The utilization rate is 83.33
The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event.
An average of 10 cars per hour are expected to arrive according to a Poisson distribution. They will be served at an average rate of 12 cars per hour, with exponential service times,
Then, the utilization rate is 83.33.
Learn more about poisson distribution here https://brainly.com/question/9123296
#SPJ4
In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfall, of 1 inch. Construct a function that models this behavior. During what period is there more than 10 inches of snowfall?
770 packed lunches are shared equally between 35 classes. how many children in each class receive a packed lunch?
Identify the dependent variable in the following research description: As a researcher, I examine the effect of different clothing materials on sleep quality In this experiment, participants are randomly assigned to groups. One group of participants wears organic cotton shirts before they go to bed. Another group wears organic linen shirts before they go to bed. Sleep quality is measured. a. participants.
b. sleep quality.
c. organic cotton shirts and organic linen shirts. d. different clothing materials.
The dependent variable in the given research description is sleep quality.
Given variables :1) participants, 2) sleep quality, 3) organic cotton shirts and organic linen shirts, 4) different clothing materials.
We have to identify the dependent variable among all the variables.
Dependent variable is a variable whose quantity depends on other variables.
Independent variable is a variable whose value does not depend on other variables.
In the given research there are four variables:
1) participants,
2) sleep quality,
3) organic cotton shirts and organic linen shirts,
4) different clothing materials.
Among all these sleep quality is a dependent variable because it depends on the quality of clothes whether they or organic shirts or organic linen shirts.
It may be possible that some people get quality sleep in organic cotton shirts and some may get in organic linen shirts.
Hence the dependent variable is sleep quality.
Learn more about dependent variables at https://brainly.com/question/25223322
#SPJ4
Which of the following properties completes the proof?
A.Subtraction Property of Equality
B.Division Property of Equality
C.Addition Property of Equality
D.Multiplication Property of Equality
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that x + 8 = 15
Hence:
x + 8 - 8 = 15 - 8 (subtraction property of inequality)
x = 7
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
3. A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of:
(i) exactly 3 girls ?
(ii) atleast 3 girls ?
(iii) atmost 3 girls ?
Answer:
i 4 boys
ii 3 boys
III 5 boys
Find the zeros of the function f(x)=x^2+9.9x+18. Round values to the nearest hundredth (if necessary).
A quadratic equation in the form of ax²+bx+c. The zeroes of the polynomial are -2.4 and -7.5.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c. The Root of the quadratic equation are given as,
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The zeroes of the polynomial are:
f(x)=x² + 9.9x + 18
0 = x² + 9.9x + 18
[tex]x= \dfrac{-9.9\pm \sqrt{(9.9)^2-4(1)(18)}}{2(1)}\\\\[/tex]
x = -2.4, -7.5
Hence, the zeroes of the polynomial are -2.4 and -7.5.
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
#SPJ1
Complete the recursive formula of the arithmetic sequence 13, 6, -1, -8,...13,6,−1,−8,...13, comma, 6, comma, minus, 1, comma, minus, 8, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
The recursive formula of the arithmetic sequence 13, 6, -1, -8,... is a(n) = 20 - 7n.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have an arithmetic sequence:
13, 6, -1, -8,...
The first term:
a = 13
The common difference:
d = 6 - 13 = -7
The recursive formula of the arithmetic sequence:
a(n) = a + (n - 1)d
a(n) = 13 + (n - 1)(-7)
a(n) = 20 - 7n
Thus, the recursive formula of the arithmetic sequence 13, 6, -1, -8,... is a(n) = 20 - 7n.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
Which represents where f(x) = g(x)?
The equation represents the intersections. The correct option is A:
f(2) = g(2) = 0f(0) = g(0) = 4.Which represents where f(x) = g(x)?
If we have two functions:
y = f(x) and y = g(x), the equation:
f(x) = g(x) gives the value of x such that the two functions have the same output. So, that equation gives the intersection points between the two graphs.
By looking at the graph, we can see that we have two intersections, one at:
(2, 0) and other at (0, 4).
This means that:
f(2) = g(2) = 0f(0) = g(0) = 4.So the correct option is the first one.
If you want to learn more about intersections:
https://brainly.com/question/11337174
#SPJ1
Which statement best explains whether △ABC is similar to △DEF?
a. The triangles are similar because ∠B≅∠E.
b. The triangles are not similar because AB≠DE.
c. The triangles are similar because BCEF=ACDF.
d. There is not enough information to determine whether the triangles are similar.
The statement which best describes the similarity of the two triangles is; Choice D; There is not enough information to determine whether the triangles are similar.
