The 5-number summary of the given data is as follows:
Minimum: 18Quartile Q1: 20.5Median: 23Quartile Q3: 25Maximum: 31What is 5 number summary?A set of descriptive statistics called the five-number summary is used to describe a dataset. When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.The lower or first quartile of the first group's median is equal to (0 + 1)/2, or 0.5. The median for the second group is (27 + 61)/2, which is 44. This value represents the upper or third quartile. Observations 0 and 63 are the smallest and greatest values. The five-number summary is therefore 0, 0.5, 7.5, 44, 63.So, the data set is:
18,19,21,23,23,23,24,25,25,31Then, the 5-number summary will be:
Minimum: 18Quartile Q1: 20.5Median: 23Quartile Q3: 25Maximum: 31Therefore, the 5-number summary of the given data is as follows:
Minimum: 18Quartile Q1: 20.5Median: 23Quartile Q3: 25Maximum: 31Know more about 5 number summary here:
https://brainly.com/question/17076973
#SPJ13
4. An average cigarette contains 1.5 mg of nicotine. The average smoker
smokes 15 cigarettes a day. How much nicotine does the average
smoker inhale a day?
Answer:
22.5 mg of nic
Step-by-step explanation:
1.5*15=22.5mg
don't smoke kids! (idc)
What is the answer to the expression "the difference of 9 and 2"?
the difference between 9 and 2 is 7
Answer:
7?
Step-by-step explanation:
Uhhhh
You subtract 9 and 2
7
That's crazy now
Find the transformation of the point A (3,-5) please help 0-0
The image of the rotation in the transformation is (-1, 4)
How to determine the image of the transformation?The coordinates of the point are given as
Point = (3, -5)
The transformations are given as
T₁, ₄ rₓ-axis R₉₀°
Mathematically, this is represented as
(x, y) = (x + 1, y + 4) = (x + 1, -y - 4) = (y + 4, x + 1)
So, we have
(x, y) ⇒ (y + 4, x + 1)
Recall that
Point = (3, -5)
This gives
Image = (-5 + 4, 3 + 1)
Evaluate
Image = (-1, 4)
Hence, the coordinates of the image are (-1, 4)
Read more about rotation at
brainly.com/question/12508456
#SPJ1
Principal is
•
A. The original amount invested
•
B. The total amount earned
•
C. Interest plus original amount invested
•
D. Interest on a loan
As per the concept of simple interest the term principal refers the original amount invested.
Simple interest:
Basically, the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given,
Here we need to find the correct definition of the term principal.
As per the definition of the concept simple interest, then term principal refers the amount to be invested on the particular assets.
And at the nd of the particular, period the principal amount is either increase or decrease based on the interest applied on it.
To know more about Simple interest here.
https://brainly.com/question/22621039
#SPJ1
One sample has n = 18 with SS = 102 and M = 12. A second sample has n =
5 with SS = 171 and M = 8. Which of the following is the 95% confidence
interval for the mean difference in confidence between the two samples?
05±6.0956
O 5±3.7856
O4 ±3.7856
O4±6.0956
Option-3 is correct. The mean difference in confidence between the two samples' 95% confidence interval falls between 4±3.7856.
Given that,
A sample has n = 18, SS = 102, and M = 12 for one sample. In a second sample, the n is 5, the SS is 171, and the M is 8.
We have to find The mean difference in confidence between the two samples' 95% confidence interval falls between which of the following ranges.
n₁=18 and SS=102
We get,
S₁=[tex]\sqrt{SS/n_{1}-1 }[/tex]=[tex]\sqrt{102/18-1}[/tex]=2.45
n₂=5 and SS=8
We get,
S₂=[tex]\sqrt{SS/n_{2}-1 }[/tex]=[tex]\sqrt{8/5-1}[/tex]=6.54
C is 95%=0.95
d=0.05
Pooled variance is
S²p=273.13/21=13.01
Standard error= S₁-S₂= 1.82
Confidence interval is
μ₁-μ₂
4±3.7856
Therefore, Option-3 is correct. The mean difference in confidence between the two samples' 95% confidence interval falls between 4±3.7856.
