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patriot [66]
3 years ago
10

Sue lives 6 miles from Gill. She also lives 1 mile closer to Taco Town restaurant than Gill does. Write an equation that shows t

his statement: the distance from Sue's to Taco Town plus the distance from Taco Town to Gill's equals the distance from Sue's house to Gill's house.
Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

The equation representing the statement is (x-1)+x=6.

Step-by-step explanation:

Given:

Distance from Sue house to Gill house = 6 miles.

Let the distance from Gill to Taco Town restaurant be 'x'.

Also Given:

Sue lives 1 mile closer to Taco Town restaurant than Gill does.

Hence Distance from Sue to Taco Town restaurant will be = x-1

We need to write the equation for the below statement.

the distance from Sue's to Taco Town plus the distance from Taco Town to Gill's equals the distance from Sue's house to Gill's house.

Framing in equation form we get;

(x-1)+x=6

Hence the equation is (x-1)+x=6.

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3 years ago
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Answer:

2005 points

Step-by-step explanation:

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3 years ago
In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin
denpristay [2]

Answer:

a) Z = -0.8

b) Z = 2.4

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 210, \sigma = 25

a) Find the z-score of John who scored 190

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 210}{25}

Z = -0.8

b) Find the z-score of Bill who scored 270

Z = \frac{X - \mu}{\sigma}

Z = \frac{270 - 210}{25}

Z = 2.4

c) If Mary had a score of 1.25, what was Mary’s score?

Z = \frac{X - \mu}{\sigma}

1.25 = \frac{X - 210}{25}

X - 210 = 25*1.25

X = 241.25

Mary's score was 241.25.

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