Answer:
14.50
Step-by-step explanation:
i took the quiz on k12 truse me i wish luck
The IQR for these data is 6.25.
Answer choice A is correct.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To find the IQR, we first need to find the first and third quartiles.
First, we need to order the data from smallest to largest:
10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19
Next, we find the median (middle value) of the data set.
Since we have an odd number of data points, the median is the middle number, which is 14.5.
To find the first quartile (Q1), we need to find the median of the lower half of the data set.
That is, we need to find the median of 10.5, 11, 11.5, and 14.5.
The median of this subset is (11 + 11.5) / 2 = 11.25.
To find the third quartile (Q3), we need to find the median of the upper half of the data set.
That is, we need to find the median of 17, 17, 18, and 19.
The median of this subset is (17 + 18) / 2 = 17.5.
Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
= 17.5 - 11.25
= 6.25
Therefore,
The IQR for these data is 6.25.
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find the 39th term for the aritmethic sequence, 10,15,20
The 39th term of the sequence is 200.
What is Arithmetic Sequence?Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.
The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.
Arithmetic sequence is usually represented as
a, a + d, a + 2d, ........, a + (n - 1)d
The nth term of an arithmetic sequence, aₙ is given by the formula,
aₙ = a + (n - 1) d
where, a is the first term and d is the common difference.
The given sequence is 10, 15, 20, ......
a = 10
d = 15 - 10 = 5
Here, we have to find the 39th term of the sequence.
a₃₉ = 10 + (39 - 1) 5
= 10 + (38 × 5)
= 10 + 190
= 200
Hence, the 39th term of the progression 10, 15, 20,..... is 200.
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Please Help.........
What is the equation of the given line in the point-slope form?
A.
= - + 1
B.
+ = 1
C.
+ + 1 = 0
D.
4 = 3 + 1
E.
– 4 = 1( – 3)
[tex]============================[/tex]
First, let's use the Slope Formula to find the slope:
[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]
[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]
Which simplifies to
[tex]\pmb{1}[/tex]
So the slope is 1.
Now, here's a point that the line passes through:
(0, 1)
Write the equation in point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
y-1=1(x-0)
================================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Award: 1.00 point Exercise 6-10A (Static) Why is it important to prepare the benefit analysis report or the total compensation report? [You may select more than one answer. Single flick the box with the question mark to produceea check marka forma correct answer and doubye-click the both with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) The reports may be used to accompany benefits billing. The reports may be used as employee contracts. The reports promote employee education about the total value of their salary and benefits. The reports inform labor planning and employer cost strategies. References Check All That Apply Difficulty: 1 Easy Exercise 6-10A (Static) Learning Objective: 06-06 Complete Benefit Analysis as a Function of Payroll
Answer:
i think its option one
Step-by-step explanation:
I do not understand how they got this answer. I am stuck on the exponent party- Please see attached
Looking at the question, the answer gotten is:$4316.55. The question is related to compound interest.
What is compound interest?Compound interest is known to be the interest that is earned on a principal sum in addition to the accumulated interest previously. It is as a result of reinvesting interest.
To find the compound interest, the formula used is:
A= P(1+r/n)^nt.
Where
P is the principal sum= $3500
r is the rate = 0.035
n is the compounding period = 12 months.
t is the time = 6 years.
Substituting them in the equation, we have:
A = 3500 ( 1 + 0.035/12)^12×6
Working out the one in the bracket and multiplying the exponent, we have:
A = 3500 (1.00291667)^72
Note: We got 72 by multiplying 12 by 6.
1.00291667 raised to the power of 72 = 1.23330133
A = 3500× 1.23330133 = $4,316.55
Ans: $4,316.55
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The longest worm is blank times as long as the shortest worm
The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619, $379, $895, $1,256, $1,052
a. What is the median of the first half of the data? (first quartile)
The price of the refrigerators that is the median for the first half of the data is $498.
What is the median of the first half of the data?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256
The first half of the prices are $379, $498, $619,
Median = $498
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The length is :____ meters and the width is ____meters.
Answer:
Length= 8, Width= 4
Step-by-step explanation:
Say the length is l, and the width is w.
We can set l, the length as 2w, as it is double the length.
The perimeter= 2l + 2w= 24
Input l as 2w, get
4w+2w=24
6w=24, w=4.
Length is w*2, so length is 8.
A company interviewed 21 applicants for a recent opening. Of these applicants, 7 wore blue and 6 wore white, while 5 applicants wore both blue and white. What is the number of applicants who wore neither blue nor white?
A.1
B.6
C.12
D.13
Answer: D
Step-by-step explanation:
21=7+6+neither-5
7+6=13-5=8
21-8=13
A bride wants to serve her 175 guests cheesecake instead of wedding cake. She purchases 14 cheesecakes that serve 12 people each. If each guest is served only one piece of cheesecake, how many guests will not get a piece? guests
Answer:
7 guest will not be served.
Step-by-step explanation:
Jeremiah answered 20 out of 25 questions correctly on the math test. What percent of the questions did Jeremiah answer correctly?
Answer, explain and setup problem.
How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually
450.46497
Step-by-step explanation:Based on the given condition:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]
________________________________________________
Formulate and substitute:[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]
[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]
_________________________________________________
Evaluate[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]
I hope this helps you
:)
Which of the following expressions are equivalent to 6 + (-4) - 56+(−4)−56, plus, left parenthesis, minus, 4, right parenthesis, minus, 5?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
-(-6+4)-5−(−6+4)−5minus left parenthesis, minus, 6, plus, 4, right parenthesis, minus, 5
(Choice B)
B
6-4-(-5)6−4−(−5)6, minus, 4, minus, left parenthesis, minus, 5, right parenthesis
(Choice C)
C
6-(4+5)6−(4+5)6, minus, left parenthesis, 4, plus, 5, right parenthesis
(Choice D)
D
6+4-56+4−56, plus, 4, minus, 5
(Choice E)
E
-(-6)+(-4)-(-5)−(−6)+(−4)−(−5)
Answer:
Step-by-step explanation:
−5+6−4
and
−4+(−5)+6
What is the area of this shape?
Answer:
Area is 80[tex]m^{2}[/tex]
Step-by-step explanation:
Since the shape is a triangle, then the formula for area is: a = bh/2
Given values:
b = 20m
h = 8m
Substitute the given values into the equation
a = 20 x 8 / 2
a = 160/2
a = 80 meters squared
hope this helps and is right!! p.s. i really need brainliest :)
Please help! Consider the given circle with the shaded sector xy and central angle 225. The circumference is 30 units
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}[/tex]
how do I not know 4th grade math I really am 0iq
Answer:
C) 8 sheets of red and 13 sheets of yellow felt
Step-by-step explanation:
Red felt
Red felt needed for 1 toy = 3/8 sheet
⇒ Red felt needed for 20 toys = 20 × 3/8 sheets
[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]
Therefore, 8 complete sheets of red felt are needed.
Yellow felt
Yellow felt needed for 1 toy = 5/8 sheet
⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets
[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]
Therefore, 13 complete sheets of yellow felt are needed.
Which pair of segments must be parallel?
HELPP
Answer:
AB and GH
Step-by-step explanation:
Calculation of slope of each segment
AB = -1/4CD = -5/6EF = -5/5 = -1GH = -2/8 = -1/4Parallel lines have the same slope.
⇒ AB and GH are the pair of segments which are parallel
FASTEST ANSWER WITH STESP FOR PROOF GETS BRAINLIEST
Answer:
314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)
Step-by-step explanation:
Step 1) Formula of a cone.
•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]
Step 2) Apply numbers.
•r = 1/2 * base diameter || r = 5 m
•height(h)= 12 m
Step 3) Apply formula.
V= (1/3) * π * 5² * 12
[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]
Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16
Step 4b) IF π = 3.14, then V= 314π
I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!
(apologies if a mistake has been made)
A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.
What is the surface area of the actual ramp, including the underside?
