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4 years ago

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The number of registered vehicles on the road in a country is constantly increasing. In 2009, there were approximately 270 mill

ion registered vehicles. This represents a 4 %4% increase over 2002. How many registered vehicles were there in the country in 2002? Round to the nearest million.

1 answer:

spin [16.1K]4 years ago

3 0

The Answer to your problem is:

270000000 x 4%

Answer:

10800000

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labwork [276]

Answer:D

Step-by-step explanation:

Function means that the pairs inside the [ ] should not have the same x value. since there are 2 pairs with 2 as the x value, you need to eliminate one of them

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3 years ago

For the hypotheses below test alpha = 0.025 with n = 100 and bar p = 0.67. State

I am Lyosha [343]

Answer:

Part a : Critical value

For this case we want a value of $\alpha = 0.025$ we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is $z_{crit}= -1.96$

Part b: Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.67 -0.76}{\sqrt{\frac{0.76(1-0.76)}{100}}}=-2.107$

Part c: Statistical decision

$n \hat p= 100*0.67= 67 >5$

$n (1-\hat p)= 100*(1-0.67)= 33 >5$

So then the normal approximation makes sense.

Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.67$ estimated proportion of interest

$p_o=0.76$ is the value that we want to test

$\alpha=0.025$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.76:

Null hypothesis: $p\geq 0.76$

Alternative hypothesis: $p < 0.76$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Part a : Critical value

For this case we want a value of $\alpha = 0.025$ we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is $z_{crit}= -1.96$

Part b: Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.67 -0.76}{\sqrt{\frac{0.76(1-0.76)}{100}}}=-2.107$

Part c: Statistical decision

$n \hat p= 100*0.67= 67 >5$

$n (1-\hat p)= 100*(1-0.67)= 33 >5$

So then the normal approximation makes sense.

Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76

6 0

4 years ago

4,408,730 expanded form

gogolik [260]

4000000 +
400000 +
8000 +
730 +
30

6 0

3 years ago

A ship travels a distance of 200 nautical miles in 10 1/2 hours. how many knots did the ship average each hour? (One knot equals

exis [7]

Answer:

19.05 knots average per hour

Step-by-step explanation:

Distance traveled = 200 nautical miles

Time taken = $10\frac{1}{2}$ hours = $\frac{10\times2+1}2=\frac{21}{2}$ hours

To find:

How many knots did the ship average each hour ?

Solution:

Here, we are given the distance traveled and total time taken to travel the distance.

As per question statement, we have to find the average speed of the ship.

Formula for average speed is given as:

$\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}$

Putting the values in the formula:

$\Rightarrow \text{Average Speed = }\dfrac{200}{\frac{21}{2}}\\\Rightarrow \text{Average Speed = }\dfrac{200\times 2}{21}\\\Rightarrow \text{Average Speed = }\dfrac{400}{21}\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}$

It is also given that 1 nautical mile per hours is equal to one know.

Therefore, the average speed can be written as:

19.05 knots average per hour

3 0

3 years ago

Wilson purchased a notebook for class for $5. He also purchased x pens for 1.50 each. Write the linear function to model Wilson'

Romashka-Z-Leto [24]

Answer:

$p=1.5x+5$

Step-by-step explanation:

Let the total purchase be given as 'p' dollars.

Given:

Price of a notebook = $5

Price of a pen = $1.50

Number of pens purchased = 'x'

Number of notebooks purchased = 1

So, cost of 'x' pens can be obtained using unitary method and is given as the product of price per pen and number of pens.

So, price of 'x' pens = Price per pen $\times$ Number of pens

Price of 'x' pens = $1.50\times x=1.5x$

Now, total purchase price will be equal to the sum of the price of a notebook and price of 'x' pens.

Therefore, the total purchase price is given as:

Total price = 1 notebook price + 'x' pens price

⇒ $p=5+1.5x\ or\ \\p=1.5x+5$

3 0

3 years ago