Answer:
Step-by-step explanation:
For this case we have the following info given:
Weight before diet 180 125 240 150
Weight after diet 170 130 215 152
We define the random variable 
and we can calculate the inidividual values:
D: 10, -5, 25, -2
And we can calculate the mean with this formula:
And the deviation with:
And after replace we got:
And the confidence interval for this case would be given by:
The degrees of freedom are given by:
For the 95% of confidence the value for the significance is 
and the critical value would be 
. And replacing we got:
Circumference=2pir=<span>2∗3.14∗5.1</span><span>=30.028=30.03.</span>
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
Because she had the $12 dollars on their but she can only use it at a certain store
Notice that in the first table, every time we increase x by 1, y consistently decreases by 2. This characterizes a linear function.
