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raketka [301]
3 years ago
8

Problem 1

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

1) both lights will blink at the same time every 20 seconds

2)Both lights will blink at the same time every 36 seconds

3) How to determine when 2 lights will blink together is that you must find the least common factor (LCM) of both numbers and when both hit the same number then that is when both lights blink at the same time.

Step-by-step explanation:

For example for number 1 we have 4 and 5 seconds when the lights blink

4: 4, 8, 12, 16, 20...

5: 5, 10, 15, 20...

we see that the LCM factor is 20 and that is when both lights will hit at the same time.

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Jose rides his bicycle for 5 minutes to travel 8 blocks .He rides for 10 minutes to travel 16 blocks
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Find the supplement of the complement of a 51 degree angle
Greeley [361]
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The supplement of the compliment of a 51 degree angle is 141 degrees.
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On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadr
BaLLatris [955]

Answer:

g(x) = Negative two-fifths(10)x

Step-by-step explanation:

In order to reflect a function over the x-axis, you have to multiply the function by minus one.

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Its reflection over the x-axis is:

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A study showed that 14 of 180 publicly traded business services companies failed a test for compliance with Sarbanes-Oxley requi
Vika [28.1K]

Answer:

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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For this problem, we have that:

n = 180, \pi = \frac{14}{180} = 0.0778

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 - 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.0387

The upper limit of this interval is:

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The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

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3 years ago
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