Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
Read more on midpoint here: brainly.com/question/4078053
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Answer:
a. 60
b.24
Step-by-step explanation:
a. We use permutation, it would be 3 taken out of 5, or 5*4*3
b.if A or E must be used, then we have 4*3*2
This is a case of binomial distribution. The formula used in
calculations for binomial probability is:
P = nCr p^r
(1-p)^(n-r)
Where,
P = probability
nCr = combinations of
r from n possibilities
p = success rate = 40%
= 0.40
n = sample size = 10
<span>1st: Let us
calculate for nCr for r = 8 to 10. Formula is:</span>
nCr = n! / r! (n-r)!
10C8 = 10! / 8! 2! = 45
10C9 = 10! / 9! 1! = 10
10C10 = 10! / 10! 0! = 1
Calculating for probabilities when r = 8 to 10:
P (r=8) = 45 * 0.4^8 (0.6)^2 = 0.0106
P (r=9) = 10 * 0.4^9 (0.6)^1 = 0.0016
P (r=10) = 1 * 0.4^10 (0.6)^0 = 0.0001
Total probability that at least 8 were married = 0.0106 + 0.0016
+ 0.0001
Total probability
that at least 8 were married = 0.0123
<span> </span>
Answer:
a. -44
b. 32
Step-by-step explanation:
i need more characters so imma show work
((4-10+3(2-3))+2)6-2
((-9)+2)6-2
-42-2
-44
(9+3(2)) + ((6+2(-2))+7)
(9+6)+((10)+7)
15+17
32