Answer:

--- Variance
Step-by-step explanation:
Given

Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.

For 59 - 66

For 67 - 74

For 75 - 82

For 83 - 90

So, the table becomes:

The mean is then calculated as:



-- approximated
Solving (b): The sample variance:
This is calculated as:

So, we have:


-- approximated
Answer:
No, equivalent quarterly rate will be approx 1.75%
Step-by-step explanation:
Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.
We know that there are 4 quarters in 1 year.
So to find that equivalent quarterly we will divide given yearly rate by number of quarters.
That means divide 7% by 4.
which gives 1.75%.
But that is different than Chan's though of 2% quarterly interest.
Hence Chan is wrong.
(a) Calculate the vertical distance between the eagle and the seahorse.
Answer a: 11.38 meters is the vertical distance between them.
(b) Describe Adrian's position from the sea level.
Answer b: Adrian is 1.13m below the sea level.
Step-by-step explanation:
(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.
The vertical distance between the eagle and the seahorse is the difference between their positions:
Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters
Answer a) 11.38 meters is the vertical distance between them.
(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:
Middle = 11.38m/2 = 5.69m
Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:
4.56m - 5.69m = -1.13m
Answer b: Adrian is 1.13m below the sea level.
<h2><em>Spymore</em></h2>
Answer:

Step-by-step explanation:
To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:
y = 2x - 10
Switch positions:
x = 2y - 10
Add '10' to both sides to begin simplifying:
x + 10 = 2y
Divide both sides by 2:

This can be rewritten as:

Therefore, the inverse of the function is:
