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2 years ago

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A cab driver charges a fixed rate of $3 plus an additional $1.50 for each mile driven. When representing this situation with a f

unction rule, which of the
following would be the independent variable?

1 answer:

Andreas93 [3]2 years ago

3 0

The independent variable would be the fixed rate of $3 because the amount for each mile driven changes based on how far they drive

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Is this answer correct

Kobotan [32]

Yes, that looks right.

6 0

3 years ago

What is the predicted difference in sleep between individuals A and B, where individual A has 12 years of education and works 20

kari74 [83]

Answer: The predicted difference in sleep is 1251437 minutes.

Step-by-step explanation:

Since we have given that

Number of years of education = 12 years

Number of minutes a week = 2000

As we have

In case of individual A:

7 days = 2000 minutes

1 year = 365 days = $\dfrac{2000}{7}\times 365=104285$

12 years = $104285\times 12=1251420\ minutes$

In case of individual B:

7 days = 3000 minutes

1 year = 365 days = $\dfrac{3000}{7}\times 365=156428$

16 years = $156428\times 16=2502857$ minutes

So, the predicted difference in sleep between individuals A and B is given by

$2502857-1251420\\\\=1251437\ minutes$

Hence, the predicted difference in sleep is 1251437 minutes.

7 0

3 years ago

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand

Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean $\mu_x$ = np = 52 × 0.3085 = 16.042

The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

$Pr ( Y > 20) = P(Z >1 .338)$

From z tables

P(Y > 20) $\simeq$ 0.0903

7 0

3 years ago

Can't figure out how to set up and check to see if right. 8/11(n-10)=64

strojnjashka [21]

Answer:

Step-by-step explanation:

$\frac{8}{11}(n-10)=64\\\\\frac{8(x-10)}{11}=64\\ 8(x-10) = 64(11)\\8(x-10) = 704\\8x-80 = 704\\8x= 704+80\\8x=784\\\\\frac{8x}{8}=\frac{784}{8} \\x=98$

7 0

3 years ago

A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−

rewona [7]

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

The vertex is halfway between focus and directrix. Directrix: x = -4

7 0

2 years ago

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