Using the normal distribution, considering it's symmetry, it is found that the value of C is of 2.19.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The standard normal distribution has mean and standard deviation given, respectively, by:
.
Hence, considering the symmetry of the normal distribution, the value of c is <u>Z with a p-value of (1 + 0.9715)/2 = 0.98575</u>, hence c = Z = 2.19.
More can be learned about the normal distribution at brainly.com/question/24663213
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the expression 
as a sum or difference is 
and , is simplified as 
.
<u>Step-by-step explanation:</u>
We need to rewrite the expression as a sum or difference , them simplify if possible , And the expression is :
From trigonometric identity we know that
Using the above identity we get:
⇒
⇒ 
⇒
⇒ 
⇒
Therefore , the expression as a sum or difference is and , is simplified as .
Answer:
B
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 )
Given
4x + 5y = - 45 ( subtract 4x from both sides )
5y = - 4x - 45 ( divide terms by 5 )
y = - 
x - 9 ← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 
, then
y = x + c ← is the partial equation
To find c substitute (- 4, - 11 ) into the partial equation
- 11 = - 5 + c ⇒ c = - 11 + 5 = - 6
y = x - 6 → B
Answer:
See attached graph
Step-by-step explanation:
The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.
Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).
Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.
The line ends at minute 15 which is the time it took him to get to work.
<span>The graphs are identical and intersect at infinitely many points
Example of an identity:
x+2=x+2.
same expression on both sides. Reducing it will give 0=0 " identity"
-------------------------------------
Example of an equation
x+2=0
Reducing it will give you a solution x=-2. </span>
