If the two legs of a right triangle measure 5 and 12 respectively, and the leg and hypotenuse of another right triangle measure
1 answer:
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Answer:
Population Mean = 2.0
Population Standard deviation = 0.03
Step-by-step explanation:
We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.
Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.
Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.
So, Mean, =
= 2.0
Therefore, mean for the population of products produced with this process is 2.
Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.
z = -1.6449 {from z % table}
We know that z formula is given by ;
~ N(0,1)
-1.6449 = ⇒
⇒ 0.0608 *
{as sample size is given 30}
⇒ = 0.03 .
Therefore, Standard deviation for the population of products produced with this process is 0.0333.
Answer:
is the CORRECT equation.
Step-by-step explanation:
The given question is INCOMPLETE.
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?
Now here:
a: The tree’s age in years.
Also, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”
⇒ 10 + two-thirds of that tree’s age = 50
But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.
So, the written equation by Javier is Incorrect.
Now, solving the written correct equation for the value of a, we get:
Hence the correct age of the tree = 60 years