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12345 [234]
3 years ago
5

D

Mathematics
1 answer:
Anestetic [448]3 years ago
7 0

Answer:

D. 1

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I </u>

  • Function Notation

<u>Pre-Calculus </u>

  • Unit Circle

<u>Calculus </u>

  • Derivatives
  • Derivative Notation
  • Derivative of tan(x) = sec²(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\frac{d}{dx} [tan(x)]\\x = \pi<u />

<u />

<u>Step 2: Differentiate</u>

  1. Differentiate:                    \frac{d}{dx} [tan(x)] = sec^2(x)

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em>:                    sec^2(\pi)
  2. Evaluate:                              1
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Answer:

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Step-by-step explanation:

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3 years ago
Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
Doss [256]

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

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Thus;

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let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

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Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

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a = 70 + 1.405(5.81)

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