Answer:
10x² - 12
Step-by-step explanation:
4x² - 7 + 6x² - 5 (combine like terms)
10x² - 12
Problem 1
Answer: Independent
The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.
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Problem 2
Answer: Dependent
Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).
Answer:
1/2
Step-by-step explanation:
(1/8+3/12)×(11/6-1/2)
Using bodmas
Deal with the bracket first and it should start with the addition
1/8+3/12
Lcm of the two is 96
12+24/96
=36/96
Then move to the next bracket
11/6-1/2
Lcm is 6
11-3/6
=8/6
Bring the two answers together
36/96×8/6
=1/2
Answer:x=−3
x=−2
Step-by-step explanation:
Given:
Lateral Area = π * r * (√h² + r²)
Lateral Area = 100 in² ; height = 5 in
I find it hard to derive the formula of r because of the radical sign. So, I'll just plug each radius to the formula to check confirm the given lateral area.
a) r = 1.52138 ⇒ LA = 24.98
b) r = 4.658 ⇒ LA = 100
c) r = 78 ⇒ LA = 19152.68
d) r = 6.7432 ⇒ LA = 177.84
The radius is B.) r = 4.658 inches
