Answer:
1. False, 16=8
2. False, 15=243
3. True, 125=125
4. False, 8=9
5. False, 16=64
6. False, 0.0625=2
7. False, 0.0625=0.125
8. True, 64=64
Step-by-step explanation:
Answer: -3
Step-by-step explanation:
We can check our work my multiplying -3 by -9 and see that it equals 27
![-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27](https://tex.z-dn.net/?f=-9%2A%5B%5Cfrac%7B27%7D%7B-9%7D%20%20%3D%20-3%20%5D%2A%20-9%5C%5C27%20%3D%2027)
Answer:
Step-by-step explanation:
Answer:
x=-2 y=0
Step-by-step explanation:
put the second equation in to the first one
-2x+x+2=4
-x=2
x=-2
y=-2+2=0
x=-2 y=0
Binomial conditions<span>fixed number of trials
each trial must be either a success or a fail
trails must be independent
the value of P must remain constant</span>Binomial E(X)npBinomial Var(X)np(1-p)Poisson conditions<span>events must be independent
events must occur singly in space or time
event must occur at a constant rate</span>poisson E(X)£Var(X)£binomial to normal<span>n is large
p is close to 0.5
N(np,np(1-p)
np>10</span>binomial to poisson<span>n is large
p is small
Po(np)
np<10</span>poisson to normal<span>n is large
N(£,£)</span>populationa collection of itemscensusinformation obtained from every member of a populationsamplea selection of indvidual members from a populationpopulation parameterany characteristic of a population which is measurablefinite populationa population in whihc every individual member can be given a numberinfinite populationa population which is impossible to give a number to every individualadvantage censusevery single member of a population is used, unbiased, gives an accurate answerdisadvantage censustime consuming, costly, difficult to ensure that the whole population is surveyeddisadvantage sample<span>natural variation
bias</span>advantage sample<span>sample is representative
cheaper
data more readily avalible</span>poisson<span>events occur randomly
singly in space or time
independently of each other
constant rate</span>binomial<span>fixed number of trials
each trail either a success or failure
trails independent
probability of success constant</span>significance levelprobability of incorrectly rejecting the null hypothesisstatisticrandom variable quantity calculated soley from observations in a sample does not involve any unknown parameters numerical property of a samplesampling distributionall possible values of a test statistic and their probabilitiessampling framea list of all the sampling units within a populationsampling unitsthe individual units of a populationsample surveyan investigation using a samplerandom samplingevery possible sample of size n has an equal chance of being selectedhypothesisa statement made about the value of a population parameternull hypothesishypothesis that is assumed to be correcttest statistica form of a statistic in which the evidence from a sample in a hypothesis test is summarisedcritical valuesthe values on the boundaries
