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Vilka [71]
3 years ago
12

A flight academy had a graduation rate of 85.1 for 27-year old candidates from 2000-2009. Since then, new instructors have been

hired that have specifically worked on providing clearer instruction to pilot candidates. From 2010-2018, the graduation rate for 27-year old candidates is 88.3. What percentile did the organization start at from 2000-2009, and what percentile is the organization now (2010-2018)
Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer:

The value of percentile at start is 3.01 while that of now is 55.17.

Step-by-step explanation:

For the year the 2009 the value is given as 88.1 with a standard deviation of 1.6

Now for the value of 85.1 as of 2000-2009 the z score is given as

z=\frac{x-\mu}{\sigma}\\z=\frac{85.1-88.1}{1.6}\\z=-1.88

For this value of z, the P(z<x) is given as 0.0301. The corresponding percentile is 3.01.

Now for the value of 88.3 for 2010-2018, the z value is

z=\frac{x-\mu}{\sigma}\\z=\frac{88.3-88.1}{1.6}\\z=0.13

For this value of z, the P(z<x) is given as 0.5517 The corresponding percentile is 55.17.

The population between these two percentiles is given as 55.17-3.01 which given the value as 52.16.

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Attached as photo. Please help
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By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a)     (1)

The steps of Euler's method are summarized below:

  1. Define the function seen in the statement by the label f(x₀, y₀).
  2. Determine the different variables by the following formulas:

    xₙ₊₁ = xₙ + (n + 1) · Δx     (2)
    yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ)     (3)
  3. Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

#SPJ1

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2 years ago
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Answer:

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interval notion: ( -∞,-1] U [2,∞)

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B)point form: (1,7)(7,1)

equation form: x=1,y=7 and x=7,y=1

Step-by-step explanation:

#1: solve for x by simplifying both sides of the inequality, then isolating the variable.

#2: N/A

#3: solve for the first variable in one of the equations, then substitute the results into the other question.

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