I believe 875 is the answer. That's too high of a score, highest score is like 850.
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>
Answer:
length of one leg of the triangle is 64 cm.
Step-by-step explanation:
Given : The hypotenuse of a 45°-45°-90° triangle measures 128 cm.
To find : What is the length of one leg of the triangle.
Solution : We have given that hypotenuse of a 45°-45°-90° triangle measures 128 cm.
By the 45°-45°-90° triangle rule ,
Perpendicular sides (legs) are equal .
Hypotenuse = √2 × either perpendicular side ( leg ).
128 = √2 × leg .
We can write 128 as 64 √2 and substitute in above
64√2 = √2 leg.
On dividing by √2 both sides and switching sides.
leg = 64 cm .
Therefore, length of one leg of the triangle is 64 cm.
I think it should be y=x.
Answer:
3.6
Step-by-step explanation:
After the decimal point to the right, the first number is the 'tenths' spot. That number is the one they're asking you to round. As we know, when rounding, the number is rounded up if it is 5 or more. Since the number in the 'hundreths' spot is above 5, the 'tenths' spot is rounded up, making 5 a 6.
So, the answer is 3.6