If about 20% of British children are deficient in vitamin and doctors test a group of elementary school children, the probability that the first vitamin d-deficient child is the 8th one tested is 4.19% determined using geometric distribution formula.
In probability and statistics, geometric distribution refers to the probability that first success would occurs after n number of trials and is given by:
P(X)=q^(x-1)p
Where p is the probability of success and q is (1-p)
In this case,
p=probability of children deficient in vitamin= 0.2
q= probability of children not deficient in vitamin= 0.8
Hence,
P(8)=0.8^(8-1)*0.2= 0.0419
Hence, the probability that 8th child is deficient is 4.19%
Learn more about geometric distribution:
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Lets call s the number of scented candles sold, and u the number of unscented candles sold and write as an equation the info provided in the problem:
16s + 10u = 400
s + u = 28
that is, the first equation synthesize the fact that the amount of unscented candles times its quantity plus the amount of scented candles times its quantity equals $400
and the second equation synthesize the fact that the number of scented and unscented candles add up to 28
Now you just need to solve the system of two linear equations with two unknowns to get the specific value of the scented and unscented candles.
<h3>
Answer: -2/3</h3>
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Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (8-6)/(2-5)
m = (2)/(-3)
m = -2/3
As you can see, we subtract the y coordinates together. We also subtract the x values together in the same order. If the order is mixed up, then you'll get the wrong sign for the final answer.
The slope is equal to rise over run. Think of "rise" as "change in y", which explains the difference in y values. The run is equal to the change in x, which is the difference in x values.
Answer:
12x+20
Step-by-step explanation:
2(5x+2)+2(x+8)
or (simplified)
10x+4+2x+16=12x+20
<span>2[4x-5(2x-1)]
=</span><span>2[4x- 10x + 5]
= 2(-6x + 5)
= -12x + 10</span>
