To find the hypotenuse of a 45 45 90 triangle, multiply the leg by sq root (2)
8 * sqrt(2) = 8 *
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1.4142135624
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11.313708499
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Source:
http://www.1728.org/trig2.htm
Answer:
B
Step-by-step explanation:
To solve this, we use ratio.
Firstly, we need to know the number of hours traveled. The total number of hours traveled = x+y
Ratio of this used by high speed train = x/(x +y).
Total distance traveled before they meet = [x/(x + y)] × z
For low speed train = [y/(x + y)] × z.
The difference would be distance by high speed train - distance by low speed train.
= z [ (x - y)/x + y)]
Answer:
12
Step-by-step explanation:
Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.
Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.
The equations:
(Ama is a)
(Ama's sister is s)
a = (2/3)s
a - 4 = (1/2)(s - 4)
Step one:
You would substitute the first equation into the second equation to get
(2/3)s - 4 = (1/2)(s - 4)
Step two:
Multiply by 6 to get rid of the fractions to get
4s - 24 = 3(s - 4)
Step three:
Simplify to get
4s - 24 = 3s - 12
Step four:
Subtract 3s and add 24 to get
s = 12
Step five:
Input the s value into the first equation to get
a = (2/3)(12) = 8
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Answer:
There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 300
p = 5% = 0.05
Alpha, α = 0.05
Number of dead pixels , x = 24
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from excel.
P-value = 0.00856
Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Answer:
stuff with math
Step-by-step explanation: