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Valentin [98]
2 years ago
10

hauler and gio went to the store. they each purchased pop and snacks. hailey purchased 1 pop and 4 snacks and spent $14. gio pur

chased 2 pops and 2 snacks and spent $10. how much did the store charge each pop and snack? (write a system of equations and use elimination to solve.)
Mathematics
1 answer:
Dafna1 [17]2 years ago
7 0

Answer:

Cost of pop = $2

Cost of snacks = $3

Step-by-step explanation:

Let

Cost of pop = x

Cost of snacks = y

Hauler

x + 4y = 14

Good

2x + 2y = 10

x + 4y = 14 (1)

2x + 2y = 10 (2)

Using elimination method

Multiply (1) by (2)

2x + 8y = 28 (3)

2x + 2y = 10 (2)

Subtract (2) from (3) to eliminate x

8y - 2y = 28 - 10

6y = 18

y = 18/6

y = $3

Substitute y = 3 into (1)

x + 4y = 14 (1)

x + 4(3) = 14

x + 12 = 14

x = 14 - 12

x = $2

Cost of pop = $2

Cost of snacks = $3

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Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em></h2>

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6x + 18 = 12x

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2 years ago
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Answer:

4-2.326\frac{1}{\sqrt{100}}=3.767    

4+2.326\frac{1}{\sqrt{100}}=4.233    

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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\sigma=1 represent the population standard deviation

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Solution to the problem

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\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that z_{\alpha/2}=2.326

Now we have everything in order to replace into formula (1):

4-2.326\frac{1}{\sqrt{100}}=3.767    

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So on this case the 98% confidence interval would be given by (3.767;4.233)

   

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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