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Flauer [41]
3 years ago
9

Calculate the volume of this regular solid. What is the volume of the rectangular prism

Mathematics
2 answers:
sineoko [7]3 years ago
8 0

What is the volume of the rectangular prism?

270 cm^3

Mariulka [41]3 years ago
6 0

The answer is 270cm cubed.

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What is the value of X in the trapezoid shown below?​
marysya [2.9K]
Answer: 17



Step by step : 146+2x=180
2x=34
X=17
4 0
3 years ago
I’m still confused on how to work the percentages
Serjik [45]

Answer:

13 is your answer

Step-by-step explanation:

it's the biggest number and more students like cats

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3 years ago
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Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the
Likurg_2 [28]

Answer:

(a)  moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, P(X)=\frac{1}{6}

(a) Moment generating function can be written as M_{x}(t).

M_x(t)=\sum_{x=1}^{6} P(X=x)

M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}

M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) Now, find E(X) \text { and } E\((X^{2}) using moment generating function

M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)

M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)  

\Rightarrow E(X)=\frac{21}{6}

M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)

M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)

\Rightarrow E\left(X^{2}\right)=\frac{91}{6}  

Hence, (a) moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right).

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

6 0
4 years ago
The function f(x) = 25(4)^x represents the growth of a bird population every year in a national park. Kyle wants to manipulate t
Natasha_Volkova [10]

f(x)=25(4)^{\frac{x}{2}} will be the function to calculate population every half year.

Further explanation:

The given formula is:

f(x) = 25(4)^x

In the given formula, x represents the amount of time in years. So, in order to convert the given function for yearly calculation of population, to find the population every half year the time will be converted into half. This means that instead of x, x/2 will be used.

So the new function will be:

f(x) = 25(4)^{\frac{x}{2}}

Keywords: Population growth, Population growth function

Learn more about population growth at:

  • brainly.com/question/10689103
  • brainly.com/question/118412

#LearnwithBrainly

6 0
3 years ago
Factor completely 5ab + 3ay + 5b + 3y. (5b + 3y)(a + 1) (5b − 3y)(a + 1) (5b + 3y)(a − 1) Prime
Katen [24]
<span>5ab + 3ay + 5b + 3y
a(5b + 3y) + 1(5b + 3y)
(a+1)(5b + 3y)
(5b + 3y)(a+1)</span>
7 0
3 years ago
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