y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)
<em><u>Solution:</u></em>
Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)
The formula y = mx + b is said to be a linear function
Where "m" is the slope of line and "b" is the y - intercept
Let us first find the slope of line
Substituting values we get,
Thus slope of line is m = 3
To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b
3 = 3(2) + b
3 = 6 + b
b = 3 - 6
b = -3
Thus the required equation of linear function is:
Substitute m = 3 and b = -3 in formula
y = mx + b
y = 3x - 3
Thus the equation of linear function is found
Answer: 554
Step-by-step explanation:
Formula we use to find the sample size :
Given : Standard deviation : 
Margin of error : E=one quarter hour = 0.25 hour
Two-tailed , Critical value use for 0.95 degree of confidence:
i.e. 
Hence, the required sample size = 554
i.e. 554 executives should be surveyed.
Answer:
#1
#2
#4
Step-by-step explanation:
even numbers are 3
3/6=1/2
1/2=1/2
1 or 5=2 numbers
2/6=1/3
1/3=1/3
numbers < 3 are 1 and 2
2 numbers
2/6=1/3
1/3 does not =1/2
2 or odd numbers are 2,1,3,5
4/6=2/3
2/3=2/3
Step-by-step explanation:
a probability is always desired cases over total possible cases.
the bag has 4 + 7 + 8 + 6 = 25.
so, when we pick a random M&M we have total 25 possible outcomes.
the desired cases are to pick a green or a blue M&M.
that means these are 7+8 = 15 cases.
the probability to pick one or of the desired cases is
15/25 = 3/5 = 0.6
Answer:
The area would be 32
Step-by-step explanation:
Let's call the side lengths a and b, so then therefore a + b = 12
after this, we know that the length of a is 4, from the distance formula, and so the length of b is 8, so the area is 4*8 which is 32
