Mathematics: Adoctor has assigned the following chances to a medical procedure. 55% 24% 17% 4% full recovery condition improves no change condition worsens suppose the procedure is performed on 5 patients. assume that the procedure is independent for each patient. what is the probability that none of the patients will get worse

Adoctor has assigned the following chances to a medical

Ответ:

kiarajack456

03.06.2020

Mathematics

$81.54\%$

Step-by-step explanation:

Given: The probability of a patient will get worse = $4\%=0.04$

The probability of a patient will not get worse = 1-0.04=0.96

Since the procedure is independent for each patient then the probability of 5 such events is the product of the probabilities of all 5 events .

Now, the the probability that none of the patients will get worse is given by :-

$0.96\times0.96\times0.96\times0.96\times0.96=(0.96)^5=0.8153726976\approx81.54\%$

Hence, the the probability that none of the patients will get worse = $81.54\%$

0,0(0 оценок)

Ответ:

alexciamartinez05

14.02.2023

Mathematics

x = 16, y = 22.

Further explanation

We will solve the problem of linear programming. The case is simple, but we must still be accurate in doing so.

Given:

The cost for new-release movies on DVD for $20 and classic movies on DVD for $8. The librarian had a budget of $500 and wanted to purchase as many DVDs as possible.Let x represent the number of new releases and let y represent the number of classics.

Question:

Which values of x and y could represent the number of new-release and classic movies bought?

The Process:

Because the number of goods must be positive, then

$\boxed{ \ x \geq 0 \ }$ $\boxed{ \ y \geq 0 \ }$

The total number of DVDs purchased is 20x + 8y (in USD) and must not exceed $500. Thus, we have the inequality

$\boxed{ \ 20x + 8y \leq 500 \ }$

Let's examine one by one for each available option, whether it meets the inequality above.

Option A

$\boxed{ \ x = 8, y = 45 \ } \rightarrow \boxed{ \ 20(8) + 8(45) = 520 \ }$

This did not meet and was rejected.

Option B

$\boxed{ \ x = 10, y = 22 \ } \rightarrow \boxed{ \ 20(10) + 8(22) = 376 \ }$

It fulfills but then we will examine it again.

Option C

$\boxed{ \ x = 16, y = 22 \ } \rightarrow \boxed{ \ 20(16) + 8(22) = 496 \ }$

It fulfills but then we will examine it again.

Option D

$\boxed{ \ x = 18, y = 18 \ } \rightarrow \boxed{ \ 20(18) + 8(18) = 504 \ }$

This did not meet and was rejected.

Comparison of Option B and Option C

$\boxed{ \ x = 10, y = 22 \ } \rightarrow \boxed{ \ x + y = 10 + 22 = 32 \ DVDs \ }$ $\boxed{ \ x = 16, y = 22 \ } \rightarrow \boxed{ \ x + y = 16 + 22 = 38 \ DVDs \ },$ this means more DVDs.

The librarian wanted to purchase as many DVDs as possible. Thus, values of x and y could represent the number of new-release and classic movies bought is $\boxed{ \ x = 16, y = 22 \ }$ .

Learn moreWhich expression represents the amount of change Huang should receive? Anna has the most money Does Marcus pay tax?

Keywords: linear programming, the town librarian, a combination of new-release movies on DVD, classic, purchases, budget, as many DVDs as possible

The town librarian bought a combination of new-release movies on dvd for $20 and classic movies on d

0,0(0 оценок)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question