Answer:
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
Step-by-step explanation:
To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.
To find the new scale, we can find the real length of the patio first:
2 inches -> 3 feet
14 inches -> X feet
2/14 = 3/X
X = 21 feet
Now we can use this value to create the new scale:
16.8 inches -> 21 feet
2 inches -> X feet
16.8/2 = 21/X
X = 2*21/16.8 = 2.5 feet
So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet
Now, to find the new width of the blueprint, we can do the following rule of three:
14 inches of length -> 16.8 inches of length
12 inches of width -> X inches of width
14/12 = 16.8/X
X = 12*16.8/14 = 14.4 inches
Answer:
-1
Step-by-step explanation:
f(x) = 2x-5
f(2) x = 2
f(x) = 2(2)-5
f(x) = 4-5
f(x) = -1
Answer:
8.062257748
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Answer:
The answer is below
Step-by-step explanation:
A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 4%of all major bridges in that city will have ratings of 4 or below.
a. Use the forecast to find the probability that in a random sample of major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020.
Answer:
This problem is a probability binomial distribution and it can be solved using the formula:
Hence the solution to the problem is given as:
P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]
Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence: