Answer:
10c + 1200 ≥ 3000, c≥ 180
Step-by-step explanation:
We know that they need at least $3000; meaning, it may be $3000 or more. This leaves us with eliminating the bottom two choices.
We then look at the first two choices. If we were to subtract from 1200, we would not know the total income amount that has been gained. It would also eventually give us negative numbers. We cannot have a negative amount earned. Instead, we would use the 10c+1200 because this would allow us to visualize that it needs to be greater than or equal to 3000
Answer:
the answer is 8/10
Step-by-step explanation:
The reason is that both of the denominators are the same so that you can add the two numerators and then get the answer.
Answer:
(a) The probability is 0.6514
(b) The probability is 0.7769
Step-by-step explanation:
If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:
Where a is the mean number of accidents per day and t is the number of days.
So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.
Then, the probability that a given day has no accidents is calculated as:
On the other hand the probability that February has at least one accident with a personal injury is calculated as:
P(x≥1)=1 - P(0)
Where P(0) is calculated as:
Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:
Finally, P(x≥1) is:
P(x≥1) = 1 - 0.2231 = 0.7769
Step 1: We make the assumption that 498 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=498$100%=498.
Step 4: In the same vein, $x\%=4$x%=4.
Step 5: This gives us a pair of simple equations:
$100\%=498(1)$100%=498(1).
$x\%=4(2)$x%=4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{498}{4}$
100%
x%=
498
4
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{4}{498}$
x%
100%=
4
498
$\Rightarrow x=0.8\%$⇒x=0.8%
Therefore, $4$4 is $0.8\%$0.8% of $498$498.
