Which description best describes the data in the frequency table .
1 answer:
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Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:
We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, an amount of $12,000 is invested at 5%.
Upon substituting in equation (1), we will get:
Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
B. Larger sample size and lower confidence level
Step-by-step explanation:
The margin of error of a confidence interval is given by the following formula:
In which is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the value of Z.
So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.
We want to decrease the margin of error.
So the correct answer is:
B. Larger sample size and lower confidence level
Answer:
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where is the force acting on the object,
is the object's acceleration and
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting and
into the equation and solving for
:
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is: