Which of the following would produce valid inferences when sampling a population?

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

TiliK225 [7]

<span>For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.</span>

8 0

3 years ago

Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers

enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0

3 years ago

$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$

So the amount after 21 years is: $66328.68

7 0

3 years ago

Please answer this question for points

alexgriva [62]

Answer:

Step-by-step explanation:

Slope-intercept form is y = mx + b

"m" is the slope, how steep the line is.

"b" is the y-intercept, where to graph hits the y-axis.

Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.

To find "m", use $m = \frac{rise}{run}$ between the two dotted points on the graph. The first point is always on the left.

<u>"Rise" means how many squares above</u> the first point the second point is.

Since the second point is below the first point, the number is negative.

<u>"Run" means how many squares to the right</u> the second point is.

$m = \frac{rise}{run}$

$m = \frac{-2}{1}$

$m = -2$

To find "b", look at where the graph it touching the y-axis.

The y-axis is the vertical line (going from top to bottom).

Count the number of squares from the grid's middle to the graph line.

There are 3 squares.

Since the graph touches below the origin, this is a negative number.

b = -3

In the boxes, you put negative two (-2) and negative three (-3).

* Usually we would simplify the equation to y = -2x - 3.

6 0

2 years ago

Josh has 36 postcards from national parks he visited. He wants to put them in a

Salsk061 [2.6K]

Answer:

He needs 9 pages

Step-by-step explanation:

8 will be full and 1 will have 2 extra

36 divided by 4

8 with 2 left over so 9 pages

6 0

2 years ago

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