We know that both lines will be equivalent, so to solve for x we can equate the two expressions
5x = 2x + 63
We will first subtract 2x from both sides
3x = 63
We will then divide both sides by 3
x = 21

7 0

3 years ago

Given that x is a hypergeometric random variable with Nequals10, nequals4, and requals6, complete parts a through d. a. Compu

sergey [27]

Answer:

a. 0.114

b. 0.005

c. 0.381

d. 0.00

Step-by-step explanation:

If x follows a hypergeometric distribution, the probability that x is equal to k is calculated as:

$P(x=k)=\frac{(rCk)*((N-r)C(n-k))}{NCn}$

Where k≤r and n-k≤N-r, Additionally:

$aCb=\frac{a!}{b!(a-b)!}$

So, replacing N by 10, n by 4 and r by 6, we get:

$P(x=k)=\frac{6Ck*((10-6)C(4-k))}{10C4}=\frac{6Ck*(4C(4-k))}{10C4}$

Then, the probability that x is equal to 1, P(x=1) is:

$P(x=1)=\frac{6C1*4C3}{10C4}=0.114$

The probability that x is equal to 0, P(x=0) is:

$P(x=0)=\frac{6C0*4C4}{10C4}=0.005$

The probability that x is equal to 3, P(x=3) is:

$P(x=3)=\frac{6C3*4C1}{10C4}=0.381$

Finally, in this case, x can take values from 0 to 4, so the probability that x is greater or equals to 5 is zero.

6 0

3 years ago

Andy promises opie that he will give him 5000 upon his graduation from college at mayberry u. How much must andy invest today to

san4es73 [151]

Answer: Andy should invest RS. 2784.19 for 12 years .

Step-by-step explanation:

Since we have given that

Amount = Rs. 5000

Time = 12 years

Rate of interest = 5%

So, We need to find the sum:

Using "Compound interest" , we get :

$A=P(1+r)^t\\\\5000=P(1+0.05)^{12}\\\\5000=P(1.05)^{12}\\\\\dfrac{5000}{1.05^{12}}=P\\\\2784.19=P$

Hence, Andy should invest RS. 2784.19 for 12 years .

6 0

3 years ago

Apple juice has a pH of 2.9 and water has a pH of 7. Which substance has a higher concentration of hydro noun ions and how much

lara [203]

D
If your pH is lower, it has more Hydronium ions
As a rule, for every decrease in pH, there is 10 times more H3O+ so since it is 4.1 there should be a bit more than 10^4. So it has to be D

3 0

3 years ago