Answer:
The dimension of the sandbox is (2x+1) by (x - 3)
Step-by-step explanation:
It seems the complete question will be:
The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.
Step-by-step explanation:
From the question, the given expression is 2X^2-5x-3. This can be rewritten as

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.
Factorizing the expression
, we get



Hence, the dimension of the sandbox is (2x+1) by (x - 3)
Answer:
The answer is x=12.
Step-by-step explanation:
First, to solve this equation you need to isolate the x variable. To isolate the variable, you must, subtract the other term from both sides. Subtracting 18 from both sides, you are left with 3x = 36. Since 3 times x = 36, dividing both sides by 3 gets you, x=12.
Answer:
180 pages
Step-by-step explanation:
Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;
number of pages = time × speed
= (4 × 60) × 25
= 240 ×25
= 6000 pages
Thus, number of pages photocopied in 4 hours is 6000.
For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;
=
× 3
= 60 × 3
= 180 pages
The expected number of pages with printing error during 4 hour photocopying session is 180 pages.
1,0000. It is the smallest 5 digit even number and happens to be odd
Answer:
a) The mean number of cases is 0.14608 cases.
b) The probability that the number of cases is exactly 0 or 1 is 0.990.
c) The probability of more than one case is 0.010
d) No, because the probability of more than one case is very small
Step-by-step explanation:
We can model this problem with a Poisson distribution, with parameter:

a) The mean amount of cases is equal to the parameter λ=0.14608.
b) The probability of having 0 or 1 cases is:

c) The probability of more than one case is:

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.