Here is an ordered set of sample data.4.9 16 18 2124 29 31 35 3743 44 49 51 5256 58 66 68 7190 93 95Identify the 5 number summary: (min, Q1, median, Q3, max).
Answers
We have the following sample data set:
4, 9, 16, 18, 21, 24, 29, 31, 35, 37, 43, 44, 49, 51, 52, 56, 58, 66, 68, 71, 90, 93, 95
We must identify the 5 number summary: (min, Q1, median, Q3, max).
1) The first step consists in ordering the data, from the smaller value to the bigger one. The list is already ordered:
4, 9, 16, 18, 21, 24, 29, 31, 35, 37, 43, 44, 49, 51, 52, 56, 58, 66, 68, 71, 90, 93, 95
2) From the order set of numbers we identify the min (the minimum value) and the max (the maximum value):
• min = 4
,• max = 95
3) Counting the number of elements of the data set, we count 23 elements.
The median is the middle number in a sorted, ascending or descending, list of numbers.
Looking at the numbers of the list, we see that in the middle we have the number 44, so we have:
• median = 44
4) Quartiles are the values that divide a list of numbers into quarters. To find the quartiles we must divide the list into four equal parts. To do that first we divide the list into two equal parts, excluding the median:
• 4,9, 16, 18, 21, ,24,, 29, 31, 35, 37, 43
,• 49, 51, 52, 56, 58, ,66,, 68, 71, 90, 93, 95
Now, we must divide each part into two equal parts. Each list has an odd number of elements, the elements in the middle of each list are the Q1 and Q3 quartiles, respectively. So we have:
• Q1 = 24
,• Q3 = 66
Answer
The 5 number summary (min, Q1, median, Q3, max) are (4, 24, 44, 66, 95).
Related Questions
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. What is the proper conclusion for this test?
Answers
Answer:
There is no enough evidence to claim that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.
Step-by-step explanation:
The question is incomplete: the table is attached as picture.
The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.
As result from the test we have a t-statistic with a value t=-1.37631.
We don't know the significance level, but we know that the critical value that separates the acceptance region from the rejection region is tc=-1.70113.
To be the difference between means statistically lower than 0, the t-statistic should be lower than the critical value.
\(t=-1.307631\\\\t_c=-1.70113\\\\t>t_c\)
This is not the case, so the null hypothesis failed to be rejected.
There is no enough evidence to claim that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.
Devon is 2 times Sydney's age and sum of their ages =75
Answers
Answer:
Devon is 50 and Sydney is 25
Step-by-step explanation:
We know that d + s = 75 and that Devon is two times Sydney's age. This can be represented by 2s + s = 75 (keep in mind that 2s = d). Simplify the equation.
3s = 75
s = 25
Now we can substitute this in the original equation.
d + 25 = 75
d = 50
Best of Luck~
Answer: Sydney=25 Devon=50
Step-by-step explanation:
Sydney's age is represented by x and since Devon is 2 times older (his/her) age would be represented as 2x. So added together would be 3x. So 3x=75. 75/3=25. So x=25 meaning that Sydney is 25 and Devons age is 50 as 25x2=50.
identify the terms that are substituted for supply chain. (check all that apply.) multiple select question. supply web supply network extended enterprise demand chain lean operation
Answers
The following phrases are used in place of supply chain:
Supply network ; Demand chain ; Extended enterprise ; Supply web.
Explain about the supply chain?The supply chain is a networked system of businesses, people, information, and assets created to locate, produce, and transport items from their point of origin to their final destination, which is often from the a supplier to a customer.
Modern supply chains sometimes span several nations and involve numerous processes, making them exceedingly complicated.
The fundamental steps in such a supply chain are as follows:
original source or raw material extractiontransforming raw materials into simple componentsputting together basic components into completed goodsdistributing finished goods to customersdelivering completed goods to customers or end usersThus, the following phrases are used in place of supply chain:
Supply network ; Demand chain ; Extended enterprise ; Supply web.
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Is 32 cm bigger than 315 mm
Answers
Answer:
Yes! 32 cm is 320 mm. I hope this helps you
Step-by-step explanation:
Answer:
32 centimeters are equal to 320 millimetres, so if compare the two:
315 __ 320
315 < 320, therefore 32 centimeters is bigger than 315 millimetres
Can someone help me please ?!!!
