The larger one should be 29*1016. Round 1016 down to 1000.
You get 29000 when you do that.
6 * 1020 is roundable to 6*1000 which is 6000
If you round 29000 to 30000 then 29*1016 should be 5 times larger than 6 * 1020
Check it out.
29 * 1016 = 29464
6 * 1020 = 6120
When you divide the smaller into the larger, you get 4.18 which is in the same ball park as 5.
Estimating is a skill you need when you are shopping and when you are writing tests. If you need to know if 4.18 is a good answer when a rounded answer is 5, you know you've done the work properly.
Rounding should permit you to get an answer in your head.
<h3>
Answer: 17/24</h3>
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Explanation:
We have these four cases or possible outcomes
- Case 1) We select 0 black marbles and 3 red marbles.
- Case 2) We select 1 black marble and 2 red marbles.
- Case 3) We select 2 black marbles and 1 red marble.
- Case 4) We select 3 black marbles and 0 red marbles.
Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
Answer:
Option (3)
Step-by-step explanation:
There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.
Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.
Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.
Since, alternate interior angles are equal in measure,
∠2 ≅ ∠6
∠3 ≅ ∠7
Option (3) will be the answer.
Answer:
6
Step-by-step explanation:
i am guessing because a pizza has 8slices just take away two and your left with 6
