Answer:
Recede
Step-by-step explanation:
Famished means extremely hungry
Recede means go or move back or further away from a previous position
Answer: 32
Explanation:
The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.
Tossing a coin 5 times leads to these results:
First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.
Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32
Those 32 leaves is this sample space:
head-head-head-head-head
head-head-head-head-tail
head-head-head-tail-head
head-head-head-tail-tail
head-head-tail-head-head
head-head-tail-head-tail
head-head-tail-tail-head
head-head-tail-tail-tail
head-tail-head-head-head
head-tail-head-head-tail
head-tail-head-tail-head
head-tail-head-tail-tail
.......... (continue)
And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.
Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
__
To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.
We just need to count the number of outcomes that have exactly one even number. The total number of outcomes is 36. We see that from the first row, the number of outcomes that qualify are 3: 1-2, 1-4, 1-6 (out of the 6 total outcomes). For the 2nd row, again there are 3: 2-1, 2-3, 2-5. It is obvious by now that for any row, whether the number is even or odd, there are 3 outcomes on that row that correspond to rolling exactly one even number. Hence, there are in total 6*3=18 favorable outcomes.
Answer:
What triangle. Ill fix my answer when I have it.
Step-by-step explanation:
