A plane can be determined by ___ points, that are not on the same line.

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

Step-by-step explanation:

3 points are not colinear will define a plane

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Fofino [41]

9514 1404 393

Answer:

1.1.1 sin(241°) = -√t

1.1.2 cos(61°) = √(1 -t)

Step-by-step explanation:

Given:

sin(61°) = √t

Find:

1.1.1 sin(241°)

1.1.2 cos(61°)

Solution:

1.1.1 sin(180° +x) = -sin(x)

sin(241°) = -sin(61°) = -√t

1.1.2 cos(x) = √(1-sin²(x))

cos(61°) = √(1 -(√t)²) = √(1 -t)

4 0

3 years ago

Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 an

vekshin1

The rigorous way to do this would be to compute a few integrals, but less work is usually better. Each of these probabilities correspond to the areas of rectangles. Each rectangle will have a height of 1, and the probability of interest will tell you everything you need to know about their lengths.

$\mathbb P(0\le X\le0.4)\implies \text{length}=0.4\implies\mathbb P(0\le X\le0.4)=0.4\times1=0.4$

$\mathbb P(0.4\le X\le1)\implies \text{length}=0.6\implies\mathbb P(0\le X\le0.4)=0.6$

Alternatively, you can use the fact that $\mathbb P(0.4\le X\le 1)=1-\mathbb P(0\le X\le 0.4)$ to get the same result.

$\mathbb P(X>0.6)=\mathbb P(0.60.6)=0.4$

$\mathbb P(X\le0.6)\implies \text{length}=0.6\implies\mathbb P(X\le0.6)=0.6$

$\mathbb P(0.23\le X\le0.76)\implies \text{length}=0.76-0.23=0.53\implies\mathbb P(0.23\le X\le0.76)=0.53$

3 0

3 years ago

What is an equation of the line that passes through the points (-2, -5) and (-1, 1)?

Dennis_Churaev [7]

Answer: y=6x+7

Step-by-step explanation:

To find the equation of the line, we want to find the slope with the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .