What is the interquartile range of 58,55,54,61,56,54,61,55,53,53?
Answers
The interquartile range of 58,55,54,61,56,54,61,55,53,53 is 6.
To find the interquartile range (IQR), we first need to find the first and third quartiles of the data set. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set. The IQR is then the difference between Q3 and Q1.
To find Q1 and Q3, we first need to put the data set in order from lowest to highest:
53, 53, 54, 54, 55, 55, 56, 58, 61, 61
The median of the entire data set is the average of the two middle numbers, which in this case is (55 + 56) / 2 = 55.5.
To find Q1, we need to find the median of the lower half of the data set, which includes the numbers 53, 53, 54, 54, 55. The median of this lower half is the average of the two middle numbers, which is (53 + 54) / 2 = 53.5.
To find Q3, we need to find the median of the upper half of the data set, which includes the numbers 56, 58, 61, 61. The median of this upper half is the average of the two middle numbers, which is (58 + 61) / 2 = 59.5.
Now that we have Q1 and Q3, we can calculate the IQR as:
IQR = Q3 - Q1 = 59.5 - 53.5 = 6
Therefore, the interquartile range of the given data set is 6.
The IQR is a useful measure of variability because it is not influenced by outliers or extreme values in the data set, unlike the range or standard deviation. The IQR gives us an idea of the spread of the "middle" 50% of the data, which can help us understand the distribution of the data and identify any potential skewness or outliers.
To know more about interquartile range (IQR), refer to the link below:
https://brainly.com/question/31758606#
#SPJ11
Related Questions
Pythagorean Theorem can be done on any three sided triangle?
Answers
Answer: No, the pythagorean Theorem can only be done on right triangles.
Step-by-step explanation:
Hey guys! I need answers really quickly. Thanks!
Answers
Answer:
30 cm²
Step-by-step explanation:
Step 1: Find the value of xy using the formula for area of triangle with 2 sides and an angle between
Area = ½*x*y*sinB
Area of ∆ABC = 30 cm²
sin B = sin 70 = 0.9397
Thus,
30 = ½*x*y*0.9397
30 = (x*y*0.9397)/2
Multiply both sides by 2
60 = xy*0.9397
Divide both sides by 0.9397
60/0.9397 = xy
xy = 63.85
Step 2: calculate the area of ∆PQR with the same formula used in step 1, and also, using the value of the product of x and y gotten in step 1
Area of ∆PQR = ½*x*y*sinQ
x*y = xy = 63.85
sin Q = sin 110 = 0.9397
Area = ½*63.85*0.9397
Area of ∆PQR ≈ 30 cm²
Will make brainiest if 2 people answer :3
Answers
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Points D, C, B, and A are collinear.What is the slope of DC in simplest form?3BDSlope of DC = 0)=
Answers
To answer this question we will use the following formula for the slope of a line:
\(m=\frac{\text{rise}}{\text{run}}\text{.}\)Since A, B, C, and D are collinear then:
\(\text{slope of }\bar{\text{DC}}\text{=slope of }\bar{\text{AB}}\text{.}\)Now, from the given diagram, we get that, for AB:
\(\begin{gathered} \text{rise}=3, \\ \text{run}=4. \end{gathered}\)Therefore:
\(\text{slope of }\bar{\text{AB}}\text{=}\frac{3}{4}\text{.}\)Answer:
\(\frac{3}{4}\text{.}\)I’m so confused help me please!!!
Answers
Answer:
See below
Step-by-step explanation:
So here, the transformation that occurred was a reflection across the line x=0. As you may observe, the x-coordinate stays the same, but the y-coordinate is the opposite sign. For example, vertex N is located at (-2,1) while vertex N' is located at (-2,-1) which shows that the sign of the y-coordinate changed.
Please help me solve this it’s really important
Answers
Answer:first you have to link the picture in the question then I can solve
Step-by-step explanation:
How to solve quadratic equation by completing the square method
Answers
The completing the square method is a method for solving a quadratic equation in the form of ax2 + bx + c = 0.
To solve a quadratic equation by completing the square, the equation must first be written in the form of ax2 + bx = -c. The next step is to add (b/2)2 to both sides of the equation. This will give the equation (ax2 + bx + (b/2)2 = -c + (b/2)2. Then, factor the left side of the equation as a perfect square. The equation should now be in the form of (x + (b/2a))2 = -c + (b/2)2 + (b/2a)2. The final step is to take the square root of both sides of the equation, resulting in x = -(b/2a) ± √(-c + (b/2)2 + (b/2a)2). This is the solution to the quadratic equation.
For example, consider the equation 2x2 + 8x = -4.
2x2 + 8x + (8/2)2 = -4 + (8/2)2
(2x + 4)2 = -4 + 16
2x + 4 = ±√20
x = -4 ± √20/2
Therefore, the solutions to the equation are x = -4 ± √5.
Learn more about quadratic equation here:
https://brainly.com/question/30098550
#SPJ4
Evaluate the iterated integral. The first integral is 0 to 2 and the second integral is 2 to 3. xy^2 dx dy. Please show step by step with detail. Thanks
\int \int xy^2 dx dy
Answers
On a coordinate plane, a line and a point are shown. Line G H has points (negative 4, 1) and (2, negative 2). Point J is at (1, 3). Which points could be on the line that is parallel to Line G H and passes through point J? Check all that apply.
Answers
The only point that could be on the line parallel to line GH and passes through point J is (3, 3).
To identify the points that could be on the line parallel to line GH and passes through point J, we need to apply the concept of slope of a line and parallel lines. Two lines are parallel if they have the same slope.Let's first find the slope of line GH using the slope formula m = (y2 - y1) / (x2 - x1)The points on line GH are (–4, 1) and (2, –2)m = (–2 – 1) / (2 – (–4)) = –3 / 6 = –1 / 2Therefore, the slope of line GH is –1 / 2.Let's now find the equation of the line that is parallel to line GH and passes through point J. We know that the slope of this line is also –1 / 2 since it is parallel to line GH.Using the point-slope form of a linear equation, the equation of the line isy - y1 = m(x - x1)where (x1, y1) = (1, 3) and m = –1 / 2So, the equation of the line isy - 3 = –1 / 2 (x - 1)Multiplying by 2 on both sides to remove the fraction, we get:2y - 6 = –x + 1x + 2y = 7This is the equation of the line parallel to line GH and passes through point J.Let's now check the options to see which points lie on this line.(0, 7): This point does not lie on the line since 0 + 2(7) ≠ 7.(-4, 2): This point does not lie on the line since –4 + 2(2) ≠ 7.(1, 5): This point does not lie on the line since 1 + 2(5) ≠ 7.(2, 4): This point does not lie on the line since 2 + 2(4) ≠ 7.(3, 3): This point lies on the line since 3 + 2(3) = 7.
For more such questions on parallel
https://brainly.com/question/30097515
#SPJ8
To the nearest tenth of a foot, what is the thickness, T, of the cantilever at x=6 feet?
Answers
The nearest tenth of a foot, the thickness T of the cantilever at x = 6 feet is 7.6 feet.
The given equation for the bottom edge of the cantilever is y = 2Vx, where V is the height of the cantilever. Therefore, the height of the cantilever is:
V = y / (2x)
At x = 6 feet, the value of y is:
y = 2Vx = 2(3.2) = 6.4 feet
To find the thickness T at x = 6 feet, we can use the Pythagorean Theorem:
T² = b² - y²
where b is the height of the cantilever. We have already calculated V to be 3.2 feet, so:
b = 3.2 + y = 3.2 + 6.4 = 9.6 feet
Substituting these values into the equation for T², we get:
T² = (9.6)² - (6.4)² = 57.76
Taking the square root of both sides, we get:
T ≈ 7.6 feet
Learn more about the thickness at
https://brainly.com/question/30627552
#SPJ4
PLEASE HELP WILL MARK BRAINLIEST!! DUE SOON
Answers
Answer:
i cant reall read the screen sorry
Step-by-step explanation:
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 3.0 and 3.5 and between 4.0 and 4.5
B. between 3.5 and 4.0 and between 4.0 and 4.5
C. between 4.0 and 4.5 and between 4.5 and 5.0
D. between 3 .5 and 4.0 and between 4.0 and 4.5
E. between 3 .5 and 4.0 and between 5.0 and 5.5
Answers
3.5 is the middle of 4.0
And 5.5 is half of 5.0
Answer:
between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
Plato/Edmentum
select the correct answer
Answers
(
−
8
x
2
−
5
x
+
8
)
−
(
−
6
x
2
+
3
x
−
3
)
(−8x
2
−5x+8)−(−6x
2
+3x−3)
Answers
The simplified expression representing (−8x²−5x+8)−(−6x²+3x−3) is given as follows:
14x² - 8x + 11.
How to simplify the expression?The expression for this problem is presented as follows:
(−8x²−5x+8) − (−6x²+3x−3).