Which statement best explains whether △ABC is similar to △DEF?The two triangles given in the task content are expected to be assessed to determine if they are similar.
From the concept of congruence in triangles, two triangles are congruent only if all 3 angle measures in one are similar to that in the other, or if the ratio of all corresponding pairs of sides are equal.
Hence, since neither of the conditions is satisfied by the information given, it follows that Choice D is correct.
Read more on congruent triangles;
https://brainly.com/question/1675117
#SPJ1
Which linear inequality is graphed with y > –x – 2 to create the given solution set?
y > x + 1
y < x – 1
y > x – 1
y < x + 1
The Linear inequality that is graphed with y > –x – 2 to create the given solution set is; y < x + 1
How to interpret Inequality Graphs?From the attached graph of inequalities, we see that one of the lines has its' y - intercept as -2 with a slope of -1. Thus, the equation in slope intercept form is; y = -x - 2.
The shaded region will have the inequality; y > -x - 2.
The other line has its' y - intercept as 1 and a slope of 1.
Thus, the equation of line is; y = x + 1.
The shaded part is above the line and as such the inequality region is represented by the inequality y < x + 1.
Read more about Inequality Graphs at; https://brainly.com/question/11234618
#SPJ1
Answer:
D
Step-by-step explanation:
find x in the 45 45 90 tri!
Step-by-step explanation:
simple answer mate..
under root 2 is right because angle are same.. option d
Answer:
√2
Step-by-step explanation:
Angle ( θ ) = 45
Hypotenuse side = 2
Opposite side = x
Formula : -
sin θ = Opposite side / Hypotenuse side
Note :
The value of sin 45 = 1/√2
sin 45 = x/2
1/√2 = x/2
Cross multiply,
x*√2 = 2*1
x√2 = 2
2 can be simplified as √2 * √2
x√2 = √2*√2
Divide √2 on both sides,
x = √2
When drawing the stretchout arc for the pattern of a cone fitting, the radius should be equal to _____.
When drawing the stretch-out arc for the pattern of a cone fitting, the radius should be equal to the true length of the side.
The 3 tactics typically used in developing patterns are parallel-line, radial-line, and triangular improvement.
To make such objects, a drafter has to first draw them as a pattern or pattern improvement. A pattern improvement additionally known as a stretch out or simply an improvement is a format of an object made on a single flat aircraft.
In radial traces, we develop styles for shapes that have a taper, all element lines (bends) should radiate returned to a not unusual factor, a radius point. We want matters for this procedure to paintings: A radius factor is in the center (right cone). A radius point is inside an inexpensive distance.
Learn more about cone fitting here: https://brainly.com/question/12753579
#SPJ4
Find the y-intercept for the parabola defined by
this equation:
y=-x² - 2x +3
Separate the values with a comma.
Enter the correct answer.
DONE
Step-by-step explanation:
the y intercept is found by equating X to 0
hence, y = 3
answer is: (0,3)
Watch help video
A middle school took all of its 6th grade students on a field trip to see a play. The
students filled 1219 seats, which was 53% of the total number of seats in the theater.
How many total seats were in the theater?
Answer:
2300
Step-by-step explanation:
53%=1219
100=X
X=[(1219)(100)]/53=2300
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
53% = 1219
100% = 2300
The total number of seats in the theater is 2300
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of seats filled by all the students = 1219
1219 is 53% of the total seats in the theater.
This means,
53% = 1219
Now,
Total number of seats in the theater = 100%
53% = 1219
Multiply 100/53 on both sides.
100/53 x 53% = 100/53 x 1219
100% = 2300
Thus,
The total number of seats in the theater is 2300
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
A coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00am to 7:30am. Suppose that the mean number of customers during this time window is 200. What is the probability that more than 210 people will pass in front of his store
The probability that more than 210 people will pass in front of his store is 0.2272.
In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.
We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.
This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.
To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).
P(X > 200) = 1 - P(X ≤ 210).
Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
The value of poissoncdf(200,210) = 0.77271.
Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.
Thus, the probability that more than 210 people will pass in front of his store is 0.2272.
Learn more about Poisson Distribution at
https://brainly.com/question/7879375
#SPJ4
Southland Weather March 9 Area High Temp. Low Temp. Precipitation (in inches) Downtown 65°F 53°F 0.45 0.63 Airport 62°F 50°F Woodland Hills 68°F 50°F 1.34 East Village 56°F 48°F 3.53 Ventura 62°F 49°F 2.57 Highland Park 64°F 55°F 0.84
5)What was the mean amount of precipitation (in inches) on March 9 for the areas listed the table? A. 0.65 B. 1.09 C. 1.56 D. 1.99
Using it's concept, the mean amount of precipitation (in inches) on March 9 for the areas listed the table was of:
C. 1.56.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
The observations given in the problem are:
0.45, 0.63, 1.34, 3.53, 2.57, 0.84.
Hence the mean is:
M = (0.45 + 0.63 + 1.34 + 3.53 + 2.57 + 0.84)/6 = 1.56.
Which means that option C is correct.
More can be learned about the mean of a data-set at https://brainly.com/question/20640860
#SPJ1
what is the measure of angle d1°
Answer:
40
Step-by-step explanation:
Is UVW=Xyz?if so, name the postulate that applies
By critically observing the two triangles, we can deduce that they: B. might not be congruent.
The properties of similar triangles.In Geometry, two triangles are said to be similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.
By critically observing the two triangles, we can logically deduce that the three angles of both triangles are congruent in accordance with AAA similarity postulate:
<U ≅ <X<V ≅ <Y <W ≅ <ZHowever, AAA isn't a congruence postulate and as such all similar triangles might not be congruent.
Read more on congruency here: brainly.com/question/11844452
#SPJ1
What is the value of x in the equation 0.2(x 1) 0.5x = –0.3(x – 4)? negative seven-halves –1 1 seven-halves
The value of the variable x equation 0.2x+0.2+0.5x=-0.3x+1.2 is x=1.
Given a linear equation 0.2x+0.2+0.5x=-0.3x+1.2
Equation is a combination between two or more variables which is usually expressed in equal to form. Equation of two variable looks like ax +by=c. It is solved to find the quantity of x.
Given equation is as under:
0.2x+0.2+0.5x=-0.3x+1.2
It is a linear equation and will have only 1 solution. Linear equation is a equation which is having a straight line graph.
Adding the coefficients of variable
0.7x+0.2=-0.3x+1.2
Take -0.3 to other side
0.7x+0.3x=1.2-0.2
Adding the coefficients of variables
x=1
Hence the value of x in the equation 0.2x+0.2+0.5x=-0.3x+1.2 is x=1.
Learn more about equation at https://brainly.com/question/2972832
#SPJ4
PLEASE HELP ME
6 x 6 x ? = 261
Answer:
7.25
Step-by-step explanation:
Simplify
36x = 261
Divide both sides by 36
x = 261/36
Simplify
x = 7.25
Hope this helps!
Answer:
7.25 or 7[tex]\frac{1\\}{4}[/tex]
Step-by-step explanation:
261 ÷ 6 ÷ 6 = 7.25
Given the following information: calculate the perimeter of triangle rst. assume rzx is similar to rst. rz=21, ry= 24, rx= 39, zy=9 and sw=18
If triangle RST and RZX are similar then the perimeter of triangle RZX is 150 units.
Given triangle RZX and RST are similar and RZ=28, RY=40,ZY=16 and SW=24.
In the similar triangles the ratio of sides are in proportion to the sides of other triangle.
The ratio of ZY to SW is 16:24 meaning it is 2:3. So all the sides of RST are 1.5 times as long as RZX.
RZ=28 so RS=28*1.5=42
RX=40 so RT=40*1.5=60
ZX=ZY+XY and since they are the of the same length , ZX=32 (ZY given)
Then ST=48
Perimeter of a triangle is the sum of sides of the triangle.
Perimeter of RST=RS+ST+RT
=42+60+48
=150
Hence the perimeter of triangle RST is 150 units.
Learn more about perimeter at https://brainly.com/question/19819849
#SPJ4
Question is incorrect as it should be as under:
Given the following information, calculate the perimeter of triangle RST. Assume triangle RZX is similar to RST. RZ=28, RY=40, ZY=16 and SW=24.
Figure should also be given.
Please help with this!!
Answer:
Step-by-step explanation:
Forming linear equations and solving:Cost = fixed rate + number of guests* cost per meal.
Let x be the number of guests.
a) Pin hall:
Fixed rate = $ 500
Cost per meal = $15
Cost = 500 + 15*x
[tex]\sf \boxed{\bf C = 500 + 15x}[/tex]
Bloom place:
Fixed rate = $350
Cost per meal = $18
[tex]\sf \boxed{\bf C = 350 +18x}[/tex]
b) Given the charges are same at both halls.
350 + 18x = 500 + 15x
18x = 500 + 15x - 350
18x = 150 + 15x
18x -15x = 150
3x = 150
x = 150 ÷ 3
x = 50
When the number of guests is 50, the cost is same at both the halls
Hello!
