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sertanlavr [38]

3 years ago

8

A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. Explain why the events picking a b

lue sock and then another blue sock are dependent. Then find the probability.

1 answer:

sertanlavr [38]3 years ago

8 0

Answer:

because he just wants his socks to wear

Step-by-step explanation:

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Is 10/40 7/21 13/26 or 3/18 equivalent to 5/15

Kisachek [45]

Answer:

7/21 is equivalent to 5/15

Step-by-step explanation:

6 0

3 years ago

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-r

Keith_Richards [23]

Answer:

Part (A) The probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder is 0.286

Part (B) The probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder is 0.163.

Step-by-step explanation:

Consider the provided information.

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-related disorder, and 4% are diagnosed with both disorders.

P(M) = P(Mental disorder) = 24.5% = 0.245

P(A) =P(Alcohol-related disorder) = 14% = 0.14

P(M and A) =P(Both disorder) = 4% = 0.04

Part (A) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{P(M\ and\ A)}{P(A)}$

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{0.04}{0.14}=0.286$

Hence, the required probability is 0.286.

Part (b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder.

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{P(M\ and\ A)}{P(M)}$

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{0.04}{0.245}=0.163$

Hence, the required probability is 0.163.

8 0

3 years ago

A mechanic’s pay for working 5 in 1 half hours is $96.47. Which calculation can be used to determine the mechanic’s hourly wage,

BARSIC [14]

Answer:

96.47/ 5.5 = hourly wage

3 0

3 years ago

Read 2 more answers

Y’all. I need you to help me

Sergio039 [100]

Answer:

10

Step-by-step explanation:

PQ/QR = ST/TR

17.5/QR = 7/4

QR = (17.5 x 4)/7

QR = 70/7

QR = 10

3 0

3 years ago

The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?

Rufina [12.5K]

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)*d)$

Here,

n = number of terms = 100

a₁ = first term = 1

d = Common Difference = 2

Using the values, we get:

$S_{100}=\frac{100}{2}(2(1)+99*2)\\ \\ S_{100}=10000$

Thus, the sum of first 100 positive odd whole numbers is 10,000.

4 0

4 years ago