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JOSHUA  HUKPORTI

JOSHUA H.

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7. The table shows the height (m) of 30 selecteal trees in a forest. a) Find the nean height of the trues b) Calculate comrect to one derimal place, the: i. median ii. mean deriation 8. Two towns \( B \) and \( F \) on the equater are on longitude \( 67^{\circ} \equiv \) and \( 123^{\circ} \mathrm{E} \) respectively. ii) Illustrate the information in a diagram (ii) Find the distance between B and \( F \) along the equator. (iii) How far is \( B \) from the north pole. Take \( R=6400 k_{n} \) \( j=22 / 7 \) 9. A compeniy bid for two contracts \( T \) and \( J \). The probabilities that it will win contract \( T \) and \( J \) are \( 1 / 5 \) and \( 13 / 8 \) respectivecty. Find the probability that the company wins: i) buth contracts (ii) only one contract.

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2024 CORE MATHEMATEES 1. A man travels 4 km from a print \( U \mathrm{~m} \) a boaring of \( 135^{\circ} \) to \( V \). He continuerss 13 kin on a beaing of \( 045^{\circ} \) to k . 2.) Illustrate the information on a diagram b) Find: (i) correct to 2 significant figurses \( |U W| \) (ii) The boaring of \( W \) from \( U \) 2. Badu rode a biajcle for 15 minuitiss and walked for an hour to cover a total distance of 10.4 km . If the riating speed is three times the walking spead, find correct to 2 significant figuros the a) walking speed b) distance travefled by riding 3. In the diagram \( P Q S \) is a triangle. \( |P R|=50 \) rmm \( |R S|=\operatorname{merm} \). Find correct to 1 deimal plate 2) the value of \( x \) b) \( \left|Q_{5}\right| \)

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Establish the relation between the backward shift operator and the back was difference operator

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