The reasons for each incorrect statement are as follows;
- The error in the statement is that, there might be other luckier numbers compared to number 7 and hence, the statement does not hold true for all numbers.
- The statement is incorrect because, there are 36 different possibilities and there are 5 possibilities of getting an 8.
- The statement is incorrect because, 93% does not necessarily represent a 93% chance of complete recovery as this is subject to other variables.
- The probability that they win is not 1/3 as it is subject to what the results have been over the years and not just the possible results.
- Since, the coin is unbiased, it follows that upon flipping the coin for the fifth time, it is not likely to have tails the next time it is flipped.
- The statement is incorrect because some students study during the week and weekends, hence, the conclusion is not correct.
<h3>What is Probability?</h3>
The term probability put simply is the ratio of the desired outcome to the possible outcomes. It therefore follows that probability as the name implies is used to predict the chance of an occurrence.
Read more on probability;
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Answer:
Step-by-step explanation:
Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:
We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:
Let <em>a</em> be the adjacent side and <em>b</em> be the opposite side. <em>c</em> will be the hypotenuse.
Substitute:
Solve for <em>b: </em>
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So, the opposite side measures 12.
Then sine will be:
Answer:
52 miles per hour.
Step-by-step explanation:
Divide 234 by 4.5, as that is what you must divide 4.5 by to get 1.
234/4.5 = 52 miles per hour.
1) Formula: area = height * base / 2
2) Call x the height:
height = x
base = 2x
3) State the equation:
(x)(2x) = 49 in^2
4) Solve the equation:
2x^2 = 49 in^s
x^2 = (49/2) in^2
x = √(49/2) in
x = 7√2 / 2 in = 3.5 √2 in
5) Solution:
height = 3.5 √2 in and base = 7√2 in
6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2
Answer: height = 3.5√2 in and base = 7√2 in.
Remark
I would have had the answer a whole lot sooner if I would have read the question properly. The figure in the circle is called a cyclic quadrilateral. It has the odd property that the angles that are opposite each other add up to 180o.
So DEB + DCB = 180o
DEB = 180 - 87
DEB = 93o
Note: The arcs marked 60 and 76 have nothing whatever to do with this problem.
