Take the original price and times it by .8 (you could times it by .2 and then subtract from the original price but multiplying it by .8 is much easier) 64.9x.8= 51.92 take your discounted price and multiply it by 1.085 to account for the sales tax (you multiply by 1.085 to account for the price of the item and the tax you could times it by .085 and then add it on to the price of the item but this way it shortens the amount of steps needed) 51.92x1.085= 56.3332
Round to the nearest cent
Answer=$56.33
Answer:
.
Step-by-step explanation:
Given homogeneous equation
Substitute y=ux , 
Now,
Integrating both side we get
lnu=-2lnx+lnC
Where lnC= integration constant
Cancel ln on both side
Substitute
Then we get
xy=C
.
Answer:.
Answer:
5.381
Step-by-step explanation:
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
<u>Step 1: Make an equation</u>
An automobile factory, 1849 parts are made in 4 hours.
<em>1849 / 4 = x</em>
<em />
<u>Step 2: Solve</u>
1849 / 4 = x
<em>462.25 = x</em>
<em />
Answer: There are 462.25 parts being made per hour
To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
