Step-by-step explanation:
50/50 chance of choosing one or the other because there is only two options
<u>Answer</u>:
x = 70 ;
y = 50 .
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Explanation:
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y = 50 ; since vertical angles are congruent.
180 – (50 + 60) = x ; since all angles in any triangle add up to 180 degrees.
↔ x = 180 – (50 + 60) = 180 – (110) = 70.
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Answer: 21, 22, 23
Step-by-step explanation:
you divide 66 with 3, that equals 22, then you have three 22. Then you have to take 1 from one of the 22s and give it to the other one, making it 21, 22 and 23
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:
x+7
Step-by-step explanation:
25x - 6x - 18x + 7
x + 7