Answer:
a = 14
Step-by-step explanation:
Given
9 + a = 23 ( subtract 9 from both sides )
a = 14
Answer:
See below.
Step-by-step explanation:
He does not have enough to loose 2,000,000 at that point, so this whole problem is nonsense.
Answer:
The value of f(30) is equal to 2.
Step-by-step explanation:
The given expression is :

We need to find the value of f(30)
Put x = 30 in above expression.
So,

Hence, the value of f(30) is equal to 2.
This problem is mainly concerned with setting up an equation.
let's add the interest rates times their respective investment amounts:



simplify:

sum of interest:

1780 = (9000+x) 0.10 + x 0.06 + (11000-2x)0.08


solution:
He does not have any invested in the 6%, while he has 9000 invested at 10% and 11,000 invested at 8%
to check:


So this ended up being a trick problem because he does not actually have any invested in the 6% option.
Answer:
Null hypothesis 
Alternative hypothesis 
The p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.
Step-by-step explanation:
It is given that a data set lists earthquake depths. The summary statistics are



Level of significance = 0.01
We need to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00.
Null hypothesis 
Alternative hypothesis 
The formula for z-value is




The p-value for z=3.4719 is 0.000517.
Since the p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.