80
270
120
90
Correct answer is D
Total angles = 360°
100 + 60 + 80 + M = 360
M = 360 - 240 = 120
Orange (M) = 120° and F ( fruits in total)
For Apples:
\(\frac{80}{360} \times F\) = 60
F = \(\frac{60 \times 360}{80}\)
F = 270 fruits in total
For Orange
= \(\frac{120}{360} \times 270\)
= 90 oranges
18 ≤ d ≤ 23
18 < d < 23
18 ≤ d < 23
18 < d ≤ 23
Correct answer is D
distance d more than 18 KM = d > 18 0r 18 < d distance d but not more than 23 KM = d ≤ 23 Mathematically; 18 < d ≤ 23
325
235
175
400
Correct answer is A
A for Adults
C for children
a + c = 500
c = 500 - a
4.5a + 3c = 1987.50
where c = 500 - a
4.5a + 3(500 - a) = 1987.50
4.5a - 3a = 1987.50 - 1500
1.5a = 487.5
a = 487.5 / 1.5
a = 325 tickets
c = 500 - a
c = 500 - 325
c = 175 tickets
Check:
from 4.5a + 3c
4.5 (325) = 1,462.5
+
3(175) = 525
(-6,-2)
(0,8)
(4,10)
(0,4)
Correct answer is B
The formula for midpoint = \(\frac{x_1 + x_2}{2}\), \(\frac{y_1 + y_2}{2}\)
(-4,-2) = (x,y)
x = \(\frac{x_1 + x_2}{2}\)
-4 = \(\frac{-8 + p}{2}\)
-4 * 2 = -8 + p
-8 + 8 = p
: p = 0
y = \(\frac{y_1 + y_2}{2}\)
-2 = \(\frac{-12 + q}{2}\)
-2 * 2 = -12 + q
-4 + 12 = q
: q = 8
| Height(cm) | 160 | 161 | 162 | 163 | 164 |
165 |
| No. of players | 4 | 6 | 3 | 7 | 8 | 9 |
the table shows the height of 37 players of a basketball team calculates correct to one decimal place the mean height of the players.
163.0
162.0
160.0
165.0
Correct answer is A
∑fx = (160 * 4) + (161 * 6) + (162 * 3) + (163 * 7) + (164 * 8) + (165 * 9)
=640 + 966 + 486 + 1,141 + 1,312 + 1,485
= 6,030
∑f = 4 + 6 + 3 + 7 + 8 + 9
= 37
= \(\frac{∑fx}{∑f}\)
= \(\frac{6030}{37}\)
= 162.97 or 163
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