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nordsb [41]
3 years ago
15

When you flip a biased coin the probability of getting a tail is 0.42.

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

0.58 or 58%

Step-by-step explanation:

If the highest probability is 1, and you already have 0.42, you have to find what is left, so our equation is:

1 - 0.41 = 0.58

So the probability of getting a head is 0.58 or 58%

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Which expression is equivalent to
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HELPP!! Points A and B are on the different sides on line l, the distance between point A and the line l is 10 in, the distance
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Answer:

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Step-by-step explanation:

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Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x
irga5000 [103]
Convert all the equations to slope-intercept form:
2y-4x=3 \ \ \ |+4x \\&#10;2y=4x+3 \ \ \ |\div 2 \\&#10;y=2x+\frac{3}{2}

A. \\&#10;-2y+4x=1 \ \ \ |-4x \\&#10;-2y=-4x+1 \ \ \ |\div (-2) \\&#10;y=2x-\frac{1}{2} \\ \\&#10;B. \\&#10;3y-6x=6.5 \ \ \ |+6x \\&#10;3y=6x+6.5 \ \ \ |\div 3 \\&#10;y=2x+\frac{13}{6}

C. \\&#10;y-2x=3 \ \ \ |+2x \\&#10;y=2x+3 \\ \\&#10;D. \\ &#10;-2y-4x=3 \ \ \ |+4x \\&#10;-2y=4x+3 \ \ \ |\div (-2) \\&#10;y=-2x-\frac{3}{2}

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
3 0
3 years ago
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 :
const2013 [10]

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

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

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that n = 1067, \pi = \frac{74}{1067} = 0.069

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

7 0
2 years ago
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