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Tamiku [17]
3 years ago
5

What’s the calculation of the equation 5/8-1/4=

Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer: 3/8

Explanation: To subtract unlike fractions such as 5/8 - 1/4, first find a common denominator. The common denominator of 8 and 4 will be the least common multiple of 8 and 4 which is 8.

Notice that our first fraction already has 8 in the denominator so it stays the same. To get 8 in the denominator of 1/4, we multiply the numerator and denominator by 2 to get 2/8.

Now we have 5/8 - 2/8.

To subtract like fractions, we simply subtract the numerators to get 3 and keep our denominator of 8 and we have 3/8.

Since 3/8 is in lowest terms, it's our final answer.

Therefore, 5/8 - 1/4 = 3/8.

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A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 a
Anuta_ua [19.1K]

Answer:

The critical value is T = 1.895.

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 6

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.895, which is the critical value.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159

The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

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