Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for sine
sin2x = 2sinxcosx
Consider left side
cos20°cos40°cos80°
= (2sin20°cos20°)cos40°cos80°
= (2sin40°cos40°)cos80°
= (sin80°cos80° )
= (2sin80°cos80° )
= . sin160°
= . sin(180 - 20)°
= . sin20°
= = right side , thus proven
The probability of randomly getting first a red marble and then a blue marble is:
P = 0.083
<h3>
How to find the probability?</h3>
There are:
- 3 blue marbles
- 2 red marbles
- 4 yellow marbles.
For a total of 9 marbles.
The probability of getting a red marble is equal to the quotient between the number of red marbles and the total, so:
P(red) = 2/9
Then the probability of getting a blue marble is equal to the quotient between the number of blue marbles and the total, but because we already took one marble, now the total is 8.
P(blue) = 3/8
The joint probability is given by the product:
P = (2/9)*(3/8) = 0.083
If you want to learn more about probability:
brainly.com/question/25870256
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If the equation of the line y = 13x - 6 is changed to y = 325x - 6, the way that the graph changed is that; Line is closer to vertical
<h3>How to Interpret Slope Intercept form of linear equation?</h3>
The formula for slope intercept form of linear graphs is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope describes the steepness of a line. The slope of any line remains constant along the line. The slope can also tell you information about the direction of the line on the coordinate plane.
Now, we are told that the equation of the line changed from y = 13x - 6 to y = 325x - 6. This means that the slope has increased. Now, if the slope has increased it means that the y-values are increasing faster than the x-values and as such the line of the graph will become closer to the vertical.
Read more about Slope Intercept form at; brainly.com/question/1884491
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The second table represents a non linear function because the x and y values when graphed do not line up along the line of best fit.