Answer: 80
Step-by-step explanation:
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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<span>F(x)=2x-3
</span><span>F(-5)=2(-5)-3
</span><span>F(x)=-10-3
F(x)= -13
the value is -13</span>
Given:
The figure of two quadrilaterals.
In 
In 
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:


Similarly,




And,


Clearly,
.
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.
Answer:
$ 60
Step-by-step explanation:
p(x) = 7x + 25
f(1) = 2.1² + 3 = 5
p(f(1)) = p(5) = 7 . 5 + 25 = 35 + 25 = 60
so he get $ 60 for 5 hours work with tips