A must be parallel to b.
Proof:
∠3 = <span>∠13 (given)
</span>∠15 = <span>∠13 (vertically opposite angles are equal)
Since </span>∠13 = ∠3 and ∠13 = ∠15, ∠15 = <span>∠3
Then, a must be parallel to b (transverse line d cuts parallel lines producing converse alternate angles that are equal (ie </span>∠15 = <span>∠3))
</span>
Once you graph the equation, you will notice that the lines are actually the exact same. If they’re the exact same your answer must be...
C. Infinitely Many
To answer this item, find first the z-score of the given data.
z-score = (x - m) / d
where x is data point, m is the mean and d is the standard deviation
Substituting the given values,
z-score = (188 - 176.7) / 9.9 = 1.14
This translates to a percentage of 87.29%.
Because we are asked of the percentage of those with height greater than this, that would be,
100 - 87.29% = 12.71%
Answer: 12.71%
<span>A correlation
coefficient is a measure of the strength of dependence and correlation of a set
of data. It shows how good is the fitted model to the data. It will have values
ranging from -1.0 - 1.0. Having a coefficient that is the lower or the upper
limit will tell you that the model best fit the data and a good correlation.
However, as it goes farther from the limits then the correlation is to be a bad
one.</span>
Answer:
Step-by-step explanation:
h = 5 ft
diameter = 2.4 ft
Radius is half of diameter
r = 2.4/2 = 1.2 ft
Now, find the volume of the tank
Volume = πr²h
= 3.14 * 1.2 *1.2 * 5
= 22.608 cubic ft
Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute
= 22.608 ÷ 2.3
= 9.8
= 10 minutes
