the manager at a local movie theater has collected data for a long period of time and has concluded that the revenue from concession sales during the first show each evening is normally distributed with a mean equal to $336.25 and a variance equal to 1,456. based on this information, what are the chances that the revenue on the first show will exceed $800?
Answers
The chances that the revenue on the first show will exceed $800 when mean revenue is $336.25 and standard deviation is $38.16 is essentially zero. i.e. 0
A normal distribution is a type of continuous probability distribution in which the majority of data points cluster in the middle of the range, while the remainder taper off symmetrically toward either extreme. The mean of the distribution is also known as the middle of the range.
The normal distribution is primarily used to calculate the likelihood of an observation in a distribution falling above or below a given value.
Given,
Mean, \(\mu\) = 336.25
variance, \(\sigma^2\)= 1456
then,
standard deviation, \(\sigma = \sqrt{1456}\) = 38.16
To determine the chances that the revenue on the first show will exceed 800 is1:
\(1-p(z=\frac{x-\mu}{\sigma})\\\\=1-p(z=\frac{800-336.25}{38.16})\\\\=1-p(z=\frac{436.75}{38.16})\\\\=1-p(z=12.15)\\\\=1-1=0\)
Hence, there is no chance that the revenue will exceed $800 on the first show.
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Related Questions
the team is going to a race and can only enter 5 participants. what is the probability of randomly selecting a race squad of 5 participants with exactly 3 women? round your answer to three decimal places. enter your solution into variable
Answers
The probability that the squad will have exactly three women members is 0.389
Total number of people in CU Boulder triathlon = 21
Number of Men = 9
Number of Women = 12
We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.
Thus;
P(exactly 3 womens) = (12C3 * 9C2)/(21C5)
P(exactly 3 womens) =7920/1716
P(exactly 3 womens) = 0.389
Hence, the probability that the squad will have exactly three women members is 0.389
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A store purchases homemade cookies for $1.00 each.
The percent markup is 15%. How much do they sell each cookie for?
Answers
Answer:
$1.15
Step-by-step explanation:
1*15=15
15/100=.15
1+.15=1.15
CAN SOMEONE HELP ME PLEASEEEEE
Answers
Answer:
145°
Step-by-step explanation:
because opposite angles r equal
A family wants to rent a car to go on vacation . company a charges 65.50 and 16¢ per mile . Company b charges 50.50 and 9¢ per mile . how much more company a charge for x miles than company b
Answers
The area A(x) of a square tile is a function of the length x of a side of the square. Write a function rule for the area of a square tile. Find and interpret A(8). A(x)=
Answers
The area A(x) of a square tile is given by the formula A(x) = x^2, where x represents the length of a side of the square.
This function rule tells us that the area of a square tile is equal to the square of its side length.
To find A(8), we simply substitute x = 8 into the function rule. A(8) = 8^2 = 64. This means that the area of a square tile with a side length of 8 units is 64 square units. In interpretation, A(8) means that if we have a square tile with a side length of 8 units, its area would be 64 square units.
This information could be useful, for example, if we need to calculate the number of tiles needed to cover a given area. We can simply divide the total area by the area of one tile (in this case, 64) to get the number of tiles needed.
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A farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental corn in Field B. At
harvest time, more ears of corn had grown in Field A than in Field B. The farmer concluded that more corn grew in Field A because of the type
of corn planted.
Choose two other possible variables that could have caused more corn to grow in Field A.
A. the type of soil in the field
B. the cost per ear of the corn
C. the flavor of each type of com
D. the amount of sunlight in each field
E the amount of corn planted in each field
Answers
Answer:
A-D
Step-by-step explanation:
How do you answer this
Answers
Answer: 50
Step-by-Step Explanation:
To divide a non decimal number by a decimal number, we have to look at the number of places after the decimal point, in the denominator. Then we have to multiply the numerator and denominator (because if we multiply denominator with a number, we have to do the same on the numerator as well) with 10^the number of decimal places.
Here, we have 4/0.08 which has 2 decimal places. Hence we have to multiply the numerator and denominator with 10^2 which is 100.
Therefore,
= (4 * 100)/(0.08 * 100)
= 400/8
=> 50
Hence, 4/0.08 = 50
I need help with this!
Will give brainliest, thank you :)
Answers
Answer:
y=x-3
Step-by-step explanation:
The slope is just x, and the y intercept will be one over from (1,-2) which is (0,-3), so -3 is the starting point.
I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?
Answers
Answer:
your numnber is 15
Step-by-step explanation:
3x-3=n
nx=90
nx=90
(3x-3)x=90
3x^2-3x=90
x=6
3x-3=n
3(6)-3=n
18-3=n
15=n
Factor:
125x^3-27
A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)
Answers
Answer:
D) (5x - 3) (25x^2+ 15x + 9)
Step-by-step explanation:
\(125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}\)
what is the value of x in the figure below
Answers
Answer:
24
Step-by-step explanation:2x+42= 90
2x=90-42
2x=48
x=24
Step-by-step explanation:
2x°+42°=90°
2x+42°-42°=90°-42°
2x/2=48°/2
x=24°
But Iam not sure I just try
Two numbers have these properties Both numbers are greater than 8 The HCF is 8 The LCM is 80 Find the two numbers
Answers
Answer:
10 and 64.
