Answer:
(S - 3) + (X - 3) = B
Step-by-step explanation:
S = amount of shirts
X = amount of jeans
B = total amount she would pay
(S - 3) + (X - 3) = B
Answer: 34
Step-by-step explanation:
Year GDP
y (billion $)
1985 577
1986 577+ 3.2% of 577 = 577 * 1.032
1987 577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2
1988 577 * (1.032)^3
1989 577 * (1.032)^4
.... .... => model GDP = 577 * (1.032)^ (y - 1985)
Then, for GDP = $3.4 trillion = $3400 billion =>
3400 = 577 (1.032)^ (y - 1985)
Divide both sides by 577:
(1.032)^ (y - 1985) = 3400 / 577 = 5.892548
Apply logarith to both sides:
(y - 1985) log (1.032) = log 5.892548
=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years
=> y = 1985 + 56.3 = 2041.3
Answer: 2041
Answer: the value of population standard deviation is 3.87
Step-by-step explanation:
From the information given,
Number of sample, n = 8
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
Since confidence interval = 2.694,
It becomes
2.694 = 1.96 × standard deviation/√8
Dividing both sides of the equation by 1.96, it becomes
1.37 = standard deviation/√8
Standard deviation = 1.37 × √8
Standard deviation = 3.87
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:
Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:
Substitute and simplify:
We can rewrite the second equation as:
Substitute:
Hence:
![\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B96%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:
In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.
