The function is constant when the line is horizontal. The values are from 0 to 3.
Answer:
a) 0.705
b) 0.976
c) 0.01
d) 0.09
Step-by-step explanation:
We have to find the area under the standard normal curve.
a) area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.
b) area under the standard normal curve to the left of z=1.98
c) area under the standard normal curve to the right of z= 2.34
d) area under the standard normal curve that lies between z= −0.94 and z= −0.63
Answer:
These two values show the range of maximum and the minimum possible approximation of the amount of atoms in the universe.
10000 of the small universe will fit into the big universe.
Step-by-step explanation:
These values are a representative of the possible number of atoms in the universe. They both give a range of possible numbers, within which the number of atoms in the universe can be assigned a a particular value. The range is used to indicate that the value cannot be be exactly determined to be a particular exact number.
The two numbers given are
10^82, and 10^78
If the the larger number of 10^82 is correct, we'll have
10^82 ÷ 10^78
==> 10^(82 -78) = 10000 of the small universe will fit into the larger universe.
Answer:
The greatest common factor of this would be 3x^2y
Step-by-step explanation:
In order to find this, first find the greatest common factor of the coefficients. Since 3 goes in evenly to both 15 and -18, then we know that it is a common factor.
From there we need to find the number of x's. Since the first term only has 2 x's and the second has 3, we take the lowest number. (x^2)
And since the first term has 3 y's and the second has just 1, we take the lowest number (y).
Answer:
264 sq. in.
Step-by-step explanation:
The easiest way to find the lateral surface area is to multiply the perimeter of the base times the height.
In your case the perimeter of the base is 2(8) + 2(3) = 16 + 6 = 22
The height is 12, so multiply 12 times 22 = 264 sq. in.
