Correct Answer: C. \(\varnothing\)

Explanation

P^I = {2, 4, 6, 8, 10}; {1, 3, 5, 7, 9}

P^I \(\cap\) q^I = {} or \(\varnothing\)

Correct Answer: A. Population distribution

Correct Answer: A. 3

Correct Answer: B. creating the algorithm

Explanation

Algorithm design is the process of listing all the instructions which are to be performed by the computer at different stages.

Explanation

(a) \(T_{1} = a = -8\)

\(\frac{T_{7}}{T_{9}} = \frac{5}{8}\)

\(\frac{a + 6d}{a + 8d} = \frac{5}{8} \implies \frac{-8 + 6d}{-8 + 8d} = \frac{5}{8}\)

\(-8 + 6d = \frac{5}{8}(-8 + 8d) \implies -8 + 6d = -5 + 5d\)

\(6d - 5d = -5 + 8\)

\(d = 3\)

(b) Let :

the cost price \(CP_{1}\) of a basket of pawpaw be w;

the cost price \(CP_{2}\) of a basket of mangoes be m.

Then \(30w + 100m = N2,450 ..... (1)\)

Also, let :

The selling price of the baskets of pawpaw be \(SP_{1}\);

the selling price of the baskets of mangoes be \(SP_{2}\).

Then \(SP_{1} + SP_{2} = N(2,450 + 855) = N3,305 ...... (2)\)

%age profit on the sale of pawpaw = \(\frac{SP_{1} - CP_{1}}{CP_{1}} \times 100%\)

i.e. \(40% = \frac{SP_{1} - 30w}{30w} \times 100%\)

\(\implies 40 \times 3w = (SP_{1} - 30w) \times 10\)

\(12w = SP_{1} - 30w\)

\(SP_{1} = 12w + 30w = 42w\)

%age profit on the sale of mangoes = \(\frac{SP_{2} - CP_{2}}{CP_{2}} \times 100%\)

i.e. \(30% = \frac{SP_{2} - 100m}{100m} \times 100%\)

\(\implies 30m = SP_{2} - 100m\)

\(SP_{2} = 30m + 100m = 130m\)

But \(SP_{1} + SP_{2} = N3,305\)

\(\implies 42w + 130m = 3305 .... (2)\)

From (1), \(m = \frac{2450 - 30w}{100}\)

\(m = \frac{245 - 3w}{10}\)

Substitute \(m = \frac{245 - 3w}{10}\) in (3)

\(42w + 130(\frac{245 - 3w}{10}) = 3305\)

\(42w + 3,185 - 39w = 3305\)

\(3w = 3305 - 3185 = 120\)

\(w = N40.00\)

(i) Hence, the cost price of a basket of pawpaw = N40.00.

(ii) From (2),

\(SP_{1} + SP_{2} = 3305\)

\(42w + 130m = 3305 \implies 42 \times 40 + 130m = 3305\)

\(1680 + 130m = 3305\)

\(130m = SP_{2} = 3305 - 1680\)

= \(N1,625.00\)

Hence, the selling point of 100 baskets of mangoes = N1,625.00.

Correct Answer: D. 39°

Correct Answer: C. Low Productivity and inefficiency

Explanation

Low productivity and inefficiency is not a way by which government encourage industrialization.

Correct Answer: B. 0.01H

Correct Answer: D. as

Explanation

The correct preposition to use after 'better' in this context is 'as'. When comparing roles or functions, 'as' is used. For example, 'He works better as a manager than as a clerk.' Therefore, the sentence should read 'He was both a writer and a politician, but he was better as a singer.'

Correct Answer: A. insects