Answer:
(a, 0)
Step-by-step explanation:
As S is on the x-axis, its y-coordinate will be zero.
And since this is a right trapezoid, ∠QPS and ∠PSR are right angles, so S and R will have the same x-coordinate, which is a.
Therefore, the coordinate of Point S is (a, 0)
The number of times scientific books were sold compared to mystery books is 1000 times or one thousand times.
<h3>How many copies of each book were sold?</h3>
The numbers provided to represent the number of copies that were sold from each book are given in scientific notation. In this type of notation, the exponent represents the number of zeros. Based on this principle, the number of books sold from each type is:
- Science fiction book: 10^6 = 1.000,000 (one million copies)
- Mystery book: 10^3 = 1.000 (one thousand copies)
<h3>How many science fiction book copies were sold in comparison to mystery book copies?</h3>
To find out this, simply divide the number of science fiction book copies into the number of mystery book copies:
- 1,000,000 / 1,000 = 1,000 (one thousand)
Learn more about scientific notation in: brainly.com/question/18073768
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The probability of a normally distributed data with mean, μ and standard deviation, σ, exceeds a value, a, is given by
![P(x \ \textgreater \ a) = 1 - P(x \leq a) = 1 - P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)](https://tex.z-dn.net/?f=P%28x%20%5C%20%5Ctextgreater%20%5C%20%20a%29%20%3D%201%20-%20P%28x%20%5Cleq%20a%29%20%3D%201%20-%20P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%20%5Cfrac%7Ba-%5Cmu%7D%7B%5Csigma%7D%20%5Cright%29)
<span>Given that the
average yearly snowfall in chillyville is normally distributed with a
mean of 55 inches. If the snowfall in chillyville exceeds 60 inches in
15% of the years, thus we have:
![1 - P\left(z\ \textless \ \frac{60-55}{\sigma} \right)=0.15 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{5}{\sigma} \right)=1-0.15=0.85 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{5}{\sigma} \right)=P(z\ \textless \ 1.036) \\ \\ \Rightarrow \frac{5}{\sigma}=1.036 \\ \\ \Rightarrow\sigma= \frac{5}{1.036} =4.83](https://tex.z-dn.net/?f=1%20-%20P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%5Cfrac%7B60-55%7D%7B%5Csigma%7D%20%5Cright%29%3D0.15%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%5Cfrac%7B5%7D%7B%5Csigma%7D%20%5Cright%29%3D1-0.15%3D0.85%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20P%5Cleft%28z%5C%20%5Ctextless%20%5C%20%5Cfrac%7B5%7D%7B%5Csigma%7D%20%5Cright%29%3DP%28z%5C%20%5Ctextless%20%5C%201.036%29%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20%5Cfrac%7B5%7D%7B%5Csigma%7D%3D1.036%20%5C%5C%20%20%5C%5C%20%5CRightarrow%5Csigma%3D%20%5Cfrac%7B5%7D%7B1.036%7D%20%3D4.83)
Therefore, the standard deviation is approximately 5.
</span>
X-3 > -15
x-3 > -15
+3 +3
x > -12.
Treat the > like an = sign, so it would become an equation. Get rid of the 3 by doing the opposite operations. Whatever you do to one side, you do to the other (also add 3 to -15). Your answer is x > -12