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Vikki [24]
3 years ago
15

PLEASE HELP ME ASAP?!?!

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

b = 12

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.

So:

12² + b² = (12√2)²

144 + b² = [(12√2) (12√2)]

144 + b² = (12 × √2 × 12 × √2)

144 + b² = (144 × 2)

144 + b² = 288

b² = 144

√b² = √144

b = 12

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3 years ago
he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution 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 = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

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M = T*s = 2.7079*234.12 = 633.97

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The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

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