Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have
substitute
For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r
elevated both sides to 1/7
therefore
Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation
Answer:
p - 4
Step-by-step explanation:
It is like saying 7 - 4, but with a variable.
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Answer:
3m times 2m = 1m
Step-by-step explanation:
because 4m- 1 =3m and m+2 =2m
Answer: -1
Step-by-step explanation: A typical quadratic equation is 
and the maximum value formula is -b/2a, so let plug it in -4/2(-4) which equals 1/2. Then let plug 1/2 into the equation,
-4(1/2)^2+4(1/2)-2=
-1+2-2=
-1
