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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.

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Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr
Andrew [12]

Answer:

120 miles/6 hours = 20 mph. You need to do the same for the boat going with the current. 120 miles/ 5 hours = 24 mph.

Step-by-step explanation:

5 0
3 years ago
The probability that Brock scores a penalty kick is LaTeX: \frac{3}{10}3 10 . If he shoots 50 penalty kicks, how many "goals" ca
Feliz [49]

Answer:

15 goals out of 50 penalty kicks was scored by brock

Step-by-step explanation:

If Brock shoots 50 penalty kicks and the probability that he scores a penalty kick is 3/10, the number of goal brock is expected to make can be expressed as:

Number of goals scored = probability value * total penalty kicks taken

Number of goals scored = \frac{3}{10}*50

Number of goals scored = 15 goals

5 0
3 years ago
Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
2 years ago
Help me with this pls
melomori [17]
A and E, they are basically at the same point around
5 0
3 years ago
Find the value of x explain how you got your answer ​
aliya0001 [1]

Answer:

step 1: x+50+4x=90

the angle of a right-angled triangle is 90 degrees, therefore if we add everything together ,we could work out what x is.

step 2: x+50+4x=90

                  x+4x=50

                      5x=50

                        x=10

then you solve the equation, x is 10

4 0
2 years ago
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