Answer:
Step-by-step explanation:
Calculate the scale factor, using the ratio of corresponding sides, image to original.
Using the vertical line image = 4 and original = 6 , then
scale factor = =
What is the rate of change?
2 answers:
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Answer:
Both the boats will closet together at 2:21:36 pm.
Step-by-step explanation:
Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).
Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),
Formula : d=v*t
at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)
the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)
Formula : D=
⇒
Now let
∵
⇒ t= 450/1250
⇒ t= .36 hours
⇒ = 21 min 36 sec
Since F"(t)=0,
∴ This time gives us a minimum.
Thus, The two boats will closet together at 2:21:36 pm.
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
Next, we list out the sample space of F
In (1): the sample space of E is:
So:
In (2): the sample space of F is:
So:
For E and F to be independent:
Substitute values for P(E) and P(F)
This gives:
However, the actual value of P(E and F) is 0.
This is so because and
have 0 common elements:
So:
Compare and
.
These values are not equal.
Hence: the two events are not independent