Answer:
It is the answer closest to the right. The one with a straight line.
Step-by-step explanation:
Because it is a function if there is only one dot per line vertically. The others have either 2 or more dots per line vertically.
Answer is 10(2k+5)
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Work Shown:
20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)
Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer
Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
Answer: h= 69.3m
Step-by-step explanation:
The correct values in the question are:
year : 2006, length 62, vertical height 62.
So, the measure asked is called slant height . we have to apply the formula:
sh = √(vh^2 + [L/2]^2)
Where:
vh= vertical height
L= length of a side of the square base
Replacing with the values given:
sh= √(62^2 + [62/2]^2)
sh = √(3,844 + 31^2)
sh= √(3,844 + 961)
sh = √4,805
hs= 69.31 =69.3 m (nearest tenth)
Since in the question that height is called h, h= 69.3
Answer:
At least 202.44 mm in the top 15%.
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
How many yearly mm of rainfall would there be in the top 15%?
At least X mm.
X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
At least 202.44 mm in the top 15%.
Work is provided in the image attached.
