The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
1 answer:
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A total of 15 devices will be used.
This means that
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that
What is the probability that one of the devices fail?
This is
36.58% probability that one of the devices fail
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Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
Answer:
115.3 hertz
Step-by-step explanation:
For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.
For the first interval:
For the second interval:
Part A:
Given that <span>Starlight tree farms sells Douglas Firs and Noble First.
Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.
Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377
Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.
Part B:
</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.
Subtracting 275 from both sides of the equation gives:
</span>
<span>
Dividing both sides by 55 gives:
</span>
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>
Given that <span>Starlight tree farms sells Douglas Firs and Noble First.
Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.
Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377
Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.
Part B:
</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.
Subtracting 275 from both sides of the equation gives:
</span>
<span>
Dividing both sides by 55 gives:
</span>
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>