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3 years ago

14

The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are

possible if letters and digits can be repeated?

1 answer:

zavuch27 [327]3 years ago

3 0

Answer:

17,576,000 different combinations possible.

Step-by-step explanation:

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In the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?

Talja [164]

Slope of tangent line = dy/dx = 2x+3
k is y_intercept of tangent line

2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1

tangent line passes through point (-2,-1)

k = x+y

k = -2 -1

k = -3

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3 years ago

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga

jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that $n = 1186, \pi = \frac{248}{1186} = 0.2091$

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285$

The 90% confidence interval is (0.1897, 0.2285).

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3 years ago

Draw two lines with a slope of 1 / 2. What do you notice about the lines?

patriot [66]

Answer:

The lines would be parallel.

Step-by-step explanation:

lines with the same slope are parallel.

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Rocky lends $3000 to Ken at 10% per annum and the Ken lends the same sum to like at 12% per annum. Find kens gain over a period

zalisa [80]

Let t = time

Between Rocky and Ken:

3000 + 3000(.10)(t)

Between Ken and Mike:

3000 + 3000(.12)(t)

Kens gain = The difference

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Korvikt [17]

Answer:

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Step-by-step explanation:

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