Enter your answer as a decimal in the box.
yd²
Right triangular prism. Each base is a triangle whose legs are 13 in, 13 in, and 24 in. The height of the triangles is 5 in. The prism is oriented so that the side labeled 24 in is on the bottom. The distance between the bases is labeled 12 in.
Answer:
The answer is 7.2
The surface area of the actual ramp, including the underside is 16.8 ft²
H1 = 1.2 feet (height of the actual ramp)
and, H2 = 6 cm (height of the model)
The scale factor (k) is:
k = 1.2 feet / 6 cm
k = 0.2 ft/cm
The actual measurements would be:
16cm = 16 cm x 0.2 ft/cm = 3.2 ft
and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,
and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,
So, the surface area is
Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)
Area = 16.8 ft²
Hence, the surface area of the actual ramp is 16.8 ft²
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How can I find the value of X?
Answer:
D
Step-by-step explanation:
Remark
The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.
The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.
So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.
Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.
Proportion
AB / AC = AE/AD
Givens
AB = 10
AC = 18
AE = 8
AD = x + 8
Solution
Substitute the Givens into the Proportion.
10/18 = 8/(x + 8) Cross multiply
10(x + 8) = 8 * 18 Simplify both sides
10x + 80 = 144 Subtract 80 from both sides
10x + 80 - 80 = 144 - 80
10x = 64 Divide by 10
10x/10 = 64/10
Answer: x = 6.4
find the product 4 (-9 1/8)
Answer:
4/8=2
-91/2=-45.5
by eliminate 4 by dividing by 8
6/5 + ? = 27/10? Help me pls
[tex]\cfrac{6}{5}~~ + ~~\boxed{?}~~ = ~~\cfrac{27}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{6}{5}~~ + ~~\boxed{?} \right)~~ = ~~10\left( \cfrac{27}{10} \right)}\implies 12+10\boxed{?}=27 \\\\\\ 10\boxed{?}=15\implies \boxed{?}=\cfrac{15}{10}\implies \boxed{?}=\cfrac{3}{2}[/tex]
The collection of all equally likely outcomes is known as the
Answer:
The Sample space
Step-by-step explanation:
The collection of all equally likely outcomes is known as the- the sample space.
Help help help help ASAP apa
Answer:
A=49.12
Step-by-step explanation:
The area of the figure=
Area of the triangle + area of the semicircle.
Area of the triangle=
½×the base × the height=
½×6×8=
24ft.
Area of the semicircle=
½πr²=½×3.14×4²=
25.12ft.
Area of the figure=
24+25.12=
49.12ft
20 POINTS
Part E
How many of the 320 million Americans would you predict wear glasses?
100+200x300=what is the answer
Answer:
100+200×300 = 60100
Step-by-step explanation:
According to the BODMAS, the order to solve any question is as follows
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction.
in the above expression Addition and multiplication two different operations are functioning. According to BODMAS the multiplication expression will be solved first, that outputs.
200×300 = 60000
after calculating correctly we have to operate second function i.e. addition and add 100 to the above result,
60000+100 = 60100
[tex]{Answer = 60100}[/tex]
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A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square feet?
Answer:
112 ft
Step-by-step explanation:
AL = (a+b+c)h
= (6+12+10) x 4
= 112 ft
In your own words describe how to find the perimeter of a shape with fractional sides used the rectangle below to example
Answer:
U add both side of the shape to get the fractional
Step-by-step explanation:
I just did this not to long ago
Convert the angle to radians: 85
Answer:
17pi/36 (PLATO answer)
Step-by-step explanation:
PLEASE HELP ME WITH THIS !!
Answer: C
Step-by-step explanation:
When Flipped Down A is on the same point as D
Answer:
c
Step-by-step explanation:
because they are mirrored the only one that is equivilent is c
b doesnt corrospond to f it corrosponds to e
bc corrosponds to ef
ab corrosponds to ed.
The selling price for a classic speedboat is $20,000, which is $2000 less than two times its original price. What was the original price of the speedboat?
Answer:
$11,000
Step-by-step explanation:
let x = original price.
2x-2000=20000
2x=22000
x=11000