Answers
Answer:
I cant see the image
solve the inequality 2(4x-3)>-3(3)+5x
Answers
Answer:
\(x > -1\\\)
Step by step explanation:
\(~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1\)
write each info entire radical √48
Answers
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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find the slope of the line
enter your answer as an integer or as a reduced fraction in the form a/b
Answers
The slope of the linear equation in the graph is a = 2.
How to find the slope of the linear equation?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁,y₁) and (x₂, y₂), then the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
Using the graph we can identify two points like (0, 2) and (1, 4), then the slope is:
a = (4 - 2)/(1 - 0) = 2/1 = 2
That is the slope.
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a sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. a regression analysis shows the following results:
Answers
The regression equation is Y = −12.201 + 2.195x.
In the given question,
A regression analysis shows the following results.
Coefficients Standard Error t-Stat p-value
Intercept −12.201 6.560 −1.860 0.100
Number of contacts 2.195 0.176 12.505 0.000
We have to find the regression equation.
Given that,
Coefficient of Intercept(a) = −12.201
Coefficient of Number of contacts(b) = 2.195
The regression equation is,
Y = a + bx
Y = −12.201 + 2.195x
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The right question is:
A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.
Coefficients Standard Error t-Stat p-value
Intercept −12.201 6.560 −1.860 0.100
Number of contacts 2.195 0.176 12.505 0.000
What is the regression equation?
The midpoints of the sides of a unit square (side 1 unit long) are joined to form a new square. this procedure is repeated for each new square.
a) Find the sum of the areas of all the squares.
b) Find the sum of the perimeters of all squares.
Answers
a) The sum of the areas of all the squares is 2 unit².
b) The sum of the perimeters of all squares is \(\frac{4\sqrt{2} }{\sqrt{2} -1}\) unit.
How to calculate the area of a square?In Mathematics and Geometry, the area of a square can be calculated by using this mathematical equation (formula);
A = x²
Where:
A is the area of a square.x is the side length of a square.Area of 1st square, A₁ = 1² unit².
Area of 2nd square, A₂ = (1/√2)² unit².
Area of 3rd square, A₃ = (1/2)² unit².
Therefore, the sum of the areas of all the squares is given by;
Sum of all areas = A₁ + A₂ + A₃ + ...... + Aₙ
Sum of all areas = 1² + (1/√2)² + (1/2)² + .....
Common ratio, r = 1/2 and the first term is 1.
Sum of all areas to infinity = 1/(1 - 1/2)
Sum of all areas to infinity = 2 unit².
Part b.
In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;
P = 4x
Perimeter of 1st square, P₁ = 4(1) unit.
Perimeter of 2nd square, P₂ = 4(1/√2) unit.
Perimeter of 3rd square, P₃ = 4(1/2) unit.
Therefore, the sum of the perimeter of all the squares is given by;
Sum of all perimeters = 4(1) + 4(1/√2) + 4(1/2) + .....
Sum of all perimeters = 4(1 + 1/√2 + (1/√2)² + ....)
Common ratio, r = 1/√2 and the first term is 1.
Sum of all perimeters to infinity = \(4(\frac{1}{1-\frac{1}{\sqrt{2} } } )\)
Sum of all perimeters to infinity = \(\frac{4\sqrt{2} }{\sqrt{2} -1}\) unit.
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A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
Answers
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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Pleeeeeeeeeseee help meee!!!
Answers
Answer:
y= 44
Step-by-step explanation:
you know 4y so just
×11 and you get 44
Which of the following is the number form of thirty-eight and one hundred seven thousandths? A. 38.170 B. 38.017 C. 38.107 D. 38.071
Answers
Answer:
the answer is C.) 38.107
Answer:
C. 38.107
Step-by-step explanation:
Verified by test results of student's test.
Select all that apply.
Which of the following ratlos are equivalent?
6/7 15/20 3/4 3 to 4 ??
Answers
Answer:
2,3, and 4
Step-by-step explanation:
Simplify the expressions. Type in your answer with no spaces.)
3(x + 1) - 2(x-4)
Answers
Simplify the expression.
x+11
Hope this helps (❁´◡`❁)
Answer:x+11
Step-by-step explanation:distribute the combine like terms
5 1/2 + 3/4 Give your answer in its simplest form.
