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2 years ago

True or false a plane contains only three points

Mathematics

2 answers:

vagabundo [1.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

True.

Lisa [10]2 years ago

5 0

Answer:

The correct answer is true. A plane formation conditions are: 1) At least three non-collinear points. 2) At least one point and a straight line such that the point should not lie on the straight line. This is the criteria for plane formation

Hope this helps :)

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In a small community, a survey on the favorite television programs of 63 housewives was made. Based on the survey, 38 housewives

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Answer:

x = 4

Step-by-step explanation:

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2 years ago

Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?

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2 years ago

A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the fil

MArishka [77]

Answer:

$T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)$

$P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solutio to the problem

Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:

$X \sim N(12,0.3)$

Where $\mu=12$ and $\sigma=0.3$

For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.

The definition of sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n} = \frac{T}{n}$

If we solve for the total T we got:

$T= n \bar X$

For this case then the expected value and variance are given by:

$E(T) = n E(\bar X) =n \mu$

$Var(T) = n^2 Var(\bar X)= n^2 \frac{\sigma^2}{n}= n \sigma^2$

And the deviation is just:

$Sd(T) = \sqrt{n} \sigma$

So then the distribution for the total would be also normal and given by:

$T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)$

And we want this probability:

$P(T\leq 72)$

And we can use the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z$

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2 years ago

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larisa86 [58]

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2 years ago

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Which statements help explain this result? Check all that apply.

12345 [234]

Answer:

The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.

Exponential growth involves a constant multiplicative rate of change.

Step-by-step explanation:

All that apply in the statements are as follows:

(a) The bottle was ½ full at 11:35 a.m. and doubled again after five minutes, which indicates that the bottle doubled at 11:40 am

(b) The bottle was ¼ full at 11:30 a.m. and doubled twice after 10 minutes. These means that the bottle was ½ full at 11:35 a.m. (i.e. five minutes ago the bottle was at ¼ full at 11:30 am, after five minutes, the which is was ½ full at 11:35 am but later became full at 11:40 am)

(c) Exponential growth involves a constant multiplicative rate of change (1.e. the rates of growth is twice every five minutes)

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2 years ago

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