Correct Answer: C. 29.5

Explanation

£f = 4 + 12 + 16 + 6 +2 = 40

Upper quartile class

= 3/4 of 40 = 30th position

Counting from the distribution table to the 30th position,

the upper class boundary is 29.5

Correct Answer: C. 13.1

Explanation

Another word for mean is average. To find the average of this set of numbers, add them up, then divide by the amount of numbers in the set. In this case there are 9 numbers in the set, meaning we will divide our answer by 9. (12+5+7+15+21+17+16+13+12)/9= 118/9=13.1

Correct Answer: A. Z = 15

Correct Answer: C. 120^o

Explanation

Q₁ = 50(alternate angle)

Q₂ = 180^o - 110^o (straight line angle)

Q₂ = 70

PQR = Q₁ + Q₂

= 50^o + 70^o

= 120^o

Correct Answer: D. 108°

Correct Answer: A. 1

Explanation

x\(^2\) - 3x + 2 = 0

x\(^2\) - 2x - x + 2 = 0

x(x - 2) - 1(x - 2) = 0

(x - 2)(x - 1) = 0

x = 1 or 2. The smaller value of x = 1.

Correct Answer: B. -1\(\frac{1}{2}\)

Explanation

p = \(\frac{1}{2}; \frac{1}{p - 1} = \frac{2}{p + x}\)

\(\frac{1}{\frac{1}{2} - 1} = \frac{2}{\frac{1}{2} + x}\)

\(\frac{1}{\frac{1 - 2}{2}} = \frac{2}{\frac{1 + 2x}{2}}\)

\(\frac{1}{-\frac{1}{2}} = \frac{2}{\frac{1 + 2x}{2}}\)

-2 = \(\frac{4}{1 + 2x} -2(1 + 2x) = 4\)

1 + 2x = \(\frac{4}{-2}\)

1 + 2x = -2

2x = -2 - 1

2x = -3

x = -\(\frac{3}{2}\)

x = -1\(\frac{1}{2}\)

Correct Answer: B. 19cm

Correct Answer: B. 5

Explanation

The value for which the equation is impossible

2x = 10 (if y = 0)

x = 5

Correct Answer: D. x < \(\frac{-7}{27}\)

Explanation

\(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

5(5 - 3x) < 6(3 - 7x)

25 - 15x < 18 - 42x

- 15x + 42x < 18 - 25

\(\frac{27x}{27}\) < \(\frac{-7}{27}\)

x < \(\frac{-7}{27}\)