The correct answer is a. 3125
That's because the letter can be used more than once, so if you start and try everything from aaaaa, to ttttt, the possibilities are huge and much larger than any of the lower numbers.
Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
Answer:
The height of the equilateral triangle is 24 units
Step-by-step explanation:
In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:
Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.
To find the height of the triangle, we use Pythagoras theorem
MP^2 + PO^2 = MO^2
Let MP^2 be x
x^2 + {(16√3)/2}^2 = (16√3)^2
X^2 + (256*3)/4 = 256*3
4x^2 + 768 = 768* 4
4x^2 + 768 = 3072
4x^2 = 3072-768
4x^2 = 2304
X^2 = 2304/4
X^2 = 576
x= √576
x = 24 units
Answer:
Describe in detail how you would create a number line with the following points: 3, 2.25, the opposite of 4, and – (–1fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
Step-by-step explanation:
Answer: 2.28%
Step-by-step explanation:
μ = 71.8
σ = 3.4
X < 65
P(X < 65) = P (Z < 65 - 71.8/3.4) = P (Z < -2)
According to the table for the normal distribution attached, it will give us
P (z < Z < 0), this way, to find the P(Z < z), we need to do 0.5 - P:
0.5 - P(-2 < Z < 0) = 0.5 - 0.4772 = 0.0228
In percentage: 0.0228*100 = 2.28%
