Hey there! I'm happy to help!
The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.
Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.
In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:
2,3,5
Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.
16,20,100
So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.
My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.
You split the data in half.
2,3,5, 16,20,100
Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.
You find how far apart they are by subtracting 3 from 20.
20-3=17.
The IQR is 17.
Have a wonderful day! :D
Which of the following represents *picture attached*
Answer:
The answer is option C
Step-by-step explanation:
104
E 6
x = 1
Write the number as a product with the factor 1
104
E 6 × 1
n = 1
Rewrite the sum
That's
104
6 × E 1
n = 1
Find the sum of n terms of 1 using the formula
n
E 1
k= 1
Which is
6(104) = 624
Hope this helps you
Answer:
6(104) = 624
Step-by-step explanation:
The summation symbol ...
[tex]\sum\limits_{n=1}^{104}{\text{expression}}[/tex]
means that the expression is evaluated for n=1, n=2, n=3, n=4, ... up to n=104 and all of those are added together. Here, the expression being evaluated is "6", which does not depend on n. So, this is simply the sum of 104 instances of 6:
6 +6 +6 +6 ...+6 . . . . 104 terms in the sum
As we know, repeated addition can be accomplished by multiplication:
= 6(104) = 624
May someone help me with this please thanks!!
Answer:
1.57
Step-by-step explanation:
Circumference=2pi r
=2x3.14x.25
=1.57
Answer:
C = .5 pi inches
If we approximate pi by 3.14
C =1.57 inches
If we approximate pi by the pi button
C =1.570796327 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2* pi *r
C = 2 * pi * .25
C = .5 pi
If we approximate pi by 3.14
C =1.57 inches
If we approximate pi by the pi button
C =1.570796327 inches
2. A large banana split costs $5.80 plus $0.45 per topping. Write and solve an inequality that represents
the maximum number of toppings you can order if you want to spend at most $8.50.
Define variable:
Equation:
Solution:
can someone check my work? ty!!
Answer:
Hey there!
Define Variable: Let t be the number of toppings
Equation : You are correct
Solution: You are also correct.
Nicely done!
Hope this helps :)
Please help i will make brainliest for correct answers!
Answer:
15. 18 groups
16. 60 combinations
Step-by-step explanation:
6*3=18
20*3=60
Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 0 tiles are in the Product spot. Which trinomial did she factor? x2 + 4x – 12 x2 + 2x – 6 x2 – 8x – 6 x2 – 4x – 12
Answer:
D: X^2-4x-12
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel's sibling, then Melis Bo's sibling.
Statement 2: If the sprinklers are on, then the grass is wet.
Answer:
1. Both forward and backward
2. Only forward
Step-by-step explanation:
The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.
The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.
Answer:
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.
Step-by-step explanation:
in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?
Answer:
A.) 119
420 * 0.85 is 357 and 357 * 1/3 is 119
Hope this helps ^^
Answer:
119
Step-by-step explanation:
The total number of people who had taken the survey is 420 wich is equivalent to 100%.
The percentage of people who drink coffee is 85%.
●●●●●●●●●●●●●●●●●●●●●●●●
Let x be the number of people drinking coffee
● 420 => 100%
● x => 85%
These values are proportional so we can cross-multiply them
● x*100 = 420*85
● x = (420*85)÷100
● x = 357
The number of people who drink coffee is 357.
■■■■■■■■■■■■■■■■■■■■■■■■■
Let y be the number of people who drink black coffee.
y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.
● To get y multiply 1/3 by the total number of people drinking coffee (357)
●y = (1/3)*357
● y = 119
119 is the number of people who drink black coffee
I don’t want the answer to this just how to work it out. The required staff to student ratio is 2:15. If 340 people attended the excursion, how many teachers were there?? Thanks
Answer:
40 teachers.
Step-by-step explanation:
The required staff to student ratio is 2:15340 people attended the excursion.We are to find the number of teachers (staff) who attended the excursion).
For every 2 staff, there are 15 students
The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex] × 340 = 40 teachers
The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300
Determine if the statement is always, sometimes or never true. There are 300 degrees in the sum of the interior angles of a polygon.
Answer:
Never
Step-by-step explanation:
Using the formula to find the sum of the interior angles, (n-2) * 180, we can work backwards.
300/180 +2 = 11/3 or 3.666. Polygons cannot have decimal sides therefore your answer is never.
Answer:
never
Step-by-step explanation:
HELPPPP PLEASEEEEEEEEE
Answer:
3
Step-by-step explanation:
Plug in 2 for x:
5-2 - 3
Answer:
3
Step-by-step explanation:
f(x)= 5 - x
f(2) = 5 - 2 = 3
Help ! Help ! Help !
Answer: $ 82,531.59.
Step-by-step explanation:
Formula to calculate the accumulated amount compounded daily:
[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]
,where P=principal amount, t=time ( in days ), r =rate of interest.
Given: P= $51,123.21
r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]
t= 20 years 2 months
[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex] [1 year = 365 days, 1 year = 12 months]
Substitute all values in the formula, we get
[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]
hence, future value = $ 82,531.59.
FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy? 3 5 6 9
Answer:
Nine
Step-by-step explanation:
3 dollars for children tickets : x
5 dollars for adult tickets: y
Equation is:
3x+5y=57
Where 57 is the total amount spent
x+y=15
where 15 is the total number of tickets bought
3x+5y=57
5(x+y)=5(15)
___________________
3x+5y=57
5x+5y=75
minus the equations top to bottom=
-2x= -18
x= -18/(-2)
x=9
He bought a total of 9 children tickets
Answer:
the answer is 9 or D
Step-by-step explanat ion:
Which best describes the relationship between the lines with equations -36x + 8y = 16
and -9x + 2y = 4?
