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3 years ago

A rectangular prism of volume 3200 mm has a rectangular base of 10 mm and width 8 mm. Find the height h of the prism

Mathematics

1 answer:

Orlov [11]3 years ago

4 0

Answer:

40 mm

Step-by-step explanation:

The rectangular prism of a rectangular box. The volume is given by the formula:

Volume of Rectangular Prism = length * width * height

Given Volume = 3200

Length = 10

Width = 8

We need to find height. So we plug in the given information and find the height, in mm. Shown below:

Volume = Length * Width * Height

3200 = 10 * 8 * Height

3200 = 80 * Height

Height = 3200/80

Height = 40 mm

The height (h) = 40 mm

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3 years ago

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3 years ago

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2 years ago

The researcher has limited resources. He sends 9 emails from a Latino name, and 14 emails from a non-Latino name. For the Latino

deff fn [24]

Answer: 38.41 minutes

Step-by-step explanation:

The standard error for the difference in means is given by :-

$SE.=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2}}$

where , $\sigma_1$ = Standard deviation for sample 1.

$n_1$ = Size of sample 1.

$\sigma_2$ = Standard deviation for sample 2.

$n_2$ = Size of sample 2.

Let the sample of Latino name is first and non -Latino is second.

As per given , we have

$\sigma_1=82$

$n_1=9$

$\sigma_2=101$

$n_2=14$

The standard error for the difference in means will be :

$SE.=\sqrt{\dfrac{(82)^2}{9}+\dfrac{(101)^2}{14}}$

$SE.=\sqrt{\dfrac{6724}{9}+\dfrac{10201}{14}}$

$SE.=\sqrt{747.111111111+728.642857143}$

$SE.=\sqrt{1475.75396825}=38.4155433158\approx38.41$

Hence, the standard error for the difference in means =38.41 minutes

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3 years ago