Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.
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]
In this problem, mean of 66 seconds, hence, the decay parameter is:
[tex]\mu = \frac{1}{66}[/tex]
The probability that a customer waits less than 39 seconds is:
[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]
0.4462 = 44.62% probability that a customer waits less than 39 seconds.
A similar problem is given at https://brainly.com/question/17039711
4 examples of one step equation
Answer:
Step-by-step explanation:
x + 14 = 20
4 = x²
x/4 = 50
x - 7 = 1
What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?
(Giving brainliest, 5 stars and a thanks)
Answer:
3/7
Step-by-step explanation:
If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.
50%=100%/2
26*2 = 52
Original price is 52 dollas
Answer:
52
Step-by-step explanation:
please mark brainlest
help me out guys !!!?
Answer:
4
Step-by-step explanation:
yeah-ya............. right?
Answer:
16
Step-by-step explanation:
because :-
f(x) =[x+6] x=-10
=[-10+6]
=10+6
16
y>= -5x + 8 what is m?
Answer:
The slope = -5
Step-by-step explanation:
y ≥ -5x + 8
Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5
4/2 - (-2/3)
im confusedddd lol
Answer:
2.66666666667
or
266666666667/100000000000
Step-by-step explanation:
9514 1404 393
Answer:
2 2/3
Step-by-step explanation:
The minus signs cancel, so the sum is ...
4/2 +2/3
The improper fraction on the left reduces to 2, so this is ...
2 +2/3
That sum is simply the mixed number 2 2/3.
How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
Read more about palindromes at:
https://brainly.com/question/14076732
sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase
Answer:
175% increase
Step-by-step explanation:
Can someone answer these questions? Thank you!
Answer:
It's not a function
Because it's not a function, you don't have to answer b and c
please help me with these questions I could truly appreciate it. No link please!
Explain why an exponential or logarithmic function would not be used to model the graph from question 1?
For Question 1, what is the y intercept and explain the meaning in the context of that problem?
Answer:
see below
Step-by-step explanation:
neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.
1. 600, y intercept is when the study began
A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.
The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600The function type
An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.
These functions would not increase and then decrease or decrease and then increase at different intervals.
From the attached graph, we can see that the graph increases and decreases at several intervals.
Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.
The y-intercept
The graph cross the y-axis at y = 600.
Hence, the y-intercept is 600
Read more about exponential and logarithmic functions at:
https://brainly.com/question/3181916
Please Help!
what is the resultant of the two vectors shown above?
A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)
Answer:
D 5 5 it has to be the answer
Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.
Step-by-step explanation:
The conversion for parsecs into meters is
1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]
So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is
[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]
[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]
Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?
Answer:
23
if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023
15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0
Find the discriminant of the quadratic equation.
2i2+6i=4
- BRAINLIEST answerer
For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?
Three to Ten 3:10
...................................................
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
Help help math please please
Answer:
x = 42
Step-by-step explanation:
2x + 8 + 2x + 4 = 180
4x + 12 = 180
4x = 168
x = 42
Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?
Answer:
Step-by-step explanation:
300(0.70) + 200(0.95) = (300 + 200)x
400 = 500x
x = 0.80
80%
In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.
Answer:
Step-by-step explanation:
Let x be the lowest number of the four
x + (x + 7) + (x + 14) + (x + 21) = 6
4x + 42 = 6
4x = -36
x = -9
-9 + 7 = - 2
-9 + 14 = 5
-9 + 21 = 12
-9. -2, 5, 12
1/7 divided by blank equals 14
Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]Step 2: Multiply both sides by 7x.
[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]Step 3: Divide both sides by 98.
[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]Step 4: Check if solution is correct.
[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]Therefore, the answer is 1/98.
Find the equation of this line.
y=3/4x+1/4
I hope this helped :)
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4(x+3)
4y+8=3x+9
4y=3x+9-8
4y=3x+1
y=3/4 x+1/4
SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4
answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.
answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
What is 2,000/3.67 estimate
Answer:
an estimate would be 2000/4 so it would be 500
Step-by-step explanation:
hope this helped <3
A car travels a constant speed of 45 km/h
3.4.1 The distance travelled in 6 hours?
3.4.2 The time it takes to travel 495 km?
Answer:
1 hour
Step-by-step explanation:
because i divided
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?
Answer::2,075,673,600 batting orders may occur.
Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.
Hemp help help help help help math math math
Answer:
x=25
Step-by-step explanation:
5x-5+ 2x+10 =180
2x-5x = 10+5
3x= 15
x=5
5(5)-5+ 2(5) +10 =180
Is this a function or not a function?
Answer:
This is indeed a function
if 5c-2=3c, then 24c=
Answer:
24
Step-by-step explanation:
Step-by-step explanation:
24 is 3×8
so, when
3c = 5c-2
then
8×3c = 24c = 8×(5c-2) = 40c - 16
There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation:
