9. An inequality is shown

Mathematics

2 answers:

LenKa [72]3 years ago

7 0

The answer is c 19
38/2=19
Step-by-step explanation

melamori03 [73]3 years ago

4 0

The answer is d. 18 and e. 12.

Explanation:

2x - 5 < 33

2x < 33 + 5

2x < 38

x < 38/2

x < 19

x must be smaller than 19.

It can’t be 19 because it didn’t say smaller than or equal to.

So the answer is 18 and 12.

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This problem can be solved applying the geometric distribution.

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$P(k)=(1-p)^{k-1}p=0.9^{k-1}\cdot 0.1$

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Answer: 10 weeks

b) The probability of finding an acceptable department in the first 2 weeks is:

$P(k\leq2)=P(1)+P(2)=0.1*0.9^0+0.1*0.9^1\\\\P(k\leq 2)=0.1+0.09=0.19$

c) We have to calculate P(k>17)

$P(k>17)=1-\sum_1^{17}P(k_i)\\\\P(k>17)=1-(P(1)+P(2)+P(3)+...+P(17))\\\\P(k>17)=1-(0.1+0.09+0.081+0.073+0.066+0.059+0.053+0.048+0.043+0.039+0.035+0.031+0.028+0.025+0.023+0.021+0.019)\\\\P(k>17)=1-0.833=0.167$