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IrinaVladis [17]
3 years ago
14

A taxi driver's flat rate of $3 plus an additional $0.05 per mile car will only take taxi home if cost is under $10 under otherw

ise he will take the bus Carlos 15 miles from home explain how to write and solve an inequality determining if Carl will take the taxi for a bus
Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Step-by-step explanation:

we can model the expression for the inequality as

given the flat rate is $3

let the additional mile be x

hence

3+0.05x<10

step two:

let us proceed to solve for x

3+0.05x<10

0.05x<10-3

0.05x<7

divide both sides by 0.05

x<7/0.05

x<140    

let us plug in 15 into the expression and see if the cost is under $10

3+0.05(15)<10

3+0.75<10

3.75<10

from the analysis, carl will have to take the taxi since cost is less than $10 i.e $3.75

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The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve
Makovka662 [10]

Answer:

It is better for the warriors to use man-to-man defense.

Step-by-step explanation:

The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the  team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while  others primarily use a man-to-man defense. When the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a  man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

Since the Warriors started using their improved offensive strategies they have played two  games with the following results.

Against the McNeil Mavericks

Maverick defense: zone

Warrior points: 77

Against the Round Rock Dragons

Dragon defense: man-to-man

Warrior points: 71

What is the Z-score of these values?

We are given that when the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a  man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

We have to find the z-scores.

  • Finding the z-score for the zone defense;

Let X = <u><em>points score by warriors when they use zone defense</em></u>

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean score = 67 points

            \sigma = standard deviation = 8 points

It is stated that the Warriors scored 77 points when they used zone defense, so;

   z-score for 77 =  \frac{X-\mu}{\sigma}

                            =  \frac{77-67}{8}  = <u>1.25</u>

  • Finding the z-score for the zone defense;

Let X = <u><em>points score by warriors when they use man-to-man defense</em></u>

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean score = 62 points

            \sigma = standard deviation = 5 points

It is stated that the Warriors scored 71 points when they used man-to-man defense, so;

   z-score for 71 =  \frac{X-\mu}{\sigma}

                            =  \frac{71-62}{5}  = <u>1.8</u>

<u></u>

So, it is better for the warriors to use man-to-man defense.

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3/5=12/x

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Answer:

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A.The original price of a sofa is $500. Answer the following questions. If the sofa price decreased by 20%, what is the new pric
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Answer:

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Step-by-step explanation:

Sorry there is no Step-by-Step explanation to this equation as I have generated an answer from my system.

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