Answer:
The answer is explained below
Step-by-step explanation:
Given that:
mean (μ) = 7 and standard deviation (σ) = 1.5.
The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:
To find the Probability that x < 8.8, we first find the z score using:
From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%
Given:
The function is:
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
Step 1: Substitute 
.
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Step 4: Substitute 
.
Therefore, the inverse of the given function is 
and the graphs of these functions are shown below.
Step-by-step explanation:
Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.
tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)
∴tanθ=88/1532=0.0574
∴θ=tan−1(0.0574)=3.290(2dp)
Answer:
17.) x = 3
18.) x = -5
I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3
Step-by-step explanation:
All you really have to do for all of the problems is substitute your value of "x" for the function.
17.) f(x) = 8x - 7; f(x) =17
17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides
24 = 8x ------ divide 8 on both sides
x = 3
18.) g(x) = -4x + 7; g(x) = 27
27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides
20 = -4x
x = -5
