<h2>
Answer:</h2>
(a)
(b)
(c)
<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as :
(a)
We will substitute (x+h) in place of x in the function f(x) as follows:
(b)
Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:
(c)
In this part we will divide the numerator expression which is obtained in part (b) by h to get:
Step-by-step explanation:
Percentage decrease = 30% × 25
New value = 25 - Percentage decreaseNew value =
25 - Percentage decrease =
25 - (30% × 25) =
25 - 30% × 25 =
(1 - 30%) × 25 =
(100% - 30%) × 25 =
70% × 25 =
70 ÷ 100 × 25 =
70 × 25 ÷ 100 =
1,750 ÷ 100 =
17.5
Absolute change (actual difference) =
New value - 25 =
17.5 - 25 =
- 7.5
Correct Ans:Option A. 0.0100
Solution:We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.
First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:
So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.
Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.
<h3>
Answer: 22%</h3>
Explanation:
amount saved = 350-273 = 77 dollars.
Divide this amount over the original price
77/350 = 0.22 = 22% is the discount rate
The equation of a circle with center 
and radius 
is
In your case,
Plug these values into the generic formula and you'll get your equation.
