Answer:
492,4.93,50,493
Step-by-step explanation:
Answer:
- The means for both data sets are equal.
- The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
- The range of the number of pages that Lionel read is 75.
Step-by-step explanation:
Given
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
in the first case; For Lionel;
Mean = (90+45+30+25+15
)/5 = 41 and
Range = (90-15)=75
The second case; Aaron
Mean = (55+19+40+16+75)/5 = 41 and
Range = (75-16)= 59
Therefore;
Both data sets have the same mean but different range.
The range of the number of pages Lionel is 75, which is greater than the range of the number of pages Aaron read, which is 59.
By definition of absolute value, you have
or more simply,
On their own, each piece is differentiable over their respective domains, except at the point where they split off.
For <em>x</em> > -1, we have
(<em>x</em> + 1)<em>'</em> = 1
while for <em>x</em> < -1,
(-<em>x</em> - 1)<em>'</em> = -1
More concisely,
Note the strict inequalities in the definition of <em>f '(x)</em>.
In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:
All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.
Hello,
A: roots: -1,-3
a point (-2,1)
Vertex=((-2,1)
y=k*(x+1)(x+3) using roots
but k*(-2+1)(-2+3)=1==>k*(-1)*1=1==>k=-1
eq: y=-(x+1)(x+3)
==>y=-(x²+3x+x+3)
==>y=-x²-4x-3
y=k(x+2)²+1 if x=-1,y=0 ==>k*1+1=0==>k=-1
==>y=-(x+2)²+1
Answer :A--> R,K
B)
y=k(x+4)²-2 and k=-1/2
y=-1/2(x+4)²-2
y=-1/2x²-4x-10
answer B--> I,≈W if it is written -1/2*x² (square has been forgotten)
C:
y=2x²-16x+30
y=2(x-4)²-2
answer : C-->S,J
D:
y=-(x+3)(x+1)
y=-x²-4x-3
=-(x+2)²+1
answer D--> V,L
E:
Here there is a problem: or the graph is wrong, or 2 equations are missing!
y=1(x+1)(x-3) using roots
y=x²-2x-3 ≈ T si it were -2x and not +2x.
y=(x-1)²-4 ≈H is it were -1 in place of +1 [H:y=(x+1)²-4]
Add all the chips to find the total amount.
7 + 9 + 3 + 6 = 25 chips
Since there are 6 blue chips (6/25), that's the probability of just getting once.
When you pick a blue chip and it doesn't get replaced, then that means there is one fewer blue chip and one fewer from the total amount.
5/24
Multiply both probabilities.
6/25 * 5/24 = 30/600
Simplify.
30/600 → 1/20
Therefore, the answer is B
Best of Luck!
