Answer:
because this is a right triangle, we have''
Step-by-step explanatio
Answer:
a) To determine the minimum sample size we need to use the formula shown in the picture 1.
E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.
E = 0.5/2 = 0.25
Now we apply the formula
n = (1.645*0.80/0.25)^2 = 27.7 = 28
The minimum sample size would be 28.
b) To answer the question we are going to make a 90% confidence interval. The formula is:
(μ - E, μ + E)
μ is the mean which is 127. The formula for E is shown in the picture.
E = 0.80*1.645/√8 = 0.47
(126.5, 127.5)
This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.
Answer:
6.93 cm
Step-by-step explanation:
You have a right triangle (90°), so you do as follow:
If I understand correctly, you are looking for the hypotenuse so
That is equal to 
In algebra a term is a single number or letter so in this 5
x^2
-10xy
3y
y^2
-1
these are all the terms
The best answer (and only correct answer) among the answer choices given is:
________________________________________________
[C]: y⁻¹ = (x+6) / 3 .
_________________________________________________
Explanation:
__________________________________________________
Given the original function: y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ;
Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function:
____ </span>_________________________________________________
x = 3y − 6 ; we want to write in slope-intercept form;
__________________________________________________
Add "6" to each side of the equation:
__________________________________
x + 6 = 3y − 6 + 6 ;
__________________________________
x + 6 = 3y ;
________________________
↔ Rewrite as: 3y = x + 6 ;
________________________________________
Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
3y / 3 = (x + 6) / 3 ;
______________________________
to get:
______________________________
y = (x + 6) / 3 ;
_________________________________
y = (x/3) + (6/3) ;
____________________________________
y = (x/3 ) + 2 ;
___________________________________
or; write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ;
_________________________________
y⁻¹ = (x/3) + (6/3) ;
____________________________________
y⁻¹ = (x/3 ) + 2 ;
___________________________________
or; write as: y⁻¹ = (1/3)x + 2
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
____________________________________________________
