Answer:
Area of the triangle = 6x3/2=18/2=9cm²
now find semicircle then add
area of the semicircle= πr²/2=π6²/2=36π/2=18π
now add and you get
Area of the region = (18π+9)cm²
Step-by-step explanation:
Answer: 9pi
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable. The regression has five key assumptions:
1) Linear relationship
: We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.
2) Multivariate normality
: "The linear regression analysis requires all variables to be multivariate normal". And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.
3) No or little multicollinearity
: "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.
4) No auto-correlation
: The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.
5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"
So then the statement is TRUE.
9514 1404 393
Answer:
(c) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
Step-by-step explanation:
The pyramid with the same overall dimensions will obviously have a smaller volume. The ratio is 1/3.
__
The formula for the volume of a rectangular prism is ...
V = LWH
The formula for the volume of a rectangular pyramid is ...
V = (1/3)LWH
The pyramid has 1/3 the volume of the prism.
R - 10 = 18 - r
2r = 28
r = 14
