Answer:
0.2
Step-by-step explanation:
4.5 + 3.2 = 7.7
7.7 - 7.5 = 0.2
The following data points represent the volume of gas in each race car driver's tank (in liters). Sort the data from least to greatest. Find the interquartile range (IQR) of the data set. \text{L}Lstart text, L, end text \text{L}Lstart text, L, end text
Answer:
its \text{L}Lstart text, L, end text
Step-by-step explanation:
The sorting of the dataset and the information from the five number summary, which includes the three quartiles and the minimum and maximum values indicates that we get;
1. 2.8, 4, 4.3, 6, 7.5, 8.5, 9, 11.6, 12, 12.1
2. The interquartile range is; 7.745
What is the five number summary of interquartile range of a data set?The five number summary includes the first, second and third quartiles, Q₁, Q₂, and Q₃, and maximum and minimum values of the dataset, which serves to describe the characteristics of the data.
here, we have,
1. The sorted data from least to greatest can be presented as follows;
2.8, 4, 4.3, 6, 7.5, 8.5, 9, 11.6, 12, 12.1
Therefore, the original data in the question is already sorted from least to the greatest
2. The interquartile range, IQR, is the the difference between the third quartile, Q₃, and the first quartiles, Q₁, of the data.
IQR = Q₃ - Q₁
The dataset indicates that we get;
The number of datapoints in the dataset, n = 10
The first quartile = The (N + 1)/4 percentile value
First quartile, Q₁ = (10 + 1)/4 × 10 = The 2.75th value
The 2.75th value is the value 0.75 = 3/4 larger than the 2nd value, which can be found as follows;
Q₁ = The 2.75th value = 4 + (4.3 - 4) × (3/4) = 4.225
The third quartile, Q₃ = The (N + 1) × (3/40th value, therefore;
Q₃ = The (10 + 1) × (3/4)th value = The 8.25th value (The value 0.25th more than the 8th value )
Q₃ = 11.6 + (12 - 11.6) × 0.25 = 11.7
The interquartile range, IQR = 11.7 - 4.225 = 7.475
The interquartile range = 7.475
Learn more on the interquartile range of a dataset here: brainly.com/question/13119591
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Complete question:
The following data points represent the volume of gas in each race car driver's tank (in liters).
Answer 2 questions about the data set.
1. Sort the data from least to greatest.
2.8
4
4.3
6
7.5
8.5
9
11.6
12
12.1
2. Find the interquartile range (IQR) of the data set.
L
PLZ HELP ME ! Solve for k
Step-by-step explanation
meaning of cube root
Answer:
The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. See: Square Root. Cubes and Cube Roots.
You borrow $350 from your aunt and agree to repay her $400 ($350 principal + $50 interest) in 18 months. What interest rate (using simple interest, and to the nearest tenth) are you paying?
Answer:
The interest rate is 0.79% per month.
Step-by-step explanation:
Present value of borrowed amount = $350
Future value of borrowed amount = $400
Interest amount = $50
Time duration = 18 months or 1.5 years
Now we have to find the rate of interest by using the above information. Here below is the calculation of interest rate.
Interest rate = P×R×T
50 = 350 × R×18
R = 0.007936
Or, R = 0.79% per month.
Need help on 3 thank you
Answer:
Cost: $10.00
Number of Tickets:26
Step-by-step explanation:
Each ticket is $0.50
20*$0.50=$10.00
For the tickets:
$13.00/$0.50=26 tickets
27x + 45y and 7(9x + 7y) are these equivalent?
Answer:
No
Step-by-step explanation:
If you want to know whether they are equivalent or no, we will first have to find the value of both.
[tex]27x+45y[/tex]
Since there aren't any like terms here, your answer would be
[tex]27x+45y[/tex]
Let's solve for next one.
[tex]7(9x+7y)[/tex]
Let's add in parenthesis to 7.
[tex](7)(9x+7y)[/tex]
Now we will separate everything. And also you will have to add.
[tex](7)(9x)+(7)(7y)[/tex]
Now that we added we got our answer.
[tex]63x+49y[/tex]
Both values were not the same, so therefore, your answer is no, they are not equivalent.
Hope this helps!
No
Step-by-step explanation:
If you want to know whether they are equivalent or no, we will first have to find the value of both.
Since there aren't any like terms here, your answer would be
Let's solve for next one.
Let's add in parenthesis to 7.
Now we will separate everything. And also you will have to add.
Now that we added we got our answer.
Both values were not the same, so therefore, your answer is no, they are not equivalent.
Hope this helps!
Read more on Brainly.com - https://brainly.com/question/17379473#readmore
find 3+root 2/3-root 2=a+b root2
Answer:
a = [tex]\frac{11}{7}[/tex] ; b = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]\frac{3 + \sqrt{2}}{3 - \sqrt{2} } = a + b\sqrt{2} \\\\[/tex]
Rationalising [tex]\frac{3 + \sqrt{2}}{3 - \sqrt{2} }[/tex] gives :-
[tex]\frac{3 + \sqrt{2}}{3 - \sqrt{2} } = \frac{(3 + \sqrt{2})(3 + \sqrt{2})}{(3 - \sqrt{2})(3 + \sqrt{2}) } = \frac{(3 + \sqrt{2})^2}{3^2 - (\sqrt{2})^2 } = \frac{11 +6\sqrt{2} }{7}[/tex]
Comparing [tex]\frac{11 + 6\sqrt{2} }{7}[/tex] with [tex]a + b\sqrt{2}[/tex] gives
a = [tex]\frac{11}{7}[/tex] & b = [tex]\frac{6}{7}[/tex]
Answer:
[tex]\frac{11}{7}[/tex] + [tex]\frac{6}{7}[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3+\sqrt{2} }{3-\sqrt{2} }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of 3 - [tex]\sqrt{2}[/tex] is 3 + [tex]\sqrt{2}[/tex] , thus
= [tex]\frac{(3+\sqrt{2})(3+\sqrt{2}) }{(3-\sqrt{2})(3+\sqrt{2}) }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{9+6\sqrt{2}+2 }{9-2}[/tex]
= [tex]\frac{11+6\sqrt{2} }{7}[/tex]
= [tex]\frac{11}{7}[/tex] + [tex]\frac{6}{7}[/tex] [tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = [tex]\frac{11}{7}[/tex] and b = [tex]\frac{6}{7}[/tex]
how do i solve this? xw+vy-xy-vw
help please will mark brainliest
Answer:
i can't see that
Step-by-step explanation:
plzz sent me a clear photo
Answer:
1. 1
2. 1 ⋅ 10 ^24
3. 1000000000
4. 1
5. 1 ⋅ 10 ^20
6. 1 ⋅ 10 ^30
7. 1 ⋅ 10 ^27
8. 10000
9. 0.01
10. 0.0001
11. 0.1
Hopefully these are right, I simplified all of the problems...sorry if they are wrong
Step-by-step explanation:
This year, Zachary has been babysitting his young cousins after school for $70 a month. His uncle also
gave him an extra bonus of $100 for his excellent work. Since school started, Zachary has earned more
than $500. How many months ago did school start?
Answer:
8
Step-by-step explanation:
How much of the circle is shaded? simply your answer
Answer:
The part that is shaded is 5/14
Step-by-step explanation:
The total circle is 1
1/2 + 1/7 + x = 1 where x is the shaded area
Multiply each side by 14 to get rid of the fractions
14(1/2 + 1/7 + x) = 1*14
7 + 2 + 14x = 14
9+14x = 14
Subtract 9 from each side
14x = 5
Divide by 14
x = 5/14
The part that is shaded is 5/14
if f(x)=4-3x*2 then f(-2) is
Answer:
16
Step-by-step explanation:
f(-2)=4-3(-2)*2
f(-2)=4-3(-4)
f(-2)=4+12
f(-2)=16
Simple geometry equation
Answer:
106 or 4x+18
Step-by-step explanation:
Since Ray QR is a bisector you can determine that PRQ and QRS are equal angles (def. of a bisector). Then, what I chose to do is graph them and find where they intercept which was 22. We now know 22 is x so we can substitute it into the equation and solve to deterine that our answer is 106.
Which expression has the same value as -18-(-9)?
0 - 18+2
-12-(-3)
- 1945
O-8-(-4)
Answer:
the answer is -12-(-3)
Step-by-step explanation:
The expression equivalent to -18-(-9) is -12-(-3)
What are expressions?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given is an expression, -18-(-9), we are given to find the expression equivalent to it,
-18-(-9) = -18+9 = -9
1) -18+2 = -16 (not equivalent)
2) -12-(-3) = -12+3 = -9
Therefore, we see, the value of expressions -12-(-3) and -18-(-9) are equivalent,
Hence, the expression equivalent to -18-(-9) is -12-(-3)
For more references on expressions, click;
https://brainly.com/question/14083225
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I REALLY NEED HELP PLEASE HELP ME
Answer:
52^8
Step-by-step explanation:
26^8 = 208827064576 + 26
Jodi is considering taking online classes at two websites, LearnCenter and EduWorld. Each site requires that students pay a base membership fee, plus they charge a rate per class. The two graphs show the cost for taking online classes through the two websites. A graph titled Cost to Take Classes at LearnCenter has number of classes on the x-axis and cost in dollars on the y-axis. A line goes through points (0, 50) and (1, 70). A graph titled Cost to Take Classes at EduWorld has number of classes on the x-axis and cost in dollars on the y-axis. A line goes through points (0, 20) and (1, 60).
Answer:
B-LearnCenter charges a higher membership fee but a lower rate per class.
Step-by-step explanation:
Answer:B-learning for ever
Step-by-step explanation:
A scientist has two kinds of solutions. The first solution is Solution A, which is an $80\%$ acid solution. The second solution is Solution B, which is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must be added to $500$ mL of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100$ mL solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid?
