)
=(y+8)(y-1)
The factors are (y+8), (y-1).
The method we are following here is factorize by grouping.
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The correct question is-
Factor y²+7y-8.
You are going send Christmas cards to 100 of your friends. Each box of
Christmas cards contains 15 cards and the cost per box is $17.00. You are going to purchase enough Forever
stamps from the post office to mail 100 cards. How much will it cost in total?
Answer:
You are going send Christmas cards to 100 of your friends. Each box of Christmas cards contains 15 cards and the cost per box is $17.00. You are going to purchase enough Forever stamps from the post office to mail 100 cards. How much will it cost in total?
1box - 15 card - $17
100/15 = 6.67 (round off to 7 box since u cant buy 6.67 box)
7 * $17 = $119
Therefore, you will spend $119 to buy 7 box with a total of 105 cards.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-After solving this problem, Juan was very clever and invented the following strange question:
A building, in the shape of a rectangular prism with a square base, has on its top a radio tower. The
building is 25 times as tall as the tower, and the side-length of the base of the building is 100 feet less than
the height of the building. If the building has a volume of 2 million cubic feet, how tall is the tower?
The tower is 24 feet tall.
To solve this problem, we need to use the formula for the volume of a rectangular prism, which is V = l × w × h, where l and w are the length and width of the base and h is the height.
We are given that the side length of the base of the building is 100 feet less than the height of the building, so the height of the building is h = l + 100, where l is the side length of the base. We can substitute this expression for h into the formula for the volume of the building:
V = l × w × (l + 100) = 2 million cubic feet
Since the building is 25 times as tall as the tower, the height of the tower is h = (1/25) × h = (1/25) × (l + 100). Substituting this expression for h into the formula for the volume of the building, we get:
V = l × w × (1/25) × (l + 100) = 2 million cubic feet
Solving this equation for l, we find that l = 500 feet. This is the side length of the base of the building, so the height of the building is h = l + 100 = 500 + 100 = 600 feet. The tower is (1/25) × 600 = 24 feet tall.
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Please help me!
I need to deliver it tomorrow.
i'm kind of sure it's -4.7
8 17 26 Find the 41st term.
Answer:
368
Step-by-step explanation:
You want the 41st term of the arithmetic sequence that starts 8, 17, 26.
Arithmetic sequenceThe n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
for first term a1 and common difference d.
DifferenceThe difference between terms is ...
d = 17 -8 = 9
41st termThe first term is a1 = 8, so the 41st term is ...
a41 = a1 +d(41 -1) = 8 +9(41 -1) = 368
The 41st term of the sequence is 368.
<95141404393>
10. jackson has 4 more cds than amal. they have a total of 18 cds. how many cds does amal have? how many cds does jackson have?
Amal has seven CDs, whereas the Jacksons have eleven, with the Jacksons owning four more than Amal. They have a total of 18 CDs.
Given that,
4 more CDs belong to Jackson than Amal. They have 18 CDs altogether.
We have to find what number of CDs does Amal own and Jackson has how many CDs.
We know that,
Let amount of CD Jackson have x.
Let Amal have CD has y.
So,
x=y+4
x-y=4 ----->equation(1)
x+y=18 ------>equation(2)
So, now we have to solve the equations.
Adding equation(1) and equation(2)
x-y=4
x+y=18
-----------
2x=22
x=22/2
x=11
So, substitute x=11 in equation(1)
11-y=4
-y=4-11
-y=-7
y=7
Therefore, Amal have 7 cd and the Jackson have 11 cd when 4 more CDs belong to Jackson than Amal. They have total 18 CDs altogether.
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#2 Dr. Mandel purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license
plates, and $40 for a state safety and emissions inspection. How much does she need to pay for
these extra charges, not including the price of the car?
Your query has an answer of Extras charges = $999.
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
What is the formula's percentage?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
Detailed explanation:
Data
Total cost: $11.325
8% state tax
$53 for license plates
$40 for an emissions inspection.
Process
1.- Determine the 8% of the car's cost.
11325 ———————— 100%
x ———————- 8%
x = (8 x 11325)/100
x = 90600/100
x = $1,066.16 in state taxes
2. Determine the entire cost.
Charges total $906 plus $53 plus $40.
= $ 999
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y is directly proportional to x².
Given that y = 87.5 when x = 5, work out the value of y when x = 6.
If your answer is a decimal, then round it to 1 d.p.
Answer:
y = 126
Step-by-step explanation:
Find the area of the regular polygon.
Round to the nearest tenth.
[ ? ] yd?
Answer:
98 yd²
Step-by-step explanation:
diagonal = 7 · 2 = 14 yd
side = x² + x² = 14²
2x² = 196
x² = 196/2
x² = 98
x = √98
area = √98² = 98 yd²
Solve for X.
A. 5 degree
B. 7 degree
C. 6 degree
D. 4 degree
Help!!!
Answer:
x = 4°
Step-by-step explanation:
The box in the top right angle of the diagram lets us know that all of these angles equal 90° !
To find x, we just need to do simple algebra and use the info above.
21x + 6 = 90 °
21x = 90 - 6
21x = 84
x = 84 / 21
x = 4°
The average age of ceo's is 56 years. Assume the random variable is normally distributed. If the standard deviation is 4 years, find the probability that the age of a ceo is between 50 and 56 years old.
There is a probability of 33.45% that the age of randomly selected CEO will be between 50 and 55 years old.
What does the math term "probability" mean?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics is the study of events that follow a probability distribution.
