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2 years ago

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The lengths of the sides of a triangle are in the extended ratio 4 : 9 : 10. The perimeter of the triangle is 92 cm. What are th

e lengths of the sides?

1 answer:

Nookie1986 [14]2 years ago

7 0

16, 36, 40

Set the problem up as 4x+9x+10x= 92

26x= 92

X= 4

Plug back in to get the lengths of the sides (shown above)

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A taco stand sells tacos for $3.25 each. The stands expenses for the day are $210. Define your variables and write an inequality

Julli [10]

Given:

Let P= profit
let n= no. of tacos sold per day

Sol'n:

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the profit needs to be positive, thus

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n> 64.615

they can only sell whole tacos, therefore they must sell at least 65 tacos to make a profit and that profit is:

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3 years ago

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We assume the incomes are normally distributed.

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Standard deviation : $\sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}$

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The confidence interval for the population mean (for sample size <30) is given by :-

$\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{9,0.025}=2.262$

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

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