Answer:
<em>(-3, -129)</em>
<em></em>
Step-by-step explanation:
Given
Two lines:
are perpendicular to each other and intersect at point (-8,3).
To find: (P, Q)
Solution:
The two lines intersect at (-8,3).
It means, the equation of line will be satisfied when we put value of x = -8 and y = 3
Putting in the second equation, we will get an equation in P and Q:
Given that two lines are perpendicular.
It means the product of their slopes will be equal to -1.
i.e. 
Slope of a line of the form 
is given as:
So, slopes of given lines are:
Using the condition:
Putting the value of P in equation (1):
So, answer is <em>(-3, -129)</em>
A coin has one of two outcomes: heads or tails.
Each has an equal probability of occurring, meaning that they each have a 50% chance to occur. (They need to add up to 100% because they include all the outcomes, divide that into two equal parts and...)
This is what we call theoretical probability. It's a guess as to how probability <em>should</em> work. Like in the experiment, it's not always going to be 50-50.
What <em>actually happens</em> is called experimental probability. This may vary slightly from theoretical probability because you can't predict probability with complete certainty, you can only say what is <em>most likely to happen</em>.
We want to find the probability of getting heads in our experiment so we can compare it to the theoretical outcome. To do this, we need to compare the number of heads to the total number of outcomes.
We have 63 heads, and a total of 150 coin flips.
That makes the probability of getting a heads 63/150.
The hard part is getting this ratio into a percent.
You can try simply dividing, but you should be able to notice something here.
SInce the top and the bottom of our fraction are both divisible by 3, we can <em>simiplify</em>.
63 ÷ 3 = 21
150 ÷ 3 = 50
So we could say that 63/150 = 21/50.
A percent is basically a fraction out of 100.
Just like you can divide the parts of a ratio by the same number and it will stay the same, you can also multiply. To get the fraction out of 100, let's multiply by 2.
(since 50 × 2 = 100)
21 × 2 = 42
50 × 2 = 100
21/50 = 42/100 = 42%
Comparing our experimental probability to the theoretical one...it is 8% lower.
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar. Hope this helps!! :)
Answer:
1770
Step-by-step explanation:
multiply the mass value by 1000
that is the easy way
