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marshall27 [118]
3 years ago
5

The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Define your variable and write an equati

on that models the cost of each bracelet. Would it be 8x+6=54
Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0
8x+6=54
    -6   -6
    8x=48   
8x /8=48/8
      x=6 the bracelets were $6 a piece

AleksandrR [38]3 years ago
3 0

Answer:

The equation that models the cost of each bracelet is 8x+6=54

Step-by-step explanation:

Let the cost of each bracelet be = x

So, the cost of 8 bracelets are = 8x

The shipping fee is = $6.

The total cost for 8 bracelets, including shipping was $54.

We can denote this mathematically as:

8x+6=54

Now solving for x to get the cost of 1 bracelet.

8x=54-6

=> 8x=48

Dividing both sides by 8;

We get x = 6

So, the cost of each bracelet is $6.

The equation that models the cost of each bracelet is 8x+6=54

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Answer:

The 95% confidence interval would be given by (29.780;32.020)  

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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".

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Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

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So on this case the 95% confidence interval would be given by (29.780;32.020)    

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