The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 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]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
I need help with this is this complementary or supplementary or nither
What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?
Answer:
1/25, 1/5, 1
Step-by-step explanation:
Answer:
A on edgeinuity
Step-by-step explanation:
IMAGINE GETTING A DIPLOMA IN THREE DAYS!!!
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Does anyone wanna help me?
Answer:
The correct answer is Lorenzo
describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation:
Water's strong hydrogen bonds result in which physical properties? Check all that apply.
A. high boiling point
B. low boiling point
C. high specific heat
D. low specific heat
E. density of ice being less than that of liquid water
F. density of ice being greater than that of liquid water
Answer:
1,3,5
Step-by-step explanation:
Got it right
Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.
As a gift for your hard-earned victory in defense of the kingdom, the king gives you a reward. One penny with the promise to double it every day for the next 25 days. What would a reasonable range be in this situation? How many pennies will you have on the 25th day?
3*f(-4)-3*g(-2)=???
Khan Academy
The value of the given function is 6
Functions and valuesGiven the following expression 3*f(-4)-3*g(-2), to find the values, we can assume that;
f(-4) = 10g(-2) = 8Substitute the given parameters into the expression to have:
3*f(-4)-3*g(-2)
= 3((10) - 3(8)
= 30 - 24
= 6
Hence the value of the given function is 6
Learn more on function here: https://brainly.com/question/17431959
Answer:
khan academy the answer is -27
What is the value of
7/3 divided by 5/6
Answer:
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6
3 x 5
=
42
15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42
15
To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Step-by-step explanation:
42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .
Here, we have,
given that,
7/3 divided by 5/6
so, we get,
7/3 / 5/6
=7/3 x 6/5
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6/3 x 5
= 42/15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42/15
To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Learn more about the Division here:
brainly.com/question/22357901
#SPJ6
Can someone help me with this?
Answer:
B
Step-by-step explanation:
What is the value of x in 145.95-2x=-4.05?
The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.
What is the face value of 2 in the number 286?
Answer:
200 or 2 I guess
Step-by-step explanation:
Ion really get wym by “ what is the face”
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
awser the circled question
Answer:
7.5
Step-by-step explanation:
if one square is unit then use area formula for a right triangle which is 1/2bh
since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5
hope this helps
what wasbthe high temperature bon the 6th day of the trip
If x=5 then what is 3x+(2-4x). P.S. standard form
Answer:
-3
Step-by-step explanation:
3x+(2-4x)
3*5+(2-4*5)
3*5+(2-20)
3*5+(-18)
3*5-18
15-18
-3
Help for brainliest !!
Answer:
I think the option b
But not sure about it
Answer:
A. 5/9 square meters
Step-by-step explanation:
Given
Length (L) = 5/6 meter
Breadth (b) = 2/3 meter
Now
Area of the garden
= L * b
= 5/ 6 * 2 / 3
= 5 / 9 square meters.
Hope it will help :)
The length of a rectangle is four times its width. If the area of the rectangle is 100in2 , find its perimeter.
which best describes a way to show 1 third shaded
Answer:
Draw a circle then you divide it into thirds, then you grab your penicl and shade one of those three sections. That is how you show 1 third shaded
Step-by-step explanation: Vote brainiest plzzz
draw a rectangle divide it into 3 equal parts and shade in 1 part
A supermarket has found that the relationship between a day's high temperature and the amount of money taken in on that day from frozen yogurt sales can be modeled by the equation y = 4x + 164, where x is the high temperature in degrees Fahrenheit and y is the amount taken in from frozen yogurt sales in dollars. Which of these statements is true according to the model?
Answer:
On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.
Step-by-step explanation:
what is w divided by 6=7
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
hello, I hope your having a nice day! (if not then there will be other sunny days)
but I need someone who could help me solve this problem. :)
Answer:
-6x^4y^4z^8
Step-by-step explanation:
A box of cereal states that there are 87 calories in a 3 4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer:
3 cups = 348 calories
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories
116 x 3 = 348 calories
Credit: tutorAnne
A cylinder and its dimensions are shown in the diagram.
Which equation can be used to find v, the volume of the cylinder?
5 in.-
A v = 7(2.5h)
B v = (5h)?
ע
C v= *(2.5) n
Dv = (5)n
h in.
What is the volume of the cylinder? Round to the nearest tenths. Show your work.
Answer:
C. V = π(2.5)²h
Volume = 19.6h
Step-by-step explanation:
Radius (r) of cylinder = ½ of 5 = 2.5 in.
Height (h) = h in.
Volume of a cylinder = πr²h
Equation that can be used to find B:
Plug in the values into the volume formula
V = π(2.5)²h
Volume = 19.6h
Aubree is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Aubree need to invest, to the nearest dollar, for the value of the account to reach $5,600 in 16 years?
Answer:
p=4407
Step-by-step explanation:
Answer:
22.2
Step-by-step explanation:
for nearst tenth
Which is the value of the expression? (-2) to the fourth power
A. -16
B. -8
C. 8
D. 16
Answer:
Variant D
Step-by-step explanation:
-2*(-2)*(-2)*(-2)=16
Find the distance between the two points in simplest radical form.
(0,8) and (4,0)
