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hodyreva [135]
3 years ago
14

On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?

Mathematics
2 answers:
slavikrds [6]3 years ago
6 0

Distance drove by Lukas on Saturday = (4x - 5) miles

Distance drove by Lukas on Sunday = (3x - 10) miles

To find the difference in miles driven by Lukas = Distance drove by Lukas on Sunday - Distance drove by Lukas on Saturday

Difference in miles driven by Lukas = (3x - 10) - ( 4x - 5)

= 3x -10 - 4x +5

= -x - 5

Difference in miles driven by Lukas = ( - x - 5) miles

Tamiku [17]3 years ago
3 0
4x-5-(3x-10)=4x-5-3x+10=x+5 miles is the difference
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84 2/3% to a fraction in lowest terms
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The evaluation of 84 2/3% to a fraction in its lowest term is \mathbf{ \dfrac{127}{150} }

<h3>What is a fraction?</h3>

Fractions are sections or parts of a whole. They are divided into two parts, the numerator, and the denominator.

From the given information, we are to convert a mixed fraction into its lowest terms. By doing that, we are to convert it to an improper fraction.

\mathbf{= 84 \dfrac{2}{3}\%}

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A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl
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There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3

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the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

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H_a:  The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the   t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

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