Answer:
d.10
Step-by-step explanation:
Sample size is large enough if both n*p and n*(1 – p) are greater than or equal to 10.
Answer:
Nine more than the number of cars would be c+9
Answer:
sin Ф = 3/√13; cos Ф = 2/√13; and tan Ф = 3/2
Step-by-step explanation:
Let's assume we're limiting ourselves to Quadrant I.
Start with the tangent function. tan Ф = opp / adj.
In this case opp = 3 and adj = 2.
The length of the hypotenuse is found using the Pythagorean Theorem and is √(3² + 2²) = √13.
Then sin Ф = opp / hyp = 3/√13 or 3√13/13
and
cos Ф = adj / hyp = 2/√13 or 2√13/13
and (as before)
tan Ф = opp / adj = 3/2
Answer:
11. y = -2x - 4.
12. y = x - 5
Step-by-step explanation:
11. the given points on the line are ((-2, 0) and (0, -4)
The slope of the line
= difference in y values / corresponding difference in x values
= ( - 4 - 0) / 0 - (-2))
= -4 / 2
= -2.
The general form of a straight line is y = mx + c where m = the slope and c = y value of the intercept on the y-axis.
So the equation is:
y = -2x - 4.
12.
The points are (1, -4) and (3, -2).
The slope is (-2 - (-4)) / (3 - 1)
= 2/2
= 1.
So the equation is
y = 1x + c
We find c by plugging in the point (1, -4):
-4 = 1 + c
c = -4 - 1
c = -5.
The equation is y = x - 5.
