Dividing by a fraction is the same as multiplying by the reciprocal. so dividing by 1/2 is the same as multiplying by 2/1, or 2. so (3/4)/(1/2) = (3/4)*2 = 6/4 = 1 and 1/2
Answer:
119/100 = 357/X
Step-by-step explanation:
since 357 is the price with the extra 19% tax, you can put 119 and 357 as numerators in a fraction because thats the price % of total cost with the tax, then have the denominators as the normal price without tax. so 119/100 bc 119 is the total cost % with tax, and 100 as the normal cost %. same for the opposite side, 357/X. 357 being the price with the tax and X being the price without the tax. so you just cross multiply to find X. so 100 × 357 (35,700) then divide the answer of that by 119 (35,700/119) to find X (300)
Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
Answer:
ur mom = gay
Step-by-step explanation:
Answer:
9,750 and 0.0000084
Step-by-step explanation:
9.75 × 10^3= 9,750 (move decimal 3 places to the right because exponent is positive)
8.4 × 10^-6 = 0.0000084 (move decimal 6 places to the left because exponent is negative)
