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4 years ago

11

Unsure of how to solve this problem. Please help.

1 answer:

mote1985 [20]4 years ago

7 0

1 YEAR = 365 days

365 days * 24 hours = 8760 hours

8760 hours * 60 minutes = 525,600 minutes

=> 1 year has 525,600 minutes

now take 2,720,000 miles / 525,600 minutes = 5.17 miles per minutes

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How many solutions does this equation have -10x+3=5x-27

Alex777 [14]

2 solutions for this one

7 0

4 years ago

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb

dezoksy [38]

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

<u>Step-by-step explanation</u>:

<em>Given first sample size n₁ = 677</em>

<em>First sample proportion </em>

<em> </em> $p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254$ <em></em>

Given second sample size n₂ = 3377

<em>second sample proportion </em>

<em> </em> $p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936$ <em></em>

<u><em>Null Hypothesis : H₀ :</em></u><em> p₁ = p₂.</em>

<u><em>Alternative Hypothesis : H₁</em></u><em> : p₁ ≠ p₂.</em>

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }$

where

$P = \frac{n_{1} p_{1} + n_{2} p_{2} }{n_{1}+n_{2} } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }$

Z = 3.775

<em>Critical value ∝=0.05</em>

<em>Z- value = 1.96</em>

<em>The calculated value Z = 3.775 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The Two Population proportion are not equal</em>

<em></em>

3 0

3 years ago

A meat inspector has randomly selected 30 packs of 95% lean beef. The sample resulted in a mean of 96.2% with a sample standard

kirza4 [7]

Answer:

a

The upper bound of the 99% prediction level is $98.2$

b

The 95% confidence interval is $9.7383 < \mu < 10.2617$

Step-by-step explanation:

Considering first question

From the question we are told that

The sample size is n = 30

The sample mean is $\= x = 96.2\%$

The standard deviation is $s = 0.8\%$

Generally the degree of freedom is mathematically represented as

$df = n - 1$

=> $df = 30 - 1$

=> $df = 29$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\alpha , 29} = 2.462$

Generally the 99% prediction level is mathematically represented as

$\= x \pm [(t_{\alpha , df }) * s * (\sqrt{1 + \frac{1}{ n} } )}]$

Generally the upper bound of the 99% prediction level is mathematically represented as

$\= x + [(t_{\alpha , df }) * s * (\sqrt{1 + \frac{1}{ n} } )}]$

=> $96.2 + (2.462 ) * 0.8 * (\sqrt{1 + \frac{1}{ 30} } )}]$

=> $98.2$

Considering second question

Generally the sample is mathematically represented as

$\= x = \frac{\sum x_i}{n}$

=> $\= x = \frac{ 9.8 + 10.2 + \cdots +9.6 }{7}$

=> $\= x = 10$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{ \frac{ \sum ( x_ i - \= x)}{n-1} }$

=> $\sigma = \sqrt{ \frac{ ( 9.8 -10)^2 + ( 10.2 -10)^2 + \cdots + ( 9.6 -10)^2 }{7-1} }$

=> $\sigma = 0.283$

Generally the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 7- 1$

=> $df = 6$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2} , 6 } = 2.447$

Generally the margin of error is mathematically represented as

$E = t_{\frac{\alpha }{2} , 6 } * \frac{\sigma }{\sqrt{n} }$

=> $E =2.447* \frac{0.283 }{\sqrt{7} }$

=> $E =0.2617$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $10 -0.2617 < \mu < 10 + 0.2617$

=> $9.7383 < \mu < 10.2617$

7 0

3 years ago

What fraction does point A represent

Juliette [100K]

Answer:

Are there any options? If so then, I say <u><em>C</em></u>

Step-by-step explanation:

<u><em> I really hope this helped! °ω°</em></u>

3 0

2 years ago

What is 6,312 divided by 8

Oksana_A [137]

The answer would be 789

6 0

4 years ago

Read 2 more answers