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3 years ago

12

Drusilla replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months she just replaced

both items this month after how many months will she replace both the light bulb and the air filter? Select all that apply

1 answer:

Vlad1618 [11]3 years ago

6 0

Drusilla will replace both items in 18 months and 36 months.

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A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the

Ne4ueva [31]

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

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: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

$P(A) = 0.90*0.03 + 0.1*0.97 = 0.124$

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

$P(A \cap B) = 0.9*0.03 = 0.027$

What is the conditional probability that she does, in fact, have the disease

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177$

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

3 0

3 years ago

I really need help on this

kvasek [131]

Answer:

i think its c i could be wrong but just go with your gut felling

Step-by-step explanation:

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2 years ago

Tickets for a raffle cost $ 9. There were 788 tickets sold. One ticket will be randomly selected as the winner, and that person

Juliette [100K]

Answer:

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3 years ago

188 to 42 what is the percent change

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

so we are gonna have a percent decrease because it went from 188 to 42

decrease = (original number - new number) / (original number ) * 100

= (188 - 42) / (188) * 100

= (146 / 188) * 100

= 0.7766 * 100

= 77.66% decrease....not sure if u need ur answer rounded to the nearest percent or not....if so, its a 78% decrease

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3 years ago

5. Determine the length of side y to the nearest hundredth.

KonstantinChe [14]

Answer:

64.50 cm

Step-by-step explanation:

$\sin \: 51 \degree = \frac{y}{83} \\ \\ 0.7771459615 = \frac{y}{83} \\ \\ y = 0.7771459615 \times 83 \\ \\ y = 64.5031148 \\ \\ \huge \red{ \boxed{ y = 64.50 \: cm}}$

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3 years ago