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garri49 [273]
3 years ago
6

Suppose you have a mean standardized score of 1100 points with a standard deviation of 100 points. This data is normally distrib

uted. What is the z-score of 900 points?
Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0
Using the formula <span>Z = (X - μ) / σ, X being 900, </span>μ being 1100, and <span> σ being 100, we can get the Z-score of -2.</span>
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x = 7 1/4 - 13 3/4
x = 29/4 - 55/4
x = 26/4
x = 6 2/4
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7 0
3 years ago
Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)
Juliette [100K]

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)
  2. Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7
  3. Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7
  4. Combine like terms (Z):          (f - g)(x) = x² - 3x - 70
3 0
3 years ago
Given: ∆ABC ≅ ∆DEF<br> Find: AB and m∠F
Sindrei [870]

AB = 14

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Well the explanation here is simple.

Since the given states that the two triangles, ΔABC and ΔDEF, are congruent, they must have congruent/corresponding parts.

So AB is the same as DE which measures 14, so therefore AB must measure 14.

The same explanation goes to m∠F, ∠C is congruent to ∠F so it must measure 39° too.

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2 years ago
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Assoli18 [71]
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Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
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