Answer:
x=-2, y=5. (-2, 5).
Step-by-step explanation:
15x-4y=-50
3x-2y=-16
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15x-4y=-50
-5(3x-2y)=-5(-16)
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15x-4y=-50
-15x+10y=80
-------------------
6y=30
y=30/6
y=5
3x-2(5)=-16
3x-10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2
Answer:
a) The probability that a hobbit picked at random is no more than 36.7 in tall is P= 0.56631.
b) The probability that a random sample of 16 hobbits have a mean height of no more than 36.7 in tall is P=0.74857.
c) The probability that a random sample of 100 hobbits have a mean height of no more than 36.7 in tall is P=0.95254.
Step-by-step explanation:
We have this parameters for the population: normally distributed with mean 36 in. and standard deviation 4.2 in.
a) The probability can be computed calculating z and looking up in a table.
The probability that a hobbit picked at random is no more than 36.7 in tall is P= 0.56631.
b) In this case, the sample standard deviation change to
.
We can calculate z with the sample standard deviation
The probability that a random sample of 16 hobbits have a mean height of no more than 36.7 in tall is P=0.74857.
c) We apply the same principle as in pont b.
We can calculate z with the sample standard deviation
The probability that a random sample of 100 hobbits have a mean height of no more than 36.7 in tall is P=0.95254.
I would say A) a spotlight cause ussually spotlights are at the end/edge of a road.
Fractions can be simplified by making sure that the numerator and the denominator cannot be divided by any number.
The given 12/60 is very obvious that it is divisible by 2.
After dividing by 2, you will get 6/30.
It seems it is not in simplest form. It is divisible by 3.
Dividing the numerator and denominator by 3 then you will get
2/15.
So the lowest term is 2/15.
If 3x+2+5x-3 then the answer is 8x-1
if 3x-2+5x-3 then the answer is 8x-5