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Ad libitum [116K]

2 years ago

5

if two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement repre

sent

2 answers:

mario62 [17]2 years ago

8 0

Answer:

The geometric term is postulate.

Step-by-step explanation:

The geometric term that the statement represents is a postulate.

A postulate is considered true without any proof.

So, the statement "If two points are given, then exactly one line can be drawn through those two points" is a postulate because it is assumed to be true without any proof.

lubasha [3.4K]2 years ago

5 0

Answer:

This is a postulate which states that through any two points, there is exactly one line.

Step-by-step explanation:

A postulate is a statement that is assumed true without proof.

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What is the least number of inequalities needed to produce a closed region?

Simora [160]

25 is the answer..............

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2 years ago

A marketing firm wants to estimate how much root beer the average teenager drinks per year. A previous study found a standard de

Verdich [7]

Answer:

At least 832 teenargers must be interviewed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liter when constructing a 99% confidence interval

At least n teenargers must be interviewed.

n is found when M = 0.1.

We have that $\sigma = 1.12$

So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.1 = 2.575*\frac{1.12}{\sqrt{n}}$

$0.1\sqrt{n} = 2.575*1.12$

$\sqrt{n} = \frac{2.575*1.12}{0.1}$

$(\sqrt{n})^{2} = (\frac{2.575*1.12}{0.1})^{2}$

$n = 831.7$

Rounding up

At least 832 teenargers must be interviewed.

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2 years ago

An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the fun

aleksley [76]

Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval
$a \leq x \leq b$
is given by
$\frac{f(b)-f(a)}{b-a}$

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
$0 \leq x \leq 1$
is given by
$\frac{f(1)-f(0)}{1-0} = \frac{2-1}{1} =1$

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
$0 \leq x \leq 1$
is given by
$\frac{g(1)-g(0)}{1-0} = \frac{1-0}{1} =1$

Therefore, the exponential grows at the same rate as the quadratic in the interval <span> $0 \leq x \leq 1$ .</span>

3 0

2 years ago

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Convert 12080 gallons per month into liters per hour

Anastaziya [24]

In this question , we have to convert 12080 gallons per month to liters per hour .

There are 3.78541 liters in 1 gallons , and there are 30 days in a month, and 24 hours in a day .

So to convert 12080 gallons per month, we have to multiply 12080 by 3.78541 and divide the result by the product of 30 and 24. THat is

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5 0

2 years ago

The country of Sylvania has decided to reduce the number of its illiterate citizens by \dfrac35

Alex73 [517]

Answer:

<u>P(t) = 9,000 - 5,400t</u>

Correct statement and question:

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Reduction rate in the number of illiterate people in Sylvania annually = 3/5

Number of illiterate people in Sylvania this year = 9,000

2. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

P(t) = Number of illiterate people in Sylvania this year - (Number of illiterate people in Sylvania this year * Reduction rate in the number of illiterate people in Sylvania annually)

Replacing with the values and variables provided, we have:

P(t) = 9,000 - (9,000 * 3/5t)

<u>P(t) = 9,000 - 5,400t</u>

Now we can calculate P(1), this way:

P(1) = 9,000 - 5,400 * 1

P(1) = 3,600

And we can calculate when there won't be illiterate people in Sylvania, as follows:

P(t) = 9,000 - 5,400t

9,000 - 5,400t = 0

-5,400t = -9,000

t = -9,000/-5,400

t = 1.67 years

t = 1 year and 8 months (0.67 * 12 = 8)

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2 years ago

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