Answer:
a) 0.34 = 35% probability that at least one member of a married couple will vote.
b) 0.7143 = 71.43% probability that a wife will vote
c) 0.0968 = 9.68% probability that a husband will vote
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for itens B and C. For item a, we treat the probabilities as Venn sets.
A) What is the probability that at least one member of a married couple will vote?
I am going to say that:
Event A: Husband votes.
Event B: Wife votes.
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
The probability that the wife will vote on the referendum is 0.28
This means that [tex]P(B) = 0.28[/tex]
The probability that both the husband and the wife will vote is 0.15.
This means that [tex]P(A \cap B) = 0.15[/tex]
At least one votes:
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]
[tex]P(A \cup B) = 0.34[/tex]
0.34 = 35% probability that at least one member of a married couple will vote.
B) What is the probability that a wife will vote, given that her husband will vote?
Here, we use conditional probability:
Event A: Husband votes:
Event B: Wife votes
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
Intersection of events A and B:
Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]
0.7143 = 71.43% probability that a wife will vote.
C) What is the probability that a husband will vote, given that his wife does not vote?
Event A: Wife does not vote.
Event B: Husband votes.
The probability that the wife will vote on the referendum is 0.28
So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]
Probability of husband voting and wife not voting:
0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]
0.0968 = 9.68% probability that a husband will vote
2. What is an interest that is computed on the
principal and then added to it?
A. Simple Interest
B. Compound Interest
C. Interest
D. Principal
Answer:
Step-by-step explanation:
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator
Answer:
Step-by-step explanation:
[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]
What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?
Answer: y= -6x -7
Step-by-step explanation:
Point slope formula : y-y1=m(x-x1)
y- (-1)=-6(x- (-1))
y+1= -6(x+1)
y+1= -6x-6
y+1-1=-6x-6-1
y=-6x-7
Standard from 6x+y=7
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
Please help me with this work
Answer:
1. (5y) = 35
2. (6y) = 1
3. (4y) = 2
4. (11y) = 15
5. 18, 24, 42, 60
The number of miles Henry rides his bike in 10 days is 60miles
Step-by-step explanation:
solve the system of equations 5x+3y=5 5x+7y=25
Answer:
(-2,5)
Step-by-step explanation:
WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!
Answer: it is 1.25
hope i helped
Answer:
1.25
Step-by-step explanation:
yeah
is 2/6 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
good luck, i hope this helps :)
a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated
Answer:
851,968
Step-by-step explanation:
26*8*8*8*8*8= 851,968
From the combination of codes, 851,968 employee ID codes can be generated.
Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Required number of codes = 26 * 8 * 8 * 8 * 8 * 8
= 851,968
Thus, from the combination of codes, 851,968 employee ID codes can be generated.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2
The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. the regular bottle holds 75% less. how many fewer fluid ounces does the regular bottle hold?
Answer:
9
Step-by-step explanation:
12×0.75=9
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.
Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
Help asaaaaaap guys
Answer:
-3.5,-3,-2 1/2,-2,2.5
Step-by-step explanation:
Least. Greatest
-3.5, -3, -2 1/2, -2, 2.5
The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.
Answer:
2 times became that's correct
Describe ways you can determine something is either linear or exponential. Be specific PLZ
also plz hurry i need help quick
3/4 + 3/5 how do you solve it
Answer:
3/4 + 3/5 = 1 7/20
Step-by-step explanation:
5 x 4 = 20
3/4 = 15/20
3/5 = 12/20
15/20 + 12/20 = 27/20 = 1 7/20
Answer: 1 7/20 (one and seven-twentieths)
Step-by-step explanation:
1) 3/4 = 15/20 and 3/5 = 12/20
2) 15/20 + 12/20 = 27/20
3) 27/20 = 1 7/20
Good Luck!
evaluate the expression 8 ÷ t when t= 4
Which is the value of the rational expression 6-x/x+5 when x=2
Answer:
4/7
Step-by-step explanation:
6-x/x+5 let us take x=2
6-2/2+5=4/7
hi can you please help me with my work
Answer:
The answer is 3 1/2 inches!
Step-by-step explanation:
Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?
Answer:
Step-by-step explanation:
6/9+x=7/10
x=7/10-6/9
when adding fractions both denominators must be equal, we’ll make them 90
x=(7/10)(9/9)-(6/9)(10/10)
x=63/90-60/90
x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3
x=(3/3)/(90/3)
x=1/30
2^x=1/128 solve the equation
Answer:
x = − 7
Step-by-step explanation:
y = 4.5*x^2-9*x+8.5;4.5;-9;8.5
-(((-9)^2-(4*4.5*8.5))/(4*4.5))
-(-9/(2*4.5))
4.5*0^2-(0*9)+8.5
(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))
24 - 3x Evaluate each expression if x = 5
Answer:
9
Step-by-step explanation:
24 - 3(5)
24 - 15
9
good luck, i hope this helps :)
Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.
Answer:
-4i
Step-by-step explanation:
Answer:
14i
Step-by-step explanation:
(-2+5i)-(-2+9i)
remove () because they are unneeded
-2+51--2+9i
-2+5i+2+9i
0+14i
14i
Please help me
What type of association does the graph show between x and y?
Answer:
Linear positive association
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches
What is the volume of the computer?
Answer:
10.8 in³
Step-by-step explanation:
2x2x2.7=10.8
Help me people u r my only hope!
Choose all of the values that are equivalent to -(1/3)
A. -1/3.
B. 1/-3
C. -1/-3
D. 1/3
E. -(-1/3)
Answer:
D)1/3 ?
Step-by-step explanation:
Maybe 1/3
Do some research, I guess it's D).
I hope that helps (:
1. The entire fraction is negative if the numerator or denominator are negative.
if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)
2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE
3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -
Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54
Answer is Option B) 50
9(6)-4
54-4
50
Someone please help me I’ll give out brainliest please dont answer if you don’t
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
Step-by-step explanation: