Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
Josiah's gross pay is %152.
<u>Step-by-step explanation:</u>
It is given that, Josiah expects a paycheck of $152 for working 20 hours during his first week at a grocery shop.
But, he receives only a check of $129.48
Now, it is asked to find which amount is his gross pay. To find the gross pay, one should known the meaning of the term "gross pay" in detail.
- Gross pay is defined as the amount of money the employees receive without any deductions on taxes.
- Net pay is known as the amount of money the employees take home after all deductions is carried out from the gross pay.
Therefore, in this case, the amount Josiah expects to received without any tax deductions is $152. This is his gross pay.
Josiah was given a paycheck of $129.48 to take home after all the deductions have been done from the gross pay of $152. Thus, it can be concluded that Josiah's gross pay is %152.
Answer:
39856
Step-by-step explanation:
100 × 398 + 56
39800 + 56
39856
The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern
X Given Predicted Residual value
1 3.5 4.06 -0.56
2 2.3 2.09 0.21
3 1.1 0.12 0.98
4 2.2 -1.85 4.05
5 -4.1 -3.82 -0.28
The residual value is calculated as follows using this formula: ( Given - predicted )
1) ( 3.5 - 4.06 ) = -0.56
2) ( 2.3 - 2.09 ) = 0.21
3) ( 1.1 - 0.12 ) = 0.98
4) (2.2 - (-1.85) = 4.05
5) ( -4.1 - (-3.82) = -0.28
Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .
attached below is the residual plot of the data set
hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )
learn more about residual plots : brainly.com/question/16821224