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Ronch [10]
2 years ago
15

The commission Gary earns is proportional to the cost of the shoes he sells. Gary earns 15% in commission for every $150 worth o

f shoes he sells. Which equation give the total commission, C, Gary will earn based on the cost, s, of the shoes he sells?
Mathematics
2 answers:
GarryVolchara [31]2 years ago
8 0

Answer:

Thus, The required equation is :

C=\frac{S}{0.15}

Step-by-step explanation:

Minimum price to offer a commission = $150

Also, The rate of commission rate is given to be : 15%

So, Amount of commission earned per $150 = 15% of 150

                                                                          = 0.15 × 150 = $22.5

Now, C is the commission earned and S is the cost of shoes earned

Thus, The required equation is :

C=\frac{22.5}{150}\times S\\\\\implies C=\frac{S}{0.15}

barxatty [35]2 years ago
6 0
C = $150x * .15 is the formula
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6 1
2 years ago
The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 e
ki77a [65]

Let s represent number of shirts and h represent number of hats.

We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.

The cost of s shirts would be 10s and cost of h hats would be 8h. The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:

10s+8h\leq 1800

We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:

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2 years ago
A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

M = z\frac{\sigma}{\sqrt{n}}

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

n = 48.73

Rounding up

49 measurements are needed.

7 0
1 year ago
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