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2 years ago

5

Find the critical value zα2/ that corresponds to a 91% confidence level. Question 13 options: a) 1.7 b) 1.95 c) 1.81 d) 2.33 e)

2.57

1 answer:

anyanavicka [17]2 years ago

6 0

Answer:

D

Step-by-step explanation:

2.33 I think

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Us the figure to solve ill mark brainliest

Mashutka [201]

Answer:

QN = 43

Step-by-step explanation:

3x-5 = 2x+8+3

3x-5 = 2x+11

x-5 = 11

x = 16

MP = 3x-5

MP = 3(16)-5

MP = 48-5

MP = 43

MP and QN are ≅ so QN = 43

7 0

3 years ago

The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars on advertising is

sattari [20]

Answer:

The company should spend $40 to yield a maximum profit.

The point of diminishing returns is (40, 3600).

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Coordinate Planes

Coordinates (x, y) → (s, P)

Functions

Function Notation

Terms/Coefficients

Factoring/Expanding

Quadratics

<u>Algebra II</u>

Coordinate Planes

Maximums/Minimums

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

1st Derivative Test - tells us where on the function f(x) does it have a relative maximum or minimum

Critical Numbers

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle P = \frac{-1}{10}s^3 + 6s^2 + 400$

<u>Step 2: Differentiate</u>

[Function] Derivative Property [Addition/Subtraction]: $\displaystyle P' = \frac{dP}{ds} \bigg[ \frac{-1}{10}s^3 \bigg] + \frac{dP}{ds} [ 6s^2 ] + \frac{dP}{ds} [ 400 ]$
[Derivative] Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle P' = \frac{-1}{10} \frac{dP}{ds} \bigg[ s^3 \bigg] + 6 \frac{dP}{ds} [ s^2 ] + \frac{dP}{ds} [ 400 ]$
[Derivative] Basic Power Rule: $\displaystyle P' = \frac{-1}{10}(3s^2) + 6(2s)$
[Derivative] Simplify: $\displaystyle P' = -\frac{3s^2}{10} + 12s$

<u>Step 3: 1st Derivative Test</u>

[Derivative] Set up: $\displaystyle 0 = -\frac{3s^2}{10} + 12s$
[Derivative] Factor: $\displaystyle 0 = \frac{-3s(s - 40)}{10}$
[Multiplication Property of Equality] Isolate <em>s </em>terms: $\displaystyle 0 = -3s(s - 40)$
[Solve] Find quadratic roots: $\displaystyle s = 0, 40$

∴ <em>s</em> = 0, 40 are our critical numbers.

<u>Step 4: Find Profit</u>

[Function] Substitute in <em>s</em> = 0: $\displaystyle P(0) = \frac{-1}{10}(0)^3 + 6(0)^2 + 400$
[Order of Operations] Evaluate: $\displaystyle P(0) = 400$
[Function] Substitute in <em>s</em> = 40: $\displaystyle P(40) = \frac{-1}{10}(40)^3 + 6(40)^2 + 400$
[Order of Operations] Evaluate: $\displaystyle P(40) = 3600$

We see that we will have a bigger profit when we spend <em>s</em> = $40.

∴ The maximum profit is $3600.

∴ The point of diminishing returns is ($40, $3600).

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation (Applications)

5 0

2 years ago

Which speed is the fastest?

Anon25 [30]

Fastest: 32/3 yards in 15 minutes

18 ft/20 min = .9 ft/min
90 ft/2.5 hrs = 90 ft/150 min = .6 ft/min
20 yd/1.5 hr = 60 ft/90 min = .667 ft/min
32/3 yd/15 min = 32 ft/15 min = 2.133 ft/min

5 0

3 years ago

Given the points (4, 5) and (-2, 8), find the slope of the line that passes through the points.

HACTEHA [7]

Answer: c

Step-by-step explanation:

Formula of slope of line :

m=y2-y1/x2-x1

m=8-5/-2-4

=-3/6

m=-1/2

7 0

3 years ago

I need help finding x I’m

AysviL [449]

X = 18 because the two values are equal to each other

3 0

3 years ago

Read 2 more answers