Answer: 40 seconds per worksheet
Step-by-step explanation:
From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.
Based on this, his unit rate of completing worksheets will be given as:
= 8 minutes / 12
= 480 seconds / 12
= 40 seconds per worksheet
Note 1 minute = 60 seconds
8 minutes = 8 × 60 = 480 seconds
Answer:
0.8743 = 87.43% probability that more than one accident occurs per year
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Buchtal, a manufacturer of ceramic tiles, reports on average 3.1 job-related accidents per year.
This means that
What is the probability that more than one accident occurs per year?
This is:
In which
Then
0.8743 = 87.43% probability that more than one accident occurs per year
Answer:
See below
Step-by-step explanation:
- <em>There is a formula for estimating square root of non-perfect square numbers</em>
- <em>√(A²±B) = A ± B/2A</em>
- <em>where A² is the nearest perfect square, B is the difference between the original number and the perfect square</em>
<u>Examples</u>
- 1) √75 = √(8²+11) = 8 + 11/(2*8) = 8 + 11/16 = 8.6875
- 2) √114 = √(11² - 7) = 11 - 7/(2*11) = 10.6818
The zero-product property is when the two factors of a polynomial equal zero, you equate each with zero and solve them separately. So, for this problem,
(x - 2) = 0 and (x+7) = 0
Then x = 2 and x = -7
The answer for the values of x is 2 and -7.