ANSWER
EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:
where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:
Substitute the given values into the function above:
To solve further, convert the function from an exponential function to a logarithmic function as follows:
Solve for t:
It will take 9 years for the population to double.
Answer:
4:18, 6:27, etc
Step-by-step explanation:
Basically, anything x 2 and x 9 would be equivalent as a ratio
X=-.5, it’s less than 0, and concave up & increasing in this situation are the same.
Answer:
73626983
Step-by-step explanation:
there’s the answer DONT CLICK AND LINK ID SOMEONE SAY U CAN DOWNLOAD THE ANSWER THERE THEY WILL TRACK U
Solution:-
- The population proportion, P = 0.03 ( 3 % )
- The sample proportion, p = 0.058 ( 5.8 % )]
- The sample size , n = 85.
- State the hypothesis:
Null hypothesis : P = 0.03 ( 3 % )
Alternate hypothesis : P ≥ 0.03 ( 3 % )
- The rejection region is defined by the significance level α:
significance α = 0.05
Z-critical = Z_α = Z_0.05
p-value = Z_0.05 = 1.645
- The Z-statistics:
- Compare against the rejection value ( p - value ):
Z-critical = 1.645
Z-test = 1.5132
Z-test < Z-critical ... ( Null not rejected )
- We fail to reject the Null hypothesis, there is not enough evidence to support the manager's claim that the production process is out of control. Hence, we can support that the production process is not out of control.