16 and 40
Step-by-step explanation:
The product of the two numbers is equal to the product of LCM and HCF
Number 1* Number 2= LCM * HCF
Number 1* Number 2= 8*80
Number 1* Number 2= 640
Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64
so the two numbers will be 10 and 64.
Similalrly the two numbers can also be 16 and 40 and like wise.
Any number greater than 8 dividing 640 will give the second number also.
Name
Period
Practice
Example 1
FINANCE Caldonia deposits $150 into an account that pays 7.3% annual interest compo
quarterly.
1.
GO Practice S
a. Write an equation to represent Caldonia's account balance after t years.
b. Write and use a system of equations to determine how many years it will take for the
account reach $200. Round to the nearest year.
Answers
It takes for the account to reach $200 is 4 years.
What is Compound Interest?Compound Interest is the interest calculated on the cumulative amount, rather than being calculated on the principal amount only quantity.
Given that aldonia deposits $150 into an account that pays 7.3% annual interest compounded quarterly.
\(A = P(1 +\frac{r}{n})^n^t\)
where:
A = the total account balance after t years
P = the initial deposit $150
r = the annual interest rate =0.073
n = the number of compounding periods per year, which is 4 (quarterly) in this case
t = the number of years the money is in the account
Now let us substitute the values
\(A = 150(1 + \frac{0.073}{4} )^4^t\) is the equation to represent Caldonia's account balance after t years.
Now let us determine the number of years it will take for the account to reach $200.
\(200 = 150(1 + \frac{0.073}{4} )^4^t\)
200=150(1+0.01825)^4t
\(1.333=1.018^4^t\)
Take log on both sides
log1.333=4tlog(1.018)
0.1248=4t 0.0077
0.1248=0.0309t
Divide both sides by 0.0309
t=4.038
Hence, it takes 4 years to reach account balance of $200
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A4. Solve the system of equations for the unknowns (x, y, z), written in matrix form as 2 6190-0 2 3 2a -2 -2 a = 2 3 leaving your answer in terms of the free parameter a. (5 marks)
Answers
The solution to the system of equations, written in matrix form, involves the values of x, y, and z in terms of the free parameter 'a'.
The given system of equations can be represented in matrix form as:
Copy code
[ 2 6 1 ] [ x ] [ 9 ]
[ 0 2 3 ] [ y ] = [ 2 ]
[ -2 -2 a ] [ z ] [ a ]
To solve this system, we can use Gaussian elimination or row reduction to bring the augmented matrix to row-echelon form. However, it is important to note that the solution will be in terms of the free parameter 'a'.
Performing the row operations, we can transform the augmented matrix as follows:
R2 = R2 - (3/2) * R1
R3 = R3 + R1
Copy code
[ 2 6 1 ] [ x ] [ 9 ]
[ 0 -7 3/2 ] [ y ] = [ -7/2 ]
[ 0 4a a+1 ] [ z ] [ 9+a ]
Next, we can simplify the second row by multiplying it by -2/7:
R2 = (-2/7) * R2
css
Copy code
[ 2 6 1 ] [ x ] [ 9 ]
[ 0 1 -3/7 ] [ y ] = [ 1 ]
[ 0 4a a+1 ] [ z ] [ 9+a ]
Finally, we can simplify the third row by subtracting 4a times the second row from it:
R3 = R3 - 4a * R2
css
Copy code
[ 2 6 1 ] [ x ] [ 9 ]
[ 0 1 -3/7 ] [ y ] = [ 1 ]
[ 0 0 (a+1)+12a/7 ] [ z ] [ 9+a - 4a/7 ]
Now, we have a simplified form of the augmented matrix. We can express the solutions in terms of the free parameter 'a':
x = 9
y = 1
z = (9+a - 4a/7) / ((a+1)+12a/7)
In summary, the solution to the system of equations, written in matrix form, involves the values of x, y, and z in terms of the free parameter 'a'. The parameter 'a' allows for multiple solutions and represents the degree of freedom in the system.
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i need help plss its hard for me pls help and show the WORK plsss
Answers
4) Justin had 32 coins in nickels and quarters. He had 8 more quarters than nickels. How many of
each type of coin did he have?
Answers
n + (q + 8) = 32
12 + (20 + 8) = 32
Cost
Cost for Mowed Lawns
$50
$40
$30
$22
$10
0
2
4 6 8 10
Lawns Mowed
About how much for 1 lawn mowed?
$15.00
$5.00
$10.00
Answers
Answer is $20.00
The cost for mowing lawns is typically based on the size of the lawn.
The costs listed above are for lawns of different sizes.
To determine the cost for one lawn mowed, you would need to know the size of the lawn.
If you are unsure, you could contact a local lawn mowing service and ask for a quote for mowing a lawn of a certain size.
The cost for one lawn mowed depends on the specific services that are being requested.
Generally,
The cost for mowing a lawn ranges from $10 to $50, depending on the size of the lawn and the complexity of the job.
