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

What are the X^2 and p-values for the test?

A. X^2 = 4.85 p = 0.09


B. X^2 = 5.85 p = 0.88


C. X^2 = 4.85 p = 0.88


D. X^2 = 4.05 p = 0.09

Answers

Answer 1
Answer: The right answer for the question that is being asked and shown above is that: "B. X^2 = 5.85 p = 0.88." The answer that would be the appropriate type of test to investigate our hypothesis is that "B. X^2 = 5.85 p = 0.88." This is the correct answer.



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(05.02)An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches.
142.5 square inches
105 square inches
37.5 square inches
34 square inches

Answers

Answer:

(A) 142.5 square inches

Step-by-step explanation:

It is given that A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches that is:

DE=5in, EC=7.5in, EB=14in

Now, area of the two top triangles of the kite=2((1)/(2){*}EC{*}DE)

=EC{*}DE

=7.5{*}5

=37.5 square inches

Also, area of the two bottom triangles of the given kite=2((1)/(2){*}EC{*}EB)

=EC{*}EB

=7.5{*}14

=105 square inches

Therefore, the total area of the kite=area of the two top triangles of the kite+area of the two bottom triangles of the given kite

=37.5+105

=142.5 square inches.

Determine the type and number of solutions of 7x^2+3x+8=0

Answers

7x^2+3x+8=0 \n \na =7, \ b=3 ,\ c=8 \n \n\Delta =b^2 - 4ac = 3^2 -4\cdot 7\cdot 8=9-224=-215\n \n Answer : \ \Delta \ is \ negative,\ this \ gives \ two \ imaginary \ solutions


7x^2+3x+8=0\n\n \Delta=3^2-4\cdot7\cdot8=9-224=-115\ \ \Rightarrow\ \ \ no\ real\ solution\n\n\ two\ complex\ solutions\n\n\Delta=-115=115\cdot i^2\ \ \ \Rightarrow\ \ \ √(\Delta) = √(115)\ i\n\nx_1= (-b- √(\Delta) )/(2a) = (-3- √(115)\ i)/(2\cdot 7) = (-3- √(115i))/(14)\n\nx_2= (-b+ √(\Delta) )/(2a) = (-3+ √(115)\ i)/(2\cdot 7) = (-3+ √(115)\ i)/(14)

How many quarts in 24 pints?

Answers

There are 12 quarts in 24 pints.
:)
There are 12 Quarts in 24 pints!
Your welcome:-)

A point is represented by a: line dot square none of the above

Answers

It's represented by a dot.
Yeah, its represented by a dot.

Marlin's marble jar had 36 red marbles and 64 blue marbles. What was the ratio of red marbles to blue marbles in the jar?

A.
1 : 2

B.
9 : 16

C.
2 : 3

D.
3 : 4

Answers

36:64=9:16
36:64 because 36/4=9 and 64/4 = 16

9:16

A cone has a circular base with a diameter of 18 inches. the height of the cone is 40 inches. what is the approximate lateral area of the cone? use 3.14 for π and round to the nearest whole number. 565 square inches 580 square inches 1,131 square inches 1,159 square inches

Answers

The lateral area of a cone is expressed as:

Lateral surface area of a cone: L = πrs = πr√(r^2 + h^2)
                                                        
L = π(9)√(9^2 + 40^2)
                                                        L = 1159.248 

Therefore, the correct answer is the last option. Hope this answers the question. Have a nice day.

To solve this problem, we have to use the formula of lateral surface area of a cone and substituting the values into the formula and then solve.

The lateral surface area of this cone is 2260.8in^2

Lateral Surface Area of a Cone

The lateral surface area of a cone is calculated using

L_a = 2\pi rh

The data in the question are

  • diameter = 18in
  • radius = 9in
  • height = 40
  • π = 3.14

Let's substitute the values into the equation and solve

L_a = 2\pi r h\nL_a = 2 * 3.14 * 9 * 40 \nL_a = 2260.8in^2

The lateral surface area of this cone is 2260.8in^2

Learn more on lateral surface area of a cone here;

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