Determine which of the following formulas hold for all invertible n×n matrices A and B.
1 answer:
You might be interested in
Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so
substitute in the formula above
solve for x
therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Answer:
You can decide to <u>reject</u> the Null Hypothesis at p < 0.05.
Step-by-step explanation:
In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.
The categories of childhood trauma are:
Trauma and No trauma.
So, number of rows is, <em>r</em> = 2.
The categories of weight in adulthood are:
Low to normal, Overweight, and Obese
So, number of columns is, <em>c</em> = 3.
The distribution of the statistic is chi-square with (<em>r </em>- 1)(<em>c </em>- 1) degrees of freedom, where <em>r</em> represents the number of rows in the two-way table and <em>c</em> represents the number of columns.
Compute the degrees of freedom as follows:
It is provided that the calculated value of Chi-square test statistic is 18.26.
Compute the <em>p</em>-value of the test as follows:
Decision rule:
The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.
The significance level is, <em>α</em> = 0.05.
<em>p</em>-value = 0.00011 < <em>α</em> = 0.05.
The null hypothesis will be rejected at 5% level of significance.
Thus, the complete statement is:
"You can decide to <u>reject</u> the Null Hypothesis at p < 0.05."