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4 years ago

Suppose g(x) = f(x-2) + 3. Which statement best compares the graph of g(x)

Mathematics

1 answer:

Diano4ka-milaya [45]4 years ago

4 0

Answer:

The graph of g(x) is f(x) translated 3 units up.

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What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm,2 C. 46.8 cm

yarga [219]

Regular hexagons have all equal sides and angles
=((3cmx2.6)/2) x 6
=( 7.8/2) x6
= 3.9 x 6 The answer is B. 23.4cm
= 23.4

7 0

4 years ago

Read 2 more answers

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

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

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

4 years ago

Can anyone help just these four algebra problems?

pickupchik [31]

You would distribute multiply every thing inside the parenthesis by the number on the out side of it on the the left the go to the other side of the addition sign and do the same then combine like terms

8 0

3 years ago

Tell me the answer of these question.

Nonamiya [84]

$16. \ \ V= \pi r^2h \ \to \ r^2= \cfrac{V}{ \pi h} \ \to \ \boxed{r= \sqrt{ \frac{V}{ \pi h} } } \\ \\ \\ 17.\ \ d= \frac{1}{2} at^2 \ \to \ 2d= at^2 \ \to \ t^2= \cfrac{2d}{a} \ \to \ \boxed{t= \sqrt{\frac{2d}{a}}} \\ \\ \\ 18. \ \ S=180(n-2) \ \to \ \cfrac{S}{180}=n-2 \ \to \ \boxed{n= \frac{S}{180}+2 }$

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4 years ago

F(x) = 3x – 2 if f(x) =7

sergiy2304 [10]

Answer:

Step-by-step explanation:

3(7)-2

21-2=19

this explanation needs to be more than 20 characters so that's why I'm typing this sentence

6 0

3 years ago

Read 2 more answers