Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that 
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.




The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
From the left

the function is clearly approaching 5, while from the right

it is approaching -2.
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
Answer:
Step-by-step explanation:
Given that a friend flips a coin 10 times and observes head 7 times. So he concludes Probability of head =0.1
This is wrong because
i) Just making 10 trials and coming to conclusion is wrong. Trials should be large to get accurate estimate
ii) The way he threw the coin may be biased so differrent persons should flip and get results for larger trials
iii) External influences such as air, any other disturbance is not considered here.
To avoid all these sampling fluctuations number of trials should be increased with different situations and times.
First you distributive property:
3x-15=9
Add 15
3x=24
Divide
x=8