Answer:
d.20.00
Step-by-step explanation:
Notation and previous concepts
A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"
represent the sample size
represent the confidence level
represent the sample variance obtained
represent the value that we want to test
Null and alternative hypothesis
On this case we want to check if the population variance is less than 66, so the system of hypothesis would be:
Null Hypothesis: 
Alternative hypothesis: 
Calculate the statistic
For this test we can use the following statistic:
And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.
Calculate the p value
In order to calculate the p value we need to have in count the degrees of freedom , on this case 23-1=22. And since is a left tailed test the p value would be given by:
The best option is:
d. 20.00
Answer:
True
Step-by-step explanation:
we know that
A non-negative number is a real number greater than or equal to zero
In this problem
we have
The solution of the inequality is all real numbers greater than or equal to zero [0,∞)
Therefore
express a non-negative number in symbols
No, it is not. Using the distributive property, multiply 2 to 3x and -5 to get 6x-10. 6x-8 does not equal 6x-10, they have the same coefficient by not the same constant.
Answer:
Area of given figure = 197.48 mi² (Approx.)
Step-by-step explanation:
Note;
Divide given figure into a semi-circle, rectangle, and square
Given:
Radius = 8 mi
Length of rectangle = 11 mi
Width of rectangle = 8 mi
Side of square = 3 mi
Find:
Area of given figure
Computation:
Area of given figure = Area of semi-circle + Area of rectangle + Area of square
Area of given figure = (π/2)(r²) + [L x B] + Side²
Area of given figure = (3.14/2)(8²) + [11 x 8] + 3²
Area of given figure = (1.57)(64) + [88] + 9
Area of given figure = 100.48 + [88] + 9
Area of given figure = 197.48 mi² (Approx.)
First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.
Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given