Answer:
Step-by-step explanation:
a ) Let the volume required be v .
v x .8 + 500 x .3 / ( v + 500 ) = .7
.8 v + 150 = .7 v + 350
.1 v = 200
v = 2000 mL
b )
Let the volume of solution A required be v . The volume of solution of B required will be 100 - v
v x .8 + ( 100 - v ) x .3 / 100 = .5
.8 v + 30 - .3 v = 50
.5 v = 20
v = 40 mL
volume of solution B = 60 mL .
c )
It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .
volume of solution B = 60 mL
Please solve for a ! 24+5a=-a+6(5a-4)
Answer:
a = 2
Step-by-step explanation:
First of all you should remove parentheses by using distribution
24 + 5a = - a + 30a - 24
Then you should collect all like terms
24 + 5a = 29a - 24
After you should move the terms so the variables are only on one side.
5a - 29a = -24 - 24
Collect like terms
-24a = -48
After dividing both sides you get
a = 2
The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?
Answer:
15 m
Step-by-step explanation:
The area of the circle is
A =pi r^2
A = pi 4^2 = 16 pi
The area of the sector is 30
The fraction is
30/16 pi
Take this time 2pi which are the radians of a circle
30 /16 pi * 2 pi = 15/4
This is the number of radians the angle is
The arc length is s = r * theta where theta is in radians
s = r theta
= 4 * 15/4
= 15
i need help its urgent its due today geometry
Identify the error in each problem. Explain each error and provide the correction solution. Use at least two complete sentences. PLEASE SOMEONE HELP QUICK ITS DUE TOMORROW AND I WILL MARK YOU BRAINLIEST
Answer:
the mistake is the addition sign. When a number is next to a parenthesis it means multiplication
What is the solution to this equation?
X-9 = 17
O A. x = 28
O B. x = 12
O c. x = 8
O D. x = 26
Answer:
Step-by-step explanation:
x - 9 = 17
x = 26
the answer is D
solve for x (2x+1) (x+29)
Christine wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.65 per pound and raspberries cost $2.25 per pound. She only has $15 to spend on berries. Which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?
Answer:
1.65x + 2.25y ≤ 15
Step-by-step explanation:
Strawberries = $1.65 per pound Raspberries = $2.25 per pound
Amount with Christine = $15
Let
pounds of strawberries = x
pounds of raspberries = y
PxQx + PyQy ≤ 15
1.65x + 2.25y ≤ 15
The inequality which represent the situation where she buys x pounds of strawberries and y pounds of raspberries is 1.65x + 2.25y ≤ 15
1.65x + 2.25y less than or equal to 15
Let n be a whole number, and consider the statements below. p: n is a multiple of two. q: n is an even number. Which of the following is equivalent to ~q → ~p? A. ~q → ~p B. q → p C. p → q D. ~p →~
Answer:
C. p -> q
Step-by-step explanation:
Just did this on Edge2020. Hope this helps :)
What is the smallest positive number that is prime and 10 less than a perfect square?
Answer:
The problem states that the answer cannot be a perfect square or have prime factors less than $50$. Therefore, the answer will be the product of at least two different primes greater than $50$. The two smallest primes greater than $50$ are $53$ and $59$. Multiplying these two primes, we obtain the number $3127$, which is also the smallest number on the list of answer choices. So we are done, and the answer is $\boxed{\textbf{(A)}\ 3127}$.
Step-by-step explanation:
Answer:
71
Step-by-step explanation:
I just did the AOPS question, you can see the attachment down below.
Hope this helped! :)
What is the measurement of this angle
Answer:
Acute, 40 degree angle
Step-by-step explanation:
Take 90 - 50 and you get 40
I hope this helps you :)
-KeairaDickson
Answer:
40°
Step-by-step explanation:
Count how many 10s it takes to get from 90 degrees to 50 and you get your answer...
Use the table to complete the work to find the missing value. Conversion Chart Pints Ounces 3 48 7 ? 30 480 3 pints 48 ounces 11 pints ? ounces How many ounces are in 11 pints? o 144 o160 o 176 o 192
Answer:
176 ounces (C)
Step-by-step explanation:
if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..
also i got it right on edge :P
Answer: 176
Step-by-step explanation:
Simplify the expression: z8 * z-3
Answer:
z^5
Step-by-step explanation:
z^8 * z^-3
Since we are multiplying exponents and the bases are the same, we can add the exponents
z^(8-3)
z^5
One year, Mr James travels 8 x 10^3 miles for his job. The next year he traveled 1 x 10^4 miles. How many more miles did he travel the second year than he did the first year? Please give me the answer and explain ToT
Answer:
2 000 miles
Step-by-step explanation:
In the first year, Mr James travels 8 x [tex]10^{3}[/tex] miles = 8 000 miles.
The second year, he traveled 1 x [tex]10^{4}[/tex] miles = 10 000 miles.
Comparing the distance covered in the two years,
10 000 miles - 8 000 miles = 2 000 miles
Therefore, Mr James travels 2 000 more miles in the second year than he did the first year.
Let's assume that Mr James conveys himself to his place of work all through the first year in his private car. But in the second year, there were some days in which the car was not available. So he had to go for his job by public transportation. This itch during those days, could cause an increase in the distance covered from his home to his place of work for the second year.