Mathematics, 25.03.2020 05:29 ladysloveme3p7a86r

A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite. The geologist instructs a laboratory assistant to randomly select 15 of the specimens for analysis. What is the probability that all specimens of one of the two types of rock are selected for analysis?

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Answer from: hernandez09297

The probability that all specimens of one of the two types of rock are selected for analysis is 0.0325

Step-by-step explanation:

Step 1

Given in the question that there are 10 specimens of basaltic rock and 10 specimens of granite.

The Total specimen sample collected =20

Step 2

The probability of selecting a basaltic rock is= 10 / 20 = 0.5

The probability of selecting a granite is= 10 / 20 = 0.5

So, the probability mass function of the number of basalt specimens selected for analysis is given by

$f(x)=\left \ (10\atop x) \right. (0.5)^{x} (0.5)^{10-x}$

Step 3

The probability that all specimens of one of the two types of rock are selected for analysis is given by the

sum of the probabilities that 10 basalt specimens and 5 igneous specimen is selected and the probabilities that 5 basalt specimens and 10 igneous specimen is selected.

The probability that 10 basalt specimens and 5 igneous specimen is selected is given by

$\left \ ( ^{10}_ {10} )\right \left \ ( ^{10} _{5}) \right/\left \ ( ^{20}_{15}) \right. =252/15504=0.01625$

The probability that 5 basalt specimens and 10 igneous specimen is selected is also given by

$\left \ ( ^{10}_ {10} )\right \left \ ( ^{10} _{5}) \right/\left \ ( ^{20}_{15}) \right. =252/15504=0.01625$

Therefore, the probability that all specimens of one of the two types of rock are selected for analysis is given by

Step 4

Multiplying 2 with the output

2(0.01625) = 0.0325

The probability that all specimens of one of the two types of rock are selected for analysis is 0.0325

Answer from: Quest

idc

step-by-step explanation:

idk

Answer from: Quest

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

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