Answer:




Step-by-step explanation:
Given
close
fail to close


First, calculate the value of q
Using complement rule



So, we have:
and 
Solving (a): Fails to close on the 4th attempt
This means that he closes the first three attempts. The event is represented as: p p p q
So, we have:




Solving (b): He closes for the first time on the 3rd attempt
This means that he fails to close the first two attempts. The event is represented as: q q p
So, we have:




Solving (c): First he closes is his 2nd attempt
This means that he fails to close the first. The event is represented as: q p
So, we have:



Solving (d): The first he close is one of his 3 attempts
To do this, we make use of complement rule
The event that he does not close any of his first three attempts is: q q q
The probability is:


The opposite is that the first he closes is one of the first three
So, we have:
--- complement rule




Answer: Jack can fill his feeder 12 times with 4 pounds of birdseed.
Step-by-step explanation:
You need to analize the information given in the exercise, You know that every time Jack fills the feeder, he put
pounds into it.
Then, in order to solve this exercise, let "x" represents the number of times that Jack can fill his feeder with 4 pounds of birdseed.
Keeping on mind the data provided in the exercise, you can set up de following proportion:

Finally, you must solve for "x" in order to find its value.
You get that this is:

Therefore, you can conclude that Jack can fill his feeder 12 times with 4 pounds of birdseed.
Answer:

Step-by-step explanation:
Let the coordinate of the points W, V and R are
and
respectively.
The coordinate of the section point,
which divides the line joining the two points
and
in the ration
is
and
.
The given ration is, 

.
The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.
Answer:
158400 inches is 2 1/2 miles
Step-by-step explanation:
2.5* 5280 because 2.5 miles is 13200 feet.
13200*12 because 13200 feet is 158400 inches.
The answer would be 158400 inches.
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Isosollese triangle has 2 equal sides that are longer than legnth of base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3, wat is legnth of base
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 idneical sides
2(6.3)+b=15.7
12.6+b=15.7
subtract 12.6 from btohs ides
b=3.1
answer is base=3.1 cm