Answer:
300 cm³
Step-by-step explanation:
Volume of the glass filled with orange juice:
4/5-2/3= 12/15-10/15= 2/15
2/15 of glass = 40 cm³
Total volume of the glass:
40 cm³ ÷ 2/15= 40 cm³ × 15/2= 300 cm³
Answer:
0.0244 (2.44%)
Step-by-step explanation:
defining the event T= the chips passes the tests , then
P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82
for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then
P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)
where
P(D∩T)=probability that the chip is defective and passes the test
P(D/T)=probability that the chip is defective given that it passes the test
Answer:
Quotient: 121
Remainder: 23
Step-by-step explanation:
So first see how many times 29 goes into 3532.
121
Next do 29 * 121 = 3509
Subtract that from 3532 = 23
You have to know that the graph of the arctangent function is a flat S-shaped curve that goes through (0, 0) and has asymptotes at ±π/2. The factor of 2 that multiplies it here expands it vertically so the asymptotes are at ±π. The +3 added to the x causes it to be shifted to the left by 3 units.
Answer:
2*26=52
Step-by-step explanation: you can just use a calculator to find 2*26 and you will find that the answer to your question is 52.