A fair six-sided die is rolled 54 times. Theoretically, how many times should a roll of "5" occur?
2 answers:
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Answer:
Step-by-step explanation:
The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:
The equation is written in slope-intercept form:
m is the slope and b is the y-intercept, so the y-intercept is -18.
Now set the value of y to 0 to find the intercept of x:
Solve for x. Add 18 to both sides:
Divide both sides by 8:
The x -intercept is .
:Done
Answer:
Step-by-step explanation:
2 cos x + √ 2 = 0
2 cos x = -√ 2
cos x = -√ 2 / 2
x = arcCos( -√ 2 / 2 )
so to solve we have to use "co-terminal " angles .. do you know what I'm saying? do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P
x = arcCos( √ 2 / 2 )
x = 45 °
now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the -√ 2 is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW ( counter clock wise ) direction but it's also -45° in the CW (clock wise ) direction
below is the table to remember the trig special angles
notice how it's 1,2,3,4 .. so it's super easy to remember.. the trig books don't show you this "trick" :P
copy and paste this to your computer some where handy
Sin(0) = 0/2 =0
Sin(30)= /2 = 1/2
Sing(45) =/2 =
/2
Sin(60)=/2 =
/2
Sin(90)=/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 = 0
Cos(60) = /2 = 1/2
Cos(45) = /2 =
/2
Cos(30) = /2 =
/2
Cos(0) = /2 = 1
<em>Answer</em>
a. Vertical shrink by a factor of 1/3
<em>Step-by-step explanation</em>
Function transformation
• a,f(x) vertically compresses f(x) when 0 < a < 1
Given the function:
Multiplying f(x) by a = 1/3, we get:
Then, f(x) is vertically shrunk by a factor of 1/3