According to the given statement the values are:
The range = 19
Interquartile Range will be = 8.25
Sample Variance =33.93
Sample Standard deviation = 5.82
What is Interquartile Range?The dispersion of your data's middle quartile is measured by the interquartile range (IQR). It is the range for your sample's middle 50%. Assess geographical variability where the majority of your numbers are by using the IQR. Larger numbers suggest a wider dispersion of your data's center region.
According to the given data:
finding the range = Maximum value + Minimum value
= 34 - 15
= 19
The range = 19When ordering the observations, we obtain:
15,20,24,26,26,27,30,34
Where ,
n = 8
Q1=(n+14)the observation's term value
=(94)the observation's term value
=(2.25)the observation's term value
=2nd observation +0.25[3rd-2nd]
=20+0.25[24-20]
=20+0.25(4)
=20+1
=21
Q3=(3(n+1)4)the observation's term value
=(3⋅94)the observation's term value
=(6.75)the observation's term value
=6th observation +0.75[7th-6th]
=27+0.75[30-27]
=27+0.75(3)
=27+2.25
=29.25
Now finding the Interquartile Range
= Q3 -Q1
= 29.25 - 21
=8.25
The Interquartile Range will be = 8.25
Sample Variance S2=∑x2-(∑x)2nn-1
=5338-(202)28/7
=5338-5100.5/7
=237.57
=33.9286
Sample Variance =33.93
Sample Standard deviationS=√∑x2-(∑x)2nn-1
=√5338-(202)28/7
=√5338-5100.5/7
=√237.5/7
=√33.9286
=5.8248
Sample Standard deviation = 5.82
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Solve inequality.
t+8 ≥ 19
To solve the inequality, subtract 8 from both sides. The solution is t ≥ 11 or [11, ∞)
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
t+8 ≥ 19
Subtract 8 from both sides. Subtracting a number from both sides will not change the inequality. Hence,
t+8 - 8 ≥ 19 - 8
t ≥ 11
Using the interval notation, the solution is [11, ∞)
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I dont know why i dont get it
Answer:
12 miles+14 miles+18 miles+12 miles+15 miles= 71 miles.
Step-by-step explanation:
Give the full question next time alright?
20% de los animales en un centro de rescate de animales son gatos. ¿Qué porcentaje son perros?
Answer:
80% son perros,
Step-by-step explanation:
Se considera que el total corresponde al 100%
Por tanto:
100% - 20% = 80%
Paper weighs 4.9 kg for every 500 sheets, how much will 700 sheets weigh?
Answer:
6.86 kg
Step-by-step explanation:
Here ,apparently the weight and number of sheets are proportional.
Let m be the weight of 700 sheets.
[tex]\text{} \begin{matrix}500\ \text{sheets} \text{} \longrightarrow 4.9\ \text{kg} \\ 700\ \text{sheets} \text{} \longrightarrow m\ \text{kg} \end{matrix}[/tex]
coefficient of proportionality :
[tex]\text{} \text{The coefficient of proportionality is equal to :} \ \frac{700}{500} =\frac{7}{5}[/tex]
Then
[tex]\frac{m}{4.9} = \frac{7}{5}[/tex]
Then
[tex]m = \frac{7}{5} \times 4.9 =6.86 \ \text{kg}[/tex]
is -2/7 rational or irrational
Answer:
rational
Step-by-step explanation:
Rational numbers are able to be denoted as a ratio. -2/7 is a ratio, so it is rational.
the perimeter of a one rectangular deck is 78 feet. the length of deck can be represented as (2x 3), and its width can be represented as (3x-4). the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x 6) and a width of (6x -1). what is the value of x of the first rectangular deck?
The value of x of the first rectangular deck is 8.
For given question,
The perimeter of a one rectangular deck is 78 feet.
The length of the first rectangular deck is represented as (2x + 3), and its width is represented as (3x-4).
Similarly, the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x + 6) and a width of (6x -1).
We need to find the value of x of the first rectangular deck.
Let P1 be the perimeter of the first rectangular deck.
⇒ P1 = 2 × (length + width)
⇒ 78 = 2 × [(2x + 3) + (3x - 4)]
⇒ 39 = (2x + 3x + 3 - 4)
⇒ 39 = 5x - 1
⇒ 40 = 5x
⇒ x = 40/5
⇒ x = 8
Therefore, the value of x of the first rectangular deck is 8.
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If one book is 2.5 inches wide and another is 1.754 inches wide, how much wider is the first?
Bro please help ima fail
In the picture there are 10 question.
1. Identify the 1st 10 perfect squares?
The 1st 10 perfect squares are 1,4,9,16,25,36,49,64,81 and 100.
[tex]1^{2} =1\\2^{2} =4\\3^{2} =9\\4^{2} =16\\5^{2} =25\\6^{2} =36\\7^{2} =49\\8^{2} =64\\9^{2} =81\\10^{2} =100\\[/tex]
2. What does it mean for a number to a perfect square? provide an example.
By squaring a whole number or an integer, one can create perfect squares. Let's examine an illustration to get the idea behind perfect squares. We can use a set of four and a second set of six marbles for this. Let's set the marbles in order.
See the figure(1).
With four marbles, we can create a square with two rows and two marbles in each row. We can create a rectangle with 6 marbles that has 2 rows with 3 marbles in each row. It signifies that 4 = 2[tex]\times[/tex]2 and 6 = 3[tex]\times[/tex]2 mathematically. Let's concentrate just on the square-shaped numerals. Here, 4 = 2 × 2 = [tex]2^{2}[/tex].
Square A is smaller then Square B. Square B is smaller then Square C.
The 3 Square side length are3,4.2 and[tex]5\frac{1}{2}[/tex].
complete the equation each of the square shown.
3. Square A=Area=[tex]3^{2}[/tex]=9
4. Square B= Area=[tex]4.2^{2}[/tex]=17.64
5. Square C=Area= [tex]\frac{5}{2} =\frac{25}{4}[/tex]
Find the length of the side of the square for each area is given
6.81 square inches
Area=81=[tex]s^{2}[/tex]
s=9
7. [tex]\frac{4}{25} cm[/tex]
area=[tex]\frac{4}{25} cm[/tex]=[tex]s^{2}[/tex]
s=[tex]\frac{2}{5}[/tex]
8.0.49 Square unit
area=0.49=[tex]s^{2}[/tex]
s=0.7
The graph represent the equation [tex]y=x^{2}[/tex].
9.complete the table of values to find corresponding y-values.
if x =-1.4
Substituting in the equation [tex]y=x^{2}[/tex]
Then y=[tex]-1.4^{2}[/tex]
y=1.96.
Therefore, (x,y)=(-1.4,1.96)
if x =-1
Substituting in the equation [tex]y=x^{2}[/tex]
Then y=[tex]-1^{2}[/tex]
y=1.
Therefore, (x,y)=(-1,1)
if x =0
Substituting in the equation [tex]y=x^{2}[/tex]
Then y=[tex]0^{2}[/tex]
y=0.
Therefore, (x,y)=(0,0)
if x =[tex]\frac{2}{5}[/tex]
Substituting in the equation [tex]y=x^{2}[/tex]
Then y=[tex](\frac{2}{5}) ^{2}[/tex]
y=[tex]\frac{4}{25}[/tex].
Therefore, (x,y)=([tex]\frac{2}{5}[/tex],[tex]\frac{4}{25}[/tex])
if x =2
Substituting in the equation [tex]y=x^{2}[/tex]
Then y=[tex]2^{2}[/tex]
y=4.
Therefore, (x,y)=(2,4)
10. why the graph of equation [tex]y=x^{2}[/tex] is above x-axis.
Because the [tex]y=x^{2}\\[/tex] the x values are always positive because x as a square. So, the equation is always on x- axis or above x-axis.
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Find the range of the data set: 10,18, 21, 28, 12, 20
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The range is the greatest number minus the number with the least value.
28 - 10 = 18
PLS HELP 50 PTS AND BRAINLY
Answer: Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13×55)+(25×33)=?
Complete the multiplication and the equation becomes
515+615=?
The two fractions now have like denominators so you can add the numerators.
Then:
5+615=11/15
This fraction cannot be reduced.
Therefore:
13+25=11/15
Step-by-step explanation: hope this helps!!!!
Answer:The answer would be 11/15 mile
Step-by-step explanation:
The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. find the total weight of the two animals. write the final answer in scientific notation with the correct number of significant digits.
The total weight of two animals in scientific notation is 1.3 x 10⁴ lbs.
Scientific Notation:
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
For example,
650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸.
Given,
The approximate weights of two animals are 4.23 x 10³ lbs. and 8.7 x 10³ lbs.
Here we need to find the total weight of the two animals and we need to write the final answer in scientific notation with the correct number of significant digits.
The total weight of the two animals is calculated as
Total weight = Animal 1 + Animal 2
So,
Total weight = 4.23 x 10³ lbs + 8.7 x 10³ lbs.
Take 10³ lbs as the common term,
Then we get,
Total weight = (4.23 + 8.7) x 10³ lbs.
Total weight = 12.93 x 10³ lbs.
It can we rewritten as,
Total weight = 1.293 x 10⁴ lbs.
When we round off it, then we get,
Total weight = 1.3 x 10⁴ lbs.
Hence, the total weight of the two animals is 1.3 x 10⁴ lbs.
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What is the answer for 35% of 21?
Answer:
7. 35
Step-by-step explanation:
21/x=100/35
(21/x)*x=(100/35)*x - we multiply both sides of the equation by x
21=2.85714285714*x - we divide both sides of the equation by (2.85714285714) to get x
21/2.85714285714=x
7.35=x answer
x=7.35
now we have:
35% of 21=7.35
what is the value of x of triangle srq?
The value of "x" in the given figure and question is 20 units.
As per the question statement, We are given a figure in which we are supposed to find the value of x.
Before solving the question, if we observe the figure, we can conclude that this question will include the concepts of right angled triangle or specifically Pythagoras Theorem, which states that
[tex]Perpendicular^{2} + base^{2} = hypotenuse^{2}[/tex] where perpendicular, base and hypotenuse are the three sides of the right angled triangle.
In Triangle RTQ
using Pythagoras Theorem
[tex]RQ^{2} = TQ^{2} +TR^{2} \\RQ=x\\x^{2} = 16^{2} + TR^{2} \\TR^{2} = x^{2} -16^{2}[/tex]
Now considering triangle SRT
using Pythagoras Theorem
[tex]SR^{2} = RT^{2} + ST^{2} \\SR^{2} = (x^{2} -16^{2}) +9^{2}\\[/tex]
Now considering triangle RSQ
using Pythagoras Theorem
[tex]SQ^{2} = SR^{2} +RQ^{2} \\(9+16)^{2} = SR^{2} + RQ^{2} \\(9+16)^{2} = x^{2} -7^{2}+x^{2} \\ (9+16)^{2} =2x^{2} -7^{2} \\25^{2}+7^{2} = 2x^{2}[/tex]
[tex]2x^{2} =674[/tex]
[tex]x^{2} =337\\x=\sqrt{337} \\x=18.357[/tex]
Therefore x = 18.357 approx 20 units.
Pythagoras Theorem: The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.To learn more about Pythagoras Theorem, click on the link given below:
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The latitude of the U.S. Embassy is 48° north of the equator. If the diameter of the earth is 7920 miles, how far is the U.S.
Embassy from the equator?
Answer:
use air math personal tutors to help you and help you show your work!
Step-by-step explanation:
40, 24, 72/5
Find the 10th term
Answer:
0.24186
Step-by-step explanation:
40 x (3/5) = 24
24 x (3/5) = 72/5 or 14.4
Keep multiplying 3/5 or 0.6
= 0.24186
How would I multiply these matrices? (I thought this would be undefined but my teacher said it wasn’t)
When we do Matrix multiplication, we keep these two conditions in mind: 1 The number of columns of the first matrix in the multiplication process must equal the number of rows of the second.
here number of columns of 1st matrix is not equal to number of rows of 2nd matrix.
To multiply two matrices, we must first determine if the first matrix's number of columns and rows equals the second matrix's number of rows. Then sum all of the results after multiplying each element of the first matrix's column by each element of the second matrix's row.
In dealing with many ideas in linear algebra, matrices are crucial. In mathematics, a matrix is a rectangular array or table with rows and columns of integers, symbols, or expressions. Matrix operations include addition, subtraction, multiplication, and other operations.
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What is the most specific name for the figure?
A(0,-2a)
B(-3a,-2a)
C(-3a,a)
D(0,a)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
The most specific name for the figure in the image is a Rectangle. Option C
This is further explained below.
What is the most specific name for the figure?Generally, A Rectangle is regarded as a regular quadrilateral under the tenets of Euclidean geometry since it has four sides of equal length amongst opposite sides
It may also be thought of as a rectangle with two adjacent sides that are equal in length.
The word coordinate has the same pronunciation as the word o-ordinate. These expressions may denote having the same status or rank, having to do with coordination, or having to do with an intersection of indices when employed as adjectives.
In conclusion, A square is the most accurate description of the shape that can be seen in the picture. Alternative B
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At his last track meet, kenneth ran the 400-meter dash in 54 seconds. his friend madelyn bet him that he couldn't run a whole kilometer at that pace, but kenneth is determined to prove her wrong. how many minutes would he have to run at this pace to win the bet? write your answer as a whole number, decimal, or simplified fraction. do not round.
Kenneth will have to run 2.25 minutes at the same speed to win the bet.
What is Speed?Speed is the rate of movement of an object along a path in time.
=> [tex]Speed =\frac{Distance}{Time}[/tex]
Now,
Given:
Kenneth ran 400m in 54s.To find: Number of minutes to maintain the speed to win the bet.
Finding:
According to the information given in the question,
The speed in minutes = [tex]\frac{400}{54}(60)[/tex] = 444.44 meter/min
Since Kenneth is determined to run at this speed for 1 km, he will have to maintain it for:
=> [tex]\frac{1000}{444.44}[/tex] = 2.25 minutes (As [tex]Speed =\frac{Distance}{Time}[/tex], => [tex]Time=\frac{Distance}{Speed}[/tex])
Hence, Kenneth will have to run 2.25 minutes at the same speed to win the bet.
