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2 years ago

Dont fight me on this.... ..but old town road kinda sucks now....

1 answer:

4 0

Wellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll I still kinda like it but I dont listen to it any more ya kno?

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Electric vehicles make up a very small proportion of the overall car market, but by how much has that proportion increased? Inde

Minchanka [31]

Given Information:

The proportion of electric cars sold in 2012 = p₁ = 0.1%

The proportion of electric cars sold in 2016 = p₂ = 0.5%

Sample size of electric cars in 2012 = n₁ = 10,000

Sample size of electric cars in 2016 = n₂ = 20,000

Confidence level = 95%

Required Information:

Change in the proportion of electric cars sold from 2012 to 2016 = ?

Answer:

Change in the proportion of electric cars sold from 2012 to 2016 = (0.284%, 0.516%)

Step-by-step explanation:

The change in the mean is given by

$\mu = p_2 - p_1\\\\\mu = 0.005 -0.001\\\\\mu = 0.004\\\\$

The change in standard error is given by

$SE = z\cdot\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2} }$

Where z is the value of z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96\\\\$

$SE = 1.96\cdot\sqrt{\frac{0.001(1 - 0.001)}{10,000} + \frac{0.005(1 - 0.005)}{20,000} } \\\\SE = 1.96\cdot 0.00059\\\\SE = 0.00116\\\\$

The change in the proportion of electric cars is

$\mu \pm SE \\\\0.004\pm 0.00116 \\\\(0.004-0.00116) \: and \: (0.004-0.00116)\\\\(0.00284, \: 0.00516)\\\\(0.284\%, \: 0.516\%)$

Therefore, we are 95% confident that the change in the proportion of electric cars sold from 2012 to 2016 is between (0.284%, 0.516%)

5 0

3 years ago

1. Write the recursive formula and the explicit formula for the sequence {3,6,12,24,48,...}. Show all work.

Evgesh-ka [11]

1. The given sequence is a geometric sequence.

The nth term of a geometric sequence is given by

$a_{n} = a_{1} r^{n-1}$

where $a_{n}$ is the nth term of the sequence,

$a_{1}$ is the first term of the sequence and

r is the common ratio.

In the given sequence,

a₁ = 3 and r = 2

∴ aₙ = 3(2ⁿ⁻¹)

2. All geometric sequences are discrete form of exponential functions.

A geometric sequence is given by

aₙ = a₀ rⁿ , where n is a discrete value, in other words, a counting integer.

If the discrete value, n is replaced by a continuous variable, x , the resulting function is exponential in nature.

3. Here, the given function is f(x) = 3(1.06 x) + 2.

We see that, f(x) increases with increase in x.

Let us assume x to be the amount of gold in grams and f(x) to be the price of gold.

The cost of gold is directly proportional to the amount of gold bought and there is a flat tax collected, which is 2 bucks.

4. Constant rate of change : When a quantity changes uniformly over the another quantity, it is said to constant change over the other. For example, when a car covers a distance of 50 km every hour, the car is said to have a constant speed, which is rate of change of distance.

Average rate of change : It is the average rate at which one quantity is changing with respect to another. Suppose let us take the car to be covering a distance of 50 km in the first hour and 60 km in the second hour. Here, the rate of change in first hour is 50 kmph, where as in the second is 60 kmph. The average rate of change is 55 kmph.

5. Average rate of change is the slope of the function.

Here the function is g(x)=6x-6

If y = mx+c, the slope is m.

Here, the function is also of the same form, where m =6 and c = -6.

So, the slope of the equation is 6.

Average rate of change is 6 in the interval, 0≤x≤3

4 0

3 years ago

Create a histogram for the data set <br> 5, 21, 9, 12, 38, 32, 2, 29

Musya8 [376]

The data set will look like this