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KengaRu [80]
4 years ago
15

Find the value of x. 3x, 2x, 55

Mathematics
1 answer:
SOVA2 [1]4 years ago
7 0

The sum of the measures of the angles in a triangle is 180°.

Therefore we have the equation:

2x° + 3x° + 55° = 180°

5x° + 55° = 180°    <em>subtract 55° from both sides</em>

5x° = 125°     <em>divdie both sides by 5</em>

x° = 25°

<h3>Answer: x = 25</h3>
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Answer:

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

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 = 30 - 1 = 29

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.462

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.462\frac{91.5}{\sqrt{30}} = 41.13

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 375 - 41.13 = 333.87 kWh

The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

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3 years ago
How do I solve 964x83
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a man paid $8000 for a car since then ,its value has fallen by 25% calculate the current value please help me​
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Answer:

$6000

Step-by-step explanation:

so basically, 25% of the 100% value is gone, right? which means that 75% of the value would remain. After that, all is easy. 8000*0.75, since 75% is 0.75, and the answer of that is 6000, so the current value is 6000 dollars.

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Answer:

see below

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