Determine the variables

The sum of an integer and 6 is twice as big as the number itself. What is the integer?Help!!!!!!!Ill put brainliest

Pavel [41]

Answer:

6+6 is the answer!!!!!!!

8 0

3 years ago

In a shipment of 20 packages, 7 packages are damaged. The packages are randomly inspected, one at a time, without replacement, u

horsena [70]

Answer:

$\large\boxed{\large\boxed{0.119}}$

Explanation:

You need to find the probability that exactly three of the first 11 inspected packages are damaged and the fourth is damaged too.

1. Start with the first 11 inspected packages:

a) The number of combinations in which 11 packages can be taken from the 20 available packages is given by the combinatory formula:

$C(m,n)=\dfrac{m!}{m!(m-n)!}$

$C(20,11)=\dfrac{20!}{11!\cdot(20-11)!}$

b) The number of combinations in which 3 damaged packages can be chossen from 7 damaged packages is:

$C(7,3)=\dfrac{7!}{3!\cdot(7-3)!}$

c) The number of cominations in which 8 good packages can be choosen from 13 good pacakes is:

$C(13,8)=\dfrac{13!}{8!\cdot(13-8)!}$

d) The number of cominations in which 3 damaged packages and 8 good packages are chosen in the first 11 selections is:

$C(7,3)\times C(13,8)$

e) The probability is the number of favorable outcomes divided by the number of possible outcomes, then that is:

$\dfrac{C(7,3)\times C(13,8)}{C(20,11)}$

Subsituting:

$\dfrac{\dfrac{7!}{3!\cdot(7-3)!}\times \dfrac{13!}{8!\cdot(13-8)!}}{\dfrac{20!}{11!\cdot(20-11)!}}$

$=\dfrac{\dfrac{7!}{3!\cdot 4!}\times \dfrac{13!}{8!\cdot 5!}}{\dfrac{20!}{11!\cdot 9!}}=0.26818885$

2. The 12th package

The probability 12th package is damaged too is 7 - 3 = 4, out of 20 - 11 = 9:

3. Finally

The probability that exactly 12 packages are inspected to find exactly 4 damaged packages is the product of the two calculated probabilities:

$0.26818885\times 4/9=0.119$

6 0

4 years ago

Sublineaza in exeplele date atributele exprimate prin substantive cu o linie si atributele exprimate prin adjectiv cu doua linii

Artyom0805 [142]

Si no habla esmanyol

8 0

3 years ago

19/3÷3 reduce to lowest terms

Digiron [165]

19/9 because 19/3 times 1/3 is 19/9

7 0

4 years ago

Read 2 more answers

You go to the electronics store to buy 3 CDs. Each CD's original cost is $9.99. You have a coupon for 10% off and the sales tax

Afina-wow [57]

Answer:

$28.77

Step-by-step explanation:

What you do is the coupon for 10% off first which equaled 2.997, but you have to round to $3.00.

You minus 3*9.99 which equals $29.97 and $3.00 to get $26.97.

You then times $29.97 by 6% to get 1.80.

You then add it to $26.97.

You get $28.77.

6 0

3 years ago