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3 years ago

A study at a major university concluded that many students are cheating.

Mathematics

1 answer:

marshall27 [118]3 years ago

7 0

The answer is a) 1500 because when you divide 675 (the given number of students that cheated on 1 to 7 courses) by 1500 you get .45 or 45%.

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What is the median of this group of numbers?

sleet_krkn [62]

Answer:

Step-by-step explanation:

40 is in the middle there are three numbers to either side

3 0

2 years ago

Read 2 more answers

g A window is being built and the bottom is a rectangle and the top is a semi-circle. If there is 12 meters of framing materials

photoshop1234 [79]

Answer:

Semicircle of radius of 1.6803 meters

Rectangle of dimensions 3.3606m x 1.6803m

Step-by-step explanation:

Let the radius of the semicircle on the top=r

Let the height of the rectangle =h

Since the semicircle is on top of the window, the width of the rectangular portion =Diameter of the Semicircle =2r

The Perimeter of the Window

=Length of the three sides on the rectangular portion + circumference of the semicircle

$=h+h+2r+\pi r=2h+2r+\pi r=12$

The area of the window is what we want to maximize.

Area of the Window=Area of Rectangle+Area of Semicircle

$=2hr+\frac{\pi r^2}{2}$

We are trying to Maximize A subject to $2h+2r+\pi r=12$

$2h+2r+\pi r=12\\h=6-r-\frac{\pi r}{2}$

The first and second derivatives are,

Area, A(r) $=2r(6-r-\frac{\pi r}{2})+\frac{\pi r^2}{2}}=12r-2r^2-\frac{\pi r^2}{2}$

Taking the first and second derivatives

$A'\left( r \right) = 12 - r\left( {4 + \pi } \right)\\A''\left( r \right) = - 4 - \pi$

From the two derivatives above, we see that the only critical point of r

$A'\left( r \right) = 12 - r\left( {4 + \pi } \right)=0$

$r = \frac{{12}}{{4 + \pi }} = 1.6803$

Since the second derivative is a negative constant, the maximum area must occur at this point.

$h=6-1.6803-\frac{\pi X1.6803}{2}=1.6803$

So, for the maximum area the semicircle on top must have a radius of 1.6803 meters and the rectangle must have the dimensions 3.3606m x 1.6803m ( Recall, The other dimension of the window = 2r)

5 0

3 years ago

2x+y=5 solve for y (please show work)

nasty-shy [4]

Answer:

subtract y from both sides

y=-2x+5

Step-by-step explanation:

3 0

3 years ago

Your subtotal at the store was $58.89. You have a 30% off coupon. If the sales tax rate is 5.5%, what is the total price for you

Mars2501 [29]

Answer:

$43.48

Step-by-step explanation:

58.89x.30=17.68

58.89-17.68=41.21

41.21x.055=2.27

41.21+2.27= $43.48

4 0

3 years ago

Read 2 more answers

How do i write, Two increased by three equals the quotient of ten and two. Use x to represent any unknown number?

inn [45]

Answer:

$2+3=\frac{10}{2}$

Step-by-step explanation:

we know that

The phrase " Two increased by three equals the quotient of ten and two" is equal to the algebraic expression

$2+3=\frac{10}{2}$

$5=5$ -----> is true

7 0

3 years ago