For this case we have the following function:
Let's rewrite the function:
We set the denominator to zero to see the values of x for which it is not defined:
From here, we get:
There is a removable discontinuity at x = -2, since by rewriting the function we have:
Answer:
the removable discontinuity of f (x) is located at:
x = -2
Box 1 : -12a Box 2: 8B box 3: -12a
The 15% tax on $29.99 is $4.50. So with the tax on the price, the total price is $34.49
Answer:
a) Normal Distribution
b) 0.146
c) 0.070
Step-by-step explanation:
We are given the following information in the question:
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4
a) 
: mean number of accidents per week at the intersection during a year (52 weeks)
According to central limit theorem, as the sample size becomes larger, the distribution of mean approaches a normal distribution.
Since we have a large sample, the approximate distribution of is a normal distribution with
b) P(mean is less than 2)
Formula:
P(x > 610)
Calculation the value from standard normal z table, we have,
c) P(fewer than 100 accidents at the intersection in a year)
P(x < 100)
Calculation the value from standard normal z table, we have,
Given:
The given equation is:
Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.
To find:
The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.
Solution:
We have,
The height of the ball is at least 36 feet above the ground. It means 
.
Splitting the middle term, we get
The critical points are:
These two points divide the number line in 3 intervals 
.
Intervals Check point Result
0 
False
4 
True
8 
False
The inequality is true for (2,6) and the sign of inequality is 
. So, the ball is above 36 feet between 2 to 6 seconds.
Therefore, the required inequality is and the ball is 36 feet above for 4 seconds.
