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2 years ago

Let f(x) = x2 – 4, x < 0. What is f-1?

Mathematics

1 answer:

Galina-37 [17]2 years ago

5 0

Answer:

-3

Step-by-step explanation:

f(x) = x2 – 4

replace x with -1

f(-1) = (-1)^2 – 4

= -3

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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o

Juliette [100K]

Answer:

95% Confidence interval: (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

$\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)$

(31.32%,47.04%) is the required 95% confidence interval.

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3 years ago

Elsa's magic wand can cast 53 spells. Her wand can cast 17fewer spells than her sister Anna's wand, which is a little bigger and

Mademuasel [1]

Answer:

Anna's wand can cast 70 spells

Step-by-step explanation:

Elsa's wand can cast 53 spells

her wand casts 17 fewer cells than her sister Anna's

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We write the question down in the form of an equation

$x - 17 = 53$

where $x$ is the amount of spells Anna's wand can cast.

we then proceed to solve by collecting like terms to different sides of the equation. We'll have

$x = 53 + 17$

which leaves us with

$x = 70$

This means that Anna's wand can cast 70 spells.

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3 years ago

describe how the location of the vertex of the angle determines the process of finding the angle measures associated with that a

LekaFEV [45]

Answer:

Step-by-step explanation:

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3 years ago

grandymaker [24]

Answer:

The Answer is is option B.

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3 years ago

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wlad13 [49]

Answer:

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Step-by-step explanation:

A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?

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Ans: (1.5)^18 * 350 = 517,262

4 0

4 years ago

Read 2 more answers