<em><u>Explanation</u></em><em> </em><em>:</em>
The line DF is parallel to OB, therefore Angle x = Angle y.
( because, they for corresponding angle pair which are equal. )
And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points
, then the equation of line is

The line passes through (-3,-6) and (2,-2). So, the equation of line is




Subtract 6 from both sides.




Therefore, the equation of line is
.
Answer:
The reasonable range for the population mean is (61%, 75%).
Step-by-step explanation:
The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.
The mean of the sampling distribution of sample proportion is,
.
One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

Given:
n = 150
= 0.68
The critical value of <em>z</em> for 95% confidence level is:

Compute the 95% confidence interval for proportion as follows:


Thus, the reasonable range for the population mean is (61%, 75%).
Answer:
-81
Step-by-step explanation:
-6(2x² + 5x) - 9
substitute -4 for 'x'
-6[2(-4)² + 5(-4)] - 9
-6[2(16) + (-20) - 9]
-6(32 - 20) - 9
-6(12) - 9
-72 - 9 = -81
A. yes this is a statistical question. it is a statistical question because you can answer the question by collecting data.
b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.
c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.
1+2+3+3+4+4+4+5+5+5+5+5+5=51
51 ÷ 15= 3.4