an athletic facility has 5 tennis courts. pairs of players arrive at the courts and use a court for an exponentially distributed time with mean 40 minutes. suppose a pair of players arrives and finds all courts busy and k other pairs waiting in queue. what is the expected waiting time to get a court?
The expected waiting time to get a court is 8(k + 1).
What is expected time?
The projected time is simply the time frame in which the Project is anticipated to be finished. When the parties to the project contract are signing it, they will either mutually agree upon this time or decide it together with the participation of all the stakeholders, contractors, and clients.
They need to wait for k+1 pairs to finish before they can start.
Since the exponential distribution is memoryless, the expected time for a given pair to finish once started is 40 minutes, and there are 5 courts,
the expected time for any of the 5 courts to finish is 40/5=8 minutes, and so their expected waiting time is 8(k+1) minutes.
Hence, the expected waiting time to get a court is 8(k + 1).
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In ΔQRS, q = 25 inches, r = 58 inches and s=37 inches. Find the measure of ∠R to the nearest degree.
Answer:138
Step-by-step explanation:
Answer:
138
Step-by-step explanation:
delta math
a sociologist develops a test designed to measure attitudes about disabled people and gives the test to 16 randomly selected subjects. their mean score is 71.2 with a standard deviation of 10.5. construct the 99 percent confidence interval for the mean score of all subjects.
The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.
Given:
No. of samples (n)= 16
df = n-1 = 16 -1 = 15
The mean score is 71.2
The standard deviation = 10.5.
So, from the t-distribution of critical values table through the above-mentioned details. We get the values:
Alpha / 2 = 0.005
z = 99/100 + 0.005 = .99 + .005 = .995
Sample mean = xbar = 76.2
t = 2.947
The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)
i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736
I = 71.2 +/- E = 71.2 +/- 7.736
99 percent confidence interval - 71.2 +/- 7.736
Adding both sides 7.736 for range. We get,
63.464 < u < 78.936
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two balls are drawn simultaneously from a bag containing 2 yellow and 4 green balls. what is the probability of drawing 2 green balls
The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:
First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.
Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.
Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.
Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:
(4/6) * (4/6) = 16/36
To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):
16/36 = 4/9
So, the probability of drawing 2 green balls simultaneously is 4/9.
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55:39
How is the product of 3 and 2 shown on a number line?
Answer:
The answer is A
Step-by-step explanation:
Is b=2a+10 equal to 4a+2b=10
Answer:
Yes
Step-by-step explanation:
g The hourly wage of some automobile plant workers went from $ 6.90 to $ 16.09 in 11 years (annual raises). If their wages are growing exponentially what will be their hourly wage in 9 more years
Their hourly wage in 9 more years is $23.60 per hour.
How to find hourly wage?To find the hourly wage in 9 more years, we can use the formula for exponential growth:
A = \(P * (1 + r)^t\)
Where:
A = final amount (hourly wage in 9 more years)P = initial amount (hourly wage at the beginning, $6.90)r = annual growth ratet = time in years (9 years)To find the annual growth rate, we can use the formula:
r = \((A/P)^(^1^/^t^)\) - 1
Substituting the given values, we get:
r = \((\$16.09 / \$6.90)^(^1^/^1^1^)\) - 1
r = 0.0883 or 8.83%
Now we can use this growth rate to find the hourly wage in 9 more years:
A = $6.90 * \((1 + 0.0883)^9\)
A = $23.60 (rounded to the nearest cent)
Therefore, the hourly wage of the automobile plant workers in 9 more years, if their wages continue to grow exponentially at the same rate, would be $23.60 per hour.
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The 7 letters of the word FLORIDA are placed in a bag. One letter is picked from the bag at random. Which event has the greatest likelihood of occuring? O A. The letter that is picked is a vowel O B. The letter that is picked is F O C. The letter that is picked is not D D. The letter that is picked is not a vowel
Answer:
d
Step-by-step explanation:
yes
Answer:
C.The letter that is picked is not D
Step-by-step explanation:
A= 3/7
B= 2/7
C= 6/7
D= 4/7
The answer is c because it is the highest fraction aka. highest probability
Hope this helps :)
It’s a written I just took the test
Um... is there a question?
Assume AABC
ALMN. If AB = 41,
MN = 38, and LN = 25, what is the length
of AC?
1 Assume AFGH = APQR if FH = 3
QR = 4.5, what is the length of
FG:
, and
PQ
The missing lengths of the sides of the congruent triangles described are:
AC = 25 units.
PQ = 3 units.
What is the Side Lengths of Congruent Triangles?The corresponding side lengths of any two or more triangles that are congruent to each other are always equal in measure. That is, the three sides of one triangle have lengths that are equal to the corresponding three sides of the other triangle, if both triangles are congruent triangles.
