Answer:
<em>The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city</em>
(48.937 , 50.863)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given data random sample of 46 bins, the sample mean amount was 49.9 pounds and the sample standard deviation was 3.641
<em>The sample size 'n' =46</em>
<em>mean of the sample x⁻ = 49.9</em>
<em>Standard deviation of the sample S = 3.641</em>
<u>Confidence intervals:</u><em>-</em>
<em>The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city</em>
<em></em><em></em>
<em>Degrees of freedom = n-1 = 46-1 =45</em>
<em>The tabulated value t₀.₉₆ = 1.794 ( from t-table)</em>
<em></em><em></em>
(49.9 -0.9630 , 49.9+0.9630)
(48.937 , 50.863)
<u>Conclusion:</u>-
<em>The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city</em>
(48.937 , 50.863)
Answer:
Step-by-step explanation:
Given expression is,
f(x) = 8x³ - 6x² - 36x + 27
For zeros of the function,
f(x) = 0
8x³ - 6x² - 36x + 27 = 0
2x²(4x - 3) - 9(4x - 3) = 0
(2x² - 9)(4x - 3) = 0
(2x² - 9) = 0
x² =
x =
x =
Or (4x - 3) = 0
x =
Therefore, all zeros of the given functions are .
Answer:
10x+15+4y
Step-by-step explanation:
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
<h3>Properties of a square.</h3>
- All the sides are equal.
- Opposite sides are parallel to each other.
- The diagonal intersects at right angle.
Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
- c = hypotenuse
- a and b are other legs
Therefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
learn more on square here:brainly.com/question/12338379
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Answer:
They are not similar
Step-by-step explanation:
Angles dont match