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3 years ago

Given the following statistics for women over the age of 50 entering our medical clinic:

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

Answer:

P(breast cancer) = 0.01

P(no breast cancer ) = 1-0.01 = 0.99

P(positive | breast cancer)= 0.90

P(positive | no breast cancer ) = 0.08

P(breast cancer | positive ) = $\frac{P(\text{breast cancer}) \times P(\frac{positive}{\text{cancer}})}{P(\text{breast cancer}) \times P(\frac{positive}{\text{cancer}}) + P(\text{ no breast cancer}) \times P(\frac{positive}{\text{no cancer}})}$

Substitute the values :

P(breast cancer | positive ) = $\frac{0.10 \times 0.90}{0.10 \times 0.90+0.99 \times 0.08}$

P(breast cancer | positive ) = $0.531$

Hence the actual probability, if a woman gets a positive test result, that she actually does have breast cancer is 0.531

You might be interested in

Use the distributive property to simplify the following expression -2(x+3)

lukranit [14]

Answer:

-2x - 6

Step-by-step explanation:

-2(x + 3)

-2 · x = -2x

-2 · 3 = -6

-2x - 6

5 0

3 years ago

Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of

bekas [8.4K]

Answer:

The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

The price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Step-by-step explanation:

From the question, we have:

x = −2000p + 4000 ..................... (1)

Where;

x = number of cookies sold

p = price of a cookie, p, and the

Revenue function (R) can therefore be obtained as follows:

R = px ……………………….. (2)

If we substitute equation (1) into (2), we will have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Differentiating equation (3) with respect to p and set it equal to zero, we have:

−4000p + 4000 = 0

Solving for p, we have:

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into equation (3), we have:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

6 0

3 years ago

Please help me complete the blanks!!

DaniilM [7]

Step-by-step explanation:

If half of the tuna sandwiches were on white bread then 21 of them would be white, meaning the other half would be on brown bread.

Then if 25% of ham sandwiches were on brown bread then 25% of 32 would be 8, so the final 75% would be on white bread, which would be 24.

Finally, with 20 more white bread sandwiches sold than brown bread it couldn’t be 80 and 20, it would be 40 brown bread in total and 60 white bread in total adding up to 100, as it says white sells 20 more than brown not only 20.

To finish this question you would add up the tuna and ham for white (21+24=45) then minus that from 60 (60-45=15) so there were 15 cheese sandwiches on white bread. And then for brown (21+8=29) then minus that from 40 (40-29=11) so therefore there are 11 cheese sandwiches on brown bread.

Answer:

Brown:

Tuna-21

Cheese-11

Ham-8

Total-40

White:

Tuna-21

Cheese-15

Ham-24

Total-60

Hope that helps!

7 0

4 years ago

Pam and her sister have a pattern of saving money. Pam saved 40 dollars and her brother saved 100 dollars.

Keith_Richards [23]

Answer:

true

Step-by-step explanation:

Pam saved 40

her bro saves 100

let us take this as ration 40 is to 100 which can also be written in fractional for like 40/100 now we simplify it how by dividing both by 20 so (40/20)/(100/20) which will give 2/5 which can be written as 2 is to 5 so this is true

8 0

3 years ago

Read 2 more answers

I need help simplifying both of these. thank you!

4vir4ik [10]

<h3>Answer:</h3>

-100x +100; 3
5x +81; 162

<h3>Step-by-step explanation:</h3>

The distributive property is your friend. It tells you ...

a(b + c) = ab + ac

It can also be used to simplify the product of binomials (or other polynomials).

(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2

(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering

1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)

= -100x +100 . . . . . . simplified form

For the purposes of calculation, it can be easier to factor out 100:

= 100 (1 -x)

Then for x = 0.97

= 100(1 -0.97) = 100(0.03) = 3

___

2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81

For x = 16.2, this is ...

5(16.2) +81 = 81 +81 = 162

_____

The purpose of the attachment is to show the evaluation is correct.

5 0

3 years ago