Step-by-step explanation:
that is really easy, when you have the function in such a factorial form already.
the zeros of the whole function are the x values that turn at least one factor to 0 (as when one factor is 0, then the whole expression is 0).
so, you get a zero, when x = 7, or x = 3, or x = 2.
because then either x-7 or x-3 or x-2 is 0.
therefore, C is the right answer.
Answer:
$142 ; 0.749 ; Normal ; 0.090938
Step-by-step explanation:
Mean and standard deviation :
The mean of the distribution x = $142, because the sample size is sufficiently large, the distribution will be approximately normal (central limit theorem).
Standard deviation of distribution : σ/ sqrt(n)
= 29 / sqrt(1500)
= 0.749
B.)
Shape of sampling distribution of X.
The shape of the sampling distribution will be approximately normal due to the large sample size used. This is according to the central limit theorem whereby distribution of sample converges to normal with increasing sample size. Mean ~ N(142, 0.749²)
C.)
P(X > 143)
Using the relation :
Z = (x - mean) / standard error
Z = 143 - 142) / 0.7489
Z = 1.335
P(Z > 1.335) :
Using the Z probability calculator :
P(Z > 1.335) = 0.090938
Answer:
Option A = 75 is the best option
Step-by-step explanation:
It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets
Rate = Number of jobs done/Time taken = 90 packages/hr
Number of jobs done = Rate * Time taken = 90 * 2.5 = 225 packages.
Dwayne has assembled the same number of packages = 225 (as reported in the question),
It took Ashlie 2.5 hours (11 am - 2pm)
Then, his work rate is calculated as: Number of jobs done/Time taken = 225 packages/3 hours = 75
Thus, option A = 75 is the best option
Subtract 3.52 - 2.44= 1.08 miles