0.5, 1 1/ 4, 0.25, 3/ 8
1 answer:
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Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression
Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:
Take n as 2
Where
<em>The relationship is: The sum of the previous term and 9</em>
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:
Hence, the next three terms are: 36, 45 and 54
Answer:
14.
15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35
Step-by-step explanation:
13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.
-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.
b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:
Hence, it takes approximately 3 games to score a full goal.
14.-The cost of a GCSE retake is £600 and attracts a 15% deposit
#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:
Hence, the 15% deposit amount equals £90
b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:
Hence, it takes 26 weeks to clear the balance.
c. Given that 10% is the equivalent of £450
-We divide this amount by 10% to get the 100% equivalent
#We know that 10%=0.10
#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:
We subtract the discount amount for the per-discount price:
Hence, it will cost £4,860 without the discount.
15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.
-As such, the sample space is 10 and each color has an equal chance of being picked:
Hence, this is impossible since 0.10<0.35