content loaded
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Answer Number of complaints 012 3 4 5 Probability 0.13 0.21 0.44 0.070. 0.06 0.09Save your answer What is the variance of complaints received per week? Please round your answer to the nearest hundredth Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
200 word answer
Answers
To calculate the variance of complaints received per week, we first need to find the mean or expected value of the number of complaints. This can be calculated by multiplying the number of complaints in each category by its corresponding probability, and then adding up the results.
Expected value = (0 x 0.13) + (1 x 0.21) + (2 x 0.44) + (3 x 0.07) + (4 x 0.06) + (5 x 0.09) = 2.54
Next, we can use the following formula to calculate the variance:
Variance = Σ[(x - µ)²P(x)]
where Σ = sum, x = number of complaints, µ = expected value, and P(x) = probability.
Using this formula and the probabilities given in the table, we get:
Variance = (0 - 2.54)²(0.13) + (1 - 2.54)²(0.21) + (2 - 2.54)²(0.44) + (3 - 2.54)²(0.07) + (4 - 2.54)²(0.06) + (5 - 2.54)²(0.09) = 1.4856
Rounding this answer to the nearest hundredth, we get a variance of 1.49.
In conclusion, the variance of complaints received per week is 1.49, meaning that the number of complaints is quite spread out around the mean, which is 2.54. This could indicate that the department store has some variability in its service quality, as the number of complaints can vary widely from week to week.
Related Questions
Enter the value of n for the equation
Answers
Answer:
n = 14
Step-by-step explanation:
When you are multiplying exponents with the same base, you add them.
11 + 3 = 14.
Therefore, n = 14
What is the northerly Component of a wind blowing at 15ms from the South East?
Answers
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
For more such questions on northerly component
https://brainly.com/question/2926396
#SPJ8
Help me pls pls pls
Answers
Answer / Step-by-step explanation:
4 * (2 + 3) - 12
To get our final answer, we need to follow PEMDAS, which is :
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.
(2 + 3) fits this description, therefore we add them together :
4 * 5 - 12
There are no more parenthesis and also no more exponents, so move onto multiplying.
4 * 5 - 12
20 - 12
Now subtract :
8
Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
Complete the inequality below to describe the
range of the graph shown.
Range:
≤y <5
DONE
Intro
-5
5
y
5
X
Answers
Answer:
\(Domain: \;\boxed{-4 } < x \le 4\\\\Ramge: \boxed{-2} \le y < 5\)
Step-by-step explanation:
Domain
Domain is the set of all valid x values for the function
Looking at the graph we see that the function x values go from x- 4 to x = +4.
Note the unfilled circle at x = -4, y = 5. This means that this point is not included in any set of values that we intend tp find. It will represent a < or > inequality.
A filled circle means that value is included
So the domain of the function is -4 < x ≤ 4 (note that -4 is not included in the domain
Range
The range is the set of all y values for the entire domain. Basically it is defined using the min and max values that y can take
The minimum y value occurs at x = 4 and y is -2 (this is included because of the filled circle)
The max value occurs at x = -4 and the value of y here is 5 (5 is not included)
Therefore the range is -2 ≤ y < 5
Please helppp!!!!!
Find x
Answers
Answer:
x = 35
Step-by-step explanation:
2x+10 + 2x + x-5 = 180
5x + 5 = 180
5x = 175
x = 35
the Martinez family travels at an average rate of 65 miles per hour in the Anderson family travels at an average rate of 70 miles per hour how far does each Family Travel after 7 hours
Answers
455 miles and 490miles
Explanation
Step 1
let
time=7 hours
\(\text{rate}_{martInez}=65\text{ }\frac{mi}{h}\)to find the distance, multiply the rate by the time
\(\begin{gathered} \text{distance= rate}\cdot\text{ time} \\ dis\tan ce_1=65\frac{mi}{h}\cdot7\text{ hours} \\ dis\tan ce_2=455\text{ miles} \end{gathered}\)distance of Martinez family is 455 miles
Step 2
Let
time= 7 hours
\(\text{rate}_{\text{anderson}}=70\text{ }\frac{mi}{h}\)find the distance,
\(\begin{gathered} \text{distance= rate}\cdot\text{ time} \\ \text{distance}_2=70\frac{mi}{h}\cdot7\text{ hours} \\ \text{distance}_2=490\text{ miles} \end{gathered}\)I hope this helps you
Which equation represents the graphed function?
Answers
The linear function graphed is defined as follows:
y = 3x/2 - 3.
(third option).
