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2 years ago

If a line exists, then the line contains at least 2 points. True/False

Mathematics

1 answer:

drek231 [11]2 years ago

6 0

Answer:

True

Step-by-step explanation:

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. If a line had only one point, it would just be a point. It would no longer be a line.

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If it took 6 hours to clean 12 houses, how many houses could be cleaned in 11 hours?

nata0808 [166]

22 houses can be cleaned in 11 hours.

Step-by-step explanation:

It is given that;

6 hours = 12 houses cleaned

1 hour = $\frac{12}{6}\ houses\ cleaned\\$

1 hour = 2 houses cleaned

In 1 hour, 2 houses can be cleaned, therefore,

11 hours = Time*houses cleaned in one hour

11 hours = 11*2 =22 houses cleaned

22 houses can be cleaned in 11 hours.

Keywords: unit rate, multiplication

Learn more about multiplication at:

#LearnwithBrainly

6 0

3 years ago

25 points please help thanks

weeeeeb [17]

Answer:

Step-by-step explanation:

With a slope of 1 and a y intercept of -3

y = 1x - 3

y = 1(-2) - 3

y = -5

(-2, -5)

6 0

1 year ago

The mean annual cost of an automotive insurance policy is normally distributed with a mean of $1140 and standard deviation of $3

DerKrebs [107]

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters in this problem are given as follows:

$\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5$

Item a:

The probability is the p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000, hence:

X = 1250:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{1250 - 1140}{77.5}$

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

$Z = \frac{X - \mu}{s}$

$Z = \frac{1000 - 1140}{77.5}$

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is one subtracted by the p-value of Z when X = 1250, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the p-value of Z when X = 1220, hence:

$Z = \frac{X - \mu}{s}$

$Z = \frac{1220 - 1140}{77.5}$

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

1 year ago

Which of the following is not one the three categories of Euclid’s geometric principles?

Nikolay [14]

"Conjeture" is not one of the three categories of Euclid's geometric principles.

Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.

The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.

Learn more about Euclid in brainly.com/question/1674393

4 0

2 years ago

Help xd -(x+2) = 3(7x - 8)= 7(x+3)-5x Thank you!

HACTEHA [7]

Answer:

x=−5

x= 31/21 =1 10/21= 1.476190476

2x+21

hope this helps

3 0

3 years ago

Read 2 more answers