One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:
(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)
(y - 6)/x = -3/-4 = 3/4
4(y - 6) = 3x
4y - 24 = 3x
3x - 4y = -24
The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:
(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)
(y + 3)/x = (0 + 3)/1
y + 3 = 3x
3x - y = 3
Therefore, the system of equations representing the graph is:
3x - 4y = -24
3x - y = 3
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<u>40 is shown 3 times, 41 is shown 3 times, 42 is shown 3 times, and 43 is shown 3 times. </u>
I would put as the answer that <u>all the numbers are equally shown the same amount of times. </u>
Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
Answer:
c. The interquartile range offers a measure of income inequality among California residents.
Step-by-step explanation:
The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.
