A shoe store recorded the number of customers who made a purchase out of a sample of 100 customers who entered the store each day. The boxplot shown summarizes the recorded data for one year. Based on the boxplot, which of the following statements is true?
A. The range of the number of customers making a purchase is greater than 32.
B. The interquartile range of the number of customers making a purchase is 25.
C. The number of days that had at least 26 customers making a purchase is greater than the number of days that had at most 11 customers making a purchase
D. The number of days that had from 11 to 26 customers making a purchase is equal to the number of days that had at most 14 customers making a purchase.
E.The difference between the median and the lower quartile for the customers making a purchase is less than 2.
Explain your thinking.
Answers
Less than 2 units separate the median from the lower quartile for customers making purchases.
What is meant by quartile deviation?The three values known as quartiles divide sorted data into four equal-sized portions, each with an equal number of observations. An example of a quantile is a quantile. First quartile: Also referred to as the lower quartile or Q1. The median or second quartile is also referred to as Q2. Third quartile: Also referred to as the higher quartile or Q3.
Half of the difference between the upper and lower quartiles can be used to define the quartile deviation analytically. Here, the upper quartile (Q3) and lower quartile (Q1) can be used to depict quartile deviation as the letters QD. The term "quartile deviation" is sometimes used to refer to the semi-interquartile range.
The coefficient of quartile deviation serves as a gauge for a collection of data's variability or spread. It is determined by taking the square root of the difference between the upper and lower quartiles, squaring the result, and dividing it by two. Comparing data sets is simple because it is expressed as a percentage.
Therefore, the correct answer is option E. The difference between the median and the lower quartile for the customers making a purchase is less than 2.
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Related Questions
The double number line shows that a traffic signal allows traffic through the intersection for 363636 seconds. A double number line with 2 tick marks. The line labeled Time, seconds, reads from left to right: 0, 36. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. A double number line with 2 tick marks. The line labeled Time, seconds, reads from left to right: 0, 36. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. Complete the table to show different percentages of the time the signal allows. Time (\text{s}sstart text, s, end text) Percentage 100\%100%100, percent of 36\,\text{s}36s36, start text, s, end text 25\%25%25, percent of 36\,\text{s}36s36, start text, s, end text 125\%125%125, percent of 36\,\text{s}36s36, start text, s, end text Report a problem
Answers
The percentages for this problem are calculated as follows:
100% of 36 seconds: 36 seconds.25% of 36 seconds: 9 seconds.125% of 36 seconds: 45 seconds.How to obtain the percentages?The percentages in this problem are obtained applying proportions, multiplying the total amount by the decimal equivalent of the percentage.
Hence the amount that represents 100% of 36 seconds is obtained as follows:
1 x 36 = 36 seconds.
(as a percentage of 100% has a decimal equivalent of 1).
The amount that represents 25% of 36 seconds is obtained as follows:
0.25 x 36 = 9 seconds.
(as a percentage of 25% has a decimal equivalent of 1).
The percentage of 125% of 36 students can be obtained combining the two previous expressions as follows:
1.25 x 36 = 1 x 36 + 0.25 x 36 = 36 + 9 = 45 seconds.
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A pillow costs 30 dollars, you have a 20% coupon. How much will it cost
with the discount? *
Answers
Answer:
$24
Step-by-step explanation:
100% - 20% = 80%
Since the coupon is for 20% of the price, you will only pay the remaining 80% of the price.
80% of $30 = 0.8 * $30 = $24
Answer: $24
The sum of ages of a woman and her daughter is 46 years. In 4 years time, the ratio of their ages will be 7:2. Find their present ages?
