Answer:
Step-by-step explanation:
Given lines in parametric form
line ![L_1](https://tex.z-dn.net/?f=L_1)
![\frac{x}{3}=\frac{y-1}{-2} =\frac{z-2}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%3D%5Cfrac%7By-1%7D%7B-2%7D%20%3D%5Cfrac%7Bz-2%7D%7B-3%7D)
direction vector of
Line ![L_2](https://tex.z-dn.net/?f=L_2)
direction vector of
therefore
![v_2=-3v_1](https://tex.z-dn.net/?f=v_2%3D-3v_1)
thus lines are parallel.
(ii)distance between two lines is
is given by
=s
=3s
![\left | \frac{\begin{vmatrix}x_2-x_1 &y_2-y_1 &z_2-z_1 \\ a_1&b_1&c_1 \\ a_2&b_2&c_2\end{vmatrix}}{\sqrt{\left ( a_1b_2-a_2b_1 \right )^2+\left ( b_1c_2-b_2c_1 \right )^2+\left ( c_1a_2-c_2a_1 \right )^2}}\right |](https://tex.z-dn.net/?f=%5Cleft%20%7C%20%5Cfrac%7B%5Cbegin%7Bvmatrix%7Dx_2-x_1%20%26y_2-y_1%20%26z_2-z_1%20%5C%5C%20a_1%26b_1%26c_1%20%5C%5C%20a_2%26b_2%26c_2%5Cend%7Bvmatrix%7D%7D%7B%5Csqrt%7B%5Cleft%20%28%20a_1b_2-a_2b_1%20%5Cright%20%29%5E2%2B%5Cleft%20%28%20b_1c_2-b_2c_1%20%5Cright%20%29%5E2%2B%5Cleft%20%28%20c_1a_2-c_2a_1%20%5Cright%20%29%5E2%7D%7D%5Cright%20%7C)
where
=3
=-2
=-3
=-9
=6
=9
distance(d)=0 units since value of the matrix
![\begin{vmatrix}x_2-x_1 &y_2-y_1 &z_2-z_1\\ a_1&b_1&c_1 \\a_2&b_2 &c_2 \end{vmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bvmatrix%7Dx_2-x_1%20%26y_2-y_1%20%26z_2-z_1%5C%5C%20a_1%26b_1%26c_1%20%5C%5Ca_2%26b_2%20%26c_2%20%5Cend%7Bvmatrix%7D)
is zero
Answer:
a) No
b) No
c) P value is more than 0.05.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 12 ounces
Sample size, n = 49
P-value = 0.136
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Alpha, α = 0.05
Since, p-value > α,
The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.
b) Alpha, α = 0.10
Since, p-value > α,
The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.
c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.
Answer:
x=2/3
Step-by-step explanation:
Since this is a rhomb, AD divides angle CDE in 2 equal parts: CDA=EDA.
Or 9x+3=6x+5
3x=2, x=2/3
3.2 because I used my calculator which is all you need to do for this problem and I just answered the question on my quiz
The formula for the area of a triangle is
1/2 b•h
Let’s plug in our values !
1/2 (30•75)
1/2 • 2,250 = ?
2,250/2 = 1,125
The area of the triangle is 1,125 cm^2
I hope I helped !
Can you vote me brainliest, so I can level up? :)