Answer:
a. E(X) = 0.333 minutes
b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c. 0.9986
Step-by-step explanation:
a.
To find the mean time between counts
Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.
i.e.
[tex]E(X) = \dfrac{1}{\lambda}[/tex]
[tex]E(X) = \dfrac{1}{3}[/tex]
E(X) = 0.333 minutes
b. Since X is attributed to an exponential distribution, The standard deviation between counts is:
[tex]\sigma_x = \dfrac{1}{3}[/tex]
[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c.
Given that;
The average number of count per minute = 3
The value of X such that P(X < x) = 0.95 can be calculated as;
[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]
[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]
[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]
[tex]e^{3t} = 1-0.95[/tex]
-3x = ㏑ (0.05)
-3x = - 2.9957
x = -2.9957/ -3
x = 0.9986
The value of x = 0.9986
Answer:
a) 3
b)3
c) 8.9872
Step-by-step explanation:
a) According to the question, mean is 3.
b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.
c) P[x<X]=0.95
f(x)= λ*e^(-λ*x)
∫f(x)dx, 0 to x
mean = 1/λ =3. So, λ= 1/3.
∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x
-e^(-x/3)+1 = 0.95
-e^(-x/3)=-0.05
x/3=ln(0.05)
x=ln(0.05)*3= 8.9872
Linear functions is y = x - 7 a linear function?
Answer:
Linear Function
Step-by-step explanation:
there are an infinite number of ordered pairs of x and y that satisfy the equation.
You are walking from home to music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home. How much farther do you have to walk
The number of miles that farther you have to walk will be 1/12 miles.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
You are walking from home to the music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home.
The number of miles that farther you have to walk will be
⇒ 3/4 - 2/3
⇒ (9 - 8) / 12
⇒ 1/12
The number of miles that farther you have to walk will be 1/12 miles.
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PLEASE HELP meeeeee asap
solve
the following linear Equations
152x-378y=-74
-378x+152y=604
Answer:
x=2& y=1
Step-by-step explanation:
check it out
whether answer is correct or not
helppppp please I will give brainliest
Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.
Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.
Answer:
Option (3) and Option (5)
Step-by-step explanation:
Alice invested $13 in the first month.
Then she deposits $25 every month.
Therefore, sequence formed by the deposit will be an arithmetic sequence.
First term of the sequence will be,
[tex]A_1=13[/tex]
Since, recursive formula formula of a sequence is given by the formula,
[tex]A_n=A_{(n-1)}+d[/tex]
Where 'd' = common difference in each term of the sequence
Recursive formula for the sequence will be,
[tex]A_n=A{(n-1)}+25[/tex]
Since, explicit formula for the arithmetic sequence is represented by the formula,
[tex]A_n=A_1+(n-1)d[/tex]
where n = number of term
d = common difference
Therefore, nth term of the sequence formed will be represented by the explicit formula,
[tex]A_n=13+(n-1)25[/tex]
[tex]A_{10}=13+(10-1)25[/tex]
= 13 + 225
= 238
[tex]A_{8}=13+(8-1)25[/tex]
= 188
[tex]A_{12}=13+(12-1)25[/tex]
= 288
Therefore, Option (3) and Option (5) will be the answer.
A notebook costs $4.50 plus sales tax . After sales tax , the notebook is $4.86. What is the sales tax rate?
Answer:
8%
Step-by-step explanation:
0.36/4.50=0.08=8%
BRAINLIEST TO THE CORRECT ANSWER PLEASE HELP ME I BEG U
Chelsea's catering company charges a fixed rate for each hour of an event they work plus a set-up fee. The total cost (C) of the company's last 4 events according to the total hours (h) they worked is found
in the table above.
Which statement is the best representation of the total cost to hire Chelsea's catering company?
A.C= 100* + 25
B. C = 75h + 325
C.C= (100 + 75)"
D. C- 100 + 75h
PLS HELP
Answer:
I believe is D. C= 100$+75h
Step-by-step explanation:
Looks like for each day they paid 100$ fee + 75$ per each hour.
What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?
Answer:
{24, 18, 12, 6, 0} is the range of the above function
Step-by-step explanation:
solution:
let, x= -4
f(-2) = 12-3*(-2)
= 12+12
=24
let,x= -2
f(-2) = 12-3*(-2)
=12+6
18
let,x =0
f(0)= 12-3*0
=12-0
=12
let,x=2
f(2) = 12-3*2
=12-6
=6
let,x=4
f(4) = 12-3*4
=12-12
=0
Alan bought 5 feet of fabric. How much is this in yards
Answer:
15 yards.
Step-by-step explanation:
This is because there are 3 feet in one yard, and 5x3= 15.
Answer:
1.66667
Step-by-step explanation:
Anthony has t tickets. Charlie has 2 less than triple the number of tickets that Anthony has. In terms of t, how many tickets does Charlie have?
Answer:
3t-2
Step-by-step explanation:
if anthony has t tickets multiply that by 3 with 3t and subtract 2
Anybody know how to solve for Y
Answer: y = 108
Step-by-step explanation:
A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits.
Answer:
18 credits per semester
Step-by-step explanation:
Based on the information given the rate at which she is earning credits is 18 credits per semester.