To learn more about mean visit: https://brainly.com/question/28108712
#SPJ1
what’s equivalent to 2 to the power of 6
[tex]\fbox{64 or 8*8}[/tex]
[tex]2^6=64[/tex]
[tex]8\times8=64[/tex]
A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at least 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582
Yes At = 0.025 is there enough evidence to reject the claim.
Given:
A random sample of 10 buildings is selected, and the heights in feet are shown.
485 511 841 725 615 520 535 635 616 582
Mean x = 6065/10
= 606.5
H : μ ≤ 700
n = 10
s = 109.08
α = 0.25
Test stat t = x - μ / s/[tex]\sqrt{n}[/tex]
on submitting the above values
t = -2.71.
so reject h.
Therefore Yes At = 0.025 is there enough evidence to reject the claim.
Learn more about the random sample here:
https://brainly.com/question/12719656
#SPJ9
Leaves and acorns are falling from the trees, but to work out the exact number of each you need to solve the following equation.
If l number of leaves = 46, what does a (acorns) equal?
l + 3a = 145
Using the equation, the number of acorns that fell if 46 leaves fell is 33.
How to find the number of acorns?Leaves and acorns are falling from the trees. To work out the exact number of each you need to solve the following equation.
l + 3a = 145
where
l = number of leavesa = number of acornsLet's find the number of acorns that fell if 46 leaves fell off from th tree.
Therefore,
l + 3a = 145
46 + 3a = 145
3a = 145 - 46
3a = 99
divide both sides by 3
a = 99 / 3
a = 33
Therefore,
number of acorns = 33
learn more on equation here: https://brainly.com/question/27853594
#SPJ1
UGENT!
UGENT!
UGENT!
UGENT!
UGENT!
UGENT!
what is 1+1!!
Answer:
2
Step-by-step explanation so, you got the question 1+1? let me help. So the first 1 in the question right? You add another 1 that equals 2 hope this helps.
Answer:
24
Step-by-step explanation:
well u see 1+1 would usually = 2 but because i dont like the number 2 by its self i add another 2 therefore its 22 and then i like to spice it up with adding another 2 to the last 2 then u have 24.
HOPED THIS HELPED!!!!! :b
identify the transformations used to graph g(x)=-1/2(x-3)^3 from its parent function f(x)=x^3
Answer:
The transformations that have been done are reflected vertically -1/2 and moved to the right by 3 units.
Step-by-step explanation:
To find out what transformations differ from your parent graph, look at the a,h, and k values.
A value means if it is being vertically stretched or reflected
In this case, -1/2 is a vertically reflection(upside down).
We also have -3 as our h value. This tells us how many units right or left our graph moves. If the value is negative, it moves to the right. If the value is positive, it moves to the left.
Now you know how to find transformations that differ from the parent graph
Find the missing angles
First picture answer:
⇒Sum of interior angles of a triangle is 180°,this means that ∠1 +37°+24°=180°
[tex]< 1+61=180\\ < 1=180-61\\ < 1=119[/tex]
⇒m∠1=119°
______________________________________________________
Second picture answer:
⇒An exterior angle of a triangle is created by extending one side of the triangle.
⇒ Exterior angle at this point is m∠1
⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
⇒The two interior angles at this point are 76° and 52°
⇒The statement above just means m∠1=76°+52°
m∠1=128°
______________________________________________________
Third picture answer:
⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
⇒The exterior angle at this point is 104° and the two interior angles are 79° and m∠1
⇒The statement above means that
104°=m∠1 +79°
⇒Let us solve for the unknown angle m∠1
m∠1=104°-79°
m∠1=25°
Two sides of a triangle have the following measures. Find the range for the measure of the third side.
7,10
A.3 < x < 14
B.4
C.5 < x < 10
D.3 < x < 17
Help please
I really need help
The range for the third side will be around 5<x<10
What is Pythagoras theorem?
Pythagoras theorem is a theorem applied to right angled triangle. It states that sum of squares of sides of a right triangle is equal to the square of the hypotenuse.
Let use consider that the given triangle is right triangle
We know the length of the hypotenuse is 10
And one of the side is of length 7
Let the side of the triangle be 'x'
Hence by Pythagoras theorem
We have
7^2+x^2=10^2
49+x^2=100
x^2= 51
x= 7.2
Hence this range is in between 5<x<10
To learn more about pythagoras theorem please refer the following link
https://brainly.com/question/343682
#SPJ1
solve the question please
Answer:
the answer is A
Step-by-step explanation:
you are dividing with a - so the signs will switch
TB MC Qu. 07-135 (Algo) On July 9, Mifflin Company receives...
On July 9, Mifflin Company receives an $8,200, 120-day, 6% note from customer Payton Summers to replace an account receivable. What entry should be made by
Mifflin on the maturity date assuming the maker pays in full, and no adjusting entries have been made related to the note? (Use 360 days a year.)
Multiple Choice
Debit Cash $8,364, credit Interest Revenue $164; credit Notes Receivable $8,200
Debit Cash $8,282; credit Interest Revenue $82, credit Notes Receivable $8,200.
Debit Notes Receivable $8,200, debit Interest Receivable $164; credit Sales $8,364.
Debit Cash $8,200, credit Notes Receivable $8,200.
Answer:
a
Step-by-step explanation:
cause
What is a rational number between 4/9 and 6/11
Lee Anne and Mary got their allowance and went to their favorite store.
A. Lee Anne has $ 30 to spend and wants to buy 3 pairs of sunglasses. She estimates by rounding $ 14.72 to the nearest ten, which is $ 10 and then multiplying $10x3=$ 30. Is Lee Anne's estimate reasonable? Explain how you know.
B. Mary buys a pair of earrings and two bookmarks. She pays with a twenty-dollar bill. How much change will she receive?
C. The store is running a special deal- Buy 3 pairs of earring, Get one pair free! Lee Anne decides doesn't want sunglasses anymore. Will her 30 be enough to take advantage of this deal? Exp how you know.
A. Her estimate is not reasonable, as she does not have enough money to buy the 3 sunglasses.
B. The change that she will receive is of $4.67.
C. Her $30 will be enough to take advantage of the deal.
How to obtain the values?The values are obtained applying the proportions, which are the prices of each product in this problem.
For item a, the cost of three sunglasses should be of:
3 x 14.72 = $44.16.
The estimate to the nearest tenth is not reasonable, as she does not have enough money to buy the sunglasses.
The cost in item b is given as follows:
9.83 + 2 x 2.75 = $15.33.
The change is given by the amount paid subtracted by the total cost, hence:
Change = 20 - 15.33 = $4.67.
The amount paid in item c is of:
3 x 9.83 = $29.49.
Which is less than $30, hence her $30 will be enough to take advantage of the deal.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
A standard game of Monopoly includes 20 orange $500 bills, 20 tan $100 bills, 30 green $50 bills, 50 blue $20 bills, 40 of each of the $5, $10, and $1 bills. What is the probability that I randomly pick a $50 bill from the pile? what is the answer.
Answer: 30/240 = 1/8
Step-by-step explanation: There are 30 $50 bills and 240 total. There is a 30/240 chance that the bill you pick is a $50 bill. To simplify the fraction - 1/8.
51. Minimizing Average Cost Suppose the total cost
function for manufacturing a certain product is
C1x 2 5 0.210.01x 2 1 1202 dollars, where x represents
the number of units produced. Find the level of production that will minimize the average cost.
The level of production that minimizes the average cost is the quantity of units produced when the value of the average cost function has a minimum value, which is 110 units of production
What is the minimum value of a function?The minimum value of a function is given by the point of the graph of the function where the value is minimum.
