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FrozenT [24]
2 years ago
3

lisa is planning to buy oak fence to put around her (-7x-3) feet by (9x +2) feet rectangle garden. if each foot cost 11 $ how ch

will the total oak fencing around thh gargen cost?
Mathematics
1 answer:
a_sh-v [17]2 years ago
8 0

Perimeter is given by :

P = 2( L + B )

P = 2( -7x - 3 + 9x + 2 )

P = 2( 2x - 1 )

Cost per foot is $ 11 .

Total cost will be equal to :

C=11\times P\\\\C=11\times 2(2x-1)\\\\C=4x+9

Therefore , total cost of fencing is $(4x + 9) .

Hence , this is the required solution .

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Answer:

The exponent is negative

The exponent represents the number of places the decimal moves

The decimal moves to the right

Step-by-step explanation:

8 0
2 years ago
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Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point
vladimir2022 [97]

Answer:

Option 3 is correct.

The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.

Step-by-step explanation:

Before anything else, we first give the null and alternative hypothesis for this question.

Null hypothesis would be that there isn't significant evidence to conclude that the mean point spread of home games is higher than that of away games.

H0: µ1 = µ2

And the alternative hypothesis would be that there is significant evidence to conclude that the mean point spread of home games is higher than that of away games.

Ha: μ1 > μ2

The data from the output of the analysis of the hypothesis test is missing from the question. It was obtained online and is attached to this solution of the question.

The table consists of the difference, the sample mean, the standard error of the mean, degree of freedom, the test statistic and most importantly, the p-value. It is the p-value that absolutely gives us the concluding statement of the hypothesis testing.

When the significance level for a test isn't provided, the convention is usually to use 5% significance.

Interpretation of p-value

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.4351

0.4351 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that 'The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games'.

Hope this Helps!!!

7 0
2 years ago
The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The
bija089 [108]

Given that, according to sanitation departments report; the samount of garbage produced by 1 resident = 1.643 \times 10^3pound.

Given that population of the city = 2.61 \times 10^5


Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.


Total garbage collected = (2.61 \times 10^5 ) * (1.643 \times 10^3 ) pounds

Total garbage collected = (2.61*1.643) \times 10^{5+3} pounds

Total garbage collected = 4.28823 \times 10^8 pounds

Hence final answer is 4.28823 \times 10^8 pounds.

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Step-by-step explanation:

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