Answer:
Hans Lipperhey made the telescope
Answer:
1. LM < PN
2. AD < DC
3. m<CAB < m<CBA
4. m<1 = m<2
Step-by-step explanation:
Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.
1. LM is opposite to <LNM,
PN is opposite to <NLP
m<LNM is less than m<NLP, therefore,
LM < PN
2. AD is opposite to <ABD
DC is opposite to <DBC
m<ABD is less than m<DBC, therefore,
AD < DC
3. m<CAB is opposite to CB
m<CBA is opposite to CA
CB is less than CA, therefore,
m<CAB < m<CBA
4. The side opposite to <1 is congruent to the side opposite to <2.
Therefore,
m<1 = m<2
Average rate of change = (x(4) - x(2))/(4 - 2) = ((4 + 2(4)^2) - (2 + 2(2)^2))/2 = ((4 + 2(16)) - (2 + 2(4)))/2 = ((4 + 32) - (2 + 8))/2 = (36 - 10)/2 = 26/2 = 13.
Therefore, average velocity is 13 m/s
Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z = = -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.