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RoseWind [281]
3 years ago
7

The total revenue R (in dollars) is directly proportional to the number of units sold x. When 500 units are sold, the total reve

nue is $4825. Write a mathematical model that relates the total revenue R to the number of units sold x.
Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

Answer:

y = 9.65x

Step-by-step explanation:

Given that total revenue is directly proportional to the number of units sold

Let the number of units sold be represented by x and the total revenue be represented by y

Given y∝x

y = kx where k is some constant

Also given that when 500 units are sold, the total revenue is $4825.

Here y=4825 and x=500

Now 4825= k\times500

k=9.65

Therefore the equation representing the relation between the total revenue and the number of units sold is

y = 9.65x

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Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
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Answer:

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Step-by-step explanation:

Information given

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\sigma_{1}=2.3 represent the population standard deviation for Gibbs

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We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

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The statistic would be given by:

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

Replacing the info given we got:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

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