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2 years ago

The time it takes to complete a test is

Mathematics

1 answer:

astra-53 [7]2 years ago

8 0

Answer:

<h2>The z-score is -3.08, approximately.</h2>

Step-by-step explanation:

The z-score is defined

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

Where $\mu$ is the mean, $\sigma$ is the standard deviation and $x$ the data value.

In this case, we have

$x=8\\\mu = 45\\\sigma=12$

Replacing values, we have

$Z=\frac{8-45}{12}=\frac{-37}{12} \approx -3.08$

Therefore, the z-score is -3.08, approximately.

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write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o

Alenkinab [10]

$\bf f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}\\\\
f(x)=&{{ A}} \left|{{ B }}x+{{ C}} \right|+{{ D}}
\\\\
--------------------\\\\$

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

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

with that template in mind, let's see,

$\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.

5 0

2 years ago

What is the volume of the rectangular prism? help asap

nalin [4]

Answer:

V=whl=3·9·7=189, Which is 189.

Step-by-step explanation:

6 0

2 years ago

There are 80 people waiting to tour the science museum. The tour guide takes 4 groups of 16 people each. The remaining people wi

Anna11 [10]

Answer:

16 people

Step-by-step explanation:

Given that :

Number of people to tour = 80

Number per group = 16

Number of groups = 4

Total number of people who make up the entire groups :

Number per group * number of groups

16 * 4 = 64

The number of people in the last tour group :

80 - 64

= 16 people

7 0

2 years ago

Which of the following is a way that citizens can directly influence law-making and public policy?

sweet [91]

Answer: A way citizens can directly influence the public policy is by following it or not. If there is a policy that no one agrees with, they will not follow it and show that the policy is wrong. When this is done, the policy will go away. That is how citizens can directly change this.

Step-by-step explanation:

6 0

2 years ago

The product 2 x 3/6 is shown by the fraction

Neko [114]

Answer:

2*3/6 (=2/6=3)

3/3 =1

Your answer is 1

3 0

2 years ago