All plots correctly show the range, 5–73.
The 1st, 2nd, and 4th choices correctly show the median, 54.
Of those, the 2nd and 4th choices correctly show the first quartile, 14.
Of those, only the 2nd choice correctly shows the third quartile, 61.
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There are an odd number of data points, so the middle one is the median. That value divides the remaining points in to two groups of 5. That number is also odd, so its median is the middle of that group. If we use x for the lower half and y for the upper half, you have
... (5 x 14 x x) 54 (y y 61 y 73)
So based on your question where there is a rectangle inscribed in a semicircle or a radius 10 as shown in your figure. The possible function that could represent the are of the rectangle is A=2x*sqrt(100-x^2) i hope you are satisfied with my answer and feel free to ask for more
11) -x + y = -1 ; 2x - y = 0
y = -1 + x ; 2x - (-1+x) = 0 ⇒ 2x + 1 - x = 0 ⇒x = -1
y = -1 + (-1) ⇒ y = -2
12) -2x + y = -20 ; 2x + y = 48
y = -20 + 2x ; 2x + (-20 + 2x) = 48 ⇒ 2x -20 + 2x = 48 ⇒ 4x = 48 + 20
4x = 68 ⇒ x = 68/4 ⇒ x = 17
y = -20 + 2(17) ⇒ y = -20 + 34 ⇒ y = 14
13) 3x -y = -2 ; -2x + y = 3
y = 3 + 2x ; 3x - (3 + 2x) = -2 ⇒ 3x - 3 - 2x = -2 ⇒ x = -2 + 3 ⇒ x = 1
y = 3 + 2(1) ⇒ y = 3 + 2 ⇒ y = 5
14) x - y = 4 ; x - 2y = 10
x = 4 + y ; (4 + y) - 2y = 10 ⇒ 4 + y - 2y = 10 ⇒ 4 - y = 10
⇒ -y = 10 - 4 ⇒ -y = 6 ⇒ y = -6
x = 4 + (-6) ⇒ x = 4 - 6 ⇒ x = -2
15) x + 2y = 5 ; 3x + 2y = 17
x = 5 - 2y ; 3(5-2y) + 2y = 17 ⇒ 15 - 6y + 2y = 17 ⇒ -4y = 17 - 15
⇒ -4y = 2 ⇒ y = -2/4 ⇒ y = -1/2
x = 5 - 2(-1/2) ⇒ x = 5 + 2/2 ⇒ x = 5 + 1 ⇒ x = 6
Answer:
t=16.2 years
Step-by-step explanation:
A=p(1+r/n)^nt
A=$20100
P=$6500
r=7%=0.07
n=4
t=?
t=ln(A/P)/n {ln(1+r/n)}
=ln(20100/6500) / 4{ln(1+0.07/4)}
=ln(3.0923)/4{ln(1+0.0175)}
=ln(3.0923)/4{ln(1.0175)}
=1.1289/4(0.0174)
=1.1289/0.0696
=16.23
To the nearest tenth
t=16.2 years
Answer:
Step-by-step explanation:
I think in this question we have to find slope, if so, its y = 10x.
to find the slope just pick two numbers, i chose (2,20) and (7,70) and then put them in the slope formula y2-y1/x2-x1. That gave me 10. I hope its correct. :)