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$500 earn $30 interest in 5 years. Find the interest rate.
please show your steps!
Answers
I=p•i•t
i=I/p•t
i=30/500•5
i=0.012=1.2% per year
Can any on help on 4-6 only please it would be grateful
Answers
Answer:
4. h=9in
5. 150.8\(m^{2}\)
6. 301.6\(in^{2}\)
Step-by-step explanation:
4.
Surface area of a rectangular prism form : A=2(wl+hl+hw)
Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]
Multiply where applicable: 558=2[(99)+11h+9h]
Combine like terms: 558=2[(99)+20h]
Divide both sides by 2: 279=(99)+20h
*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*
Subtract to isolate the h: 180=20h
Divide both sides to isolate the h: 9=h
Now we see that the missing dimension h=9in
*note- I did not bold the equations with squares so please don't be confused by that*
5.
Surface area of a cylinder form: A=2πrh+2π\(r^{2}\)
Substitute in values from the question: A=2π(3)(5)+2π\(3^{2}\)
Multiply were applicable: A≈94.2+56.5
Add remaining values: A≈150.8
Now we see that the total surface area is 150.8\(m^{2}\)
*note- whenever we solve for volume or SA of a figure we square the unit (\(m\)➞\(m^{2}\))*
6.
Surface area of a cylinder form: A=2πrh+2π\(r^{2}\)
Substitute in values from the question: A=2π(6)(2)+2π\(6^{2}\)
*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*
Multiply were applicable: A≈75.2+226.2
Add remaining values: A≈301.6
Now we see that the total surface area is 301.6\(in^{2}\)
*note- whenever we solve for volume or SA of a figure we square the unit (\(in\)➞\(in^{2}\))*
Hope this helps :)
60 cookies in each package how many cookies in each package
Answers
you said 60 in each pack so 60 will be the answer
Factor out of the coefficent of the variables term
The expression 15/4+3/8xfactored is what?
Answers
Answer:
your answer is 33/8
Step-by-step explanation:
Answer:
fgehjenrntktkktmttbtbvtvt
the sum of two numbers is 45 and their difference is 5
Answers
the answer is 25 & 20.
Construct a counterexample by model for the following invalid argument, and then explain exactly how your counterexample proves that the argument is invalid.
¼ of the hairs in Plato’s beard are gray. ¾ of the hairs in Aristotle’s beard are gray. So, Aristotle has a greater number of gray hairs in his beard than Plato does.
Answers
The given argument is invalid. It says that if one person has more gray hair in their beard than another person, then they have a higher percentage of gray hair in their beard.
The argument is invalid because it is possible for one person to have a higher percentage of gray hair in their beard but a lower number of gray hairs in total.One possible counterexample by model is:Suppose Plato has 200 hairs in his beard and 50 of them are gray. So, 1/4 of his hairs are gray. Now, let's suppose Aristotle has 400 hairs in his beard, and 300 of them are gray. So, 3/4 of his hairs are gray. Even though Plato has fewer gray hairs than Aristotle, his percentage of gray hairs is more significant (1/4) than Aristotle's (3/4).
Therefore, the given argument is invalid since Aristotle's beard contains more gray hairs in quantity, but Plato has a higher percentage of gray hair in his beard.
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M is directly proportional to r cubed. When r=4, M=160.
A) Work out the value of M when r=2.
B) Work out the value of r when M=540.
Answers
Answer:
A. M= 20
B. r = 6
Step-by-step explanation:
M=kr³
where k is the constant
M= 160 , r 4
160= k(4)³
k = 160/4³= 2.5
A. when r= 2 , M= kr³
M= 2.5(2)³ = 20
B. when M= 540, find r
M= kr³
r³ = M/k
r³ = 540/2.5
r³= 216
r = 6
Uhhh... Someone help plz qwq ASAP
Answers
Answer:
x° = 58.5°
Step-by-step explanation:
90° + 31,5° + x° = 180°
121.5° + x° = 180°
x° = 180° - 121.5°
x° = 58.5°
Hope I helped you!
Answer:
31.5+90
180-a=
Step-by-step explanation:
\(31.5 + 90 + x = 180\)
\(x = 180 - 121.5\)
\(x = 58.5\)
A die is rolled one time, how many ways to not get 5 or even number?
Answers
Answer:
The answer is 2/6.
Have an AMAZING day!
A betty Crocker cookie recipe uses 1/3 cup of vegetable oil for 1 package of cookie mix use the table to show how much oil is needed for multiple packages
Answers
divide snd answer in simplest form: 5/3 divided by 3
Answers
Answer: 8
Step-by-step explanation: I think I am right !? Hope this helps!!
Find the y-intercept of the following equation. Simplify your answer.
y=3x+9
4
Answers
Answer:
If the equation is "y=3x+9", then the y-intercept would be 9, and the slope would be 3.
Step-by-step explanation:
Answer:
The slope is 3/4 and the y intercept is 9
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 3/4x +9
The slope is 3/4 and the y intercept is 9
Explain the parts of an angle
Answers
Answer:
line segments are the lines
rays are line segments that have one vertex
a vertex is the endpoint of a line(usually represented by a dot)
Step-by-step explanation: