The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)
(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)
=>
a) a 3 x 1 column =
| 3 |
| -4 |
| 6 |
b) xi + yj + zk
=> 3i - 4j + 6k
Answer: y + 1 = 2(x-6)
Step-by-step explanation:
Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)
Hope this was helpful! Please feel free to ask me any questions!
Answer:
a) P(X≥143)=0
b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Step-by-step explanation:
If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):
Then, we can calculate the probability of X being equal or more than 143 using the z-score:
This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
<span>6.3
Looking at the triangle, you can see that point D bisects line segment AB and that point E bisects line segment BC. In fact, you can easily determine that triangles ABC and DBE are similar triangles with DBE having sides that are half the length of the respective sides in ABC. And since line segment DE corresponds to line segment AC which is 12.6 units long, line segment DE is 12.6/2 = 6.3 units long.</span>
