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yaroslaw [1]
2 years ago
7

Scientists want to test a new pair of running shoes. A speed test is performed with two separate groups of participants. The tre

atment group will wear the new pair of running shoes, while the control group will not. It is believed that age and height may affect speed. Which of the following would be most effective in controlling the confounding variables, such as age and height, in this study?
a. A completely randomized design experiment
b. A longitudinal observational study
c. A retrospective observational study
d. A matched-pair design experiment
Mathematics
1 answer:
Virty [35]2 years ago
8 0

Answer:

a. A completely randomized design experiment

Step-by-step Explanation:

An experiment that is completely randomised is practically an effective way of controlling and reducing the influence of the confounding variables in a research study, especially when you have a sample that is large enough.

Randomisation will ensure that both the group that will wear the new shoe (treatment group) and the group that will not wear the new shoe (control group) will have averagely the same values for age and height. This will eliminate the chances of these confounding variables of correlating with the independent variable in the study, as there would be no difference, in terms of characteristics, between both groups.

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Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j
MA_775_DIABLO [31]

Answer:

Jada walked 13\ miles

Elena walked 9\ miles

Lin walked 15\ miles

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

x+y+z=37 -----> equation A

x=y+4 -----> y=x-4 ------> equation B

z=x+2 ------> equation C

Substitute equation C and equation B in equation A and solve for x

x+(x-4)+(x+2)=37

3x=37+2

3x=39

x=13\ mi

Find the value of y

y=13-4=9\ mi

Find the value of z

z=13+2=15\ mi

therefore

Jada walked 13\ miles

Elena walked 9\ miles

Lin walked 15\ miles

3 0
3 years ago
Simplify 3x²y³ over 12x⁶y
Svetllana [295]

Answer:

12x^6y

Step-by-step explanation:

7 0
3 years ago
PLEASE CAN SOMEONE find the value of the trigonmetric ratio
VashaNatasha [74]
For this case we have the following trigonometric relationship:
 sine (x) = C.O / h
 Where,
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Substituting values:
 sine (C) = 9/41
 Answer:
 
the value of the trigonometric ratio is:
 
sine (C) = 9/41
5 0
3 years ago
8x-29 + 6x-11 + 3x-1 solve for x
elena-s [515]

Answer:

Step-by-step explanation:

I need help on this too.

5 0
3 years ago
Read 2 more answers
List all possible rational roots. Then use synthetic division to confirm which rational roots exist:
Kisachek [45]

Answer:

\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term  and q is a factor of the leading coefficient.

\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}

In your function, the constant term is -10 and the leading coefficient is 2, so

\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0
3 years ago
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