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Naily [24]
3 years ago
12

Charlie drove 864 miles in 12 hours. at the same rate, how long would it take him to drive 504 miles?

Mathematics
2 answers:
katrin2010 [14]3 years ago
5 0
We can solve this by setting up a proportion where 864/12 = 504/x. We cross multiply and get 864x = 504 * 12. So 864x = 6048. Divide by 864 on both sides, x = 7.

It would take Charlie 7 hours to drive 504 miles. 
balandron [24]3 years ago
4 0
The answer is 7 hours.

The formula for this is Speed = Distance/Time. Time = Distance/Speed

864miles/12hrs = 72mph

With the same formula plug in 504 miles for Distance and leave time as X and speed will be 72mph.

72mph = 504miles/x 
Cross multiply
72x = 504
Divide by 72
X = 7 hours
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Step-by-step explanation:

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Here given value of x= 5 and y =1 , so we get as,

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hence adding new equation and equation no. 1

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3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
Stells [14]

Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

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Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0
3 years ago
Write the perimeter of the triangle as a simplified expression
ioda

Answer: 10y + 1

Step-by-step explanation:

The perimeter is the total distance round the figure.

Now, in this case it is going to be

Perimeter = 3y + 5 + 6y + y - 4

= 3y + 6y + y + 5 - 4

= 10y + 1

3 0
3 years ago
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