Answer:
Infinitely many solutions.
Step-by-step explanation:
-36x + 8y = 16
-9x + 2y = 4
4(-9x + 2y = 4)
-36x + 8y = 16
Now, we can see that the two lines are exactly the same, which means that they have infinitely many solutions.
Hope this helps!
what is the rational exponent from of this expression
Answer:
Step-by-step explanation:
√(c^5) is equivalent to c^(5/2) (the last answer choice).
THE ANSWER IS NOT 12 OR 36 SO DO THE RSM ANSWER PLS ASAP PLS OH PLS 0-0 a * b=ba−ba+ab, find (2*3)×(3*2).
72 if * is exponents
Mei-Ling is one of 6 members of a committee. If 2 members of that committee are selected to go to a conference, how many of the possible pairs of members would include Mei-Ling?
Answer:
5
Step-by-step explanation:
Mei-Ling could be paired with any of the other 5 committee members, so there are 5 possible pairs than include Mei-Ling.
30 points will give brainliest to whoever gets it right
Answer:
8(.5)^x
Step-by-step explanation:
This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^xJan is solving the equation shown below. Which of the following represents the solution to Jan’s equation?
a. x = 3
b. x = -3
c. x = 27
d. x = -33
Answer:
C. X=27
Step-by-step explanation:
-11+1/3x+9=7
1/3x=7+11-9
1/3x=9
x=9x3
x=27
Please help..........
See the attached picture:
HELP ASAP. BRAINLIST IF YOU ANSWERED IT RIGHT
Which of the following theorems verifies that NPO-XYZ
Answer:
The answer is D.
Step-by-step explanation:
In similarity, the triangles have the same angles but different length of sides.
(Correct me if I am wrong)
Answer:
D. AA
Step-by-step explanation:
We do not know height or length, so that rules out A, B, and C. This leaves us with D which is angle~angle, (37 and 90 degrees). Hope this helps. :)
Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4, 8, 16, 32 B) 2, 6, 10, 14 C) 4, 6, 8, 10 D) 2, 8, 32, 128
Answer:
A
Step-by-step explanation:
Hello, please consider the following.
[tex]f(1)=4*2^0=4\\\\f(2)=4*2^1=8\\\\f(3)=4*2^2=16\\\\f(4)=4*2^3=32[/tex]
So the correct answer is the first one A.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Brainliest for whoever answers fully! Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised. (2 points)
Answer:
Hope this helps
Step-by-step explanation:
For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:
The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:
So our system is:
Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.
Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.
If y = 6x - 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs {(0, 3), (1, -9), (2,-15) (0, -3), (2, 15), (4,21)} (0, -3). (2,9),(4,21)} {(0.3),(-2, 15), (4, 21)}
Answer : (0, -3) ; (4,21) and (2,9)
Step-by-step explanation:
y = 6x- 3
y =0*x-3 = -3 (0,3) is not a possible set y = 1*6-3 = 3 (1,-9) is not a possible set y = 6*2-3 = 9 (2,-15) is not a posiible set (0.-3) is a possible set as verified in the first one (2,15) is not a possible set since the output of 2 is 9 y = 4*6-3 = 21 so (4,21) is possible set (2,9) is a possible set as verified in the third oneAnswer: ( 0,-3), (2,9),(4,21)
Step-by-step explanation:
On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)
Answer:
Hey there!
96 correct/120 total= 4 correct/5 total.
Thus, the student had 0.8 of the answers correct, or 80% of them
Hope this helps :)
Answer:
please mark me as the brainliest
Step-by-step explanation:
80%
A certain worker makes $12 per hour for the first 40 hours and $18 for every hour more than 40. Compute her pay for working 45 hours.
Answer: $570
Step-by-step explanation:
She worked 5 hours more than 40. Thus, for her extra hours she made 18*5, or $90. For her other 40, she made 40*12, or $480. Thus, she made 480+90 dollars, or $570.
Hope it helps <3
Answer:
$570
Step-by-step explanation:
Since she is working 40 hours you need to multiply 12 · 40 first and should get 480
Since there is an extra 5 hours you need to do 18 · 5 = 90
Lastly, you add 480 and 90 and you will get 570
Evaluate the given algebraic expressions replacing x with −2 and y with 1. 3x to the power of 2
Answer:
The answer is probably-36
Step-by-step explanation:
(a) Solve the system of linear equations:
x + y = 14
X-y=6
Answer:
x=10,y =4
Step-by-step explanation:
x + y = 14
X-y=6
Add the two equations together to eliminate y
x + y = 14
X-y=6
-----------------------
2x +0y = 20
Divide by 2
2x/2 =20/2
x = 10
Then find y
x+y = 14
10+y =14
Subtract 10 from each side
10+y-10=14-10
y =4
Answer:
x = 10, y = 4
Step-by-step explanation:
One way of doing this is by doing the substitution method
To do this you first need to put x on one side (x = y + 6)
Now where there is an x in the first equation you put that instead
(y + 6) + y = 14
After this, you solve for y (y = 4)
Lastly, you put the 4 where there is a y and then solve for x
x - 4 = 6
x = 10
A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score 5 points?
Answer:
1/20
Step-by-step explanation:
There are 20 spots on the board and the odds u will land on 5 would be 1/20
The radius of a circle is three units. What is the diameter of the circle?
Answer:
6 units
Step-by-step explanation:
3x2=6
Answer: 6 units
Step-by-step explanation: The diameter of a circle which is a cord that passes through the center is always 2 times the radius.
So if we know that the radius of pour circle is 3 units,
we can simply multiply 2 by 3 to get 6 units.
So the diameter is 6 units.