Each question has 2 possible answers.
There are 13 questions.
Number of different ways =
Answer: There are 8192 different ways.
There are 13 questions.
Number of different ways =
Answer: There are 8192 different ways.
Select the correct answer. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% ch
1 answer:
Answer:
Option A 0.1698
Step-by-step explanation:
Given that Jason has a chance for getting oil as 45%
THe kit he buys show accurate result with 80% probability
Let A1- Event that the land has oil
A2 - Event that the land has no oil
B- The test gives negative result
A1 and A2 are mutually exclusive and exhaustive
P(A1) = 0.45 and P(A2) =0.55
Hence we can use Baye theorem
Then P(B) = P(A1B)+P(A2B)=
Reqd prob =P(A1/B) =
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Answer:
Δy = 0.822
dy = 0.6
Step-by-step explanation:
Let us use the rules:
If f(x) = y, then
- dy = f'(x) . dx
- Δy = f(x + Δx) - f(x)
∵
- Differentiate it (remember the differentiation of is
∴
∴
∵ dy = y' . dx
∴
∵ x = 0
∵ dx = Δx
∵ Δx = 0.6
∴ dx = 0.6
- Substitute x by 0 and dx by 0.6 in y'
∴
- Remember any number to the power of 0 is 1 except 0
∵ = 1
∴ dy = 0.6
∵ Δy = f(x + Δx) - f(x)
∵ x = 0
- Substitute x by
∴ f(0) =
∴ f(0) = 1
∵ Δx = 0.6
∵ x + Δx = 0 + 0.6
∴ x + Δx = 0.6
- Substitute x by 0.6
∴ f(0.6) =
∴ f(0.6) = 1.8221188
∵ Δy = f(0.6) - f(0)
∴ Δy = 1.8221188 - 1
∴ Δy = 0.8221188
- Round it to the nearest 3 decimal places
∴ Δy = 0.822
Answer:
a. 1.25 hours
b. 0.5 miles ahead
Step-by-step explanation:
This problem can be easily solved with the use of relative speed, then a problem of two bodies become a problem of one object.
The relative speed between two objects moving in the same direction is:
In the problem:
What this relative speed means is the speed at which you are catching your friend up, then in order to catch your friend up you need to paddle the distance your friend is in front of you.
The time necesary to catch your friend up is:
The distance that you paddle in order to cath your friend up is:
Then you are 4.25 miles from the finish line (8.5 miles - 4.25 miles) when you catch your friend up. The time necesary to cross the finish line is:
In that time, your friend will paddle:
Then, when you cross the finish line you will be 0.5 miles ahead of your friend (4.25 miles - 3.75 miles).