Answer:
2249 / 540000
Step-by-step explanation:
Jobs arrival time = 8 jobs per hour
Service takes 3 minutes on average
Frame size = 5 second
capacity of each frame = 3 jobs
Determine the transition probability matrix for number of jobs in system
First step : find probability of job arrival
= 8 / ( 5 * 3600)
= 8 / 18000 = 1 / 2250
next : determine probability of service
= ( 3 * 5 )/ 3600
= 15 / 3600 = 1/240
Finally the transition probability matrix ( p10 )= { 1, 0}
= probability of service(1 - probability of arrival)
= 1/ 240 * ( 1 - 1 / 2250 )
= 1 / 240 * ( 2249 / 2250 )
= 2249 / 540000
z(x) is a function as defined below:
z(x) = x + 1
If you input a 3 into z(x), what do you get for the output?
What are the center and radius of a circle whose equation is:
(x−A)2+(y−B)2=C
Question options:
a)
Center: (−A,−B), radius = C
b)
Center: (−A,−B), radius =C −−√
c)
Center: (A, B), radius = C
d)
Center: (A, B), radius =C −−√
Answer:
d)
Step-by-step explanation:
Equation of circle with center at point (h, k) and radius, r.
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
This problem:
(x − A)^2 + (y − B)^2 = C
The center is (A, B).
The radius is sqrt(C).
Answer: d)
In 2002 the population of schoolchildren in a city was 90,000. The population decreases at a rate of 5% per year. What will be the population of school children in 2010?
Answer:
40,000 Not sure but i finish unit and got all a's and b's
Step-by-step explanation:
Answer:
59708Step-by-step explanation:
Initial population = 90000Decrease rate = 5% or 0.05 timesTime = 2010 - 2002 = 8 yearsPopulation of children in 2010:
P = 90000*(1 - 0.05)^8 = 59708 (rounded to the whole number)help me plissssss. “
Answer:
letter A because it's representing 100% plus some so it is increasing.
A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and
a then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in
simplest form.
Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.
Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
Answer:
angle 7
hope it helps...
Which number rounds to 700 when rounded to the nearest hundred?
Answer:
C.
Step-by-step explanation:
Hope this helps! have a great day!
What is the answer pls it’s for a grade
Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD
such that m∠ABD = 2x+3, m∠CBD = 4x+7, and m∠ABC = 40°. Based on this information,
would you ask for section 1 or section 2 (you have to pick one) for dessert? Provide numerical
evidence to back up your choice. Explain your reasoning and your methods.
Answer:
Section 2
Step-by-step explanation:
I will pick the section with the largest angle.
Let's determine the size of the angle of each section.
Given:
m∠ABD = 2x+3,
m∠CBD = 4x+7,
m∠ABC = 40°
Thus:
m<ABD + m<CBD = m<ABC (angle addition postulate)
Substitute
2x + 3 + 4x + 7 = 40
Add like terms
6x + 10 = 40
6x + 10 - 10 = 40 - 10
6x = 30
6x/6 = 30/6
x = 5
✔️m∠ABD = 2x+3
Plug in the value of x
m<ABD = 2(5) + 3 = 13° (section 1)
✔️m∠CBD = 4x+7
m∠CBD = 4(5) + 7
m∠CBD = 27° (section 2)
✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.
Name two pairs of adjacent angles and two pairs of vertical
angles in the figure.
Answer:
1. adjacent: ∠ACB and ∠BCD.
vertical: ∠ACB and ∠ECDStep-by-step explanation:
Tell me what is
YZ+40 =
Answer:
Let's simplify step-by-step.
yz+40
There are no like terms.
Answer: =yz+40
Hope this help :D
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sheets. Juan has 350 sheets of paper which statement is true
Answer:
i think the question is incomplete but
Tina at an average contains each package of
50 sheets ÷ 8 pack
6.205 of sheet in each pack
125 sheets ÷ 3 packs
caz contain at average 41.60 sheet average
but where the juan packs of paper that's why question is incomplete
An automobile manufacturer has developed a new compact automobile. A random sample of 64 of the new automobiles showed that the automobiles had a sample mean mileage of 28.75 miles per gallon and a sample standard deviation of 3.4 miles per gallon. a) Find the 95% confidence interval for the population mean mileage, and state your conclusion. b) Find the 98% confidence interval for the population mean mileage, and state your conclusion.
Answer:
The 95% confidence interval for the population mean mileage is
(27.917, 29.593)
The 98% confidence interval for the population mean mileage
(27.737, 29.762)
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 64
Given that the mean of sample x⁻ = 28.75miles
Given that the standard deviation of the sample (S) = 3.4 miles
Degrees of freedom = n-1 = 64-1 =63
t₀.₀₅ = 1.9983
Step(ii):-
95% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 0.845 , 28.75 + 0.845)
(27.917 , 29.593)
Step(iii):-
98% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 1.01252 , 28.75 + 1.01252)
(27.737 , 29.762)
Final answer:-
98% confidence interval for the population mean mileage is
(27.737 , 29.762)
ab" that goes through points (0,9)
Write an exponential function in the form y
and (5,2187)
9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
Pls help ASAP I’ll pay u 30$ cash. App
Answer:
how about no
Step-by-step explanation:
What is the volume and cubic feet of a rectangular prism with a base of 24 square feet and a height of 16 feet
Answer:
126
Step-by-step explanation:
Find the measure of <2.
