Answer:

Step-by-step explanation:
Let the equation of line is
, where
is the slope of the line.
It passes through
.
(<em>Slope of the line</em> joining
)
Hence slope of the given line

Equation of line is: 
The line passes through 

Check if
is on the line 

Hence line passes through
.
Check if
is on the line 

Hence line passes through
.
Answer:
C. 45 and 141 seconds
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 93 seconds
Standard deviation = 16 seconds
99.7% of running times are approximately between:
By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean
3 stnadard deviations below the mean
93 - 3*16 = 45 seconds
3 standard deviations above the mean
93 + 3*16 = 141 seconds
The correct answer is:
C. 45 and 141 seconds
Answer:
(x) =
x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
= x - 8 ( add 8 to both sides )
+ 8 = x
Change y back into terms of x with x =
(x) , thus
(x) =
x + 8
The statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29
<h3>What is an inequality?</h3>
An inequality can be defined as a relation which makes an unequal comparison between two numbers or mathematical expressions.
It is used most often to compare two numbers on the number line by their size
The information given be represented as;

Now, let's find the difference from the left side
We have;

From this, we can see that the statement is wrong as - 29 is neither greater than or equal to 29
The correct statement should be; 8 - 27 is less than 29
Thus, the statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29
Learn more about inequalities here:
brainly.com/question/24372553
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