No profit means P(x)=0: x³-4x²+3x-12=0
factor by regrouping: x²(x-4)+3(x-4)=0
take out (x-4): (x-4)(x²+3)=0
x=4 or x²=-3
x² is not a negative number, so x=4 is the only answer.
100×(1+0.11÷2)^(2×5)
=170.81
100×e^(0.108×5)
=171.60
So she should choose the account which pays the interest continuously
Answer:
a. P=0.01222
b. P=0.98778
c. The probability of rejecting the claim is now P=0.00298.
Step-by-step explanation:
In this case, we evaluate the sampling distribution for a population proportion π=0.8 with a sample size of 25.
We need to calculate the probability of getting a sample mean below 15, which means p=15/25=0.6.
The standard deviation of the sampling distribution is:

The z value por p=0.6 is

The probability of having a sample mean less than 15 is

The probaiblity of not rejecting the claim is 1-0.01222=0.98778
If the value 15 is replaced by 14, we have a new value of p=14/25=0.56.
There will be less chances of rejecting the hypothesis.

