Answer:
Step-by-step explanation:
hope this helps!
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Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept - Parallel lines always have the same slope (<em>m</em>)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
<u />
<u />
The slope of the given line is
, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be
. Plug this into y=mx+b:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

Therefore, the y-intercept of the line is 22. Plug this back into
:

I hope this helps!
Answer:

Step-by-step explanation:
Recall the formula for the sine of the double angle:

we know that
, and that
is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what
is:

With this information, we can now complete the value of the sine of the double angle requested:

It would be 33.333333% Likely to be a boy or a girl.