How do you construct an inscribed hexagon? explain
1 answer:
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Answer:
It will take Josie 80 minutes to run 10 miles.
Step-by-step explanation:
We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!
We know that the ratio of 24:3 will be the same for any number of miles, so we can say
We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.
24/3 = 8
8 =
80 = x
It will take Josie 80 minutes to run 10 miles.
Answer:
(a) The probability that a randomly selected U.S. adult uses social media is 0.35.
(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.
(c) The probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = an US adult who does not uses social media.
<em>Y</em> = an US adult between the ages 18 and 29.
<em>Z</em> = an US adult between the ages 30 and above.
The information provided is:
P (X) = 0.35
P (Z) = 0.78
P (Y ∪ X') = 0.672
(a)
Compute the probability that a randomly selected U.S. adult uses social media as follows:
P (US adult uses social media (<em>X'</em><em>)</em>) = 1 - P (US adult so not use social media)
Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.
(b)
Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:
P (Adults between 18 - 29 (<em>Y</em>)) = 1 - P (Adults 30 or above)
Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.
(c)
Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:
P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')
Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.
Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to
therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant