Finding the slope of both coordinates, you'll get 15/2. The slopes are the same
Answer:
8 1/4
Step-by-step explanation:
20 2/4
-
12 3/4
__________
8 1/4
Answer:
The correct option is;
Construct a circle from point R with the radius RP
Step-by-step explanation:
To draw a tangent, the following steps are required
1) A line is drawn connecting the point to the center of the circle to which the tangent is to be drawn
2) The perpendicular bisector of the line constructed to get the mid point of the line
3) From the midpoint of the line found in the step above the compass is adjusted to reach the center of the given circle and a circular arc is drawn across the circumference of the given circle
4) The point of intersection of the arcs and the circumference of the given circle are the tangent points
Therefore, the correct option is to construct a circle from point R with the radius RP.
Answer:
C. 67.5 to 72.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The width of the interval is determined by it's margin of error, which is given by the following formula:

So, as n increases, the margin of error decreases, and the interval gets smaller.
Using 10,000 bootstrap samples for the distribution:
We increase the sample size, which means that the interval gets smaller.
We had 67 to 73, since it got smaller, it will be from a value higher than 67 to a value lower than 73.
So the correct answer is:
C. 67.5 to 72.
Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:

Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:

Given that
and
, the amount of thermal energy that is generated is:


The amount of thermal energy that is generated is 1000 joules.