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when the graph crosses the y-axis.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = -3.
When x increases by 2, y increases by 3, hence the slope m is given as follows:
m = 3/2.
Then the function is defined as follows:
y = 3x/2 - 3.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Picture included!
Find the unknowns in the graph below:
Answers
All the values of x, y and z are,
z = 12.99
y = 7.01
x = 28.3 degree
We have to given that;
In a triangle,
Two angles are, 61.7 degree and 90 degree
And, One side is, 14.76.
Now, We can formulate;
sin 61.7° = Perpendicular / Hypotenuse
sin 61.7° = z / 14.76
0.88 = z / 14.76
z = 0.88 x 14.76
z = 12.99
And, By Pythagoras theorem we get;
14.76² = z² + y²
14.76² = 12.99² + y²
217.85 = 168.74 + y²
y² = 217.85 - 168.74
y² = 49.1
y = 7.01
And, By sum of all the angles in triangle, we get;
x + 61.7 + 90 = 180
x + 151.7 = 180
x = 180 - 151.7
x = 28.3 degree
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
What is 10x100000
Someone Please help me
I'm a Crazy Kid
Answers
Answer: 1000000
Step-by-step explanation:
Answer:
answer 1000000
have a nice day
the sum of 36 and 3c
Answers
Answer:
Step-by-step explanation:
just add 36 and 3
SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP
Answers
Answer:
93.5
Step-by-step explanation:
Can sameone help me please
Answers
X intercept: (-2,0)
Y intercept: (0,5)
Have a wonderful and blessed day!
Answer:
The x-intercept is 2.
The y-intercept is 5.
Step-by-step explanation:
The x-intercept is basically finding what the value of x when y is 0; y-intercept is vise-versa.
The format it is currently in is not in y=mx+b form which makes you unable to put on a graph...HOWEVER, YOU ACTUALLY CAN!
You goal for these type of questions is to isolate y by itself.
\(-20x+8y=40\\8y=20x+40\\y=2.5x+5\)
Your equation has been converted into y=mx+b which now can be used to easily find the x and y intercepts.
You can either look at a graph and find the x and y intercepts or do it algebraically.
Since, "x-intercept is basically finding what the value of x when y is 0", we plug in y with 0.
Solve for X-Intercept:
\(0=2.5x+5\\-5=2.5x\\-2=x\)
X-Intercept is -2
Solve for Y-intercept:
\(y=2.5(0)+5\\y=5\)
Y-Intercept is 5
4x+3y=23 x-5y=0 using substitution
Answers
Answer:
{x,y} = {115/17,-23/17}
Step-by-step explanation:
I believe its true.
6) What time will it be 17 hours and 53 minutes before 4:37 a.m.? Military time
Answers
Answer:
17:53=5:53pm
Step-by-step explanation:
Please find value of x
Answers
Answer:
x=140⁰
Step-by-step explanation:
80+50=130
180-130=50
50+30=80
360-80=
280/2
=140
Using knowledge that a straight line adds up to 180 degrees, to find the missing angle between 80 and 50 would be 50. ( 80+50 gives you 130. 180-130 gives you 50)
Now do 50 + 30 as those are the only know angles in the quadrilateral which gives you 80. Quadrilaterals add up to 360 so do 360-80 to find out the value of x + x . This give you 280. Now you divide 280 by 2 to give you 140. That how you work it out.
Hope this really helps.
What is the scale of a map if 1cm=20km
Answers
Answer:
50 km
Step-by-step explanation:
So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by
2.5
1
. Then, 20 x 2.5=50. So the answer is 50 km
Which raito is less than 7/15?
A. 9/15
B. 2/5
C. 3/5
D. 24/45
Answers
Answer:
⅖
Step-by-step explanation:
Simply convert them to decimals...
7/15=0.466666...
9/15=0.6
⅖=0.4
⅗=0.6
24/45=0.53333...
Hope this helps.
hs
Use Order of Operations
to solve.
43 – (24 = 6) + 8
Answers
Answer:
21
Step-by-step explanation:
43-(24+6)+8
43-30+8
13+8
21
PLZZZ HELP ME ITS DUE TODAY AT 11:59, HELPPPP
1: In one year, Jerry lost $1,620 in the stock market. What was the average change in his stocks each months.
2: Devon lost 3 pounds each month for 7 months. What was the net change in Devons weight after the 7 months.
3: In a game, your score starts at 0. You lose four points three times in a row. You then gain two points. What is your score after those four turns?
