8b-4x+5 use b=-2 and x=-9 Simplified is?
2 answers:
You might be interested in
work shown above! basically each coordinate is opposite so the new coordinates would be A(0,-3) B(-2,4) C(4,6)
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.
Janet has remaining $ 149.16 in her paycheck
<h3><u>Solution:</u></h3>Given that Janet's paycheck was $248.60
She put 1/4 of her paycheck into a checking account
Therefore amount put into checking account is given as:
So she spent $ 62.15 into checking account
Now the remaining paycheck amount left is:
remaining paycheck amount left = 248.60 - 62.15 = 186.45
Therefore remaining paycheck amount left is $ 186.45
Now she spent 1/5 of what was left to buy dinner for her family
So she spent $ 37.29 on dinner
<u><em>Now the remaining paycheck amount left is:</em></u>
remaining paycheck amount left = 186.45 - 37.29 = 149.16
Thus Janet has remaining $ 149.16 in her paycheck