Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below.
Find the coefficient of variation for each of the two sets of data, then compare the variation.
Bank A (single line): 6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8Bank B (individual lines): 4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7(Round to one decimal place as needed.)
Answer:
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
Step-by-step explanation:
Bank A
6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{6.6+6.7+6.7+6.8+7.0+7.3+7.5+7.7+7.8+ 7.8}{10}\\Mean =7.19[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=0.461[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{0.461}{7.19} \times 100=6.4[/tex]
Bank B
4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{4.0+5.5+5.8+6.2+6.6+ 7.6+ 7.7+8.5+9.4+9.7}{10}\\Mean =7.1[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=1.718[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{1.718}{7.1} \times 100=24.2[/tex]
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)
Math plz help
Geometry
Answer:
Okay
Step-by-step explanation:
Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.
So,
12x° + 8x° = 180°
20x°= 180°
x°= 180/20
x°= 9°
Hope you understand. Thank you
How can I estimate 26×22
Answer:
Hi if you are simply looking to estimate 26x22 then you could round each number to get 30x20 and that would make 600 your estimate! Hope this helps!
slope 1/4 and y intercept is -5
point slope
Answer:
uhhyvygygyggyhygybybybyvtvtv
What is the solution to the equation 1/2 x + 3 = 2/3 x + 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{1}{2} x + 3 = \frac{2}{3} x + 1 \\ [/tex]
Subtract sides 3
[tex] \frac{1}{2} x + 3 - 3 = \frac{2}{3} x + 1 - 3 \\ [/tex]
[tex] \frac{1}{2} x = \frac{2}{3} x - 2 \\ [/tex]
Multiply sides by 6
[tex]6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2) \\ [/tex]
[tex]3x = 4x - 12[/tex]
Subtract sides 4x
[tex] - 4x + 3x = - 4x + 4x - 12[/tex]
[tex] - x = - 12[/tex]
Negatives simplifies
[tex]x = 12[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
CHECK :
[tex] \frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1 \\ [/tex]
[tex]6 + 3 = 8 + 1[/tex]
[tex]9 = 9[/tex]
Thus the solution is correct .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52.
.Item. .Price Per Pound.
.Fruit Chews. - $4.70
.Jelly Beans. - $2.35
.Chocolate. - $3.50
.If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answer : 11.80$
Step-by-step explanation:
He spends 8.70$ on Fruit chews and..
4.50 $ on jelly beans
add them up then subtract them by the amount of money he already has
BRAINLIST ???
Answer:
He had 10.85 left
Step-by-step explanation:
Fruit chews 4.7 x 1.6 = 7.52
Jelly beans 2.35 x 2.6 = 6.11
7.52 + 6.11 + 0.52 = 14.15
25 - 14.15 = 10.85
HELPPP PLEASEEE !!! John draws AABD, with CD as the perpendicular bisector of AB such that AACD and ABCD are congruent to each other.
DO
Which statement can John use this figure to prove?
Every isosceles triangle is a right triangle.
The base angles of any triangle are congruent.
The points on the perpendicular bisector of a side of a triangle are equidistant from all of the vertices of the triangle.
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Answer:
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Step-by-step explanation:
It is the last option. The perpendicular bisector theorem states that if a point lies on the bisector of a segment it is equidistant from the endpoints.
Meaning
If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .
The first three choices are incorrect because
1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.
2) The base angles of any triangle can be different or same .
3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.
The statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.
Recall:
The perpendicular bisector theorem states that any point on a perpendicular bisector of the side of a triangle is equidistant from the two endpoints or vertices of the side the perpendicular bisector bisects.From the triangle in the image drawn by John, it means that since CD a perpendicular bisector of side AB, it means that the distance from point D to vertex A and the distance from point D to vertex B are equal.
Therefore, the statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.Learn more here:
https://brainly.com/question/4137998
math picture help me
Answer:
D
Step-by-step explanation:
If 300 cones were sold, how many were chocolate?
Answer:
90
Step-by-step explanation:
answerrrr plssssssssss
Answer:
no solution
Step-by-step explanation:
4.28 divide by 7 equals ?
Answer:
0.611428571
Step-by-step explanation:
[tex]4.28 \div 7 \\ \\ = \frac{4.28}{7} \\ \\ = 0.611428571 \\ [/tex]
Please help me ASAP
=====================================================
Explanation:
This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.
See the diagram below.
---------------------
A nonvisual approach will have you plug each of the coordinates into the given inequality.
For instance, choice A has x = 0 and y = 2 pair up which plug in to get
y < (-2/3)x + 2
2 < (-2/3)*0 + 2
2 < 2
which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because
y < (-2/3)x + 2
0 < (-2/3)*0 + 2
0 < 2
which confirms the answer we got when we used the visual approach.
The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.468, then find the duration of the randomly selected class, i.e., if P ( x > c )
Answer:
The duration of the randomly selected class is 52.6 minutes.
Step-by-step explanation:
The random variable X is defined as the duration of a professor's class.
It is provided that, [tex]X\sim Unif(49.2, 55.5)[/tex].
The pdf of X is:
[tex]f_{X}(x)=\frac{1}{55.5-49.2};\ 49.2<X<55.5[/tex]
It is provided that the probability that the duration of the class is longer than c number of minutes is 0.468.
