Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
Answer:
Question 1 : The answer is 143.3 miles
Question 2 : The answer is 120 minutes
Step-by-step explanation:
1.Based on the give conditions:


2. 90 miles = 75min
143.3 ÷ 90 = 1.6
75 × 1.6 = 120
so the answer is 120 min
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
29.63
Step-by-step explanation:
Since there is already 28.3 grams in the container, you just have to subtract 57.93 and 28.3 to get your answer because 57.93 is the total.
Answer: x = 12
Step-by-step explanation:
1. add 5x + 1x which will equal 6x so now your equation is: 6x + 6 = 78
2. subtract 6 from 78 to get 72: 6x = 72
3. divide 72 by 6x to get your answer 12