Answer:
19/20 is the correct answer
Micheal has saved 27 quarters from washing cars. Micheal has 675 cents
Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
Answer:
<em> 85% level of the confidence interval is</em>
<em>(26.337, 26.662)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by
Critical value Z₀.₁₅ = 1.036
<em> 85% level of the confidence interval is determined by</em>
( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)
