Answer:
A: -9a
Step-by-step explanation:
Hope that helps!
Answer:
5π/3 radians
Step-by-step explanation:
The central angle for arc CBD has the same measure as the arc:
300° = 5π/3 radians
_____
180° is π radians, so (5/3)(180°) = 300° = (5/3)π radians.
Answer:
(a) What is the probability that a randomly chosen 10 year old is shorter than 51 inches?
Formula :
refer the z table
P(z<-0.66)=0.2546
Hence the probability that a randomly chosen 10 year old is shorter than 51 inches is 0.2546
(b) What is the probability that a randomly chosen 10 year old is between 57 and 67 inches?
Formula :
refer the z table
P(z<0.333)=0.6293
refer the z table
P(z<2)=0.9772
P(57<x<67)=P(0.333<z<2)=P(z<2)-P(z<0.333)= 0.9772-0.6293=0.3479
Hence the probability that a randomly chosen 10 year old is between 57 and 67 inches is 0.3479
c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"?
1 - 0.10 = 0.9
Refer the z table
probability of shortest = 0.98
z corresponding 0.9 = 1.28
Hence the height cutoff for "very tall" is 62.98
d)The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10 year olds cannot go on this ride?
p(z<-0.166)=0.4364
Hence 43.64% of 10 year olds cannot go on this ride
200,000 milligrams is equivalent to 200 grams.
<u><em>Answer:</em></u>
volume of sphere = 288π ft³
<u><em>Explanation:</em></u>
volume of sphere =
where pi is a constant and r is the radius of the sphere
<u>We are given that: </u>
The diameter of the sphere is 12 ft.
<u>This means that</u> the radius =
<u>Substitute with the radius in the above equation to get the volume as follows:</u>
volume = ft³
Hope this helps :)