Answer:

Step-by-step explanation:
Notice that
.
The diagram already marks
, so we just need to find
.
and
are vertical angles, which means they are equal in measure.
Therefore,

Since there are
on each side of a line, we have the following equation:
.
Plugging in
, we have:
.
Therefore,
.
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:


Answer:
y=x+100 for members and y=5x for visitors
Step-by-step explanation:
for the tables put 100 in 0 for the members and 0 for the visitors in 0 and follow the equation to fill the rest :)
It's the third one.
The second one is a parabola so that is not the answer. Hope I helped :)
The centre is the median of the data, so the middle number. IT can also be the mean which is the average.
The spread tells you about the rang of the data.
The shape describes the different types of graphs you get if you graph the data so it could be symmetric or skewed etc. The different shapes tell you different things. For example, a skewed graph might tell you people prefer a certain option.