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Valentin [98]
4 years ago
15

High cholesterol level in people can be reduced by exercise or by drug treatment. A pharmaceutical company has developed a new c

holesterol-reducing drug. Researchers would like to compare its effects to the effects of the cholesterol-reducing drug that is currently available in the market. Volunteers who have a history of high cholesterol and who are currently not on medication will be recruited to participate in a study. a) Explain how you would carry out a completely randomized experiment for the study. b) Describe an experimental design that would improve the design in (a) by incorporating blocking. c) Can the experimental design in (b) be carried out in a double blind manner? Explain
Mathematics
1 answer:
Crazy boy [7]4 years ago
6 0
<span>a) Explain how you would carry out a completely randomized experiment for the study
- The volunteers will be listed alphabetically and assigned a number from 1 to n. Using the random selection method, select the persons at half of the population and assign them as the treatment group getting the new medication. The remaining population will be under the current medication. Measure everyone's cholesterol level and apply the needed medication for several months. Apply the process and compare the results.

</span><span>b) Describe an experimental design that would improve the design in (a) by incorporating blocking</span><span>
- The best design would be to block by cholesterol levels (ie, High, Moderately High, Very High)

</span> c) Can the experimental design in (b) be carried out in a double blind manner? 
Yes, everyone in each block randomly assigned to a treatment so volunteers are not aware of the medication they are receiving while administrators do not know what medication they are giving.
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Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. Wh
lukranit [14]

Answer:

5

Step-by-step explanation:

We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.

-3x+(A)x=2x

We can simplify the equation if we add 3x to both sides, which then leaves us with this.

(A)x=5x

We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.

A=5

Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.

(x+1)(2x^{2}-3x+5)

If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.

2x^{3}-x^{2}+2x+5

8 0
3 years ago
What is 8.33333 as a fraction?
beks73 [17]
8 \frac{1}{3}

I only know this because I remember the common fractions, and 1/3 is .3333 repeating.
4 0
3 years ago
Read 2 more answers
The area of the shaded region to the nearest tenth is __________.
goldfiish [28.3K]

Answer: 380 ft^2

Step-by-step explanation:

Length of sides of square=25

Diameter of semicircle=25

Radius=r=25/2=12.5

π=3.14

Area of square=length x length

Area of square=25 x 25=625

Area of semicircle=0.5 x π x r x r

Area of semicircle=0.5 x 3.14 x 12.5 x 12.5

Area of semicircle=245.3125

Area of shaded portion=area of square - area of semicircle

Area of shaded portion=625-245.3125

Area of shaded portion=379.6875

Area of shaded portion=380ft^2

approximately

4 0
3 years ago
A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the
kramer

Answer:

18.73ft^3

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top=(side)^2=x^2

Area of one side face=l\times b=xy

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box=V=lbh=x^2y

Total cost=9(x^2)+5x^2+4(4xy)=14x^2+16xy

204=14x^2+16xy

204-14x^2=16xy

y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}

Substitute the values of y

V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)

Differentiate w.r.t x

V'(x)=\frac{1}{8}(102-21x^2)=0

V'(x)=0

\frac{1}{8}(102-21x^2)=0

102-21x^2=0

102=21x^2

x^2=\frac{102}{21}=4.85

x=\sqrt{4.85}=2.2

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

V''(x)=\frac{1}{8}(-42x)

Substitute the value

V''(2.2)=-\frac{42}{8}(2.2)=-11.55

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value  of x

y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft

Greatest volume of box=x^2y=(2.2)^2\times 3.87=18.73 ft^3

5 0
3 years ago
If y is directly proportional to x squared <br> and y = 3 when x = 2, what is y when x = 8?
Anestetic [448]

Answer:

<u><em>y = 63</em></u>

Step-by-step explanation:

<em>y is directly proportional to x²</em>

<em>As given,</em>

<em>when y = 3 => x = 2</em>

<em>So, 3 = 4 - 1</em>

<em>Which means the relation can be written as :-</em>

<em>y = x² - 1</em>

<em></em>

<em>Substituting x = 8</em>

<em>y = (8)² - 1</em>

<em>y = 64 - 1</em>

<u><em>y = 63</em></u>

5 0
2 years ago
Read 2 more answers
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