Clara is building a triangular garden. sh wants the length of the longest side to be be three or more than twice as long as the
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<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span>
.
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>
.
</span>
<span>
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>
Answer:
The latest 2.5% of bills will be received in 20 more days after mail-out.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 31 days
Standard Deviation, σ = 6 days
We are given that the distribution of The number of days (X) is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.025
Calculation the value from standard normal z table, we have,
Hence, the latest 2.5% of bills will be received in 20 more days after mail-out.