<span>The key step is to rewrite the exponential notations so that the exponent is the same. Then you can deal with the addition just as you would adding two decimals. The best way is to rewrite the number with the smaller exponent.
6.30 x 10^11 = 0.0630 x 10^13
Now you are adding 6.28 x 10^13 and 0.0630 x 10^13, and your answer is (6.28 + 0.0630) x 10^13. You can do the addition in the parentheses using the usual rules for sig dig when you add decimals. If necessary, afterward, you can rewrite the exponent again so that the mantissa is between 1 and 10.</span>
Answer:
∠2 = 152
Step-by-step explanation:
A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.
That means that 180-28, will give us our other angle.
Answer:
x = 162 cards need to be dealt with
Step-by-step explanation:
Given:
- Estimation of likelyhood of next card to be queen, a king, or an ace:
( 64 - 0.2*x ) / ( 208 - x )
Find:
For what values of x is this likelihood greater than 70%?
Solution:
- Use the likely-hood estimation relation and set up the inequality as follows:
( 64 - 0.2*x ) / ( 208 - x ) > 0.7
( 64 - 0.2*x ) > 0.7*( 208 - x )
64 - 0.2*x > 145.6 - 0.7*x
0.5*x > 81.6
x > 163.2
- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
