Answer:
f(x)=208^0.3x
Step-by-step explanation:
Think of this as a graph. You start out with 208 caribou, which is your y intercept, as it is there when the growth is 0.
The generic formula fr an exponential equation is a^x.
A represents your initial value. In this case, its 208
x represents the growth. In this case, it's 0.3%.
Your equation should be f(x)=208^0.3x
Answer:
a) 0.6915; b) 2.83 years
Step-by-step explanation:
For part a,
The formula for a z score is

Our mean, μ, is 3.25 and our standard deviation, σ, is 0.5.
This gives us
z = (3-3.25)/0.5 = -0.25/0.5 = -0.5
Using a z table, we see that the area under the curve to the left of this is 0.3085. However we want the area to the right; this means we subtract from 1:
1-0.3085 = 0.6915
For part b,
We look in the cells of a z table to find the value closest to 20%, or 0.2000. This is 0.2005, which corresponds with a z score of -0.84:
-0.84 = (X-3.25)/0.5
Multiply both sides by 0.5:
0.5(-0.84) = ((X-3.25)/0.5)(0.5)
-0.42 = X-3.25
Add 3.25 to each side:
-0.42+3.25 = X-3.25+3.25
X = 2.83
The advertised life would be 2.83 years.
Answer:
y=24 x=33
Step-by-step explanation:
Example: ⇒
y
=
k
x
to find k use the given condition
y
=
−
24
when
x
=
8
y
=
k
x
⇒
k
=
y
x
=
−
24
8
=
−
3
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
−
3
x
2
2
∣
∣
∣
−−−−−−−−−−−−−−
when
x
=
10
then
y
=
−
3
×
10
=
−
30
We could use the product rule of probabilities in solving this problem. For the first roll, the probability of getting an even number is 3 / 6 = 1/2. For the second roll, the probability of getting a 6 is 1/6. Multiplying both is 1/2 * 1/6 = 1/12.
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If not your answer is A