Answer: 46 is your answer hope this helped
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134
This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent ' sin(2x) ' .
Here we go:
Original equation: Q² - 0.5 Q = 0
Factor the left side: Q (Q - 0.5) = 0
This equation is true if either factor is zero:
-- If Q=0, then sin(2x) = 0
2x = 0°, 180°, 360°
x = 0°, 90°, 180°
-- If (Q-0.5) = 0, then Q = 0.5
sin(2x) = 0.5
2x = 30°, 150°
x = 15°, 75°
The whole collection of solutions
between 0° and 360° :
x = 0°, 15°, 75°, 90°, 180° .
The answer is D.
The Graph is translated up 2 units due to the "+2".
Hope that helps.
Answer: See attached
Step-by-step explanation:
[1] Looking at the function, this will be a parabola.
[2] We know that the x-intercepts, where the line hits the x-axis, will be -1 and 2 because of the factored part given
-> (x + 1)(x - 2)
-> (x + 1) gives us -1 and (x - 2) gives us 2
[3] We will graph the given function.
-> See attached
-> <em>I kept the scale the same as the screenshot you gave (which is 5 to -5 for both the y-axis and the x-axis)</em>
