Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.

Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of
.
Upon substituting our given values in z-score formula, we will get:





Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
Answer:
<h2>
y = -⁵/₂x - 12
</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -⁵/₂
(-4, -2) ⇒ x₀ = -4, y₀ = -2
The point-slope form of the equation:
y + 2 = -⁵/₂(x + 4)
So:
y + 2 = -⁵/₂x - 10 {subtract 2 from both sides}
y = -⁵/₂x - 12 ← the slope-intercept form of the equation
Answer: From least to greatest: -2.4, -0.8, 0.2, 0.9, 1.6. Hope this helps you! :D
Hello :
all points <span>lies on a circle with a radius of 5 units and center at P(6, 1)are :
M(x,y) : (x-6)² + (y-1)² = 25</span>
Answer:
The price of price of the stock after it has been owned for 12 weeks is $92.55
Step-by-step explanation:
Given: The price of a particular stock is represented by the linear equation
y = -0.91x + 103.47
where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.
We have to find the price of price of the stock after it has been owned for 12 weeks.
Since , x represents the number of weeks the stock has been owned.
Thus, by substitute, x = 12
We get the value of y , the price of stocks.
Thus, y(x) = -0.91x + 103.47
⇒ y(12) = -0.91(12) + 103.47
⇒ y(12) = -10.92 + 103.47
Solving , we get,
⇒ y(12) = 92.55
Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.