Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
Answer:
d. can be equal to the value of the coefficient of determination (r2).
True on the special case when r =1 we have that 
Step-by-step explanation:
We need to remember that the correlation coefficient is a measure to analyze the goodness of fit for a model and is given by:
The determination coefficient is given by 
Let's analyze one by one the possible options:
a. can never be equal to the value of the coefficient of determination (r2).
False if r = 1 then 
b. is always larger than the value of the coefficient of determination (r2).
False not always if r= 1 we have that
and we don't satisfy the condition
c. is always smaller than the value of the coefficient of determination (r2).
False again if r =1 then we have
and we don't satisfy the condition
d. can be equal to the value of the coefficient of determination (r2).
True on the special case when r =1 we have that 
The value of the y intercept is y=9
3x +2y = 18
3(0) + 2y = 18 (0)
18/2=9
Answer:
0.0416
Step-by-step explanation:
Given :
Number of balls :
Pink = 8 ; black = 9
Total number of balls = 8+9 = 17
Choosing with replacement :
Probability = required outcome / Total possible outcomes
Required outcome = number of black balls
Total possible outcomes = total number of balls
P(black) = 9/17
Number of picks = 5
Hence, Probability that all 5 picks are black :
P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879
= 0.0416
Answer:
Step-by-step explanation:
The given solid is a square based pyramid. The formula for determining the volume of a square based pyramid is
Volume of pyramid = 1/3 × A×H
Where
A represents the area of the square.
H represents the height from the base to the apex of the pyramid.
Area of the square base is expressed as length × length
The length of the square base is 5 ft
Area of the square base is 5×5 = 25ft^2
Volume of the is 1/3 × 25× 7 = 58.33
Approximately 58.3 ft^3