Answer : option A
To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile
Inter quartile range is the middle 50% of the given range of scores.
The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%
From the diagram , we can see that
Upper quartile = 89
lower quartile = 65
So range is 65% to 89%
Given that the length of the arc of the circle is, 9.5 ft, thus, the radius of the circle would be: 4.5 ft.
<h3>What is the Length of an Arc?</h3>
Length of arc of a circle = ∅/360 × 2πr
Radius = r.
Given:
∅ = 120°
Length of arc = 9.5 ft
Radius (r) = ?
Thus:
9.5 = 120/360 × 2× 3.14 × r
9.5 = 2.09r
r = 9.5/2.09
r = 4.5 ft
Learn more about length of arc on:
brainly.com/question/2005046
40/50= 0.8
293/1000=0.293
Step-by-step explanation:
40/50
= 0.8
293/1000
Since the zeros are three,move three times from backwards to forward.
=0.293.
Hope it's useful.
Hope it's useful.If so,mark as brainliest.
Answer:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10