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Yuki888 [10]
3 years ago
12

While riding her bike to the ocean and back home 55 times, kimberly timed herself at 48min48⁢min, 48min48⁢min, 49min49⁢min, 46mi

n46⁢min, and 64min64⁢min. she had set a goal of averaging 5353 minutes for her rides. how many minutes will she need to spend on her sixth ride to attain her goal?
Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0
Total of 5 times = 48 + 48 + 49 + 46 + 64 = 255 mins

Goal:
Average = 53 mins
Total = 53 x 6 = 318 mins

6th ride = 318 - 255 = 63 mins

Answer: She needs to attain 63 mins for her 6th ride.




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o-na [289]

Answer:

0.6568 = 65.68% probability that she would be correct.

Step-by-step explanation:

When the distribution is normal, we use 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}

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45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.

This means that:

\mu = \frac{45000 + 45500 + 44500 + 46000 + 44000}{5} = 45000

Standard deviation of 1500 units.

This means that \sigma = 1500

What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?

This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So

X = 46000

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

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

Z = \frac{43000 - 45000}{1500}

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5 0
3 years ago
What are the solutions to the equation y2 – 1 = 15?
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Answer:

The solution of y² - 1 = 15  is +4 and -4

Step-by-step explanation:

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y² - 1 = 15

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y² = 15 + 1

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Take square roots of both sides

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y =  √16

Note that the square root of 16 is either +4 or -4 because +4 * +4 = 16 and -4 * -4 = 16; So, we replace √16 with ±4 which means + or -4

y = ±4

y = +4 and -4

Hence, the solution of y² - 1 = 15  is +4 and -4

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