Answer:
The advertisement should use 16 minutes.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.
This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]
What number of minutes should the advertisement use?
The values of x for which:
[tex]P(X > x) = 0.01[/tex]
So
[tex]e^{-\mu x} = 0.01[/tex]
[tex]e^{-0.2857x} = 0.01[/tex]
[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]
[tex]-0.2857x = \ln{0.01}[/tex]
[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]
[tex]x = 16.12[/tex]
Rounding to the nearest number, the advertisement should use 16 minutes.
A banner measures 5.4 feet long. How long does the banner measure in inches and yards?
Answer:
64.8 and 1.8
Step-by-step explanation:
The banner measure inches in yards are 64.8 and 1.8.
We have given that,
We have to determine the length does the banner measure in inches and yards.
What is the meaning of inches and yards?
An inch is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to 136 yard or 112 of a foot.
Therefore we get the banner measure inches in yards are 64.8 and 1.8.
To learn more about the length visit:
https://brainly.com/question/2217700
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someone please help me asnwer this!!
Answer:
5 units is the answer.
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(8-8)^2 + (9-4)^2}\\\\d=\sqrt{(0\\)^2+(5)^2} \\\\d=\sqrt{25} \\\\d=5 \\\\[/tex]
∴ d = 5 units
(ruu ule
(b) दिइएको समीकरणबाट झुकाव पत्ता लगाऊ ।
(Find the slope of the given equation): y-3 = 2x
Answer:
y-3 = 2x
2x-y+3=0 we have
slope
m =- coefficient of x/coefficient of y=-2/-3=2/3 is a slope..
Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start
Answer:
2:21 pm
Step-by-step explanation:
Finished 4:12
He spent 1 hour and 33
4:12 - 1 hour 33
minus the hour
3:12
minus 33
12-33
2:21pm
Marking as brainiest
Each student in a class recorded how many books they read during the
summer. Here is a box plot that summarizes their data. What is the Range
of the data?
. 8
10 1 18
number of books
Your answer
This is a required question
The answer to this question
The area of the shape below is
84 square centimeters.
a
10 cm
6 cm
12 cm
What is the length of a?
Answer:
Its D. 3cm
____________
Answer:
D=3
Step-by-step explanation:
Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.
Area of one rectangle is 12 × 6 = 72
Area of 2nd rectangle is 4 × a = 4a.
Since we know the total area of figure is 84
that means
72 + 4a = 84
4a = 84 - 72
4a = 12
a = 12 ÷ 4 = 3
a=3
Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable
Answer:
20
Step-by-step explanation:
fw3f2f3sf a
Why is 10^5/10^4 equal to 10^11? Explain or show your thinking
Answer:
It does not because if you solve the first equation you get 10 so it will not equal to 10^11
Step-by-step explanation:
(-6, -7) and (3,-4)
Pleaseee helppppppp
Answer:
y = x/3 - 5
Step-by-step explanation:
Answer:
y = (1/3)x - 5 .
Step-by-step explanation:
(-6 , -7) ; (3 ,-4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]
m = 1/3 ; (3,-4)
y - y1 = m(x - x1)
[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]
Can someone please tell me the answer
It's B because 2 equals 86 dgrees since its vertical angles
Help pls fast ....................
Answer:
its A. 5
Step-by-step explanation:
5/10 is also known as 1/2 so 5/10 is equal to 1/2
Help due today asap Plaese help
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
got it right on the test
What is 2/3 of 9?
2
3
6
7
Answer: 6
Step-by-step explanation:
2/3 of 9 is basically 2/3 times 9
Answer:
6, because this and that is this and that bam boom bap, just trust me bro
Will give brainliest
Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.
Answer:
25
Step-by-step explanation:
a=1/2bh
a=1/2(5)(10)
a=1/2(50)
a=25
It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.
Answer: 120.
Step-by-step explanation: $30 divided by $0.25
Brainliest goes to whoever explains the answer best pls help
Answer: (-2,9)
Step-by-step explanation: I did this not too long ago!
Solve equation [2] for the variable y
[2] y = 5x + 19
// Plug this in for variable y in equation [1]
[1] (5x+19) + 3x = 3
[1] 8x = -16
Solve equation [1] for the variable x
[1] 8x = - 16
[1] x = - 2
By now we know this much :
y = 5x+19
x = -2
Use the x value to solve for y
y = 5(-2)+19 = 9
Answer (-2,9)
Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.
Find the area of the polygon.
What is the domain of the function on the graph?
Answer:
x is greater than or equal to -3
[-3, infinity)
{x| -3 less than or equal to x les than infinity}
which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.
When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.
What is the median fit method?This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.
As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.
Find out more on the median fit method at https://brainly.com/question/23298464.
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Answer: C
Step-by-step explanation:
Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.
How much did Daphne start with on her card?
by what amount does her card value change per game?
write an equation to represent the situation.
Answer:
she starts with $25
every three games she spends $1.50 (.50 per game)
Step-by-step explanation:
i mean i cant really explain it, its kinda self explanatory
13. Describe and correct the error in finding the product.
X (x – 5)² = x² – 52
= x2 - 25
Answer:
Answer:
x=−1.27794
Step-by-step explanation:
x(x−5)2=x2−52
x3−10x2+25x=x2−52
Step 1: Subtract x^2-52 from both sides.
x3−10x2+25x−(x2−52)=x2−52−(x2−52)
x3−11x2+25x+52=0
Step 2: Use cubic formula.
x=−1.27794
Hope it helps +_+
A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective
Answer:
0.04845
Step-by-step explanation:
Probability that less than 7 but more than 4 bulbs from the sample are defective :
P(4 < X < 7) = P(x = 5) + P(x = 6)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
p = 0.2 ; 1 - p = 0.8 ; n = 11
P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876
P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969
P(4 < X < 7) = P(x = 5) + P(x = 6)
P(4 < X < 7) = 0.03876 + 0.00969
P(4 < X < 7) = 0.04845
You want to install a 3 yd wide walk around a circular swimming pool. The diameter of the pool is 16 yd. What is
the area of the walk? Use 3.14 for it.
The area of the walk is approximately
What would be the final
price of a $59.99 video game
in a state that charges 6.5%
sales tax?
Answer:
$63.89
Step-by-step explanation:
just multiply 59.99 by 1.065
I need help and it’s due soon
Answer:
Point A
Step-by-step explanation:
Answer:
point A
Step-by-step explanation:
The point A is opposite with the point R and the x-axis is between them.
Which is the solution to the equation
below?
-3=t- 12
A-9
C 9
B 4
D 15
what is the poem Caged Bird about?
PLEASE HELP ILL MAKE BRAINLIEST ASAP
The amount of money in a bank account increased by 18.5% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase? Select all that apply.
A
n + 0.185n
B
n + 18.5n
C
1.185n
D
0.185n
E
18.5n
F
19.5n
Answer:
A
Step-by-step explanation:
