Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
Answer:
I) 8.760 * 10 ³ hours
II) 8.76582 * 10 ³ hours
Step-by-step explanation:
1) No. of hours in one year:
24 hours* 365 days= 8760 hours
Scientific Notation= 8.760 * 10 ³ hours
2) 1 year = 31556952 seconds
1 hour=3600
1 year = 31556952 seconds/3600 = 8765. 82 hours
Scientific Notation= 8.76582 * 10 ³ hours
3) The exact numbers of hours using 365 days is 8760 which is written as 8.760* 10 ³ in scientific notation. But using the given data we get =8.76582 * 10 ³ hours
Comparing these answers the first one has only 3 significant figures
But the second answer has six significant figures if we round these we get 8.8 * 10 ³ hours which has two significant numbers
Aslo rounding the first gives 8.8 * 10 ³ hours which has two significant numbers and is the same as the other answer rounded
Answer:
5256 orbits
Step-by-step explanation:
There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this
8760 x 0.6
This gives us an answer of 5256 which is the number of orbits per year
<h3>
Answer: Independent</h3>
For two events A and B, if the occurrence of either event in no way affects the probability of the occurrence of the other event, then the two events are considered to be <u> independent </u> events.
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Explanation:
Consider the idea of flipping a coin and rolling a dice. If these actions are separate (i.e. they don't bump into each other), then one object won't affect the other. Hence, one probability won't change the other. We consider these events to be independent.
In contrast, let's say we're pulling out cards from a deck. If we don't put the first card back, then the future probabilities of other cards will change. This is considered dependent.