We are told that triangles ABC and LMN are congruent to each other, therefore:
AB = LM = 41 units [corresponding sides]
AC = LN = 25 units [corresponding sides]
BC = MN = 38 units [corresponding sides].
Therefore, the length of AC is 25 units.
Also, it is assumed that triangles FGH and PQR are congruent triangles, therefore:
FG = PQ = 3 units [corresponding sides]
GH = QR = 4.5 units [corresponding sides]
Therefore, the length of PQ is 3 units.
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I need help with this number 9 pls
Answer:
angle B = 127.5 degrees
angle D = 127.5 degrees
Step-by-step explanation:
The above figure is of a kite.
the non-vertex angles( I. e angle B and angle D) are congruent to each other in a kite.
Let angle B be x.
therefore, angle D is also x. ......(as they are congruent to each other)
The sum of all the angles in a quadrilateral is 360 degrees.
therefore,
65 + 40 + x + x = 360
105 + 2x = 360
2x = 360 - 105
2x = 255
x = 255/2
x = 127.5
therefore, angle B and Angle D are 127.5 degrees each.
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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Which of the following best describes the solution of the system of equations below?
Answer:
D
Step-by-step explanation:
-8x + y = -3..... (equ 1)
9x - y = 3.....(equ2)
y = 8x - 3
-y = -9x + 3(divide both sides by -1*)
hence ..y = 9x - 3
then write y = y in terms of x
which will give you 8x - 3 = 9x - 3
and solve for x which will be N/A
Which expression is equivalent to (32−−√5)13 ?
I know this is where the question is but the answer is 3 and 2/15
Answer:
the given expression is equivalent to the \(3 \frac{2}{15}\)
Step-by-step explanation:
The computation is shown below:
\(3^2 \frac{1}{5} : 3 \frac{2}{5} \\\\(3\frac{2}{5})^\frac{1}{3} \\\)
Now applied the exponent rule i.e. presented below:
\((a^b)^c = a^{bc}\)
\(= 3 \frac{2}{5} \times \frac{1}{3} \\\\\frac{2}{5} \times \frac{1}{3} \\\\= \frac{2}{15}\)
\(3 \frac{2}{15}\)
Hence, the given expression is equivalent to the \(3 \frac{2}{15}\)
QS and TV are parallel lines.What angles are alternate exterior angles?Options:a)
Question:
QS and TV are parallel lines.
What angles are alternate exterior angles?
Options:
a) b) c) d)
Solution:
Remember that the alternate exterior angles are the exterior angles found on either side of the secant. Then, in our case we have that the alternate exterior angles are:
QRP and SRP
DEFINE OPPOSITE AND HYPOTENUSE IN SIMPLE SHORT TERMS. WILL BRAINLIEST!!!!!!!
Hi there please help me
On question two I’m not understanding why they put the brackets in when there was no brackets in the equation they gave me to solve
Answer/Step-by-step explanation:
When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.
Instead of ((-2+5)x4), it would be [(-2+5)x4]
It does not affect the answer
solve for a: 60a - 80a ≥ -64 -92
Answer:
a≤39/5
Step-by-step explanation:
60a - 80a ≥ -64 -92
-20a≥-156
a≤156/20
a≤39/5
Find the volume of the sphere:
A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters
Work Shown:
r = 6 = radius
V = volume of a sphere of radius r
V = (4/3)*pi*r^3
V = (4/3)*pi*6^3
V = 904.77868423386
V = 904.8
I used my calculator's stored version of pi (instead of something like pi = 3.14)
The units "cubic meters" can be abbreviated to m^3 or \(m^3\)
The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.
The volume of a sphere can be calculated using the formula:
V = \(4/3 * \pi * r^3\),
Where V is the volume and r is the radius of the sphere.
\(\pi\) = 3.14
The radius of the sphere (r) = 6m
Plugging in the given radius of 6m into the formula, we get:
V = (4/3) * \(\pi\) * (6^3)
V = 1.333 * \(\pi\) * 216
V = 1.333 * 3.14 * 216
V = 4.1866 * 216
V = 904.8 cubic meters
Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8 cubic meters.
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a square picture is mounted in a frame 1 cm wide. the area of the picture 2/3 the total area find the length of a side of the picture
The length of a side of the picture is 3.39 centimeters. The area of a frame is calculated by multiplying the width of the frame by the perimeter of the picture.
Let x be the length of a side of the picture. The area of the picture is x². The area of the frame is 2x. The total area is x² + 2x.
We are given that the area of the picture is 2/3 of the total area. This means that x² = 2/3(x² + 2x).
Solving for x, we get x = 3.39 centimeters.
Here are some additional explanations:
The area of a square is calculated by multiplying the length of one side by itself.
