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3 years ago

14

When 6 is added to the number that is produced by tripling the number x, the result is equal to 2 times the number that is 3 les

s than x. What is the value of X?

1 answer:

Nikitich [7]3 years ago

3 0

So..

3x+6=2(x-3) distribute
3x+6=2x-6 combine like terms
x=-12 solution

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When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability

sdas [7]

Answer:

a) Poisson distribution

use a Poisson distribution model when events happen at a constant rate over time or space.

Step-by-step explanation:

<u> Poisson distribution</u>

Counts based on events in disjoint intervals of time or space produce a Poisson random variable.

A Poisson random variable has one parameter, its mean λ

The Poisson model uses a Poisson random variable to describe counts in data.

use a Poisson distribution model when events happen at a constant rate over time or space.

<u>Hyper geometric probability distribution</u>:-

The Hyper geometric probability distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws without replacement, from a finite population of size that contains exactly objects with that feature where in each draw is either a success or failure.

This is more than geometric function so it is called the <u>Hyper geometric probability distribution </u>

<u></u>

<u>Binomial distribution</u>

The number of successes in 'n' Bernoulli trials produces a <u>Binomial distribution </u>. The parameters are size 'n' success 'p' and failure 'q'
The binomial model uses a binomial random variable to describe counts of success observed for a real phenomenon.

Finally use a Binomial distribution when you recognize distinct Bernoulli trials.

<u>Normal distribution</u>:-

<u>normal distribution is a continuous distribution in which the variate can take all values within a range.</u>

Examples of continuous distribution are the heights of persons ,the speed of a vehicle., and so on

Associate normal models with bell shaped distribution of data and the empirical rule.

connect <u>Normal distribution</u> to sums of like sized effects with central limit theorem

use histograms and normal quantile plots to judge whether the data match the assumptions of a normal model.

<u>Conclusion</u>:-

Given data use a Poisson distribution model when events happen at a constant rate over time or space.

3 0

3 years ago

A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

qaws [65]

The projectile's horizontal and vertical positions at time $t$ are given by

$x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t$

$y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2$

where $g=9.8\dfrac{\rm m}{\mathrm s^2}$ . Solve $y=0$ for the time $t$ it takes for the projectile to reach the ground:

$30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s$

In this time, the projectile will have traveled horizontally a distance of

$x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m$

The projectile's horizontal and vertical velocities are given by

$v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ$

$v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt$

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about $\sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}$ .

7 0

3 years ago

What time what equals 315

hammer [34]

I divided 315 by any random number and chose the one that gave me a whole number
So I got $5$ x $63 = 315$

4 0

3 years ago

Read 2 more answers

Analyze the graphed function to find the local minimum and

FrozenT [24]

Answer: (06. -8)

I hope this answer is right

3 0

3 years ago

Read 2 more answers

Name the remainder for the quotient and describe or show how you found the remainder.

horsena [70]

Answer:

Step-by-step explanation:

The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;

x+5 = 0

x = -5

Next is to generate the remainder.

Substitute x = -5 into the polynomial function

P(x) = x^3 - x^2 - 17x -15

P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15

P(-5) = -125-25+85-15

P(-5) = -150+70

P(-5) = -80

Hence the remainder is -80

5 0

4 years ago