The total cost function is C(x) = 0.2·(0.01·x² + 120)
x = The number of units produced (manufactured)
The average cost is the cost to produce one unit
Therefore;
[tex]Average\, cost, \, AC = \dfrac{Total \, cost }{Quantity \, produced}[/tex]
Therefore;
[tex]Average\, cost \, function,\, f(x) = \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}[/tex]
The quantity that minimizes the average cost is given by the minimum value of the average cost function, which is the point at which the slope of the function, f'(x) is zero as follows;
[tex]f'(x) =\dfrac{d}{dx} \left( \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}\right) = 0[/tex]
[tex]\dfrac{d}{dx} \left( \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}\right) =\dfrac{x^2-12000}{500\cdot x^2} = 0[/tex]
x² - 12000 = 0
x² = 12000
x = √(12000) = 20·√(30) ≈ 110
The level of production that will minimize the average cost is when 110 units are producedLearn more about average cost function here:
https://brainly.com/question/2292799
#SPJ1
18. Aaron bought 132 inches of wire. He
cut the wire into 9 pieces that were the
same length. What was the length of
each piece of wire? (Show work)
A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is b. The probability that none of the marbles are red is
For the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.
As given in the question,
Total number of marbles in a bag = 9 red + 6 white + 7 blue
= 22 marbles
Number of marbles drawn from a bag without replacement = 3
Probability of all the three marbles are red without replacement :
First marble is red = 9 /22
Second marble is red = 8 /21
Third marble is red = 7/20
Required probability of all marbles are red
= (9/22) (8/21)(7/20)
= 504/ 9240
= 0.0545 (round off to 4 decimals)
Probability of all the three marbles are not red without replacement :
First marble is not red =(1- 9 /22)
= 13/22
Second marble is not red = 1- (8 /21)
= 13/21
Third marble is not red = 1- (7/20)
= 13/20
Required probability of all marbles are not red
= (13/22) (13/21)(13/20)
= 2197/ 9240
= 0.2378 (round off to 4 decimals)
Therefore, for the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.
Learn more about probability here
brainly.com/question/11234923
#SPJ1
please help me it's due now, please
Which image shows a rotation? A, B, or C
Answer: B
Step-by-step explanation: A is a translation, C is reflection and B is the reflection.
Hoped This Helped!
What is the surface area of the three-dimensional figure?
The surface area of the unfolded prism is 77 square inches.
How to determine the surface area of an unfolded solid
Herein we find a representation of an unfolded right prism with an isoceles triangle cross area, the surface area is the sum of the areas of all faces of the solid. There are a rectangle, two squares and two isosceles triangles as faces of the prisms. The area formulas for each expression are described below:
Rectangle
A = b · h
Where:
b - Base, in inches.h - Height, in inches.Isosceles triangle
A = (1 / 2) · b · h
Square
A = l²
Where l is the side length, in inches.
Now we proceed to determine the surface area of prism:
A = 2 · (5 in)² + (3 in) · (5 in) + 2 · (1 / 2) · (3 in) · (4 in)
A = 50 in² + 15 in² + 12 in²
A = 77 in²
The prism has a surface area of 77 square inches.
To learn more on surface areas: https://brainly.com/question/2835293
#SPJ1
Please helpppp it’s due today!!!
There are two pairs of triangles given. Using transformation of triangles we can say that ΔABC and ΔEFG are congruent. ΔDEF and ΔJKL are non-congruent to each other.
There are three types of transformations in triangles. They are translations, rotations and reflections.
Translation is nothing but changing the position of the figure without disturbing its shape and size. Two triangles are said to be congruent if their corresponding sides and angles are proportional.
In triangles ΔABC and ΔEFG, the sides AB and EF are proportional to each other, AC and EG are proportional to each other and BC and FG are proportional to each other. Translation is seen in ΔABC and ΔEFG.
In triangles ΔDEF and ΔJKL, neither the sides nor the angles are proportional to each other. Hence, ΔDEF and ΔJKL are not congruent to each other.
To know more about congruent triangles:
https://brainly.com/question/22062407
#SPJ1
a. Using variables, write out the formula for the point-slope form of the equation.
b. Determine the slope of the line that passes through the points (-2, 1) and (0, 1).
c. Identify the point (-2, 1) as (x1, y1).
d. Write the equation of the line in point-slope form.
Show all work on how you found the slope or determined the slope from the graph. Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.
