Plss help me im on a timer 12 mins left plsssss
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Answer: The sides length are 8.32 cm
Step-by-step explanation:
An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.
The area of a triangle is where the base is L, the Area is 30 and an unknown height.
To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of , a hypotenuse of L and a the unknown height.
Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, Where one c is
and the other is the height.
Then we find one of the c of the equation wich will be the height.
Finally, we use the triangle area mentioned before an find the value of L.
Answer:
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.
This means that
What is probability that a truck will weigh less than 14.3 tons?
This is the pvalue of Z when X = 14.3. So
has a pvalue of 0.3594
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons