Answer:
Step-by-step explanation:
Suppose we think of an alphabet X to be the Event of the evidence.
Also, if Y be the Event of cheating; &
Y' be the Event of not involved in cheating
From the given information:
Thus,
P(Y') = 1 - 0.01
P(Y') = 0.99
The probability of cheating & the evidence is present is = P(YX)
The probabilities of not involved in cheating & the evidence are present is:
(b)
The required probability that the evidence is present is:
P(YX or Y'X) = 0.006 + 0.000099
P(YX or Y'X) = 0.006099
(c)
The required probability that (S) cheat provided the evidence being present is:
Using Bayes Theorem
Answer:
The height of the wall is 9.17ft
Step-by-step explanation:
The length of the ladder is 10ft
Distance from the foot of the ladder to the wall is 4ft
The height of ladder is unknown.
To solve this question, you'll require a pictorial illustration of the situation. Kindly check attached document for that.
Since it's a right angle triangle, we have two sides with one sides unknown, we can use pythagorean theorem to find the third side.
The hypothenus (x) is 10ft
The adjacent is (y) 4 ft
The opposite (z) (height of the wall) is unknown.
X² = Y² + Z²
10² = 4² + Z²
100 = 16 + Z²
Z² = 100 - 16
Z² = 84
Z = √(84)
Z = 9.165 = 9.17ft
The height of the wall is 9.17ft
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.
<h3>What is a number line?</h3>
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.
Learn more about the Number line:
brainly.com/question/557284
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Answer:
31.525
Step-by-step explanation:
first you calculate the tip, 0.18*25 is 4.5
then you calculate the tax, 0.081*25 is 2.025
finally you add everything together, 25+4.5+2.025 is 31.525
Take the number "of" divided by the other number then multiply it by 100% to get the percentage.
(21/33.5) ×100%= 62%