The point-slope form of the equation is y - 1 = 0
The formula for the point-slope form of the equationFrom the graph, we have the following points
(-2, 1) and (0, 1)
Start by calculating the slope of the points
This is calculated as
slope = (y₂ - y₁)/(x₂ - x₁)
This can be rewritten as
m = (y₂ - y₁)/(x₂ - x₁)
Where
slope = m
(x, y) = (-2, 1) and (0, 1)
So, we have
m = (1 - 1)/(0 + 2)
Evaluate the expression
m = 0
From the question, we understand that:
(x₁, y₁) = (-2, 1)
The equation of the line is then calculated as
y - y₁ = m(x - x₁)
Substitute the known values in the above equation, so, we have the following representation
y - 1 = 0(x + 2)
Evaluate
y - 1 = 0
Hence, the equation of the line is y - 1 = 0
Read more about linear equations at
https://brainly.com/question/13738662
#SPJ1
Mr Corona sells magazines part time. He is paid a monthly commission.
The total commission of Mr. Corona will be equal to $417.62
What is commission?
A commission is a proportion of all sales.
total sales x rate of commission equals commission.
Multiply the commission rate by the total sales to get the commission on a sale. Recall to convert the commission rate from a percent to a decimal first, just as we did for computing the sales tax.
As given in the question,
Mr. Corona receives 21% of the first $1500,
which he exceeded, so he will receive 21% x $1500 = 0.21 x $1500 = $315
He will receive 14$ of the amount over $1500,
which is $2233 - $1500 = $733
Out of this amount, he will be paid $733 x 14% = $733 x 0.14 = $102.62
Therefore, The total commission will be $315 + 102.62 = $417.62
To know more about commission, go to link
https://brainly.com/question/25169847
#SPJ1
Complete Question
Mr. Corona sells magazines part time. He is paid a monthly commission. He receives 21% of his first 1,500 in sales and 14% of the balance of his sales. Last month he sold 2,233 worth of magazine subscription. How much commission did he earn last month?
A cable is 8.9 m long. 10 decimeters =1 meter; therefore, how long this is in decimeters?
Answer:
89 decimeters I THINK...
Step-by-step explanation:
1 m → 10 dm
8.9 m → L(dm)
Solve the above proportion to obtain the length L in decimeters:
L(dm) = 8.9 m × 10 dm
L(dm) = 89 dm
The final result is:
8.9 m → 89 dm
Answer:
89 decimeters
Step-by-step explanation:
8.9 m × 10 = 89 dm
Kyle had 17 cookies and then he bought 25,more cookies. He wants to
share them between himself and 6 friends. How many cookies will each
friend get?
Answer:
6 cookies
Step-by-step explanation:
himself + 6 friend = 7
(17+25)/7
= 42/7
= 6
Each friende get:
6 cookies
Answer:
6 cookies each person
Step-by-step explanation:
kyle had 17 cookieshe then bought 25 more meaning he had now 42 cookies(17+25=42)
he wanted to share them equally between himself and his 6 friends meaning they were 7 people in total thus 42÷7=6Can you kindly help with this please good people.
Answer:
A. Yes
Step-by-step explanation:
Each input corresponds to only one output, which satisfies the definition of a function.
please help asap
math question
Answer:
f(x) = [tex](\frac{1}{4}) ^{x}[/tex]
Step-by-step explanation:
the exponential function is of the form
f(x) = [tex]a^{x}[/tex]
to find a substitute the point (2, [tex]\frac{1}{16}[/tex] ) from the graph into f(x)
[tex]\frac{1}{16}[/tex] = a² ( take square root of both sides )
a = [tex]\sqrt{\frac{1}{16} }[/tex] = [tex]\frac{1}{4}[/tex] , then
f(x) = [tex](\frac{1}{4}) ^{x}[/tex]
A kangaroo hops 2 km in 5 minutes at this rate how far does the kangaroo travel in 3 minutes?
The kangaroo traveled 1.2 km in 3 minutes.
What is distance?
The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line. This will also be perpendicular to the line.
Given,
kangaroo travel the distance in 5 min = 2
in 1 min, the distance covered by kangaroo = 2/5
and in 3 minutes, kangaroo will traveled = 2/5(3) = 1.2 km.
Hence, the distance covered by the Kangaroo in 3 minutes is 1.2 km.
To know more about distance, visit:
https://brainly.com/question/12356021
#SPJ9
