Let 's x the length of the pyramid:
V=x²*h/3
V=1024 and h=12
So x²*12/3=1024
==>x²=1024*3/12
==>x²=256
==>x²=16²
==> x=16 for (x=-16 must be exclude <0)
......brainpower pts pls
Answer:
19.63
Step-by-step explanation:
If the radius is 5 centimeters, then the area is just 3.14*5^2 / 4, which is 78.5/4. This is equal to 19.625. Rounding this give us 19.63 as the final answer
Answer:
<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>
<em>(2.91562, 3.04438)</em>
Step-by-step explanation:
<u><em>Step:1</em></u>
Given that the size of the sample 'n' = 10
Given that the mean of the sample (x⁻) = 2.98
Given that the standard deviation of the sample (s) = 0.09
Degrees of freedom = n-1 = 10 -1 = 9
t₀.₁₀ = 2.2621
<u><em>Step:2</em></u>
<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>


(2.98 - 0.06438 , 2.98 + 0.06438)
(2.91562 , 3.04438)
<u><em>Final answer:-</em></u>
<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>
<em>(2.91562, 3.04438)</em>
Answer:
Maggie's age is 13 years
Step-by-step explanation:
Let
x ------> Maggie's brother age
y ------> Maggie's age
we know that
x+y=43 ------ > equation A
x=3y-9 ------> equation B
substitute equation B in equation A and solve for y
(3y-9)+y=43
4y=43+9
4y=52
y=13
therefore
Maggie's age is 13 years