The area of a frame is calculated by multiplying the width of the frame by the perimeter of the picture.The total area is calculated by adding the area of the picture and the area of the frame.In this problem, we are given that the area of the picture is 2/3 of the total area. This means that the area of the frame is 1/3 of the total area.Solving for the length of a side of the picture, we get x = 3.39 centimeters.To know more about length click here
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If an investigator reports that main effects exist for both factors, this implies
that an interaction probably is present.
that an interaction probably isn't present.
that an interaction could not possibly be present.
nothing whatsoever about the interaction.
If an investigator reports that main effects exist for both factors, it implies nothing whatsoever about the presence or absence of an interaction.
The presence of main effects for both factors indicates that each factor individually has a significant impact on the outcome variable. A main effect refers to the effect of a single independent variable while ignoring the other independent variables.
However, the presence of main effects does not provide any information about how the factors interact with each other.
An interaction occurs when the effect of one independent variable on the outcome variable depends on the level of another independent variable.
In other words, the combined effect of the factors is different from the sum of their individual effects.
To determine if an interaction is present, it is necessary to analyze the data and specifically test for the interaction effect.
This can be done through various statistical techniques, such as conducting an analysis of variance (ANOVA) with interaction terms or fitting a regression model with interaction terms and examining their significance.
Therefore, reporting main effects for both factors does not imply anything about the presence or absence of an interaction. Additional analysis and testing are required to draw conclusions about the existence of an interaction effect.
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The LCM of 4 and 7 is __.
Numerical Answers Expected!
Answer for Blank 1:

Answer:
28
Step-by-step explanation:
its ans may be 28 hope you will know
Answer:
28
Step-by-step explanation:
find the value of x in this image
Answer:
x = 39
Step-by-step explanation:
Its an isosceles triangle, so,
angle A = angle C = 2x
Sum of angles in a triangle = 180, which is why when you add x - 15 , 2x and 2x its equal to 180.
Now you have a linear equation. Solve it to find the value of x.
What is the value of x.
Answer:
19.8
Step-by-step explanation:
true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
if 18 bags of popcorn is $13.45 then how much money is only 1 bag of popcorn?
Help ASAP!!! No links please!!! ^•^
These tables of values represent continuous functions. For which function will the y-values be the greatest for very values of x?!?!?!?!? ;) The answer selection is in pictures.
Answer:
If im understanding this correctly it should be C
Step-by-step explanation:
They said the wanted the x to be a number and then y to be the highest possible number it just means that whichever one has the biggest y section then thats it.
Jorge’s family has visited 38 of the 50 states in America. What fraction of the states
have they visited?
To find the fraction of the states that Jorge's family has visited, we can use the formula:
visited states / total states
In this case, Jorge's family has visited 38 states out of a total of 50 states, so the fraction of states they have visited is:
38 / 50
You can simplify this fraction by dividing both the numerator and denominator by the greatest common divisor of 38 and 50 which is 2, so the fraction is
19/25
So, Jorge's family has visited 19/25 of the states in America.
Jorge's family has visited 19/25 of the states in America.
What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
In this case, Jorge's family has visited 38 states out of a total of 50 states, so the fraction of states they have visited is:
38 / 50
You can simplify this fraction by dividing both the numerator and denominator by the greatest common divisor of 38 and 50 which is 2, so the fraction is
19/25
19 out of the 25 American states have been visited by the Jorge family.
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AABC is shown below. GE = -3y + 18 and GF = 5y + 2.
E
B
F
Find the measure of the radius of the inscribed circle of AABC.
Radius =
Answer:
Radius = 12
Step-by-step explanation:
For an inscribed circle of a triangle ABC,
GE = GF = GD = radius of the inscribed circle
Therefore, (-3y + 18) = (5y + 2)
-3y + 18 - 5y = 5y + 2 - 5y
-8y + 18 = 2
-8y + 18 - 18 = 2 - 18
-8y = -16
8y = 16
\(\frac{8y}{8}=\frac{16}{8}\)
y = 2
Therefore, GE = -3y + 18
= -3(2) + 18
= -6 + 18
= 12
Radius of the inscribed circle = GE = 12 units
The measure of the radius of the inscribed circle is 12 units
From the given diagram, GE = GF
Given the following parameters:
GE = -3y + 18 and:
GF = 5y + 2
Equating both expressions
-3y + 18 = 5y + 2
-3y - 5y = 2 - 18
-8y = -16
y = 16/8
y = 2
The measure of the radius of the inscribed circle is GE
GE = -3y + 18
GE = -3(2) + 18
GE = -6 + 18
GE = 12 units
Hence the measure of the radius of the inscribed circle is 12 units
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In the figure, m<2=64. What is the measure of <1?
Answer:
b
Step-by-step explanation:
I had that question before