Answer:
The p-value for two-tailed test is 0.136
Step-by-step explanation:
Given;
one-tail test, p-value = 0.068,
In one-tailed test, we test for the possibility of a relationship in one direction and completely disregard the possibility of a relationship in the other direction.
One-tail test provides possibility of an outcome in one direction, while
two-tail test provides possibility of an outcome in two different directions.
Thus, the p-value for two-tailed test = 2 x 0.068 = 0.136
Isolate the x. Subtract 4x from both sides, and add 2 to both sides
2x (-4x) - 2 (+2) > 4x (-4x) + 6 (+2)
2x - 4x > 6 + 2
Simplify. Combine like terms
-2x > 8
Isolate the x. Divide -2 from both sides. Note that you are <em>dividing a negative number</em>. When doing so, flip the sign.
-2x/-2 > 8/-2
x > 8/-2
x < -4
x < -4, or (1) is your answer
hope this helps
Answer:
D
11 - x <_ 18
11 - 7 <_ 18
4 <_ 18 (4 is less than or equal to 18)
Answer:
I think the answer is 11. 18
It may help to draw a picture as you start planning this problem and draw a circle, showing a circle which represents the scale needle's range of motion 360 degrees around. The needle length will then be the radius of that circle.
We know that the needle rotated 68 degrees and are trying to find the distance it traveled in cm. To find out how far the needle traveled, we need to find the arc length - in this case, the distance between the needle's starting point and where it ended up after the oranges were placed on the scale on the circle.
There is a formula you can easily use to find the arc length
arc length = 2*

*r (

)
We need to input the radius, r into this formula, as well as the central angle measure c, which in this case is 68 degrees.
2

(16) (

)
If you multiply the above formula components all together using a calculator, you will get ~18.99. (When rounded to the second decimal place.)
So, the answer is around 19 cm. (Your answer may vary depending on how your teacher usually wants you to round answers.)