Is (2, 2) a solution to the inequality 2x+5y< 20
2 answers:
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Answer:
y+5=-3/4(x+6)
or in slope intercept
y= -3/4x-38/4
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--5)=-3/4(x--6)
y+5=-3/4(x+6)
y+5=-3/4x-18/4
y=-3/4x-18/4-20/4
y= -3/4x-38/4
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:
