So the radius is 5 cm
and we are given the volume at 225 cm³
now breakdown the volume formula for a cone which is V equals 1/3 Bh
b= pi r squared
now substitute everything in
225 equals 1/3 pi(5)^2 Times h
since we don’t know H that is what we’re solving for
225= 1/3 pi(25) times h
multiple 3/1 on both sides to cancel the 1/3
675= 25(3.14) times h
675= 78.5 (h)
h= 675/78.5
h=8.60 cm
Answer:
12 ways
Step-by-step explanation:
Normally there are 4 species of deer in the reindeer, which normally could have been arranged in 4! ways = 24 ways
Now considering the restriction that Prancer and Lancer are put apart
The number of arrangement when they are apart = Total number of ways - number of ways when they are together
Note: If they are put together, the two are seen as one which makes the arrangement to be 3!, but also note that either of them can be at the front or back.
Therefore, the number of arrangement when Prancer and Lancer are put together = 2(3!) = 2(3*2*1) = 12 ways
The number of arrangement when they are put apart = 24 - 12 = 12 ways
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
Answer:
y=-2x+1
Step-by-step explanation:
y-y=m(x-x1)
y-(-3)=-2(x-2)
y+3=-2x+4
-3 -3
y=-2x+1
-(-9)=9 is true because a negative to a negative is positive
