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Phantasy [73]
3 years ago
6

A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table b

elow. We wonder if there is an association between gender and party affiliation. Which of the following would be the appropriate type of test to investigate our hypothesis?
( Democrat / Republican / Independent )
Male= ( 36 / 45 / 24 )
Female= ( 48 / 33 / 16 )

At the α = .10 level, what is the correct conclusion for the test? Question 4 options:

A. There is an association between gender and party affiliation.
B. There is no association between gender and party affiliation.
C. Males tend to be Republicans.
D. No conclusion can be made.
Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
The correct answer for the question that is being presented above is this one: "B. There is no association between gender and party affiliation." At the α = .10 level, the correct conclusion for the test is that <span>B. There is no association between gender and party affiliation. </span>
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Which statement about sqrt x- sqrt (x-5) =1 is true? x = 4 is a true solution. x = 4 is an extraneous solution. x = 9 is a true
ElenaW [278]

Answer:

x = 9 is a true solution

Step-by-step explanation:

Given:

√x - √(x - 5) = 1

This is irrational equation with next conditions:

x ≥ 0 and x - 5 ≥ 0  => x ≥ 0 and x ≥ 5 => x ≥ 5

√x - √(x - 5) = 1 => √x = 1 + √(x - 5)

now we will square both sides of equation and get:

x = x - 5 + 2 √(x - 5) + 1  => 2 √(x - 5 = x - x + 5 - 1 => 2 √(x - 5) = 4

now we will divide both sides with 2 and get:

√(x - 5) = 2

now we will square both sides of equation and get:

x - 5 = 4 => x = 4 + 5 = 9   => x = 9

since that this solution satisfies the given condition x ≥ 5 is accepted as final

x = 9

Check:

√9 - √(9 - 5) = 1  => 3 - √4 = 1  => 3 - 2 = 1  => 1 = 1   It's true

God with you!!!

3 0
3 years ago
From the set {30, 42, 84}, use substitution to determine which value of x makes the equation true.
Maru [420]
2,520/x = 60
x = 42, which means your answer is B.

2,520/42 = 60
8 0
2 years ago
Find the missing side length. Round to the nearest tenth.<br>15 cm<br>9 cm​
vazorg [7]
Using Pythagorean’s theorem
a^2 +b^2= c^2
We know
c=15
b=9
a=?
Sub that in the Pythagorean’s theorem
a^2+9^2 = 15^2
a^2 + 81 = 225
a^2= 225-81
a^2 = 144
a= square root of 144
a= 12

Therefore the answer is 12
5 0
3 years ago
Please Help me Check the image below!!!!!
WITCHER [35]

Answer:

First question:

The graph of  y=\frac{3-2x}{2-3x} has a vertical asymptote at x =  \frac{2}{3} and a horizontal asymptote at y =  \frac{2}{3}

Second question:

The graph of equation y=\frac{1-3x}{2+x} has a horizontal asymptote at y = -3 ⇒ C

Step-by-step explanation:

The vertical asymptotes will occur at the values of x for which make the  denominator is equal to zero

The horizontal asymptotes will occur if:

  • Both polynomials are the same degree, divide the coefficients of the highest degree terms
  • The polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote

First question:

∵ y=\frac{3-2x}{2-3x}

- To find the vertical asymptote equate the denominator by 0

   to find the value of x

∵ The denominator is 2 - 3x

∴ 2 - 3x = 0

- Add 3x to both sides

∴ 2 = 3x

- Divide both sides by 3

∴ \frac{2}{3} = x

∴ The graph has a vertical asymptote at x =  \frac{2}{3}

To find the horizontal asymptote look at the highest degree of x in both numerator and denominator

∵ The denominator and the numerator has the same degree of x

- Divide the coefficient of x of the numerator and denominator

∵ The coefficient of x in the numerator is -2

∵ The coefficient of x in the denominator is -3

∵ -2 ÷ -3 = \frac{2}{3}

∴ The graph has a horizontal asymptote at y =  \frac{2}{3}

The graph of  y=\frac{3-2x}{2-3x} has a vertical asymptote at x =  \frac{2}{3} and a horizontal asymptote at y =  \frac{2}{3}

Second question:

The graph has a horizontal asymptote at y = -3

<em />

<em>means the numerator and the denominator has same highest degree and the coefficient of the highest degree in the numerator divided by the coefficient of the highest degree in the denominator equal to -3</em>

  • In all answers the numerator and the denominator have the same highest degree
  • Lets look for the coefficients of x up and down to find which one gives quotient of -3

∵ In answer A the quotient is 1 because x up and down have

  coefficient 1

∵ In answer B the quotient is -\frac{1}{3} because the coefficient of x

   up is 1 and down is -3

∵ In answer D the quotient is -1 because the coefficient of x

   up is 3 and down is -3

∵ In answer C the quotient is -3 because the coefficient of x up

   is -3 and down is 1

∴ The graph of equation y=\frac{1-3x}{2+x} has a horizontal asymptote at y = -3

3 0
4 years ago
What is the decimal for 1 2
Rom4ik [11]

The decimal for 1/2 is 0.5

4 0
4 years ago
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