Answer:
Third Option
Step-by-step explanation:
We know that the function 
is defined as 
. Since the denominator is 
then we know that 
when 
We also know that the division by 0 is not defined. Therefore, the limit of 
when "x" tends to 
is infinite.
The function 
is the inverse of
By definition, if we have a function f(x), its domain will be equal to the range of its inverse function 
. If 
, then 
This also happens for the function
If when 
then when 
Then, the answer is:
The triangle is obtuse since it has an angle more than 90 degrees.
It also has 2 equivalent sides that are represented by the line, meaning it is isosceles.
Therefore,
C. and E. are correct.
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Answer:
$6.03
Step-by-step explanation:
The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.
So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.
Each pair of socks cost $6.03.
Simpler Explanation:
- $75.15 - $45 = $30.15
- $30.15 / 5 = $6.03
The answer is $6.03
Answer:
Skewed to the left
Step-by-step explanation:
Given
Required
The type of distribution
From the given data, we have:
--- Mean and Median are not equal
and
--- Median is greater than mean
<em>When the median is greater than the mean; the histogram is expected to be left skewed</em>
Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
We substitute x=161.4 , 
, and 
to get:
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