Answer:
Angle 2 would be 78 degrees because of alternate exterior angle property.
What is the value of the expression (−2 4/5)÷(−1.4)
Answer:
2
Step-by-step explanation:
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
A. 15 ft
B. 20 ft
C. 180 ft
D.360 ft
Answer:
360
Step-by-step explanation:
will give brainliest <3! please help! no fake answers please
Answer:
input 1 output 1 ×7 =7
input 2 output 2 ×7 =14
input 3 output 3 ×7=21
input 4 output 4×7=28
Answers are 7, 14, 21 and 28
May somebody please help me and actually not just type nonsense I’ll give Brainlest or whatever u want
please help me with this !!
Answer:
Answer Below V
Step-by-step explanation:
1. They must be adjacent
2. They have to be connected with the line segment Z
find the value for x y and z
Answer:
All triangles add up to 180 degrees so...
180 - 43 - 59 = 78 degrees.
So x - 78 degrees.
x and y are supplementary angles so...
180 - 78 = 102.
So y = 102.
180 - 102 - 49 = 29 degrees
So z = 29 degrees
Hope this helps!
Hello, can someone help me with this question?
Answer:
area = 77 m²
Step-by-step explanation:
area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²
Help plz need to pass
Answer:
The answer would be 792
Step-by-step explanation:
Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.
Which combination of shapes can be used to create the 3-D figure?
a 3D figure with bases that are congruent regular polygons with 8 sides that are connected by congruent polygons which have a length greater than their width
Two regular octagons and eight congruent rectangles
Two regular pentagons and five congruent squares
Two regular octagons and eight congruent squares
Two regular pentagons and five congruent rectangles
A 3-D figure is a shape that its three surfaces can be observed at the same time. Therefore, required answer to the given question is: A. Two regular octagons and eight congruent rectangles.
When the length, width and height of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.
Thus, since the 3-D figure required in the question has two bases in the shape of regular octagon, which should have 8 sides connected by congruent polygons of length greater than their width.
This implies that the sides of the figure must be made up of eight congruent rectangles, because the 3-D figure has eight regular sides (which would be the width of the rectangles). Then, the height of the figure would be the length of the rectangles.
So, the correct option to the given question is A. Two regular octagons and eight congruent rectangles.
A sketch is attached to this answer for more clarifications.
For reference: https://brainly.com/question/12504553
Answer:
Two regular octagons and eight congruent rectangles
Step-by-step explanation:
Based on the picture in my test, I am positive the description and the picture are of the same thing. In the picture, I can see eight congruent rectangles and two octagons. I also got this right on my test.
picture of object:
Can some one please help me find the solution of the question
Answer:
x=16°
Step-by-step explanation:
tanθ=opposite/adjacent
tan(<CAB)=BC/AB
<CAB=tan⁻¹(21/29)=35.9097308°
tanθ=opposite/adjacent
tan(<DAB)=BD/AB
<DAB=tan⁻¹((21/2)/29)=19.90374954°
<CAB=<DAB+x
x=<CAB-<DAB
=35.9097308-19.90374954
x=16.00598126°
A yogurt costs 35p.
How many yogurts can be bought for three pounds?
Answer:
8 yogurts or it will be 1 yogurt
Step-by-step explanation:
Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...
For the diagram shown, find the measures of angles 4,5, and 6.
Answer:
wheres the diagram???
Step-by-step explanation:
Evaluate each expression for the given value(s) of the variables(s).
Answer:
9. [tex] \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] \frac{1}{81} [/tex]
Step-by-step explanation:
9. [tex] x^{-4} [/tex]
Evaluate when x = 10.
Substitute x = 10 into the expression
[tex] 10^{-4} [/tex]
Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])
Thus:
[tex] = \frac{1}{10^4} [/tex]
[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] 2a^{-1}b^{-3} [/tex]
Evaluate when a = 6 and b = 3
Substitute
[tex] (2*6^{-1})(3^{-3}) [/tex]
Apply the negative exponent rule
[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]
[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]
[tex] \frac{2*1}{6*27} [/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Question : 9plugging the value of x as 10, we get
[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]
[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]
[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]
[tex] \longrightarrow\dfrac{1}{10000} [/tex]
[tex]\longrightarrow0.0001[/tex]
Question : 10plugging the value of
a as 6b as 3[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]
[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]
[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]
[tex]\longrightarrow \dfrac{2}{162} [/tex]
[tex]\longrightarrow \dfrac{1}{81} [/tex]
_____________________________
[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]