If a couple plans to have 7 children, what is the probability that there will be at least one girl? Assume boys and girls are
1 answer:
<h2>Answer with explanation:</h2>
Given : The number of children a family plans to have = 7
If the boys and girls are equally likely, then the probability of getting a girl = probability of getting boy =
Now, the probability that there will be at least one girl will be:-
P(atleast one girl) = 1- P(all boys)
Hence, the probability that there will be at least one girl = 0.9921875
Since ,0.9921875 > 0.5
It means the event is likely to happen. [∵Any event E is likely to happen if P(E)>0.5]
Therefore, the probability is high enough for the couple to be very confident that they will get at least one girl in 7 children.
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Answer:
The productivity is measured in cubic meters per kilogram.
Step-by-step explanation:
For the formula for the productivity of the camel
where is the area of the hump and is measured in square meters,
is the distance the camel can travel (measure in meters), and
is the mass of the camel (measured in kilograms
).
Then, the productivity of the camel is measure in
cubic meters per kilogram.
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9