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ankoles [38]
3 years ago
11

bill is comparing the price rates of two airport shuttles. he wants to know when the price to travel from his house to the airpo

rt will be the same for both companies. Sam's vans :$2.00 plus 50 cents per mile. rocks rides: $1.00 plus 75 cents per mile
Mathematics
2 answers:
Mila [183]3 years ago
8 0
2.00 + .50x
1.00 + .75x

2.00 + .50x = 1.00 + .75x
- .50x = - .50x
—————————————
2.00 = 1.00 + .25x
-1.00 = -1.00 + .25x
—————————————-
1.00 = .25x
—— ——
.25 .25
4 = x

Answer is 4
PtichkaEL [24]3 years ago
6 0
Let x = number of miles.

Price of Sam's Vans: 2 + 0.5x
Price of Rock Rides: 1 + 0.75x

Set the prices equal to each other, and solve for x, the number of miles.

2 + 0.5x = 1 + 0.75x

-0.25x = -1

x = 4

Answer: The two prices are equal when he travels 4 miles.
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Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

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Answer:

Step-by-step explanation:

Vertex is halfway between focus and directrix, so focus is (-3,0).

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