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Dima020 [189]
3 years ago
12

Can you help with this? Thank you!

Mathematics
2 answers:
Gnom [1K]3 years ago
5 0

To solve for j, cross multiply:

4 x 45 = 18 x j

180 = 18j

Divide both sides by 18:

j = 10

ExtremeBDS [4]3 years ago
3 0

j=10

if you dont need an explanation dont read this:

firstly you reduce the 4/18 by 2 (<em>basically simplifying</em>) , which then becomes 2/9..

then you cross the 2 by 45 and 9 to j (<em>you multiply 2x45 and 9xj=9j</em>)

so it equals to 90=9j

then you divide both sides by 9

j=10

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Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175

Positive when there is raritanium:

98% of 13%

P(A) = 0.98*0.13 = 0.1274

What is the probability the rock sample actually contains raritanium?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0
3 years ago
You have $60 and your sister has 120 you are saving $14 per week and your sister is saving $10 per week how long will it be befo
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Answer:

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3 years ago
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Answer:

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Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 16.000

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Sample standard deviation, s = 0.764

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Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{16.218 - 16.000}{\frac{0.764}{\sqrt{22}} } = 1.338

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