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lozanna [386]
3 years ago
6

Gatley's Sport and Camden Sports both carry the same brand o ski socks. At Gatley's 5 pairs of ski socks cost $36.25. At Camden

Sports, 4 pairs of the ski socks cost $32.60.
Mathematics
1 answer:
REY [17]3 years ago
8 0

This question is incomplete

Complete Question

Gatley’s Sport Shack and Camden Sports both carry the same brand of ski socks. At Gatley’s, 5 pairs of the ski socks cost $36.25. At Camden Sports, 4 pairs of the ski socks cost $32.60. A. What is the unit cost per pair of ski socks at both Gatley’s Sport Shack and Camden Sports?

Answer:

The unit cost per pair of ski socks at the Gatley’s Sport Shack is $7.252

The unit cost per pair of ski socks at the Camden Sports is $8.15

Step-by-step explanation:

a) At Gatley’s, 5 pairs of the ski socks cost $36.25.

The unit cost per pair of ski socks at the Gatley’s Sport Shack is calculated as:

5 pairs = $36.26

1 pair = $x

Cross Multiply

5 × $x = 1 × $36.26

$x = $36.26/5

$x = $7.252

Therefore, the unit cost per pair of ski socks at the Gatley’s Sport Shack is $7.252.

b) At Camden Sports, 4 pairs of the ski socks cost $32.60

The unit cost per pair of ski socks at the Camden Sports is calculated as:

4 pairs of socks is = $32.60

1 pair of socks = $x

4 × $x = 1 × $32.60

$x = $32.60/4

$x = $8.15

The unit cost per pair of ski socks at the Camden Sports is $8.15.

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Step-by-step explanation:

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P(1 on green die) = 1/6

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Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36

(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

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Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36

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Step-by-step explanation:

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Firstly, the pivotal quantity for 99% confidence interval for the true mean specimen is given by;

        P.Q. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weighing of specimen = \frac{3.412+3.416+3.414}{3} = 3.414 g

            \sigma = population standard deviation = 0.001 g

            n = sample of specimen = 3

            \mu = population mean

<em>Here for constructing 99% confidence interval we have used z statistics because we know about population standard deviation (sigma).</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5% level

                                                            of significance are -2.5758 & 2.5758}

P(-2.5758 < \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < 2.5758) = 0.99

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Therefore, 99% confidence interval for this specimen is [3.4125 , 3.4155].

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