Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
Hi,
to find out the answer you need to divide 89 by 10 than by 5. Add those two answers together which is 23.73. That answer is dimes so 89-23.73=65.27..:) you could round the number up. I hope it helps!!!
Answer:
The 95% confidence interval for the mean change in blood pressure,
, is 1.744 <
< 2.816
Step-by-step explanation:
The parameters given are;
The number of people in the sample, n = 9
The average drop in blood pressure,
= 2.28 points
The standard deviation, σ = 0.82
The confidence level = 95%
The formula for confidence interval with a known mean is given as follows;

Where:
= z - score at 95% confidence level = 1.96
We therefore have;

Which gives the 95% confidence interval for the mean change in pressure,
, is given as follows;
1.744 <
< 2.816
Answer:
.75
Step-by-step explanation:
$12 / 16 = $0.75