Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
Thursday cause its the greatest extent
Answer:
Step-by-step explanation:
Notation and definitions
random sample taken
estimated proportion of adults in the sample reported that television was their preferred method
true population proportion of adults in the sample reported that television was their preferred method
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and . And the critical values would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And if we replace the values we got:
Answer:
- 1) y = (-2/3)x +2/3
- 2) y = (6/5)x -23/5
- 5) y = (-1/6)x +4/3
- 6) y = x -2
Step-by-step explanation:
A simple, mechanical way to do these (perpendicular lines) is ...
- replace any constant with 0
- swap the x- and y-coefficients, negating one
- for point (h, k), replace x with (x-h) and y with (y-k)
- solve for y (to get slope-intercept form)
1) 3x -2y = 0 . . . . . step 1
... 2x +3y = 0 . . . . step 2
... 2(x -1) +3(y -0) = 0 . . . . step 3
... 2x -2 = -3y . . . . eliminate parentheses, subtract 3y
... y = (-2/3)x +2/3 . . . . divide by the coefficient of y
2) 6(x -3) -5(y +1) = 0 . . . . after step 3
... 6x -23 = 5y . . . . . . . . . . simplify, add 5y
... y = (6/5)x - 23/5 . . . . . divide by the coefficient of y
5) (x+4) +6(y-2) = 0 . . . . . after step 3
... x -8 = -6y . . . . . . . . . . . simplify, subtract 6y
... y = (-1/6)x +4/3 . . . . . . divide by the coefficient of y
6) (y +5) = (x +3) . . . . . . . after step 3
... y = x -2 . . . . . . . . . . . . subtract 5
Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem