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3 years ago

9

The table shows the cost for ordering a certain number of tacos what is the values of x if the cost is proportional to the numbe

r of tacos ordered?

1 answer:

Lisa [10]3 years ago

6 0

The answer is going to be $6.50. hope that helped

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what is the sum of an 8th term geometric series if the first term is -11, the last term is 180,224, and the common ratio is -4

Mumz [18]

The sum of n terms is given from the first term and the common ratio by

$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}$

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

$S_{8}=(-11)\dfrac{(-4)^{8}-1}{-4-1}=(-11)\dfrac{65535}{-5}\\\\=144177$

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3 years ago

Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25

umka2103 [35]

Answer :

$\frac{1}{100} (4 {x}^{2} + {y}^{2} )$

$\frac{dy}{dx} = \frac{ - x}{y}$

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3 years ago

The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s

lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$

As n is given as 40 so the new sample size is given as

$n_2=4n\\n_2=4*40\\n_2=160$

So the sample size to obtain the desired margin of error is 160.

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3 years ago

look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution

Julli [10]

Answer:

Step-by-step explanation:

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3 years ago

Tom is 45 and pays $2042 on his mortgage each month while his total take home pay is $5950 per month. The national average, for

Scrat [10]

Take the amount that he pays for his mortgage, so $2042, and divide that by his total pay, $5950. You’ll get .34016907. Then to make a decimal into a percentage, you multiply it by 100. This gives you 34%, meaning he spends less than the national average on housing.

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3 years ago