55=18+0.004x
37=0.004x
9250=x
Answer:
27a^3b^8+8a^9b^12 (D)
Step-by-step explanation:
We are to determine which of the expression above in the options satisfy sum of a cube.
For an expression to considered sum of a cube, it must meet two conditions:
1) the expression would have same sign. It is mostly positive. If both are negative, the negative sign could be factored out.
2) Each of the term in the expression must be a cube. That is, each term must be the result of multiplying the same expression three times.
Let's check out the expressions in the options:
a) -27a^3b^6+8a^9b^12
The two terms in the expression have opposite signs
b) -9ab^6 +9610
The two terms in the expression havd opposite signs
c) 9ab^6 + 8a^12
The two terms in the expression have same signs. But 9ab^6 isn't a cube as we can't multiply a tern 3times to derive it, but 8a^12 is a cube.
d)27a^3b^8+8a^9b^12
The two terms in the expression have same signs (positive). 27a^3b^8 is a cube, 8a^9b^12 is also a cube
27a³b^8 = 3ab² × 3ab² × 3ab²
8a^9b^12 = 2a³b⁴ × 2a³b⁴ ×2a³b⁴
From the options above 27a^3b^8+8a^9b^12 is sum of a cube
The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/
=2.33*19.5/
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
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<h3>
<u>Explanation</u></h3>
- Given the system of equations.
- Substitute x = 4 in the first equation.
We have both x and y values. Therefore, we can answer in coordinate point form.
<h3>
<u>Answer</u></h3>
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