Answer:
x = 41
Step-by-step explanation:
<u>Subtract the lower term in both sides</u>
3x - x = 2x
2x - 84 = -2
<u>Add 84 in both sides</u>
84 -2 = 82
2x = 82
<u>Divide 2 in both sides</u>
2x/2 = x
82/2 = 41
<u>Simplify</u>
x = 41
<u>Answer</u>
x = 41
Answer:
C. 469 in²
Step-by-step explanation:
The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.
In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.
The total surface area of the prism is then ...
(392 + 77) in² = 469 in²
_____
The area of a rectangle is the product of its length and width.
The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.
_____
<em>Comment on the geometry</em>
This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.
Answer:
a range of values such that the probability is C % that a rndomly selected data value is in that range
Step-by-step explanation:
complete question is:
Select the proper interpretation of a confidence interval for a mean at a confidence level of C % .
a range of values produced by a method such that C % of confidence intervals produced the same way contain the sample mean
a range of values such that the probability is C % that a randomly selected data value is in that range
a range of values that contains C % of the sample data in a very large number of samples of the same size
a range of values constructed using a procedure that will develop a range that contains the population mean C % of the time
a range of values such that the probability is C % that the population mean is in that range
Answer:
523.33 mm³
Step-by-step explanation:
The volume (V) of a sphere is calculated using the formula
V =
πr³ ← r is the radius = 5, thus
V =
π × 5³
=
≈ 523.33 mm³