Average speed = total distance/ total time
210.6/1.3= 162
S=((294+3)*(294/3))/2=14553
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
Answer:
The expected value is $3.95
Step-by-step explanation:
Here, we want to get the expected value
Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up
We have this as;
0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)
= 0 + 1 + 1.2 + 1 + 0.75 = 3.95
Answer: Yes
Step-by-step explanation:
I am not sure if this is correct, but a kilogram is a very small unit of measure. I would assume that it is greater since 1000kg is equal to 1g. The oranges would have to weigh almost nothing for it to be less than $6.