Answers
Answer:
1) . Divide that number by 12 months
1620/12 = 135
2) 3 x 7 = 21
21 pounds lost
3) 0 - 4 - 4 - 4 + 2 = -10 points
hope this helps :)
Step-by-step explanation:
Answer:
1. 135
2. 21
3.-10
Step-by-step explanation:
Using log evaluate 3^x=10
Answers
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
for such more question on equation
https://brainly.com/question/17482667
#SPJ8
Answer for brainliest
Answers
If this is what your looking for, the answer may be:
-4y + 12
Hope this helps!
please answer 5-7 i need it in 5 minutes please i’ll do anything
Answers
Answer:don’t understand number 5??
Step-by-step explanation:
Geometry question plz help
Answers
Answer:
I think A
Step-by-step explanation:
What is the bagel’s circumference, in inches?
Answers
The circumference of the bagel is 4.71 inches
How to determine the bagel’s circumference?
The circumference is the distance around the edge of a circle. It is the length of the boundary that encloses the circle.
The bagel’s circumference can be calculated using the formula:
C = 2πr
where r is the radius of the bagel.
Substituting r = 0.75 inches in the formula, we have:
C = 2 * 22/7 * 0.75
C = 4.71 inches
Learn more about circumference on:
https://brainly.com/question/12823137
#SPJ1
Complete Question
If the radius of the bagel's hole is 0.75 inches, what is the hole's circumference, in inches?
A rectangular room is 1.3 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
Answers
The dimensions of the room are approximately 5.87 meters by 7.63 meters.
Let's assume the width of the room is "x" meters.
According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.
Perimeter = 2(length + width)
Substituting the values we know:
27 = 2(1.3x + x)
Simplifying:
27 = 2(2.3x)
27 = 4.6x
Dividing both sides by 4.6:
x = 27 / 4.6
x ≈ 5.87
The width of the room is approximately 5.87 meters.
To find the length, we can multiply the width by 1.3:
Length = 1.3 * 5.87 ≈ 7.63
The length of the room is approximately 7.63 meters.
Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.
For more such questions dimensions,click on
https://brainly.com/question/28107004
#SPJ8
A couch at a department store costs $490.00. What is the total cost of the couch after a 7% sales tax is applied? Responses
Answers
Answer:
$524.30
Step-by-step explanation:
490x107%=524.30
Select all of the segments that must be 9 centimeters long.
Answers
Given:
KM=12 cm.
KO=1+KL
\(KL=\frac{1}{3}LM\)Since KM=12 cm, we can write
\(\begin{gathered} KM=KL+LM \\ KM=\frac{1}{3}LM+LM \\ 12\text{ =}\frac{4}{3}LM \\ LM=\frac{12\times3}{4} \\ LM=9 \end{gathered}\)Therefore, KL can be calculated as,
\(\begin{gathered} KL=\frac{1}{3}LM \\ =\frac{1}{3}\times9 \\ =3 \end{gathered}\)Now, KO can be calculated as,
\(\begin{gathered} KO=1+KL \\ =1+3 \\ =4 \end{gathered}\)Now, using geometric property,
\(KM\times KL=KN\times KO\)Putting the values in the above equation, KN can be calculated as,
\(\begin{gathered} 12\times3=KN\times4 \\ KN=\frac{12\times3}{4} \\ KN=9 \end{gathered}\)Now, ON can be calculated as,
\(\begin{gathered} ON=KN-KO \\ =9-4 \\ =5 \end{gathered}\)Since LM=9 is a chord longer than MN in the given circle, the length of MN is less than 9.
Therefore, the segments with length 9 are LM and KN.
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
Answers
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
To know more about rectangular prism follow
https://brainly.com/question/30799424
#SPJ1
What scale factor was used to produce figure 1 from figure 2?
two triangles labeled figure 1 and figure 2, where figure 1 has legs that are 3 units long and figure 2 has legs that are 6 units long
one half
2
one sixth
6
Answers
Answer:
Since the legs of figure 2 are twice as long as those of figure 1, the scale factor to produce figure 1 from figure 2 would be 1/2. This means that every length in figure 1 is half the length of the corresponding length in figure 2.
Answer:
Option A. 1/2
Step-by-step explanation:
100 on the test!
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. 5/7÷ 5/3
Answers
Answer:
3/7
Step-by-step explanation:
So, we have to flip 5/3 to 3/5
Then we multiply.
5/7 ⋅ 3/5
15/35
Simplify.
3/7
Hope I helped :)
Please consider Brainliest :)