Answer:
is used to prove the given equation.
Step-by-step explanation:
We have given an equation:
We will consider right hand side first
tan x can be written as:
So, on substituting tan x in the left hand side of the given equation we get:
Cancel common term from denominator and numerator which is cosx we get
And we have an identity:
Hence, right hand side is equal to .
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