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3 years ago

A number plus 5 more than 3 times the number is 37. Find the number

Mathematics

1 answer:

natima [27]3 years ago

3 0

5+3x=37

Step 1
subtract 5 from both sides
3x=32

Step 2
divide by three
x=10.6(repeating)

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Suppose there was a cancer diagnostic test was 95% accurate both on those that do and those do not have the disease. If 0.4% of

Musya8 [376]

Complete Question

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and 90% on those do not have the disease. If 0.4% of the population have cancer, compute the probability that a particular individual has cancer, given that the test indicates he or she has cancer.

Answer:

The probability is $P(C | A) = 0.0042$

Step-by-step explanation:

From the question we are told that

The probability that the test was accurate given that the person has cancer is

$P(A | C) = 0.95$

The probability that the test was accurate given that the person do not have cancer is

$P(A | C') = 0.90$

The probability that a person has cancer is

$P(C) = 0.004$

Generally the probability that a person do not have cancer is

$P(C') = 1- P(C)$

=> $P(C') = 1- 0.004$

=> $P(C') = 0.996$

Generally the probability that a particular individual has cancer, given that the test indicates he or she has cancer is according to Bayes's theorem evaluated as

$P(C | A) = \frac{P(A | C) * P(C)}{P(A|C) * P(C) + P(A| C') * P(C')}$

=> $P(C | A) = \frac{ 0.95 * 0.004 }{ 0.95 * 0.004 + 0.90 * 0.996}$

=> $P(C | A) = 0.0042$

7 0

3 years ago

7/8=?/48 A.42 B.13 C.1 D.6

Papessa [141]

The answer to the question is A.) 42

6 0

3 years ago

GIVING BRAINLIEST, PLEASE HELP ASAP!!!

Leviafan [203]

They are not
It goes from
0/0 1/3 2/5 3/6(or 1/2) which are not the same. This makes them not proportional to one another. (I think)

7 0

3 years ago

The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.

Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

Year 1

x (1 + 20%)
x (1.2)
1.2x

Year 2

1.2x (1 + 25%)
1.2x (1.25)
1.5x

Year 3

1.5x (1 + 30%)
1.5x (1.3)
1.95x

Year 4

1.95x (1 + 10%)
1.95x (1.1)
2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0

2 years ago

If f'(x)=2/x and f(sqrt(e))=5, then f(e)=

docker41 [41]

$f'(x)=\dfrac2x$
$\implies f(x)=\displaystyle\frac2x\,\mathrm dx=2\ln|x|+C$

$f(\sqrt e)=5\implies 5=2\ln|\sqrt e|+C$
$\implies 5=\dfrac22\ln e+C$
$\implies C=4$
$\implies f(x)=2\ln|x|+4$
$\implies f(e)=2\ln|e|+4=6$

3 0

3 years ago