Answer:
Step-by-step explanation:
For repetitive calculations, it is convenient to let a spreadsheet or calculator do them. See attached for the table of values and the graph. The graph is that of an exponential curve. Its slope increases at an increasing rate.
Given:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
To find:
The other zero.
Solution:
We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.
It means, line of symmetry passes through the mid point of both zeroes.
Let the other zero be x.
Multiply both sides by 2.
Add 9 on both sides.
Therefore, the other zero of the quadratic function is 2.
Answer:
24 hours
Step-by-step explanation:
Let m represent motorcycles and h represent hours it takes to make the motorcycles
Therefore it takes "24 hours" to create 16 motorcycles.
Hope this helps.
Answer:
a. Yes(n=500>=5, n(1-p)=25>=5)
b. 0.15241
Step-by-step explanation:
a. A normal approximation to the binomial can be used 5 and n(1-p)>=5:
#We calculate our p as follows:
=x/n=470/500=0.94
n=500
n(1-p)=500(1-0.95)=25
Hence, we can use the normal approximation.
b. This is a normal approximation.
-Given that p=0.95(95%)
-We verify if our distribution can be approximated to a normal:
Hence, we can use the normal approximation of the form:
Hence, the probability of the sample proportion is the same as the proportion of the sample found is 0.15241