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Anuta_ua [19.1K]
3 years ago
12

The inside dimensions of a box are 12 inches long, 5 inches wide, and 2 inches deep. How many cubic inches does it contain?

Mathematics
1 answer:
diamong [38]3 years ago
7 0

The answer is 120 cubic inches.

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To estimate the mean of a population with unknown distribution shape and unknown standard deviation, we take a random sample of
Naddika [18.5K]

Answer:

t_{critical} = \pm 1.7793                        

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 64

Sample mean = 22.3

Sample standard deviation = 8.8

We want to estimate 92% confidence interval.

92% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,

Degree of freedom = n - 1 = 63

t_{critical}\text{ at degree of freedom 63 and}~\alpha_{0.01} = \pm 1.7793  

22.3 \pm 1.7793(\dfrac{8.8}{\sqrt{64}} ) = 22.3 \pm 1.95723 = (20.34,24.26)

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3 years ago
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The answer should actually be option B)

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f(x)= -4x^2+10x-8 what is the value of the discriminant of f how many distinct real number zeros does f have
Mazyrski [523]

Answer:

Step-by-step explanation:

The function is f(x) = -4x²+10x-8

Let Δ be our the dicriminant

  • Δ= b²-4ac
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  • Δ = 10²-4*(-4)(-8)
  • Δ = 100-128
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The value of the discriminant is -28 and since it is negative this function has no real zeroes

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The confidence interval is based on mean square error. T<span>he </span>mean squared error<span> (</span>MSE<span>) </span><span>of an </span>estimator<span> measures the </span>average<span> of the squares of the </span>errors<span> or </span>deviations.<span> MSE is calculated by the formula attached in the picture, where Xbar is a vector of predictions, X is the vector of predicted values. </span>

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