Answer:
Step-by-step explanation:
To find the inverse of a function, begin by switching the places of the 'y' and 'x' variables. Instead of f(x), we will substitute in 'y' for this purpose.
Substitute in 'y':
Swap the 'y' and 'x':
Square both sides:
Simplify:
**Keep in mind, when finding the inverse of a square root function, there is always going to be a restricted domain. In this instance, the restricted domain is
Answer:
Normally Distributed.
Explanation:
After plugging all those numbers into a calculator you can see that the graph isn't left skewed, making both "left skewed" and "all of the above" <em>not an answer.</em> "correlated with a second set of data" is also <em>wrong</em> since there was no second set of data given. That leaves you between "uniformly distributed" and "normally distributed" This graph doesn't show a uniformly distributed graph, which leaves you with the final answer, normally distributed.
APEX
Answer:
By cos Rule: c² = a² + b² -2abcosФ
c = 7.7
Step-by-step explanation:
∵ AC = 10 , BC = 16 , m∠C = 22°
∴ We can use the cos Rule:
∵ c² = a² + b² -2abcos(C)
∴ c² = (10)² + (16)² - 2 × 10 × 16 cos(22)
∴ c² = 100 + 256 - 320cos(22) = 59.301167
∴ c = 7.7
Answer:
We are given:
Margin of error
Confidence level = 0.99
We need to find the sample size to estimate the proportion of people who carry the TAS2R388 gene.
The formula for finding the sample size is:
Where:
is the critical value at 0.01 significance level.
Therefore, the required sample size is:
Therefore, the required sample size is 3774
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