Answer:
A. 0.0001
Step-by-step explanation:
z-statistic:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
The value of the z-statistic is z = 3.74.
The desired probability is 1 subtracted by the pvalue of z = 3.74.
z = 3.74 has a pvalue of 0.9999
Then
1 - 0.9999 = 0.0001.
So the correct answer is given by option A.
Answer:
Square and rectangle
The other polygon isn't necessarily have right angle
Answer: x=63, y=52, z=48
Step-by-step explanation:
The complete question in english is:
The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers
According to this we have a system with three equations and three unknown values:
(1)
(2)
(3)
Let's begin by isolating 
from (1):
(4)
And substitute (4) in (2):
(5)
Isolating 
:
(6) We have found the first number
Substituting (6) in (1):
(7)
Adding (7) to (3):
We have the following:
Isolating 
:
(8) This is the second number
Substituting (6) and (8) in (1):
(9)
Isolating :
(10) This is the third number
Answer:
The inverse is (x^2-5)/2
Step-by-step explanation:
y =sqrt(2x+5)
Exchange x and y
x = sqrt(2y+5)
Solve for y
Square each side
x^2 = (sqrt(2y+5))^2
x^2 = 2y+5
Subtract 5 from each side
x^2 -5 = 2y-5+5
x^2 -5 = 2y
Divide each side by 2
(x^2-5)/2 = 2y/2
(x^2-5)/2 = y
The inverse is (x^2-5)/2
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
