Answer:
Part A:
[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]
Part B:
[tex]P_3=0.24321[/tex]
Part C:
[tex]Average\ Number:=1.6817[/tex]
Step-by-step explanation:
Given data:
Mean =μ= 40 calls
Service Rate=λ=18 calls
Solution:
Formula:
[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]
Where i is access lines
Part A:
Probability of 0 access line, i=0:
[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]
[tex]P_0=0.13298[/tex]
Probability of 1 access line, i=1:
[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]
Probability of 2 access line, i=2:
[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]
Probability of 3 access line, i=3:
[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]
Part 2:
Only 3 users can access simultaneously, denied Probability is P_3(4th access line)
[tex]P_3=0.24321[/tex]
Part 3:
Average Number:
[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]
ANSWER AND STEPS PLEASE
A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches. What is the approximate volume of the basketball in cubic inches?
Answer:
Step-by-step explanation:
V sphere = (4/3) π r³ r = 4.7 inches
= (4/3) π 4.7³ use calculator now
= 435 in³
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCHHHH!!
Answer:
If you are finding area then the area is 254.34
Step-by-step explanation:
Area of a circle- 3.14 times radius squared
3.14 (pi) times 81 (9 squared)
The graph shows the function f(x) = 6(3)x. What is the value of the inverse function, f −1, at x = 2?
Answer:
There is an error in the equation.
f ( x ) = 63 X?? or whatt??
Answer:
-1
Step-by-step explanation:
y = f(x)
y = 6 * 3^x
Interchange x and y
x = 6 * 3^y
Divide by 6
x/6 = 3^y
Take the log of both sides
log(x/6) = log(3)^y
Bring the y down
log(x/6) = y log(3)
Divide by log(3)
log(x/6)/log(3) = y
Let x = 2
log(2/6) / log(3) = y
-(0.4771 )/ 0.4771 = y
y = - 1
Remark
The original graph is in green
The red graph is the inverse.
The point (2,-1) is marked so that you know it falls on the inverse.
35. A house that is selling for $150,000 requires a down payment of $12,000. What percent of the cost of the house is the down payment?
Answer:
8% down payment
Step-by-step explanation:
find lcf which is 3 and then it is 4/50 which is 8/100
(Divide the two numbers by 3 once you find it and then go from there to find 4/50)
Answer:
I dont know expalin more
Find the slope of the line passing through the points (-4,-5) and (3, -5).
_____ data are information about people, places, and things that can be measured with numbers.
Answer:
numerical
Step-by-step explanation:
i guess not sure though
24 + 6 divide by 3 -2 (4 + 1)
Answer:
30
Step-by-step explanation:
Answer:
About -4.286
Step-by-step explanation:
First, let's set up the equation.
(24 + 6)/(3 - 2 [4 + 1])
Now, let us do the parenthesis first. (4 + 1). While we are at it, we can also do 24 + 6.
30/(3 - 2[5)]
Now, -2(5)
30/3 - 10
Let us do 3 - 10
30/-7
Lastly, 30/-7, which unfortunately, is a non-terminating decimal, which is about:
-4.286, rounded to the nearest thousandth.
Hope this helps!
Find the vertex and focus of
(x+3)^2 = 4 (y+2)
Answer: I don’t know how to solve x but look at the picture
Step-by-step explanation: Hope this help :D
Help pleaseeeeeeeee
Answer:
(4,0)
Step-by-step explanation:
Answer:
I have made it in above picture
hope it helps
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a 6 and flipping tails is
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a number less than 3 and flipping tails is
.
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a number less than 3 and flipping tails is
.
.
Answer:
1/6*1/2=1/12
Step-by-step explanation:
You basically multiply the probability of getting 1 which is 1/6 out of the total and the probability for getting heads is 1/2 because there are 2 outcomes heads or tails.
So then you multiply them to get the probability of both of them so thats why it is 1/12
Answer:
2/10
Step-by-step explanation:
We can get 2/10 by multiplying the probability of the spinner and the coin because the question wants the compound probablity.
Since there is 2 numbers less than 3 on the spinner and a 50 50 chance of getting tails, 2/5 * 1/2 is 2/10.
1. If x and y are vertical angles, then y _____ has the same measure as x.
2. If x and y are adjacent angles, then x and y are ____ acute
Fill in blank with (sometimes, never, always)
Someone please help me for brainliest and 30 points. Please DO NOT answer if u don’t know. And do not put in the comment here’s a link cause it leads to no where. Ty.
Answer: 1. Sometimes 2. Always
Step-by-step explanation:
I am pretty sure these are right.
What is the length of a rectangle who’s permitter is P if the width is 6
Answer:
(P-12)/2 = L
Step-by-step explanation:
1. Start off with an equation in terms of perimeter
P = (2)(6) + (2)(L)
2. Multiply the two and the six
P = 12+ (2)(L)
3. Move the terms around so only "L" is on one side
(P-12)/2 = L
hope this helped :)
Step-by-step explanation:
Hope this helps!
Solve for x.
Question 6 options:
A)
10
B)
13
C)
12
D)
11
Answer:
Step-by-step explanation:
23) When a two digits number is divided by the sum of its digits, then the
quotient is 8 and the remainder is 2. If the digits are reversed and the
resulting number so formed is divided by the sum of the digits, the
quotient is 2 and the remainder is 8. Find the two digits number.
Answer: 82
Step-by-step explanation:
As we know remainder formula:-
Dividend = Quotient × Divisor + Remainder
Here, dividend = Two digits number & divisor = Sum of digits
m + 10n = 8 × (m + n) + 2
m + 10n = 8m + 8n + 2
m - 8m + 10n - 8n = 2
2n - 7m = 2
2n = 7m + 2
n = (7m + 2)/2 - - (Eq.1)
Digits interchanged, two digits number is divided by sum of digits, quotient is 2 & remainder is 8.