Answers
Step-by-step explanation:
Given ,The sum of the ages of a woman and her daughter is 46 years.In 4 years time,the ratio of their ages will be 7:2.To Find : Their present ages
Solution :Consider,
Present age of woman = x yearsPresent age of Daughter = y yearsAccording to the 1st condition :-The sum of the ages of a woman and her daughter is 46 years.[tex]x + y = 46\\x = 46 -y[/tex]
According to the 2nd condition :-In 4 years time,the ratio of their ages will be 7:2.After 4 years,Age of woman = (x+4) yearsAge of daughter = (y+4) years→ (x+4) : (y +4) = 7:2
→ x+4/y+4 = 7/2
→ 46-y+4/y+4 = 7/2
→ 50-y/y+4 = 7/2
→7y +28 = 100-2y
→ 7y +2y = 100 -28
→ 9y = 72
→ y = 8
Present age of Daughter = 8 yearsNow put y = 8 in eq(1) .
→ x = 46 - y
→ x = 46 - 8
→ x = 38
Present age of woman = 38 years.Mark Me Brainliest
SOMEONE PLEASE HELP FOR A KISS
Answers
Answer:
The answer is C.
Step-by-step explanation:
b) A bag contains 6 marbles: 3 red, 2 black, and 1 blue.
One marble is picked at random
Answers
Answer:
We need more information
Step-by-step explanation:
Help on this I don’t really understand it
Answers
Answer:
[tex]4x^5 +8x^3 = 4x^3(x^2 + 2)[/tex]
option 1
please help me!!Will mark brainlyist
Answers
Answer:
~64 meters
Step-by-step explanation:
depending on how you go at this, you can get a variant of what i have, but it should not go over 70 meters. nor under 60 meters.
Estimate −59.2345.678 by first rounding each number to the nearest whole number.
Answers
Answer:
-59
Step-by-step explanation:
2 is the first digit right after the decimal point. The digit after it is 3, Both digits would round down, therefore meaning that the whole number would still be -59
A whale is swimming due north at a speed of 40 kilometers per hour. Just 6 kilometers away,
a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 83
kilometers per hour. How long will it be before they meet?
Answers
Answer:
O hrs and 30 minutes is the answer
Step-by-step explanation:
want proof?
Answer:
about 0.04878 hours ≈ 2 minutes 56 seconds
Step-by-step explanation:
You want the time until a whale-watching boat and a whale meet if the boat is traveling south at 83 km/h and the whale is traveling north at 40 km/h when they start 6 km apart.
Closing speedThe speed at which the gap between the boat and the whale is closed is the sum of their respective speeds:
closing speed = 83 km/h + 40 km/h = 123 km/h
TimeThe time it takes to close the 6 km gap is ...
time = distance/speed
time = (6 km)/(123 km/h) ≈ 0.04878 h
Converted to minutes and seconds, that is about ...
0.04878 h ≈ 2 minutes 55.6 seconds
It will be about 2 minutes 56 seconds before the boat and whale meet.
__
Additional comment
NOAA recommends a distance of at least 100 yards be maintained between a boat and a whale. In some areas, the recommended distance is 400 yards when approaching head-on. The recommended boat speed is 15 knots or less, about 28 km/h.
Explain why the initial value of any function of the form
f(x) = a(b*) is equal to a.
Answers
The formula becomes a times 1, which is merely a, when you swap out 0 for the exponent x. This is so because 1 equals any number raised to the power of 0. The value of a will always be the initial value for any function with this form since the initial value is the function's value with an input of 0.
How do you determine F's starting value?By looking for an equation's constant, one can also locate initial values. Graph functions benefit from understanding the y-intercept.
Any number that is multiplied by 0 equals 1.
A number is equal to a number multiplied by 1.
The value of a multiplied by one will equal its starting value.
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The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?
Answers
The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.
The formula for calculating percentages?To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.
Since when do we utilize percentages?Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.
According to the given information:We are aware that m = CV, where
V = volume and c = concentration
Let
M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.
It is known that m + m' = M.
where cv + c'v' = CV
Since cv + c'v' = CV, the formula is:
c = 3.7% concentration = 0.037;
v = volume of 3.7% = 1 ounce;
c = 7.9% concentration = 0.079;
v' = volume of 7.9%;
C = 6.5% concentration = 0.065;
and V = volume of 6.5% = v + v'
We obtain by altering the values of the variables in the equation
3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')
3.7% + 7.9 %v' = 6.5%(1 + v')
3.7% + 7.9 %v' = 6.5% + 6.5%v'
7.9%v' - 6.5%v' = 6.5% - 3.7%
1.4%v' = 2.8%
v' = 2.8%/1.4%
2 ounces are v'.
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Berry has a circle graph that is 32 percent black, 45 percent red, and 11 percent yellow. If the rest of the graph is green, then what percent of the circle graph is green?
Answers
Answer:
12% green
Step-by-step explanation:
A small index of retention (IOR) shows that the data on the box plot is
Answers
Answer:vgugyu
Step-by-step explanation:
Lelani has 64 baseball cards. This is 4 times as many baseball cards as Paul has. How many baseball cards does Paul have?
Answers
Answer:
16
Step-by-step explanation:
64 divided by 4 is 16. Paul has 16 baseball cards.
Explanation:
64 divided by 4 = 16
Lets check the answer:
16 x 4 = 64
Have a nice day! And pls mark me brainliest TY
What is 6 divided by 9.51
Answers
Answer:
The result of 6 divided by 9.51 is approximately 0.63.
Answer:
0.63091482649
Step-by-step explanation:
At the city museum, child admission is $5.60 and adult admission is $9.30. On Monday, 166 tickets were sold for a total sales of $1277.40. How many adult tickets were sold that day?
number of adult tickets []
Answers
Answer:
number of child ticket sold=x =86
number of adult ticket sold = y =74
What are the ordered pairs of the solutions for this system of equations? f(x)=x²-2x+3; f(x)=-2x+7
Answers
The ordered pairs that defines the solutions of the system of equations f(x) = x² - 2x + 3; f(x) = -2x + 7 are
(2, 3) and (-2, 11)
What are ordered pairs?Ordered pairs refers to the arrangement of 2 numbers in the form (a, b)
As used in the cartesian coordinates
a refers to a point in the x direction b refers to a point in the y direction
Solutions of the system of equation is the points where the straight line intersect the curve or where the two graphs intersect.
the point of intersection
x² - 2x + 3 = -2x + 7
x² - 2x + 2x + 3 - 7 = 0
x² + 3 - 7 = 0
x² - 4 = 0
solving for x
x² = 4
x = √4
x = 2 OR -2
solving for y
For x = 2, y = -2 * 2 + 7 = 3
For x = -2, y = -2 * -2 + 7 = 11
hence we have the points to be (2, 3) and (-2, 11)
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Quadrilateral BCDE is similar to quadrilateral QRSP.
171°
153°
R
57°
179°
B
E
P
S
What is the measure of angle R?
degrees
Answers
Gas is $2. 09 per gallon at the gas station. If
Nate filled up his car and spent $33. 44, how
many gallons did he put in his car?
Answers
Nate's car was filled with 16 gallons of gas.
The concept is used in this is equations. An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. An equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division balanced by an equal sign. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.
As gas is $2. 09 per gallon at the gas station.
$2. 09 → per gallon
and Nate filled up his car and spent $33. 44.
$33. 44 for fully filled → how many gallons ?
So,
33.44 / 2.09 = 16 gallons.
Therefore, Nate filled 16 gallons gas in his car.
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is -2/3 rational or irrational
Answers
Answer: I think its Rational -_-
Step-by-step explanation: Chili Dogs
Answer:
rational, this fraction is not continuous, like pi
Which metric unit would be best to measure the width of a room?
Answers
Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances. If you are looking to figure out the length of a road, the distance between two locations, etc, you would use kilometers.
Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents
Answers
Given:
In a circle, two chords CE and DU intersect each other inside the circle at B.
Measure of arc CD = 185 degrees.
Measure of arc EU = 55 degrees.
To find:
The measure of angle CBD.
Solution:
Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using Intersecting chords theorem, we get
[tex]m\angle CBD =\dfrac{1}{2}(arcCD+arcEU)[/tex]
[tex]m\angle CBD =\dfrac{1}{2}(185^\circ +55^\circ )[/tex]
[tex]m\angle CBD =\dfrac{1}{2}(240^\circ )[/tex]
[tex]m\angle CBD =120^\circ[/tex]
Therefore, the measure of angle CBD is 120 degrees.
