Answer:
Step-by-step explanation:
(b)
(i)
(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point.
<u>The number of candidates passed the test:</u>
(iii) P(pass) = 323/500 = 0.626 or 62.6%
Answer:
12
Step-by-step explanation:
240-60
then devided by
15
Answer:
4.
Step-by-step explanation:
We are asked to find the value of expression at .
First of all, we will find the derivative of the given expression using "Quotient Rule of Derivatives" as shown below:
Therefore, our required derivative is .
Now, we will substitute in our derivative to find the required value as:
Therefore, the value of expression at is 4.
Answer:
y = - 6x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 3 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - 6, hence
y = - 6x + c ← is the partial equation of the perpendicular line.
To find c substitute (- 3, 23) into the partial equation
23 = 18 + c ⇒ c = 23 - 18 = 5
y = - 6x + 5 ← equation of perpendicular line
Answer:
Step-by-step explanation:
1) In a telescoping series almost every term cancels either with a prior or with the subsequent term. To determine if a Series converges to a finite value or infinite value we need to calculate its partial sum.
2) So let's start with this sum:
3) Let's sum its partial sum to find out if it converges or diverges, i.e.:
4) The value for this
Then this Telescoping Series is divergent, because it does not converge to a finite value.