-8x + 5x - 9 = 6 Can you help me?

Mathematics

1 answer:

Ann [662]3 years ago

3 0

Hope this helps sorry my writing is messy

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A gardener buys a rake and a pair of gloves for each of the 12 volunteers in the gardening club. Each pair of gloves

matrenka [14]

Let unit cost of one rake be : r

Given : Total number of volunteers = 12

Given : Each pair of gloves cost $8.00

⇒ Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96

Given : The gardener spends a total of $300 on both rakes and gloves

⇒ Cost of 12 rakes + Cost of 12 pair of gloves = $300

⇒ 12r + 96 = 300

⇒ 12r = 204

⇒ r = 17

<u>Answer</u> : Cost of one rake is $17

4 0

3 years ago

The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

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:

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

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 question, we have that:

$\mu = 28, \sigma = 6$