???????????????????????????????????/////////
Answers
Answer:
1. Rational
2. Rational
3. Irrational
4. Rational
5. Irrational
What is the volume in cubic inches of the pyramid shown in the diagram?
Answers
u can download the gauthmath app i promise it's very helpful :)
I need help please. ASAP
Answers
When given the radius, multiply times two and then multiply by pi (3.14)
7 times 2 is 14 and 14(3.14) gives you 43.96
When rounded to the nearest whole number, it gives you the final answer of 44.
Hope that helps :)
I need some help again:(. My question says "complete the statement with the correct exponent" it shows 5 (blank) = 125 I know that whenever I have a two it's 5 squared but I don't know how to actually find the exponent without it showing 5 x 5 x 5 ( and so on,not what it actually showed just an example )
Answers
The value of the exponent based on the information is 3. Therefore, 5³ = 35.
How to illustrate the exponent?It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, it should be noted that this can be written as:
5^x = 125
5^x = 5³
Since the base is equal
x = 5.
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.You have an "equality sign" that connects 1kg of NaCl to 27 ml of a solvent, how many ml are associated with 9100 grams?
Answers
Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.
What does ≡ mean in math?is a synonym for exactly. This is comparable to equals but not quite the same. To avoid confusion, always use the symbol =, which stands for about equal to or virtually equal to. This symbol indicates two sides of a connection that are not precise enough to be mathematically manipulated.≅ (mathematics) equivalent to around. quotes (geometry) similar to. The computer science term "it is defined as" is denoted by the meta symbol::=, which is not a mathematical expression , everywhere.x ≔ y or x ≡ y indicates that x is understood to be another name for y (however it should be noted that can also denote other things, such as congruence). P :⇔ Q denotes the logical equivalence of P to Q. Congruent or, more generally, an arbitrary equivalence relation is denoted in some circumstances by the triple bar or equal sign with three lines.To learn more about equality sign refer to :
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If lunch cost $15.70, before tip, and you left $3.14, what %
tip did you leave and what was the total cost of lunch?
Answers
Answer:
20%
$18.84
Step-by-step explanation:
3.14 is what percent of 15.70?
Use the percent-to-dollar conversion (100: 15.70) :
3.14 * 100% / 15.70 =
3.14 / 15.70 * 100% =
1/5 * 100% =
100% / 5 = 20% ==> percent tip
$15.70 + $3.14 = $18.84 ==> Total cost
find the vertex
V(x) = 325x2 – 4600x + 145000
Answers
The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or 7.08 - i19.9.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.
Given, V(x) = 325x² - 4600x + 145000.
V(x) = 13x² - 184x + 5800. (we have factored out 25)
Now, By applying Sridhar acharya's formula,
x = [- b ± √(b² - 4ac)]/2a.
x = [184 ± √(33856 - 301600)]/26.
x = [184 ± i√267744]/26.
x = [184 ± i517.44]/26.
x = 7.08 + i19.9 Or 7.08 - i19.9.
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Karime walks 3/4 of a mile each day for 5 days.the number of miles karime walks altogether is between which two whole numbers?
Answers
Answer:
Step-by-step explanation:
To find the total number of miles Karime walks, we need to multiply the number of miles she walks each day by the number of days:
3/4 mile/day * 5 days = 15/4 miles
We can simplify this fraction to be:
15/4 = 3 3/4
The whole number portion of this result is 3, and the fractional portion is 3/4. Therefore, the total number of miles Karime walks is between 3 and 4.
In other words, the two whole numbers between which the total number of miles Karime walks are 3 and 4.
Total number of miles Karime walks altogether is,
⇒ 5 miles
We have to given that,
Karime walks 3/4 of a mile each day for 5 days.
Hence, To find number of miles Karime walks altogether, we can multiply 3/4 by 5.
So, We get;
Total number of miles Karime walks altogether is,
⇒ 3/4 x 5
⇒ 15 / 4
⇒ 3.75
⇒ 4 miles
Because 3.75 is nearest to 4.
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