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daser333 [38]
2 years ago
6

Which of the following is an accurate description of Simpson's paradox?

Mathematics
1 answer:
docker41 [41]2 years ago
6 0
The answer to the question is a
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Find the simplified quotient. (2x^2 + 5x +3 / x^2 - 3x -4) / (4x^2 + 2x - 6 / x^2 - 8x + 16)
irinina [24]

ANSWER

\frac{x - 4}{2x - 2}

EXPLANATION

The given expression is;

\frac{2 {x}^{2}  + 5x + 3}{ {x}^{2}  - 3x - 4}  \div  \frac{4 {x}^{2}  + 2x - 6}{ {x}^{2}  - 8x + 16}

We factor to obtain;

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \div  \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}

Multiply by the reciprocal of the second fraction

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}

Cancel out common factors to get,

\frac{1}{1}  \times \frac{(x - 4)}{2(x - 1)}

\frac{x - 4}{2x - 2}

8 0
2 years ago
Read 2 more answers
A jet flying at 123 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 2
aev [14]

Answer:

The magnitude of the necessary lifting force is 7.95N

Step-by-step explanation:

Force = mv^2/r

mass (m) = 2.00105kg, velocity (v) = 123m/s, radius (r) = 3810m

Force = 2.00105×123^2/3810 = 30273.89/3810 = 7.95N

7 0
2 years ago
A species of horned beetle has a (starting) population size of 4000 individuals. Every month, 170 individuals are born. However,
erma4kov [3.2K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting population = 4000

Addition per month = 170

decline on population per month = 70

Increase rate in population per month (dt) :

Starting population = 4000

Number of births per month = 170

However, the population declines by 70 individuals each month

Hence,

Number of births - number of deaths(d) = 70

170 - d = - 70 ( decline?

170 + 70 = d

240 = d

d = number of deaths

Per capita death :

Total number of deaths per. Month / starting population

= 240 / 4000

= 0.06

8 0
1 year ago
A student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.16666....what fraction can
Elden [556K]

Let x = 1.66666... ....(1)

Multiply both sides of equation (1) by 10.

10x = 1.666666.... .... (2)

Multiply both sides of equation (1) by 100.

100x = 16.66666....... (3)

Subtract equation (2) from equation (3)

100x - 10x = 16.66666...- 1.66666...

90x = 15

x= \frac{15}{90}  = \frac{1}{6}

Hence, the required fraction form is \frac{1}{6} .... Answer.


3 0
2 years ago
Read 2 more answers
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
Sholpan [36]
Transpose all the terms in the left hand side of the equation. The equation then becomes,
                         8x²  - 22x - 6 =0
Divide both sides of the equation by 2,
                        4x² - 11x - 3 = 0 

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
                         x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
                        <em> x = 3 and x = -1/4
</em>
<em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
6 0
2 years ago
Read 2 more answers
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