The written form of the mathematical expression as given in the task content; 2 − (p + 6); is; the difference between 2 and the sum of p and 6.
<h3>What is the written form of the mathematical expression given in the task content?</h3>
It follows from the task content that the expression given is; 2 − (p + 6).
Since, the expression in the parentheses can be expressed in words as the sum of; p and 6.
Hence, it follows that the whole expression can be expressed as the difference between 2 and the sum of p and 6.
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Answer and explanation:
A. What is the probability that more than half of the sample of 100 computers would need warranty service?
What is the probability that more than half of the sample of 100 computers would not need warranty service?
What is the probability that out of sample of 100 more than 20% would require warranty service?
B. If our sample of 100 computers of that brand and model reveals that 30 computers need warranty service, does this give a valid conclusion that all such computers in the population would require about 30% warranty service or less?
Solution
f(r) = 3.14
Now we have to find the area of the circle when the radius (r) = 4.
Plug in r = 4 in f(r) to get the area of the circle.
f(4) = 3.14
f(4) = 3.14 * 4 * 4
f(4) = 3.14 *16
f(4) = 50.24
The answer is C. 50.24
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
<h3>What is Linear Speed ?</h3>
As a body travels a circular path, it has both a linear speed and an angular speed. The rate it travels on that path is the linear speed, and the rate it turns around the center of that path is the angular speed. The linear speed (v) and angular speed (ω) are related by the radius (r) or v = rω .
Given that ;
Radius = r = 50 ft
Frequency = f = 2 rev/min
The angular speed is the product of the angular displacement for one complete turn, namely 2π radians per revolution, and the frequency (f). That is, the angular speed is equal to ω = 2πf. Substituting this into the formula for linear speed (v), we get:
v = r (2πf)
= (50 ft) ( 2π / rev) ( 2 rev/min)
= 200π ft/min
≈ 628.2 ft/min
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
Learn more about linear speed here ;
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1. As you can see in the figure attached, the <span> line "t" is the perpendicular bisector of JK, and divides the triangle in two equal right triangles. This means that both triangles are congruent. Therefore, both have equal dimensions. Keeping this on mind, you have the followiig:
2. Both triangles are congruents, then:
GK=GJ
3. So if the lenght GK is 8.25, the length GJ has the same length:
GJ=8.25
4. Therefore, the answer is:
GJ=8.25</span>