Answers
Answer:
5 1/2 + 3/4
11/2 + 3/4
22+3/4
25/4
=6 1/4
What the volume? help
Answers
Answer:
7 yd^3
Step-by-step explanation:
The Volume is:
V=a*b*c
a=7*(1/3) yd
b=3*(1/3) yd
c=9*(1/3) yd
So, V=7 yd^3
Barry and Jess are going to the fair. Barry has $25 to spend. Jess has
7/10 the amount of money Barry has. How much money Jess have to
spend at the fair?
Answers
Answer:
Step-by-step explanation:
First, Multiply 25 dollars by 7/10 and you get your answer. Then, you simplify it and then you get your answer!
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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A
batch of 8 cookie ice cream sandwiches weighs 1,092 grams. On average, each cookie weighs 12 grams, and the same amount of ice cream is used for each sandwich. A pint of ice cream has approximately 450–460 grams of ice cream. How many pints of ice cream would you need to make another batch of 8 cookie ice cream sandwiches?
Answers
I don't know sorry I tried to work it but didn't work
Find the missing angle using trigonometry
Answers
Answer:
please look at detailed answers below
Step-by-step explanation:
example 1 is correct.
example 2:
x = (12 sin 15) / sin 75 = 3.22.
example 3:
x/sin 90 = 19/sin (180 - 90 -36)
x = (19 sin 90) / sin 54
= 23.5
example 4:
x/sin 53 = 7/sin (180 -90 - 53)
x = (7 sin 53)/ sin
= 9.29
Solve -5 < 2x + 3 <7.
O A. x>4 and xs4
O B. x>-4 and xs 2
O C. X> 4 or x 2
O D. x>-4 or xs2
Answers
8x + 4 = 27 + 6x - 15
Answers
Answer:
x = 4
Step-by-step explanation:
Knowledge Needed
If you add, subtract, multiply, or divide the same number/variable on both sides of the equation, the end result will be the same.
To solve for a variable, we must first isolate it, meaning it is on its own side of the equation separate from integers and other constants.
The Question
8x + 4 = 27 + 6x - 15
Subtract 4 on both sides.
8x + 4 - 4 = 27 + 6x - 15 - 4
Combine like terms.
8x = 8 + 6x
Subtract 6x on both sides.
8x - 6x = 8 + 6x - 6x
Combine like terms.
2x = 8
Divide 2 on both sides.
\(\frac{2x}{2} = \frac{8}{2}\)
Simplify.
x = 4
Calculate the volume of each of these prisms. 18 cm b) a) 5cm 3 cm 12 cm 2 cm 8 cm
Answers
Answer:
48 cm is the correct answer
If f(1) = 9 and f(n) = -4f(n-1) + 4 then find the value of f(3).
Answers
Answer:
132
Step-by-step explanation:
f(1) = 9
f(n) = -4f(n-1) + 4
Let n = 2
f(2) = -4f(2-1) + 4 = -4 f(1) +4 = -4(9) +4 = -36+4 = -32
Let n = 3
f(3) = -4f(2-1) + 4 =-4f(2)+4 = -4 (-32) +4 = 128+4=132
Identify the domain of the function
Answers
Answer:
(-2,4)
Step-by-step explanation:
It will be the correct answer.......
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing systems. MTBF is the elapsed time between failures of a system during normal operations. The failures could be caused by broken machines or computer errors, among other failures. Suppose that the MTBF for a new automated manufacturing system follows an exponential distribution with a mean of 12.2 hours. (a) What is the probability that the automated manufacturing system runs for more than 18 hours without a failure
Answers
Answer:
0.2287
Step-by-step explanation:
The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:
P(X > 17) = 1 - P(X < 17)
= 1 - [1 - e^-18 ÷ 12.2]]
= 1 - [1 -0.228684984 ]
= 0.2287
Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
Calculate each compound event probability: a. X ≤ 15, n = 20, π = .70 (Round your answer to 4 decimal places.) b. X > 8, n = 11, π = .65 (Round your answer to 4 decimal places.) c. X ≤ 1, n = 13, π = .40 (Round your answer to 4 decimal places.)
Answers
For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .
For X > 8, n = 11, π = .65 ; compound event probability is approximately 0.9198.
For X ≤ 1, n = 13, π = .40 ; compound event probability is approximately 0.6646 .
a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:
P(X ≤ 15)
= ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).
b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:
P(X > 8) = 1 - P(X ≤ 8)
= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗
Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.
Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).
c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:
P(X ≤ 1)
= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).
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