Answer:
D) -3
Step-by-step explanation:
Slope of a linear function:
The slope of a linear function is the amount by which y changes when x increases by 1.
In this question:
When x = 1, y = 12
When x = 2, y = 9
When x = 3, y = 6
When x = 4, y = 3
So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.
When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).
The reciprocal of z^-3 would be 1 / z^3.
Hope this helps!! :)
'll use the binomial approach. We need to calculate the probabilities that 9, 10 or 11
<span>people have brown eyes. The probability that any one person has brown eyes is 0.8, </span>
<span>so the probability that they don't is 1 - 0.8 = 0.2. So the appropriate binomial terms are </span>
<span>(11 C 9)(0.8)^9*(0.2)^2 + (11 C 10)(0.8)^10*(0.2)^1 + (11 C 11)(0.8)^11*(0.2)^0 = </span>
<span>0.2953 + 0.2362 + 0.0859 = 0.6174, or about 61.7 %. Since this is over 50%, it </span>
<span>is more likely than not that 9 of 11 randomly chosen people have brown eyes, at </span>
<span>least in this region. </span>
<span>Note that (n C r) = n!/((n-r)!*r!). So (11 C 9) = 55, (11 C 10) = 11 and (11 C 0) = 1.</span>
Top is the passenger train
bottom is the freight
make sure you add 48+8=56
there are 56 trains that went to the station in a 12 hour period.
D is the midpoint of A and B
A = (0,s)
B = (r,0)
Add up the x coordinates to get 0+r = r. Then cut that in half to get r/2
Similarly, do the same for the y coordinates: s+0 = s ---> s/2
So the location of point D is (r/2, s/2)
Answer: Choice C
