Answer:
93.32% probability of obtaining a value less than or equal to -7.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
What is the likelihood of obtaining a value less than or equal to -7?
This is the pvalue of Z when X = -7.
So
has a pvalue of 0.9332.
So there is a 93.32% probability of obtaining a value less than or equal to -7.
4950 kg hope this helps!!!
We are given with a regular 15-gon with a perimeter of 90 meters. In this case, side length is equal to 90/15 or 6 m. The angle inside the center is 360/15 or 24 degrees. We determine the area of each triangle (15 of them) and just multiply by 15 to get the total area. The height of each triangle is tan (12) = 3/ h where h is equal to 14.11 meters. Hence the area is 0.5*14.11*6*15 or equal to 635.13 meters.
Answer:
So the percentages add up to 80% of her paycheck. The remaining 20% is equal to $2400. $12000 is the amount she makes per month.
Step-by-step explanation:
Knowing that 20% = 2400, you can divide 2,400 by .2 (20 percent) to get the monthly amount of money. To fact check this, multiply 12,000 by .8, this is the amount she spent on her other expenses (retirement, education and income tax). If you add this total (9600) to 2400, you will get the answer, 12000 aka her monthly income.
Since we are looking for the distance around the edges of the bedroom, we are actually finding the perimeter.
2L + 2W = perimeter where L is length and W is width. Plugging our known information into the equation:
2(13) + 2(12)
= 26 + 24
= 50
Your answer should be 50 feet. Hope this helps!
