Answer:

Step-by-step explanation:
<u>Approach 1 (trickier)</u>

<u>Approach 2 (easier)</u>

I believe it’s the first one. sorry if i’m
wrong :)
Answer:
Confidence interval
And the margin of error would be:

Step-by-step explanation:
For this case we have the followig dataset:
DATA: 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5
We can calculate the mean and the deviation with the following formulas:


And replacing we got:
![\bar X= 8.98[/tex[tex]s = 1.29](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%208.98%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Ds%20%3D%201.29)
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.95 or 95%, the value of significance is
and
, and the critical value would be
Repplacing the info we got:
And the margin of error would be:

The first and the third ones is true
Answer:
V₂=28cm³
Step-by-step explanation:
<u>Way 1</u>
The volume of a cone is
, and h₁ = 30 cm but the base (Ba₁) is 14 cm², so
, where Ba= Base area
if h₂=7cm and Ba₂=12cm² then

<u>Way2</u>
If the volume of a cone varies jointly as the height of the cone and the area of the base, then we must find the relationship between the bases and heights of the cones
Ba₁*h₁ = 30cm*14cm² = 420cm³
Ba²*h²= 7cm*12cm² = 84cm³
420/84 = 5; ratio = 5 also
V₂=V₁/5 ⇒ V₂=140cm³/5 = 28cm³