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3 years ago

The volume of the prism shown in 60 cm Given the dimensions shown below, what would be the value of x ?

Mathematics

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

(3× - 2)(x - 1)

3x² - 3x - 2× -2

3x² - 5× - 2

3x² + × - 6× - 2

× (3x + 1) -2 (3× + 1)

(3× + 1) (× - 2)

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The amount of Jen’s monthly phone bill is normally

vredina [299]

Answer:

$P(19$

And we can find this probability with this difference and using the normal standard distribution

$P(-3$

Step-by-step explanation:

Let X the random variable that represent the amount of Jen monthly phone of a population, and for this case we know the distribution for X is given by:

$X \sim N(55,12)$

Where $\mu=55$ and $\sigma=12$

We are interested on this probability

$P(19$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

Replacing the info we got:

$P(19$

And we can find this probability with this difference and using the normal standard distribution

$P(-3$

7 0

4 years ago

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f(x)=sqrt(x) and g

SpyIntel [72]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see $\bf f(x)=\sqrt{x}\qquad 
\begin{array}{llll}
g(x)=&\sqrt{0.5x}\\
&\quad \uparrow \\
&\quad B
\end{array}$

so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
B = 1/2, thus the graph is stretched by twice as much.

8 0

3 years ago

Read 2 more answers

A 4-pound bag of potatoes costs $3.16 how much would 32 pounds of potatoes costs

zimovet [89]

Answer:

$25.28

Step-by-step explanation:

Since a 4 pound bag cost $3.16 you would do 32 divided by 4 and you would get 8. Then you would do 8 times 3.16 and you get 25.28.

The long way:
4 bags = 3.16
8 bags = 6.32
12 bags = 9.48
16 bags = 12.64
20 bags = 15.80
24 bags = 18.96
28 bags = 22.12
32 bags = 25.28

7 0

3 years ago

What is the basic metric unit of capacity <br> meter<br> gallon<br> gram <br> liter

Advocard [28]

Hoi!

The basic metric unit of capacity is a liter. :)

8 0

3 years ago

Read 2 more answers

Please help ! (only right answers please )!

Katen [24]

Answer:

Step-by-step explanation:

7 0

3 years ago