The first step towards simplifying the expression is removing the negative signal from the expression, inverting the signal of each term inside the second parenthesis, hence:
(−8x²−5x+8) − (−6x²+3x−3) = 8x² - 5x + 8 + 6x² - 3x + 3.
(the first parenthesis can be removed with no changes as there is not any signal in front of it).
Then the like terms, which are the terms with the same variable and same exponent, are added, adding the coefficients and keeping the variables and exponents, as follows:
8x² and 6x²: 8x² + 6x² = 14x².-5x and -3x: -5x - 3x = -8x.8 and 3: 8 + 3 = 11.The simplified expression is obtained by these three additions of the like terms above, hence:
14x² - 8x + 11.
Missing InformationThe problem is incomplete, and it asks for us to simplify the given expression.
More can be learned about the simplification of an expression at brainly.com/question/723406
#SPJ1
Alex, Cameron and Sam are all taking part in a 400 m race.
They are each running at a different constant speed.
Alex is running 12% faster than Cameron, whilst Sam is running 2% slower than Cameron.
When Alex crosses the finish line, how many metres is Sam from the finish line?
Answers
Answer:
A= C + 12%C = 1.12C
S=.C -2%C = .98C
A,C and S are the speeds of Alex, Cameron and Sam
400 meter race
how far is Sam from the finish line when Alex crosses the finish line?
distance = speed times time
400 = AT where T=Alex' finish time
400=1.12T
400=CU where U = Cameron's finish time
400=SV where V = Sam's finish time
T<U<V
Alex' finish time is less than Cameron's finish time is less than Sam's finish time
if Cameron runs at 20 meters per second, finishing in 20 seconds
then Sam is about 50 meters from the finish line when Alex finishes
sorry if i´m too late, hope this helps!
an american roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. what are the odds for the ball landing in an even-numbered slot? to what are the odds aganst the ball landing in an even-numbered slot?
Answers
The Odds in favour for ball landing on even is 10 to 9.
The Odds against for ball landing on even is 9 to 10.
The given number of slots is 38.
By using the empirical formula of probability we have,
P(E) = (number of times an event occurs) / (total number of trials)
There are 20 ways it can land on even slot
{0,00,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36}
The probability of ball landing on even slot= 20/38
The landing on even number = favorable cases to unfavorable cases
The probability of ball landing on even slot= 20/38 = 10/9
Therefore, Odds for ball landing on even is 10 to 9.Odds against ball landing on even is 9 to 10.
To learn more about Odds in favour and Odds against refer here:
https://brainly.com/question/29124877#
#SPJ4
2,994 divided by 128 i need help
Answers
That is your answer
Answer:
Divide 320 by 128 to get 2
23.39062
128| 2994.00000
256
____
434
384
_____
500
384
_____
1160
1152
____
80
0
___
800
768
_____
320
256
_____
64
Stopping at 5 decimal places
The solution for Long Division of 2994/128 is 23.39062
23.39062
HELP ASAP ASAP ASAP PLS PLS JUST PLS
Answers
i hope my answer help you
1st=5x-100
2nd=1/3x-7
3rd=x²×4
someone please help...
Answers
Answer:
2 1/3
1 4/3
2.333...
233.3...%
Step-by-step explanation:
PLEASE HELP!!!!! Match each equation with its slope
(I also have another question like his in my profile)
Answers
Answer: 1. E
2. B
3. C
4. F
5. D
6. A
Step-by-step explanation:
What is the value of R in an appropriate degree of accuracy
Answers
Answer:
Finished
Step-by-step explanation:
-Multiple the exponents together
-keep ×10 the same so you can apply the second law of exponents
-Then divide and subtract the exponents of ×10
-Let the 14.44 and 5.9 divide each other
-Leave it like that because it's standard form
Please help me
Please, I beg you.
Answers
Answer:
a reflection followed by a translation
Step-by-step explanation:
Estimation Gabe goes to the mall. If k is the number of items he bought, the
expression 12.92k + 27 gives the amount he spent in dollars at one store. Then he
spent 20 dollars at another store. Find the expression which represents the amount
Gabe spent at the mall. Then estimate how much Gabe spent if he bought 2 items.
