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3 years ago

6

Is there a transformation that maps shape I onto shape V?

1 answer:

DaniilM [7]3 years ago

8 0

Answer: Chocolate cake

Step-by-step explanation: I mean... Isn't it pretty clear?? Cho-co-late cake!!

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A poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of t

Ira Lisetskai [31]

Answer:

(0.5793, 0.6363)

Step-by-step explanation:

Given that a poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.

i.e. sample proportion p= $\frac{482}{793} =0.608$

$q=1-p = 0.392$

Std error of p = $\sqrt{pq/n} =0.0173$

For 90% Z crtiical = 1.645

Hence margin of error = 1.645 * std error = 0.0285

Confidence interval 90%

= proportion ±margin of error

= $(0.5793, 0.6363)$

3 0

3 years ago

Over a period of years, a certain town observed that the correlation between x, the number of people attending churches, and y,

goblinko [34]

No, it is a correlation not a causation.

4 0

3 years ago

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−1, 2). What is the length of Side

Molodets [167]

Answer:

3 units

Step-by-step explanation:

6 0

3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

Solve 2x + 8 < 10 or 2x + 8 > 20.

jasenka [17]

Answer:

x=1 or x=9

Step-by-step explanation:

make x the subject of the formula by correcting the right terms and then divid both sides by 2

4 0

2 years ago