Using this formula
Credits earning rate=Ending credit-Beginning credits /Number of semesters
Where:
Ending credits=117 credits
Beginning credits=9 credits
Number of semesters=6
Let plug in the formula
Credits earning rate=117-9/6
Credits earning rate=108/6
Credits earning rate=18 credits
Inconclusion the rate at which she is earning credits is 18 credits per semester.
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A surgical procedure requires choosing among four alternative methodologies. The first can result in five possible outcomes, the second can result in two possible outcomes, and the remaining methodologies can each result in four possible outcomes. What is the total number of outcomes possible?
Answer:
15 possible outcomes
Step-by-step explanation:
Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,
m1 = 5 outcomes
m2 = 2 outcomes
m3 = 4 outcomes
m4 = 4 outcomes
5 + 2 + 4 + 4 = 15
we can see that there are a total of 15 possible outcomes
Area can be defined as the number of square units it takes to cover the inside
of a figure
A. True
B. False
Answer:
A
Step-by-step explanation:
It is making me add 20 characters to my answer so ignore this :)
Answer:
its TRUE
Step-by-step explanation:
Find the perimeter for the irregular polygons below
Answer:
1. 23
2. 17
Step-by-step explanation:
perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.
4. Savannah earns $247.00. How many
hours did she work?
2
Answer:
we need to know how much she earns per hour
Step-by-step explanation:
Write the equation of the line fully simplified slope-intercept form.
Answer:
If your talking about the slope-intercept form, its y = -1/2x + 1
Step-by-step explanation:
A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-bedroom condo. The total rent she receives is $1240. She needs to make repairs on the condos, and it costs 10% of the 1-bedroom condo’s rent for its repairs, 20% of the 2-bedroom for its repairs, and 30% of the 3-bedroom condo’s rent for its repairs. The total repair bill was $276. The 3-bedroom condo’s rent is twice the 1-bedroom condo’s rent. How much is the rent for all three condos?
Total spent percentage=30+10=40%
Now
[tex]\\ \sf\longmapsto 40\%\:of 1240[/tex]
[tex]\\ \sf\longmapsto 0.40(1240)[/tex]
[tex]\\ \sf\longmapsto 472[/tex]
Total rent for three condos
[tex]\\ \sf\longmapsto 472+276=752[/tex]
A fencewill go around a circular Garden. The radius of the garden is 29 feet what length of fence is needed
Answer: 58π = 182. 21 feet
Step-by-step explanation:
Circumfrence is kinda like the perimeter of the circle and we need to use the cirucumfrence formula 2πr to solve for the length of fence needed.
2π(29) = 58π = 182. 21 feet
please help me :(
Jill, Grace, and Billy shared pennies in the ratio 2 : 4 : 4. They had a total of 120 pennies in all. How many pennies did Jill receive?
2 pennies
24 pennies
48 pennies
60 pennies
Answer:
24
Step-by-step explanation:
Jill 2 Grace 4 Billy 4
Jill 24
Grace 48
Billy 48
Answer:
4+4+2=10
120/10=12
12*2=24
24
Step-by-step explanation:
40 subtracted from five times a number is 8 more than the number write the equation
Answer (let x be the number):
5x - 40 = x + 8
I hope this helps!
The number in the equation 5n - 40 + 8 = n is 8.
What is a numerical expression ?A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.
We can also construct numerical expression form real life scenarios.
According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.
Let the number be 'n'.
∴ 5n - 40 + 8 = n
5n - n = 40 - 8.
4n = 32.
n = 32/4.
n = 8.
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A company refinishes wood floors for $1.50 per square foot. Makayla hires the company to refinish 1,000 square feet
in her home. How much does she pay for the refinishing work?
$500
$1,000
$1,500
$5,000
Answer:
The correct answer is $1,500
Step-by-step explanation:
hope this helps
What is the slope and y-intercept of the equation on this graph
Answer:
C.
Step-by-step explanation:
How many different 3-digit numbers can you write if you may use only the digits 2, 5 and 7, each of them no more than once?
Answer:
dream is cool................
Give me a highly detailed explanation of the answer to the equation of 1+1.
Let's solve this question as simply as we can
Step 1:
Add your odd numbers which is one with one
There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.
ex. 1 divided by 2 = 0.5
Step 2:
Now after adding our odd number you should turn up with an even number which we know as two.
Even numbers can be divided by 2
ex. 2 divided by 2 = 1
Answer is = 2
(08.01)Two lines, A and B, are represented by the following equations:
Line A: 2x + 2y = 8
Line B: x + y = 3
Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.
Answer:
It is D, ( the numbers to the right of the equals sign are different.)
Step-by-step explanation:
May y'all please help me
Answer:
2x^2 - 11x + 6
Step-by-step explanation:
2x^2 + 4x - 3 * (5x - 2)
Distribute -3 between the parentheses like so.
2x^2 + 4x - 15x + 6
And then add like terms 4x and 15x together.
2x^2 - 11x + 6
A scientist is examining a multicellular organism that has the ability to move from one location to another and eats food to gain energy for survival. What kingdom would be the best option when classifying this organism?
Find the equation of the line use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation: