Answer:
Jane gave 132 parcels to Mo.
Step-by-step explanation:
Given total number of parcels both Jane and Mo have = 528.
Let the number of parcels having Jane and Mo be x and y respectively.
Now let the number of parcels Jane gives to Mo be z.
So the number of parcels Jane give to Mo is 132.
For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
<h3>What is exponential decay?</h3>During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an equation for radioactive decay:
a) Plug t = 0
m(0) = 400 grams
b) plug t = 20 years
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
x = 19.80 years ≈ 20 years
Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
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Answer:
Step-by-step explanation:
The given system of equations is now reduced:
1) ,
,
,
Given
2) By 1)
3) 2) in 1)
4) By 1)
5) 4) in 3)
6) Algebra
7) Algebra
8) 7) in 4)/Algebra
9) 7) and 8) in 2)/Algebra
10) 9), 1), 7) and 8)/Algebra/Result
z-score of a company is 5.
What is z- test?
A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.
The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.
Now, using z- score
z= (x-)/
z= 54000- 34000/ 4000
z= 20000/4000
z=5.
Hence, z-score of a company is 5.
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