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3 years ago

5

Matthew wants to estimate the mean height of students attending his collage. He records the heigjts of 100 randomly selected stu

dents attending the college. What is the population?

1 answer:

Strike441 [17]3 years ago

5 0

Answer:

ned more info

Step-by-step explanation:

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The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side leng

Firlakuza [10]

Answer:

40 hope this helps have a great day

6 0

3 years ago

Read 3 more answers

Item 9 Find the annual interest rate. I=$562.50, P=$1500, t=5 yearsI=$562.50, P=$1500, t=5 years The annual interest rate is %.

Anton [14]

Hi there :-)
The formula of the simple interest is
I=prt
your question ask to find r which is interest rate you do that by dividing each side by (pt) to get
R=I÷pt
Now solve to get the interest rate
R=562.5÷(1,500×5)
R=0.075×100 multiply by 100 to get it as percentage
R=7.5%

Hope it helps:-)

4 0

3 years ago

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

The restriction is that the perimeter have to be 12 ft at most:

$P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12$

We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

3 years ago

Plz help me with this. Thank you!

Tresset [83]

Answer:

58 units

Step-by-step explanation:

$7 \times 10 = 70$

$6 \times 2 = 12$

$70 - 12 = 58$

4 0

3 years ago

Pls help me with this

Dafna1 [17]

Answer:

50, 10, (70 20 80 60 52 54 90 4 32 44 75 62 46 10 22 70 12 28 55 8 34 32 62 30 38 34 50 105

Step-by-step explanation:

The answer is that it is symettrical

6a. 6105

6b. 1560

7. I dont know this one im so sorry

6 0

2 years ago