Answer:
Step-by-step explanation:
reflection
Answer:
x = 19
Step-by-step explanation:
The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.
Each side of the base measures x - 6, and the perimeter of the base is 78 units.
Length of each side = x - 6
The total length of the base = perimeter of the base.
The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:
Perimeter of base = 6(x - 6)
78 = 6x - 36
6x = 78 + 36
6x = 114
x = 114 / 6
x = 19
Length of each side of base = x - 6 = 19 - 6 = 13 units
Answer:
Step-by-step explanation:
The formula of an area of a circle:
r - radius
The formula of a circumference of a circle:
We have the area of a circle
Substitute to the formula and solve for r:
<em>divide both sides by π</em>
Put the value of r to the formula of a circumference:
Answer:
If we examine a sample of tires used for 60,000 miles and determine the proportion that are worn out, how likely is that proportion to be 3.6% or less?
Step-by-step explanation:
First of all, when you want to contrast two hypothesis you need a confidence level p% without which the comparison makes no sense.
In this case, you want to refuse the null hypothesis (the average is 5%) with an alternative one (the average is less than 5%).
You propose a new average (3.6%) based on the evidence.
You cannot prove that the average is actually 3.6%, <em>but if you somehow determine that the probability the average is greater than 3.6% is lower than 100% minus your confidence level p% ,then you can refute the null hypothesis and accept the alternative one as new average.
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So, from the possible choices, the one that fits the best is
If we examine a sample of tires used for 60,000 miles and determine the proportion that are worn out, how likely is that proportion to be 3.6% or less?