1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
9

Suppose that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the cou

ples both the husband and the wife smoke. Is the smoking status (smoker or non-smoker) of the husband independent of that of the wife? Why or why not?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

Not independent

Step-by-step explanation:

Given that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the couples both the husband and the wife smoke.

Let A be the event that husbands smoke and B the event that wives smoke

Give that

P(A) = 0.30\\P(B) = 0.20\\P(A\bigcap B) = 0.08

To check whether A and B are independent it is sufficient to check

P(A\bigcap B)=P(A)P(B)

Right side=P(A)P(B)\\=0.3(0.2)\\=0.06

Left side = 0.08

Since two sides do not equal the two events are not independent.

You might be interested in
Simplify the expression below. 3c - 2cd - 8c + 7d
jolli1 [7]
<span>3c - 2cd - 8c + 7d
= -5c </span> - 2cd + 7d

hope it helps
3 0
3 years ago
Solve the triangle.<br><br> a = 10, b = 23, C = 95°
gayaneshka [121]
C² = a² + b² - (2ab * cosC) 
<span>c² = 10² + 23² - (2 * 10 * 23 * cos95) </span>
<span>c² = 100 + 529 - (460 * -.08715) </span>
<span>c² = 629 - (-40.1) </span>
<span>c² = 669.1 </span>
<span>c = 25.87 </span>

<span>(Sin C) / C = (Sin A) / A </span>
<span>(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 </span>
<span>(10 * Sin95) / 25.87 = Sin A </span>
<span>A = arcsin ((10 * sin95) / 25.87) </span>
<span>A = 22.65º </span>

<span>B = 180 - A - C </span>
<span>B = 180 - 95 - 22.65 </span>
<span>B = 62.35º </span>

<span>I hope this helps. Have a good day.</span>
3 0
3 years ago
ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
choli [55]
Hope this might help u

6 0
3 years ago
Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.
dusya [7]

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

(x + 6)² + (y - 9/2)² = 100

3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

4 0
3 years ago
What is the value of y when line m is parallel to line n?
kvasek [131]
Angles B and D are supplementary angles, so if B's angle is 30 degrees, then D's angle at y would be 150, since they have to add to 180.
In short, angle y = 150 
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the volume of a cube that has a side length of 16 yd?
    5·1 answer
  • Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5
    8·2 answers
  • 1. The point (3, -5) is reflected over the x-axis. What are the<br> coordinates of the new point?
    7·1 answer
  • How do I write 6000000000 in scientific notation?
    6·1 answer
  • A line represented by y = 2x − 3 and a line perpendicular to it intersect at R(2, 1). What is the equation of the perpendicular
    9·1 answer
  • What is the solution to the equation? <br> x – 19 = 1
    7·1 answer
  • Write an expression using exponents that represents the area of the figure in square centimeters
    12·1 answer
  • Find the area of the circle below. Use 3.14 for pi
    10·1 answer
  • The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of
    5·1 answer
  • 2 1 point
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!