Answer:
a. -3
Step-by-step explanation:
-2 turns into 6 by multiplying it by -3.
the same from 6 to -18, from -18 to 54, ...
so, an/an+1 = -3
Answer:
1. 1 13/24
2. 5/12
Step-by-step explanation:
2/3 = 16/24
7/8 = 21/24
Add.
16/24 + 21/24 = 37/24
As a mixed number, this is 1 13/24.
3/4 = 9/12
1/3 = 4/12
Subtract.
9/12 - 4/12 = 5/12
Hope this helps!
Answer:
y= -2x+18
Step-by-step explanation:
1. The secant line is a line that passes through 2 points in the function.
2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.
3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.
4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.
5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!
Answer:
C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.398, when, in fact, the proportion is 0.398.
Step-by-step explanation:
A type I error occurs if you reject the null hypothesis when it is true.
Now the hypotheses are:

The proportion is 0.398

The proportion is less than 0.398
If in actual fact the proportion is 0.398, then the president must not reject the

.
This is a correct decision.
If in actual fact the proportion is 0.398, and the president rejects the

, then a type I error is committed.
The correct choice is C.