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The square of a certain negative number is equal to five more than one-half of that number. What is the number?
-2
-5/2
-1/2
Answer:
-2
Step-by-step explanation:
what is the answer to
3z+2=z+15
Answer:
z=13/2
Step-by-step explanation:
Answer:
z = 6.5
Step-by-step explanation:
3z + 2 = z + 15
-2 -2
3z = z + 13
-z -z
2z = 13
2
z = 6.5
Five ounces of pretzels are put into each bag. How many bags can be made from 20 pounds of pretzels?
Each pound has 16 ounces in it.
20 pounds would be 16 x 20 ounces = 320 ounces.
If each bag has 5 ounces in it, that's 320 / 5 bags = 64 bags.
Pls give brainliest.
Find an equation of the plane through(1,1,1) that contains the linere presented by the parametric equationsx= 2t;y= 1t;z= 2 3t:
To calculate the equation of the plane from the given information which is as follows:
The plane contains the line that is [tex]x = 2t; y = 1t; z =2-3t[/tex] which are passing through [tex](1,1,1).[/tex]
The standard formula for the equation of the plane is: [tex]a(x-x(0))+b(y-y(0))+c(z-z(0))=0.[/tex]
And the equation of the line is: [tex]\frac{(x-x(0))}{a} = \frac{(y-y(0))}{b} = \frac{(z-z(0))}{c}[/tex]
As per the given data, the value of [tex]a = b = c = 1.[/tex]
And when[tex]t=0: x=0;y=0;z=2[/tex]
Now, the final expression can be rewritten as: [tex]x=y=z-2[/tex]
And the equation of the line can be rewritten as:
[tex](x)+(y)+(z-2)=0.[/tex]
[tex]x+y+z-2 = 0[/tex]
What is the equation of the line?
To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.
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i need help if you help me it will be much helpfull thank you
Answer:
Step-by-step explanation:
Answer is D
509
-106
403
4 hundred and 3 ones
Can I get help on number 3 please
How do you divide 8 out of 5
Answer:
if you mean 8 divided by 5 then use long division which will result in 1 with a remainder or 3 or 1.6
Answer:
8/5=1.6
Step-by-step explanation:
There's no step by step for explaining this answer. Or nothing that I can think of
Nine less then a number is four
Answer: 13 (simplified)
Step-by-step explanation: 9 + 4= 13, minus 9 equals 4
Answer: Question: x-9=4
Step-by-step explanation: X is 13
Analizeaza urmatoarele verbe mentionand persoana si numarul! a plecat,vei ajunge,sa mearga
Answer: I dont understand what your saying
Step-by-step explanation:
Are you speaking a diffrent language
Answer:
in English: let,will,arrive,let,go
in Romanian: lasa, va, sosi, lasa, pleca
Step-by-step explanation:
I think the language is Romanian
an online shoe brand ran two conversion lift studies. test 1 resulted in the control group showing a 20% conversion rate while the test group showed a 25% conversion rate. the results were significant at 60%. test 2 resulted in a 20% conversion rate in the control group while the test group showed a 30% conversion rate. these results were 95% significant.
To boost their incremental ROAS, the marketing team plans to increase reach as much as feasible.
What is market science?
Using data to support decision-making objectively is central to marketing as a science. Knowing how to analyze data and spotting typical mistakes or misrepresentations in interpretations are key.
The analyst conclude -
Test 2's results were more trustworthy than Test 1's because Test 2 demonstrated a 10% difference in lift between the test and control groups and was conducted with a higher confidence level.When conducting randomized control trials utilizing their ads, an e-commerce company wants to know how reach affects the incremental ROAS outcomes.To compare reach and ROAS for each campaign ran in the previous year, the company compiles data on past campaign performance and builds a scatterplot. Over the past year, they have made numerous changes to their marketing strategy, including changes to targeting, bidding tactics, and optimization measures. To boost their incremental ROAS, the marketing team plans to increase reach as much as feasible.Learn ore about market science
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Number 67.89 is rational or irrational with explanation
Answer:
67.89 is rational
Step-by-step explanation:
67.89 is a terminating decimal, so it is a rational number.
What is 1.3 x 10^4 in standard notation?
Answer: 13000
Step-by-step explanation:
So I believe this may be the answer though I'm not very good at this.
Answer: 13,000
Step-by-step explanation:
First look at the first number given and it's decimal place.
Once you figure the decimal place look for the number it is being multiplied by.
Next look at the number it's to the power to.
In this case the number is 4 so the decimal place of the first number will be moved over to the right 4 times.
Next look at the second number given and calculate what the number is to the power of and after multiply the first given number.
Lastly, once you have multiplied You will receive your final given answ⊕er and that will be the standard form.