Answers
The total spent at the mall by Gabe is $72.84 and the expression which represents the amount is 12.92 k + 27 + 20 or 12.92 k + 47.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
12.92 k + 27, where k is the number of items bought,
Calculate the expression which represents the amount Gabe spent at the mall as shown below,
Total amount = Amount spent in one store + Amount spent in the second store
Total amount = 12.92 k + 27 + 20
Calculate the estimate of Gabe spent by putting k = 2,
Total spent in mall = 12.92 × 2 + 27 + 20
Total spent in mall = 25.84 + 47
Total spent in mall = $72.84
Therefore, the total spent at the mall by Gabe is $72.84, and the expression which represents the amount is 12.92 k + 27 + 20 or 12.92 k + 47.
To know more about the expression:
https://brainly.com/question/13947055
#SPJ1
Use trigonometry to find the value of angle C. Round your answer to the nearest whole number.
A. 49
B. 41
C. 38
D. 53
Answers
Answer: B
Step-by-step explanation:
To find angle C, you want to look at 14 and 16. From angle C, we have \(tanC=\frac{opposite}{adjacent}\). This tells us to use tangent. We use the values to fill into tangent.
\(tanC=\frac{14}{16}\)
In order to find the value of C, we have to find inverse tangent.
\(tan^-^1(\frac{14}{16} )=C\)
\(C=41.2=41\)
Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0,1]. lim n tends to infinity 1/n(1/n^1/2+2/n^1/2+3/n^1/2+.....n/n^1/2)
Answers
Answer:
so67 =9
Step-by-step explanation:
11. What is the solution to
-2.5(4x-4)= -6?
x=
Answers
\(-2.5(4x-4)= -6\)
Distribute:
\((-2.5)(4x)+(-2.5)(-4)=-6\)
\(-10x+10=-6\)
Subtract 10 from both sides:
\(-10x+10-10=-6-10\)
\(-10x=-16\)
Divide both sides by -10:
\(\dfrac{-10x}{-10} =\dfrac{-16}{-10}\)
\(\fbox{x = $\dfrac{8}{5} $}\)
Answer:
-2.5. or - 2.5= they are the same
Please help me with this.
Answers
shen wants to earn more than $33 trimming trees. he charges $8 per hour and pays $7 in equipment fees. what are the possible numbers of hours shen could trim trees?
Answers
The answer is 4.375 hours.
Since this is not a whole number, Shen will need to trim trees for at least 5 hours in order to earn more than 33.
In order to answer this question, we need to know how much Shen is wanting to earn and what his rate of pay and equipment fees are. You've stated that Shen wants to earn more than 33 trimming trees and that he charges 8 per hour and pays 7 in equipment fees.
The formula to solve this problem is:
Earnings = Rate of Pay x Number of Hours – Equipment Fees
Therefore, we can calculate the number of hours Shen needs to trim trees in order to earn more than 33.
Number of Hours = (Earnings + Equipment Fees) / Rate of Pay
Substituting in the values provided in the question:
Number of Hours = (33 + 7) / 8
+ 4.375 hours.
for such more question hours
https://brainly.com/question/10929133
#SPJ11
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? O a. A small alpha level reduces the effect size. O b. A small alpha level increases statistical power. c. A small alpha level reduces the likelihood of a Type I error. O d. A small alpha level increases the likelihood of detecting statistical significance
Answers
The influence of a small alpha level in the context of hypothesis testing is:
c. A small alpha level reduces the likelihood of a Type I error.
What is null hypothesis?A hypothesis known as the null hypothesis states that sample observations are the result of chance.
The correct statement regarding the influence of a small alpha level in the context of hypothesis testing is:
c. A small alpha level reduces the likelihood of a Type I error.
A small alpha level (typically denoted as α) is the significance level used in hypothesis testing to determine the threshold for rejecting the null hypothesis. By setting a small alpha level, such as 0.01 or 0.05, we are reducing the probability of making a Type I error, which is the incorrect rejection of a true null hypothesis.
In other words, a small alpha level provides a stricter criterion for rejecting the null hypothesis, making it less likely to reject the null hypothesis when it is true. This reduces the likelihood of claiming a significant result when there is no true effect or relationship in the population.
Learn more about null hypothesis on:
https://brainly.com/question/28042334
#SPJ4
crystal is 12 yearold and alexa is 6 years old.if crystal runs 100 yards how far does alexa run?how far do they run together?
Answers
Answer:
Alexa will run 50 yards.
They will run 150 yards together.
Step-by-step explanation:
Since Crystal is twice the age of Alexa, we can divide 100 yards by 2, and Alexa will only be running 50 yards.
Since Crystal ran 100 yards, and Alexa ran 50 yards:
100 + 50 = 150 yards ran together.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 14 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!