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Natasha_Volkova [10]
2 years ago
5

A pyramid with a rectangular base has a volume of 105 cubic centimeters and a height of 15 centimeters. The length of the rectan

gular base is 7 centimeters. Find the width of the rectangular base.
Mathematics
1 answer:
Goryan [66]2 years ago
3 0

Answer:

Hey there!

V=lwh/3

315=lwh

315=15(7)w

315=105w

width=3

Hope this helps :)

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How to find (c,d,e)<br>Please do a step by step working.Thank you.
Natasha2012 [34]
(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
                   \frac{t + 1}{2} = y
Answer for (a): g^{-1}(t) =  \frac{t + 1}{2}

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
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solve for y: y =\frac{t - 3}{4}

Answer for (b): h^{-1}(t) = \frac{t - 3}{4}

(c)
g^{-1} ( h^{-1}(t)) =  g^{-1} (\frac{t - 3}{4})
replace all t's in the g^{-1}(t) equation with \frac{t - 3}{4}
 g^{-1} (\frac{t - 3}{4}) = \frac{ \frac{t-3}{4} + 1}{2}
= \frac{ \frac{t-3}{4} +  \frac{4}{4}}{2} = \frac{ \frac{t - 3 + 4}{4}}{2} = \frac{ \frac{t + 1}{4}}{2} =  \frac{t + 1}{8}
Answer for (c): g^{-1} ( h^{-1}(t)) = \frac{t + 1}{8}

 (d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
  t + 1 = 8y
\frac{t + 1}{8} = y
Answer for (e): inverse of h(g(t)) = \frac{t + 1}{8}
 
























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3 years ago
Choose the correct answer below.
Bumek [7]

Answer:

B. Descriptive statistics describes sets of data. Inferential statistics draws conclusions about the sets of data based on sampling.

Step-by-step explanation:

Let's explain on why the others are not,

A. Descriptive statistics is a characteristic or property of an individual experimental unit. Inferential statistics is the process used to assign numbers to variables of individual population units.

Descriptive statistics needs a set of data, not just an individual experimental unit, since it uses statistical methods like tendency, mean, median, mode, dispersion ranges, deviation, etc. That cannot be gathered from an individual set unit. In the same way, Inferential statistics, is about using a sample of data to infer, as the name says, behavior of larger groups, it doesn't assign numbers or variables, it studies behavior of samples, that being said, a variable might be "assigned" by testing an hypothesis, yet not from an unit, but from a set.

C. Descriptive statistics draws conclusions about the sets of data based on sampling. Inferential statistics summarizes the information revealed in data sets.

It is the complete oposite, Descriptive Statistics (DS), studies data to represent numerical analysis in charts and graphs, but not samples. While Inferential Statistics (IS), is about samples, and how they COULD represent a larger group.

D. Descriptive statistics are measurements that are recorded on a naturally occurring numerical scale. Inferential statistics are measurements that cannot be measured on a natural number​ scale; they can only be classified into one of a group of categories.

In IS, its not that the measurements cannot be measured on a natural number scale, it is that the size of the date is too large, so it needs to be broken down in order to be studied, it can have several categories but a smaller data set (thus a sample)

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The answer to this equation is C.
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