Answer:
C
Step-by-step explanation:
They can't form a triangle because the sum of 2 sidelengths is ALWAYS greater than the 3rd side in a triangle. Because 5+7=12<14, this means that it can't form a triangle.
Answer:
X=9
Step-by-step explanation:
10x-30 = 7x-3
10x-7x = -3 + 30
3x = 27
x=9
Answer: D
Step-by-step explanation: You just have to take the equation in the question and simplify it. -2 x y = -2y, -2 x -8 = +16, so -2y + 16, then on the other side add 10 to 15 15+10=25, and then keep the -y, so finally the final equation/inequality is -2y + 16 <u><</u> 25 - y.
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Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
_____
<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
Answer: f) None of the above
= ( 5.283, 5.917)
Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.6ft
Standard deviation r = 1.0ft
Number of samples n = 27
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
5.6+/-1.645(1.0/√27)
5.6+/-1.645(0.192)
5.6+/-0.317 ft
= ( 5.283, 5.917)
Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)
