First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have
Which means that the roots are
Next, we can expand the function definition:
In this form, it is much easier to compute the derivative:
If we evaluate the derivative in the points of interest, we have
This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation
is what we need. The three lines are:
This is the tangent at x = -2
This is the tangent at x = 0
This is the tangent at x = 1
Answer:
1 /1 ; 360°
Step-by-step explanation:
Start time = 2:30 pm
Stop time = 3:30 pm
Minute hand makes a complete revolution per hour ;
This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1
The angle turned by the minutes hand :
1 complete revolution = 360°
A circle covers 360°
1 /1 fraction of a circle = 1/1 * 360° = 360°
Hence, angle turned by the minute hand = 360°
Answer:
a. B. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of a value to the total number of observations.
b. A. A relative frequency is the same as a percentage expressed as a decimal.
Step-by-step explanation:
Frequency is the number of repetitions of a particular observation.
Relative Frequency is the ratio of the frequency of particular observation to the sum of frequencies of all the observations.
The percentage is the proportion of the whole.
Thus, In question (a)
Option B is the only correct answer.
and in question (b)
Option A is the only correct answer.
Answer:
45 and 63
Step-by-step explanation:
7x-5x=18
<u>2x</u>=<u>18</u>
2 2
x=9
7(9)=63
5(9)=45
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The sample
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Generally the sample size is mathematically represented as
=> 
Generally the number of the sample with an income greater $60,000 is mathematically represented as
=> 
Generally the number of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
=> 
