3.√(27x^9) = (27x^9)^(1/3) = 3x^3
You have to decide all sides to figure out all the kissing pieces
Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:


The correct answer is the first answer choice.
Using confidence interval concepts, it is found that:
a) The point estimate is the sample mean.
b) The confidence interval is: 
c) If $1411 is between the bounds of the interval yes, otherwise no.
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- At item a, it asks to provide a point estimate for the population mean, which is the sample mean

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Item b:
- In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
- The confidence interval will be given by:

In which:
is the sample mean.- T is the critical value, from the t-distribution, with a two-tailed area of
and n-1 degrees of freedom. - s is the standard deviation for the sample.
- n is the sample size.
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Item c:
We have to check if 1411 is between
and
.
- If it is, the interval includes the National Average, otherwise, it does not.
A similar problem is given at brainly.com/question/24232455
Answer:
Twine needed to wrap 29 cartons = 51.55 yards
Explanation:
1 feet = 0.3333 yard
1 inch = 0.0277778 yard
Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches
= 1 + 2 x 0.3333 + 4 x 0.027778
= 1.777712 yards.
Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.
Twine needed to wrap 29 cartons = 51.55 yards