Answer:
0.75
Step-by-step explanation:
4.50 is 6% of 75% then 0.75 is 75% in decimal form, so 0.75 is 6% of 4.50
Hope I helped :)
Answer:
B, C
Step-by-step explanation:
that's the answerrr
Answer:
y= - 1/6x -1
Step-by-step explanation:
Given:
Perpendicular line has slope of reciprocal opposite to the given: - 1/6, so the equation:
Finding b using the intersected point:
- -2= -1/6*6 +b
- b= -2 +1= -1
So the equation is:
Answer:
(0.6430, 0.8170)
Step-by-step explanation:
Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.
Sample size n = 100
Sample proportion p = ![\frac{73}{100} =0.73](https://tex.z-dn.net/?f=%5Cfrac%7B73%7D%7B100%7D%20%3D0.73)
q = 1-p = 0.23
Std error of proportion = ![\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.73*0.27}{100} } \\=0.04440](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%5C%5C%3D%5Csqrt%7B%5Cfrac%7B0.73%2A0.27%7D%7B100%7D%20%7D%20%5C%5C%3D0.04440)
95% Z critical value = 1.96
Margin of error = ![1.96*0.0444 = 0.0870](https://tex.z-dn.net/?f=1.96%2A0.0444%20%3D%200.0870)
Confidence interval = sample proportion ±margin of error
0.642983946
0.817016054
(0.6430, 0.8170)
Since the time to failure distribution is
exponential, the distribution is F (n) = 1 – e ^ (-x/48)
The probability of failure between months 60
and 72 is the same as the probability that the battery will fail in 12 months,
since the exponential distribution is memoryless F (12) = 0.221
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