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swat32
3 years ago
10

Determine the distance between (-3,1) and y=3x+1

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0
First, plot y=3x+1, which is (1,4)
Then, use the distance formula
The answer: is the square root of 25, so simplified to 5
You might be interested in
What goes in the question marks?
IgorC [24]

By using the properties of parallel lines, it can be inferred that -

Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.

What are parallel lines?

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal is a line that intersects two or more parallel lines

For the first question mark

\angle ASR \cong \angle AVU [Corrosponding angle]

For the second question mark

m\angle AVU = 90^{\circ} [Substitution property of equality]

To learn more about parallel lines, refer to the link-

brainly.com/question/26961508

#SPJ1

5 0
1 year ago
A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.
AVprozaik [17]

Answer:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean  is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

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".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean \bar X is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

8 0
3 years ago
(3,2), (3,5)
MaRussiya [10]

Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

4 0
2 years ago
It is for i ready help me
dezoksy [38]

Answer:

24, 48

Step-by-step explanation:

1. A common multiple is a number, specifically a whole number, that is a shared multiple between 2 or more numbers.

2. Given the information above, we can see there's a list of multiples for 6 and 8. The multiples that 6 and 8 share are 24 and 48, so they're common multiples.

Therefore, the answer is 24 and 48.

5 0
2 years ago
Read 2 more answers
Solve for V please!!!!!!!
enyata [817]

Answer:

v = 126°

Step-by-step explanation:

Since 54° and u are corresponding angles in parallel lines, they are equal, hence, u = 54°. u and v are Same Side Interior angles. In parallel lines, Same Side Interior angles are supplementary (meaning that they add up to 180°), therefore, v = 180 - u = 180 - 54 = 126°.

6 0
2 years ago
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