Given that:
Mean = 56, standard deviation = 4, For 50:
z = (50 - 56) / 4 = -1.5
For 44:
z = (55 - 56) / 4 = -0.25
P(50 < x < 55) = P(z < -0.25) - P(z < -1.5) = 0.4013 - 0.0668 = 33.45
There is a probability of 33.45% that the age of randomly selected CEO will be between 50 and 55 years old.
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Forum - Radicals (Moderated)
View Full Description
Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each?
I would prefer leaving the answer as a radical number as √5 since it is a shorter form and exact form of the answer.
How to express radical numbers?My reasons for leaving it as a radical form or a decimal approximation are;
1) If we are trying to find an exact answer, then we should leave it as √5. For example, if we are told a square has an area of 5 square units, then it means that the exact length of the side is √5 units.
2) If √5 is the length of an object that has to be made to that specific length, then we would require an approximation. For example, if you are asked to make a square out of cardboard whose area is 5 square feet, then we will definitely need an approximation of √5 ft = 2.24 ft, which would help us make each side of the cardboard square in the length of 2.24 ft.
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6x-3y= -21
4x=3y-9
Help
Answer:
The answer is x = -6 and y = -5.
Step-by-step explanation:
To solve this problem, we can use substitution. Let's first solve one of the equations in terms of the variable y, and then substitute this value into the other equation.
4x = 3y - 9
3y = 4x + 9
Since the term "3y" is present in the other equation given, we can substitute the right side of this equation (4x + 9) into the other equation for 3y. This is shown below.
6x - 3y = -21
6x - (4x + 9) = -21
6x - 4x - 9 = -21
We can simplify the left side of the equation and solve for x.
2x - 9 = -21
2x = -12
x = -6
Now, we can substitute this value for x into one of our equations to solve for y.
4x = 3y - 9
4(-6) = 3y - 9
-24 = 3y - 9
-15 = 3y
y = -5
Therefore, the correct answer is x = -6 and y = -5.
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Simplify the expression.
14+(-4)-6/7j-3/7j+7
[tex]17 - \frac{9}{7} j[/tex]
[tex]14 - 4 - \frac{6}{7} j - \frac{3}{7} j[/tex]
[tex]17 - \frac{6}{7} - \frac{3}{7}j [/tex]
[tex]17 - \frac{9}{7} j[/tex]
help me asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]1. = \frac{18}{12} [/tex]
[tex]2. = \frac{39}{30} [/tex]
[tex]3. = \frac{5}{15} [/tex]
[tex]4. = \frac{18}{14} [/tex]
[tex]5. = \frac{13}{20} [/tex]
Please help me answer this is question
Answer:
no. Only Lin is right.
Step-by-step explanation:
As you can see, 2.5 and d are multiplied with each other. To get rid of the 2.5, though, you’d have to do the inverse operation, which is division.
What is the multiplicative rate of change of the exponential function represented in the table? 1. 5 2. 25 3. 0 4. 5.
The multiplicative rate of change of the exponential function is 1.5
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The general form of the geometric sequence is an=a1r(n−1),
where r is the common ratio
a1 is the first term
n is the placement of the term
Now, use the geometric sequence formula to solve for the rate:
an=a1r^(n-1)
6.75=4.5r^(2-1)
6.75=4.5r
6.75/4.5=r
r= 1.5
and if you want to make sure just multiply each number by 1.5 and see if it gets you the next number
4.5 4.5×1.5=6.75 (holds true)
6.75 6.75×1.5=10.125 (holds true)
10.125 10.125×1.5=15.1875 (holds true)
15.1875
1.5 is the multiplicative rate.
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Which represents the reflection of f(x) = startroot x endroot over the x-axis? a 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2. A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries 1, 0, undefined, undefined.
The correct option is A: A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
Explain the reflection along the x-axis?In order to reflect over the X axis, one must negate that value of each point's y-coordinate while maintaining its x-value.The x-coordinate remains constant when a point is reflected across the x-axis, however the y-coordinate is assumed to be an additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).The given function is;
f(x) = StartRoot x EndRoot , which is written as;
f(x) = √x
Domain for the x = [ 0 , ∞ )
x f(x)
-1 undefined
0 0
1 1
4 2
The reflection over x-axis.
f(x) ----> - f(x)
x f(x)
-1 undefined
0 0
1 -1
4 -2
Thus, the correct option is; A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
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The complete question is-
Which represents the reflection of f(x) = StartRoot x EndRoot over the x-axis?
A: A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
B: A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries 1, 0, undefined, undefined.
C: On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).
D: On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the right through (2, negative 4).
Answer:
D
Step-by-step explanation:
Edge 2023
what is the coefficient of determination; how do you interpret this number? make a comment on the strength of the regression relationship
The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).
It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.
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the degrees of freedom for a chi-square test of independence for the following data is 5. group of answer choices true false
The number of independent pieces of information used to calculate a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. I
What is the degree of freedom?Itbis determined by subtracting the number of restrictions from the sample size. Subtract the number of relations from the number of observations to determine degrees of freedom. You need to deduct one (1) from the total number of observations, n, in order to calculate the degrees of freedom for a sample mean or average.
The degrees of freedom for the chi-square are calculated as df = (r-1)(c-1) where
r = the number of rows
c = the number of columns.
If the observed chi-square test statistic is greater than the critical value, the null hypothesis can be rejected.
Note that an overview was given as the information you gave is incomplete.
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