Forming the equations :
y = mx + b
m = rate per hour
b = fixed charge
[tex]\fbox {y = 15x + 500}[/tex]
[tex]\fbox {y = 18x + 350}[/tex]
Solving for number of guests at which cost is the same :
15x + 500 = 18x + 350
3x = 150
x = 25 guests
The following confidence interval is obtained for a population proportion, p: (0.688, 0.724). Use these confidence interval limits to find the point estimate, p
The point estimation based on the given interval limits is 0.706.
What is a point estimate?The use of sample data to compute a single value that will serve as a "best guess" or "best estimate" of an unknown population characteristic is referred to as point estimation.
The point estimation based on the given interval limits is,
Point Estimate = (0.688+0.724)/2 = 0.706
Hence, The point estimation based on the given interval limits is 0.706.
Learn more about Point Estimate:
https://brainly.com/question/17514579
#SPJ1
Joseph noticed that a fork in the road created 3 angles. If two angles are as shown (both 160) , what is the measure of angle x?
The measure of angle x that is formed around a point is: 145°.
What is the Angle Around a Point?The measure of the angle around a point equals 360 degrees.
The the angles formed by the fork in the road equals 360 degrees.
Therefore, we would have the following equation:
x + 165 + 50 = 360
x + 215 = 360
Subtract both sides by 215
x = 360 - 215
x = 145°
Learn more about angles at a point on:
https://brainly.com/question/25716982
#SPJ1
2≤-4-3x<11 what’s the inequality for x?
The solution to the given inequality will be x ≤ -2 and x > -5
Inequality expressionsInequality are expressions not separated by an equal sign
Given the expression below
2≤-4-3x<11
Split
2≤-4-3x and -4-3x<11
Solve both inequalities
-4-3x≥2
-3x ≥ 6
x ≤ -2
Similarly
-4-3x<11
-3x < 15
x > -5
The solution to the given inequality will be x ≤ -2 and x > -5
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ!1
MO, MN, and ON are the midsegments of △JKL.
Triangle M N O is inside triangle J K L. Points M, N, and O are the midpoints of sides J K, J L, and K L.
What is the perimeter of △JKL?
6
9.5
11.5
19
Applying the midsegment theorem, the perimeter of triangle JKL is: D. 19.
What is the Perimeter of a Triangle?The perimeter of triangle JKL = JK + JL + KL
Find the lengths of JK, JL, and KL using the triangle midsegment theorem.
JK = 2(3.5) = 7 units
JL = 2(4) = 8 units
KL = 2(2) = 4 units.
Perimeter of triangle JKL = 7 + 8 + 4
Perimeter of triangle JKL = 19 units.
Learn more about the perimeter of triangle on:
https://brainly.com/question/24382052
#SPJ1
Answer: D. 19
Step-by-step explanation: Answer is correct on Edge. Trust Me! :)
MO, MN, and ON are the midsegments of △JKL.
Triangle M N O is inside triangle J K L. Points M, N, and O are the midpoints of sides J K, J L, and K L.
Q: What is the perimeter of △JKL?
A: D. 19
Which graph represents the function f(x)=8 1/3 x?
The graph that represents the exponential function [tex]y = 8\left(\frac{1}{3}\right)^x[/tex] is given at the end of the answer.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value. that is, y when x = 0.b is the rate of change.In this problem, the function is:
[tex]y = 8\left(\frac{1}{3}\right)^x[/tex]
It has an initial value of 8 and rate of change of 1/3, as shown in the graph given at the end of the answer.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Someone please help me out Suppose f(x) = x². What is the graph of g(x)=f(x)?
O A.
OB.
O C.
-5
-5
-5
O D.
D. ++
-5
5-
5
5
-5+
10
5
+5+
5-
-5-
y
ti
+5
01-
911
K
Answer: B
Step-by-step explanation:
complete the square to rewrite y=x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimium and give its coordinates
The vertex form of the Quadratic equation is y = [tex](x-3)^{2}[/tex] +5. The vertex is (3, 5), which is a maximum point.
what is a quadratic equation?A quadratic equation is an algebraic equation with the power of its variable 2.
it can be written in standard form which is called vertex form or in the general form.
Analysis:
y = [tex]x^{2}[/tex] -6x +14
y = [tex]x^{2}[/tex] -6x +9 +5
Simplifying this perfect square expression y = [tex]x^{2}[/tex] -6x +9
y = [tex]x^{2}[/tex] -3x -3x +9
y = x(x-3) -3(x-3) + 5
y = (x-3)(x-3) +5
y = [tex](x-3)^{2}[/tex] + 5
In conclusion, the Vertex form of the equation is y = [tex](x-3)^{2}[/tex] + 5
Learn more about quadratic equation: brainly.com/question/1214333
#SPJ1
2,104.50 divided by 122
Answer:
17.25
Step-by-step explanation: