Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
You would take d times t seconds and find the answer
Answer:
C) $3.77
Step-by-step explanation:
- Turn 30% into 0.30 by moving the decimal point (percentage sign) 2 places to the left.
- To solve 30% of $2.90 → 0.30 x 2.90 = 0.87
- Finally $2.90 + $0.87 = $3.77
From the chord theorem we have:
Answer:
Step-by-step explanation:
Given
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
When the frequency is to be calculated, we use:
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
For roll of 1 where the frequency and the probability are not known, we use:
So:
Frequency(1) added to others must equal 125
This gives:
Collect like terms
The probability is then calculated as:
So, the complete table is:
