Answer:
x=6
Step-by-step explanation:
-5(x - 2) = -20
first multiple 5 by x and -2
-5x 10 = -20
subtract 10 from 10 and -20
-5x=-30
then divide 5
x=6
Answer:
36 yd³
Step-by-step explanation:
The above solid shape given is a triangular prism.
The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)
Base length of triangle (b) = 9 yd
Height of the triangle (h) = 2 yd
Length of the prism (l) = 4 yd
Volume = ½bhl
Volume = ½*9*2*4
Volume = 9*4
Volume of prism = 36 yd³
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.
Answer:
The answer is 2.55
Step-by-step explanation:
12.75 / 5
= 2.55
Answer:
y= 5 and -3
Step-by-step explanation:
subtract 7 from both sides to get y^2-2y-15=0
factor the equation to get (y-5)(y+3)=0
add five on both sides to get y=5 and subtract 3 on both sides to get y=-3