That is, P (X > c) = 0.468.
Compute the value of c as follows:
[tex]P(X>c)=0.468\\\\\int\limits^{55.5}_{c}{\frac{1}{55.5-49.2}}=0.468\\\\\frac{1}{6.3}\times [x]^{55.5}_{c}=0.468\\\\55.5-c=2.9484\\\\x=52.5516\\\\x\approx 52.6[/tex]
Thus, the duration of the randomly selected class is 52.6 minutes.
Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Step-by-step explanation:
The standard form of equation is [tex]Ax+By=C[/tex]
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]
Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
12 1/2 gal= qt
can you help me plsssssss
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
in 1/2 a gal. there is 2qt.
so that makes a gal = 4qt.
12 x 4 =48qt plus 2qt equals 50 qt
PLZZ HELP MEEEE
The length of the house is 50 m. In the plan, it is 12.5 cm. What is the scale of the house plan?
Answer:
Step-by-step explanation:
lol i think 800 m imao if im not corecct
Answer: 1:400
Step-by-step explanation:
A number cube has a volume of 27 mm3. What is the length of one edge of the cube
what is the value of x in the equation below?
-3-(-8)-(-2)=x
Answer: The X =7
Step-by-step explanation:
So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps
Please Help
What is the polar form of -9 square root 3 EndRoot + 9 i?
A. 18(cos(120°) + isin(120°))
B. 18(cos(150°) + isin(150°))
C. 324(cos(120°) + isin(120°))
D. 324(cos(150°) + isin(150°))
Answer:
The correct answer is B) 18(cos(150)+isin(150))
Step-by-step explanation:
Hope this helps!
What is the distance between point A(-2,-1) and point B (3,2)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]d = \sqrt{ ({2 - ( - 1)})^{2} + ({3 - ( - 2)})^{2} } \\ [/tex]
[tex]d = \sqrt{ {3}^{2} + {5}^{2} } [/tex]
[tex]d = \sqrt{9 + 25} [/tex]
[tex]d = \sqrt{34} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
√34
Step-by-step explanation:
A(-2 , -1) B(3 , 2)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(3-[-2])^{2}+(2-[-1])^{2}} \\\\=\sqrt{(3+2)^{2}+(2+1)^{2}}\\\\=\sqrt{5^{2}+3^{2}}\\\\=\sqrt{25+9}\\\\=\sqrt{34}[/tex]
help plz rn fast fastvlook at pic!
Answer:
9/15/19
Step-by-step explanation:
i got 15 points out of 20 what is my grade
Answer:
75% (Letter grade = C)
Step-by-step explanation:
15 ÷ 20 = 0.75Multiply by 100: 0.75 × 100 = 75So, your grade was a 75% (letter grade = C)Answer:
75%
Step-by-step explanation:
We need to find out what your grade is.
Since we know that you got 15 out of 20 points we need to find the Greatest Common Factor of these two numbers.
1. [tex]5\left \{ {{15 / 5} \atop {20 / 5 }} \right}} = \frac{3}{4}[/tex]
Now we need to turn this fraction into a decimal.
In order to do that we need to divide our 3 by our 4.
2. [tex]\frac{3}{4} = .75[/tex]
Finally, we need to turn this decimal into a percentage.
In order to do this we must multiply our decimal by 100.
3. .75 * 100 = 75%
Feel free to give brainliest.
Have a great day!
a line has a slope of 2 and passes through the point (5,2)
Answer:
Step-by-step explanation:
Given
A line has a slope = 2
point = (5,2)
Solution
y-y1=m (x-x1)
Where y1=2,X1=5,m=2
y-2=2(x-5)
Y-2=2x-10
2x-y=-8
Equation of the line is 2x-y=-8
1. Write 1/5 as a decimal
2. Write 1/5 as a percent
3. Write 10% as a fraction
4. Reduce 35/100 to lowest terms
5. Write 35/100 as a percent
6. Write 8/20 as a percent
7. Write 8/20 as a decimal
Answer:
1.5
1.5%
10/0
7/20
35.1%
8.20%
8.20
Step-by-step explanation:
there u go
how did u get this and what is it I need help so bad
Answer:
y=6x+5
Step-by-step explanation:
I am not sure if this is the answer but it's worth a try...
6. Solve the problem. A carousel has a radius of 18 feet and takes 31
seconds to make one complete revolution. What is the linear speed of
the carousel at its outside edge? Express the answer in feet per second.
If necessary, round the answer to two decimal places.
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
[tex]v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s[/tex]
So, the linear speed of the carousel is 3.64 ft/s.
There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?
Step-by-step explanation:
[tex]1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches[/tex]
There are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Important information:
There are 39.37 inches in 1 meter.Convert meter to inches:Using the given information,
1 meter = 39.37 inches
Using this conversion, we get
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times (8\cdot 10^4)[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times 80000[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3149600[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3.1496\cdot 10^6[/tex] inches
Therefore, there are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Find out more about 'Convert meter to inches' here:
https://brainly.com/question/2284603
If Big Bun won 5 out of 25 matches, what percent did he win?
Answer:
5/25*100=
1/5*100=100+5=20
Which graph is a possible graph of the points (5, -3) and
(-5, -3)?
Answer:
y=-3
I hope this is good enough: