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kolezko [41]
3 years ago
6

A package of five pairs of insulated gloves cost $29.45 what is the cost of a single pair of gloves

Mathematics
2 answers:
statuscvo [17]3 years ago
5 0

Answer:

$5.89

Step-by-step explanation:

29.45/5=5.89

pickupchik [31]3 years ago
4 0

Answer:

$5.89

Step-by-step explanation:

I divided 29.45 and 5 and got the product+cost of a single pair of the gloves; $5.89

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Answer:

The division was computed incorrectly.

Step-by-step explanation:

Given

Workings:

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\frac{8}{5} = 1.6 = 160\%

Required

Explain his error

The question says 5/8

Instead, Alejandro's working shows 8/5.

This working is done in an incorrect order and the correct solution is:

Let

x = \frac{5}{8}

Solve the fraction

x = 0.625

Multiply by 100%

x = 0.625 * 100\%

x = 62.5\%

<em>Hence, option (a) is correct.</em>

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Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical fact
scZoUnD [109]

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.

<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}

    =\frac{(55-1)\times 94.7}{75}\\\\=68.184

The test statistic value is, 68.184.

Decision:

cal.\chi^{2}=68.184

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

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