Answer:
<u>x = 12</u>
Step-by-step explanation:
10 - 3 ( x + 7 ) = 26
<em>First Step: Distribute</em>
- 3 to ( x + 7 )
= 10 - 3 x - 21 = 26
<em>Second Step: Combine like terms</em>
10 - 21
= - 11 - 3 x = 26
<em>Third Step: Add from both sides</em>
26 + 11
= - 3 x = 37
<em>Fourth Step: Divide from both sides</em>
37 / - 3
<u>x = 12</u>
Answer:
Ecological correlation
Step-by-step explanation:
According to a different source, the options that come with this question are:
- Ecological correlation
- Extrapolation
- Lurking variable
- Influential observation
Sarah should be careful about the use of an ecological correlation. An ecological correlation describes two variables that are group means, as opposed to a correlation between two variables that describe individuals. In this case, Sarah did pick 75 random students in each state. However, she then obtained the height and weight means for each state, and proceeded to compare these. Therefore, Sarah is not comparing individual values, but means. It is important to notice this, because correlations at a group level can be much higher than those at the individual level.
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)