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3 years ago

A square pyramid has a base

Mathematics

1 answer:

ozzi3 years ago

4 0

Answer:

V≈25.06m³

Step-by-step explanation:

Unit Conversion:

a≈5.03m

h≈2.97m

Solution

V=a2h 3=5.032·2.97 3≈25.0551m³

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A random sample of 16 men have a mean height of 67.5 inches and a standard deviation of 2.22.2 inches. Construct a 99% confiden

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Answer: $\approx1.49$

Step-by-step explanation:

We know that the confidence interval for population standard deviation is given by :-

$\sqrt{\dfrac{(n-1)s^2}{\chi^2_{\alpha/2}}}$

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3 years ago

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sam

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Answer:

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

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Step-by-step explanation:

Explanation:-

Given data random sample of 46 bins, the sample mean amount was 49.9 pounds and the sample standard deviation was 3.641

The sample size 'n' =46

mean of the sample x⁻ = 49.9

Standard deviation of the sample S = 3.641

Confidence intervals:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })$

Degrees of freedom = n-1 = 46-1 =45

The tabulated value t₀.₉₆ = 1.794 ( from t-table)

$(49.9 - 1.794 \frac{3.641}{\sqrt{46} } ,49.9+ 1.794 \frac{3.641}{\sqrt{46} })$

(49.9 -0.9630 , 49.9+0.9630)

(48.937 , 50.863)

Conclusion:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

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