Now, when digits interchanged:-
Two digits number = 10m + n
Using same formula we get:-
10m + n = 2 × (m + n) + 8
10m + n = 2m + 2n + 8
10m - 2m + n - 2n = 8
8m - n = 8
8m = n + 8
n = 8m - 8 - - - (Eq.2)
Comparing both equations:-
(7m + 2)/2 = 8m - 8
7m + 2 = 2(8m - 8)
7m + 2 = 16m - 16
7m - 16m = -16 - 2
-9m = -18
m = -18/-9
m = 2
So, digit at unit's place = 2
Put this value in (Eq.2)
n = 8(2) - 8
n = 16 - 8
n = 8
So, digit at ten's place = 8
Now two digit number:-
Two digit number = 2 + 10(8)
Two digit number = 2 + 80
Two digit number = 82
They are similar solve for y
Answer:
y = 3
Step-by-step explanation:
the figure on the right is similar, except the lengths are half as big as the figure on the left. the missing segment, PR, corresponds to FH on the other figure, which is 6. 6/2 = 3, so PR, or y, is 3.
What is the volume of this figure
a
12 cubic units
b
16 cubic units
c
28 cubic units
d
40 cubic units
Answer:
c
28 cubic units
Step-by-step explanation:
Solve for x:
3a-b/x-b=1/x+1
b-3a does not equal -1
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answer:
34
Step-by-step explanation:
i think I had this question
1. How many Grams are equal to 35kg.
2. how many milligrams are equal to 927 grams
3. How many grams are equal to 14,000 milligrams
Answer:
number 1 is 30000
Step-by-step explanation:
that's all i know :(
FREE
Win 3.0
Fend SUPERWASH
3/4x = 1/5 .x =
Pls help I will give brainliest
Answer:
x= 4/16 stan
x=0.26 dec
Step-by-step explanation:
⬇ Hello! The answer would be down below! :) ⬇
x = 0 will be the answer.
Step-by-step explanation:
So, we start with [tex]\frac{3}{4} x = \frac{1}{5} x[/tex] .
For step 1 we should subtract [tex]\frac{1}{5} x[/tex] on both sides.
[tex]\frac{3}{4} x - \frac{1}{5} x = \frac{1}{5} x - \frac{1}{5} x[/tex]
= [tex]\frac{11}{20} x = 0[/tex]
For step 2 we will multiply both sides by [tex]\frac{20}{11}[/tex].
[tex](\frac{20}{11})[/tex] x [tex](\frac{11}{20} x ) = (\frac{20}{11})[/tex] x [tex]\ (0)[/tex]
= x = 0
Asap: please can you help me with this question
Find the range of values for which
x2–5x + 6 < 0
Answer:
Step-by-step explanation:
x^2 - 5x + 6 = 0
(x - 2)(x - 3)
So the critical point are x = 2 and x = 3.
The graph of the function opens upwards and pass through the x axis at (2, 0) and (3, 0).
So the required range is the values of f(x) between when x = 2 and x = 3
that is 2 < x < 3.
Answer:
Step-by-step explanation:
1 Factor {x}^{2}-5x+6x
2
−5x+6.
(x-3)(x-2)<0
(x−3)(x−2)<0
2 Solve for xx.
x=3,2
x=3,2
3 From the values of xx above, we have these 3 intervals to test.
\begin{aligned}&x<2\\&2<x<3\\&x>3\end{aligned}
x<2
2<x<3
x>3
4 Pick a test point for each interval.
For the interval x<2x<2:
Let's pick x=0x=0. Then, {0}^{2}-5\times 0+6<00
2
−5×0+6<0.
After simplifying, we get 6<06<0, which is false.
Drop this interval..
For the interval 2<x<32<x<3:
Let's pick x=\frac{5}{2}x=
25
. Then, {(\frac{5}{2})}^{2}-5\times \frac{5}{2}+6<0( 25) 2−5× 25+6<0.
After simplifying, we get -0.25<0−0.25<0, which is true.
Keep this interval..
For the interval x>3x>3:
Let's pick x=4x=4. Then, {4}^{2}-5\times 4+6<04 2 −5×4+6<0.
After simplifying, we get 2<02<0, which is false.
Drop this interval..
5 Therefore,
2<x<3
2<x<3
Solve for x:
3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
a2 (exponent 2)
x= - _______
1 - 3a + a2 (exponent 2)
Mark brainliest please.
Find the properties of each Quadratic Function
A cell phone company charges $45 per month plus $10 per GB of data used above your limit. If your total bill was $79, write and solve and equation to find how much data was used above the limit?
help plsssssssssssssssss I BEGGGGGG
| Which expression is equivalent to m+ m - (m + 1)? m+ 3 А oolw colw 1 B. inloo C 3 5 mt 8 1 D 3 8 m 5 8
Answer:
C? I dont really know.
Step-by-step explanation:
but
if
I
am
right
plz
give
brainliest
1.36 km is how many cm
Answer:
136000 cm
Step-by-step explanation:
I think it's helps you
Find the value of x
A. 12
B. 36
C. 13
D. 6
The points on the number line below are equally spaced. Point Q is the opposite of 20. What is the value of point S?
(A) -8
(B) -4
(C) 4
(D) 8
Answer:
4
Step-by-step explanation:
HELPP MEE!!!!
IS the histogram below symmetrical?
..
Is it skewed to the right or left?
how many peaks does it has?