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3 years ago

Due tomorrow please help

Mathematics

1 answer:

NeX [460]3 years ago

7 0

For some of these, a calculator is helpul.

The sum is 294903.

_____
This is the sum of 15 terms of a geometric sequence with first term 9 and common ratio 2. That sum is given by the formula
$S_{n}=a\dfrac{r^{n}-1}{r-1}$
$S_{15}=9\dfrac{2^{15}-1}{2-1}=9\cdot(32768-1)=294903$

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Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

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: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

$P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444$

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

$P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333$

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172$

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

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3 years ago

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Viktor [21]

Answer: The mean is 9 cups, the median is 6 cups, and the total is 27.

Step-by-step explanation:

To calculate the mean, add up all values and divide by the amount of all the values: 3 + 6 + 18 = 27, 27/3 = 9. The median is the middle number, which is 6 in the set 3, 6, 18 (least to greatest). Finally the total is already 27. Hope this helps, please consider Brainliest (click on the crown).

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dmitriy555 [2]

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Step-by-step explanation:

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