Since 17 isnt a factor of 42 the only factor is 1
The answer is; 24/75 of the entire cake remained
If 2/5 of the initial cake was eaten, the 3/5 is what remained
MInu ate 1/3 of the 3/5 = 3/15
3/5 – 3/15 = 6/15 remained
Her brother ate; 1/5 of 6/15 = 6/75
6/15 – 6/75 = 24/75 remained
The prime factorization of 90 is 2*3^2*5
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.
Answer:
11) to know the 20% of 70$ we need to 70÷100×20 = 14 now the sale price will ne 70-14$ = 56$
12) same 20% of 92= 92÷100×20= 18.4 $ so now original price= 92+18.4 = 110.4
13) same 40% of 30$ = 30÷100×40 = 12$ now selling price = 30-12$= 18$
