Answer:
✔️The measure of angle <CBA is equal to the measure of angle <DBE.
✔️The measure of angle CBD is equal to the measure of angle ABE.
✔️The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other at a certain point. The diagram given is a typical example. This, vertical opposite angles formed are said to be congruent, that is their measures are equal to each other.
The following statements are true of the given diagram:
✔️The measure of angle <CBA is equal to the measure of angle <DBE.
(<CBA and ,<DBE are vertically opposite angles)
✔️The measure of angle CBD is equal to the measure of angle ABE.
(They are both vertically opposite angles)
✔️The sum of the measures of angles CBD and CBA is 180 degrees.
(<CBA and <CBD are supplementary angles)
Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.
Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.
Any function f(d) to find excess of children more than adults can be written as follows :-
f(d) = c(d) - a(d).
⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)
⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9
⇒ f(d) = 0.1d² + d + 2
Two equivalent ratios for 30 to 6 can be 15 to 3 or 45 to 9
Answer: a. The correlation coefficient of the data is positive.
Step-by-step explanation:
Estimated slope of sample regression line = 
Here , confidence interval : (-0.181, 1.529)
Estimated slope of sample regression line = 
![=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1.348%7D%7B2%7D%5C%5C%5C%5C%3D0.674%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7B%20positive%7D%5D)
⇒Correlation coefficient(r) must be positive, So a. is true.
But, d. and e. are wrong(0.674 ≠ 0 or 1.348).
We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.
We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong
So, the correct option : a. The correlation coefficient of the data is positive.
Answer:
2
Step-by-step explanation:
7x4-3x8+2^2-6 : you have to do exponents 1st
7x4-3x8+4-6 : next you multiply 7x4 and -3×8
28-24+4-6 : you add -24+4
28-20-6 : you subtract 28-20
8-6 : you subtract 8-6
2 : thats your answer
sorry if I'm late
