The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
<h3>Rental cost</h3>
Let
Company A:
90 + 0.20x
Company B:
20 + 0.70x
90 + 0.20x = 20 + 0.70x
90 - 20 = 0.70x - 0.20x
70 = 0.50x
- Divide both sides by 0.50
x = 70/0.50
x = 140 miles
Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
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Answer:
c. you reject a null hypothesis that is true
Step-by-step explanation:
We need to remember the following concepts
Error type I: Is an error associated to the probability of reject a null hypothesis when it is actually true
Error type II: Is an error associated of not rejecting a null hypothesis when the alternative hypothesis is the true
And the best answer for this case would be:
c. you reject a null hypothesis that is true
Answer: <em>1/10</em>
Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.
To find the probability of independent events, first, find the
probability of each event, then multiplies the probabilities.
The probability of spinning an A on the first spinner is 1/5
since there is 1 favorable outcome and 5 total outcomes.
The probability of spinning an odd number on the second spinner
is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,
spinning a 1, 3, or another 3 since these are odd numbers.
So now we have 1/5 × 1/2 and when multiplying fractions,
we multiply across the numerators and denominators to get 1/10.
So the probability of spinning an A, then an odd number is 1/10.
Answer:
The answer is B. Two Foci, hope this helps! :)
Using the normal distribution, it is found that the two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
The z-score that cuts off the bottom and top 2.5% of the distribution is
, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.96 = \frac{X - 0}{1}](https://tex.z-dn.net/?f=-1.96%20%3D%20%5Cfrac%7BX%20-%200%7D%7B1%7D)
X = -1.96
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.96 = \frac{X - 0}{1}](https://tex.z-dn.net/?f=1.96%20%3D%20%5Cfrac%7BX%20-%200%7D%7B1%7D)
X = 1.96
The two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.
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