Answer:
9%
Step-by-step explanation:
Original area of the rectangle = length × width
= 62 × 48
= 2,976 m²
Diane area of the rectangle = length × width
= 60 × 45
= 2700 m²
Percent error = (original - estimated)/original × 100
= (2976 - 2700)/2976 × 100
= 276/2,976 × 100
= 0.0927419354838 × 100
= 9.2741935483870%
Approximately to the nearest whole percent = 9%
For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the 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?
C) What is the probability that a husband will vote, given that his wife does not vote?
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
I need help! ANSWER THIS QUICK
Answer:
Step-by-step explanation:
Diameter = 84 km
Radius = 84/2 = 42 km
Area of circle = πr²
= 3.14 * 42 * 42
= 5538.96 km²
What are the values of m and n in each right triangle
Someone help me with this.
Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.
Rachelle bought x pounds of fruit for
$2 per pound and a gallon of milk for
$3.79. She spent a total of $17.29. Write
an equation that can be used to find
how many pounds of fruit she bought.
Step-by-step explanation:
step 1. 2x + 3.79 = 17.29. this is the answer.
lions spend about 5/6 of their day sleeping. how many hours a day does a lion sleep? write an equation to model your work
Answer:
20 hours a day.
Step-by-step explanation:
( 5 / 6 ) x 24 = 20
We have 20 weeks left from school before the summer. How many days is left? Show me how you found the answer.
Answer:
140 days
Step-by-step explanation:
there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.
Hope this helps :)
A school bus can hold up to 60 gallons of fuel. Which inequality shows this, using g for the amount of fuel the bus can hold?
Answer:
the answer is .............a
Step-by-step explanation:
In the image shown, Line n is a transversal cutting parallel lines and m.
< 3 = x + 50
< 7 - 2x + 20
What is the measure of < 3?
A)
70°
B)
75°
C)
80°
D)
85
Answer:B) . 75°
Step-by-step explanation:dfghjkjhgfdfgty
Answer:
its 80
Step-by-step explanation:
i did it on usa test prep
Slove for the indicated variable in the literal equation. real answers
P = -3 - 4L - 6 for L
Given:
The equation is
[tex]P=-3-4L-6[/tex]
To find:
The formula for L.
Solution:
We have,
[tex]P=-3-4L-6[/tex]
It can be written as
[tex]P=(-3-6)-4L[/tex]
[tex]P=-9-4L[/tex]
We need to isolate variable L.
Adding 6 on both sides, we get
[tex]P+6=-4L[/tex]
Dividing both sides by -4, we get
[tex]\dfrac{P+6}{-4}=L[/tex]
[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]
[tex]-\dfrac{P}{4}-1.5=L[/tex]
Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].
Writing and Evaluating an Algebraic Expression Try it five more than the product of two and a number, decreased by seven; evaluate when a = 8
Answer:
7
Step-by-step explanation:
dont trust me i dont know the answer sry
Answer:
ya
Step-by-step explanation:
In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
A can of tomato soup has a circular base with a diameter of 7 cm. If the surface area of the can is 104.3 cm. What is the height of the can?
Answer:
1.243 cm
Step-by-step explanation:
The surface area of a cylinder is the sum of the area of the two congruent circular bases and the rectangular lateral area.
[tex] SA = 2\pi r^2 + 2 \pi rh [/tex]
[tex] SA = 2\pi r(r + h) [/tex]
We are given the surface area and the diameter.
r = d/2 = 7 cm / 2 = 3.5 cm
We can solve for h, the height.
[tex] SA = 2\pi r(r + h) [/tex]
[tex] 2\pi r(r + h) = SA [/tex]
[tex] r + h = \dfrac{SA}{2\pi r} [/tex]
[tex] h = \dfrac{SA}{2\pi r} - r [/tex]
[tex] h = \dfrac{104.3~cm^2}{2(3.14159)(3.5~cm)} - 3.5~cm [/tex]
[tex] h = 1.243~cm [/tex]
Examine the diagram. It is not drawn to scale.
What is the m_3?
m_3=
Answer:
I think 12 I don't know if it's right or not but I tried
Answer:
its 105 :)
Step-by-step explanation:
its 100% correct <3
In the rectangle below what is X?
Answer:
X= 82°
Step-by-step explanation:
Since we know ∠DAB is 41°, we also know that ∠CBA is 41°, since they must be equal. This tells us that the bottom angle of that triangle must be 98°, since the sum of all interior angles must equal 180°. Since this angle is supplementary to x, we know that x must equal 82°.
We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied
was education level, which was recorded as 'illiterate," "primary," and "secondary." What type of
variable is education level in this example?
Answer:
Categorical data.
Step-by-step explanation:
Variables can be classified as:
Quantitative: If the variable assumes numeric values.
Categorical: If the variable assumes labels.
In this question:
'illiterate," "primary," and "secondary" are labels, which means that in this example, education level is an example of categorical data.
Education level is a type of categorical variable.
StatisticsA categorical variable is a quantity that has been measured on a nominal scale or on an ordinal scale, but whose values do not represent measurable quantities, so cannot be summed up into totals. The values that a categorical variable can take therefore only consist of names, whether or not the names of the categories to which the values belong.
Learn more about statistics in https://brainly.com/question/14781387
Please help due tonight will give good review and brainliest!
Answer:
True
Not true
true
True
Step-by-step explanation:
help help help help
thanks
Answer:
3, each number is being multiplied by a factor of 3
Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?
k would be located at
help with this please and thank you
*will mark brainliest*
Answer:25
13
Step-by-step explanation:
Answer:
Group A IQR = $700
Group B IQR = $400
Group A's IQR is Greater Than Group B's IQR, so the salaries in the middle 50% for Group A are More spread out than those for Group B.
Step-by-step explanation:
Subtract the minimum value from the maximum value of each group's big box on the graph to get their IQR's
40 ile 54 arasındaki asal sayıların toplamı acil!!!!!!!!!!
Answer:
Can you tell the question in english please
Answer:
46 47 48 49 50 51 52 53 54
1) Ellen Murphy manages an Auto Film outlet that
applies window films to automobile windows.
She reported that last week a total of 28 autos had
window film applied. Auto Film charges $129.99
for a four-door sedan and $99.99 for a two-door
coupe. If Ellen had total receipts for the week of
$3,459.72, how many four-doors sedans had been
serviced? How many two-door coupes?
Answer:
Four-door sedan = 22
Two-door coupes = 6
Step-by-step explanation:
This is an algebra problem.
Let "x" represent number of four-door sedan,
"y" represent two-door coupe.
Since there are total of 28 autos on which film is applied, we have:
x + y = 28 Equation 1
y = 28 - x Equation 2
Also provided,
Total revenue = $3,459.72
That means,
129.99x + 99.99y = 3,459.72 Equation 3
Putting value of "y" from Equation 2 in Equation 3 we have:
129.99x + 99.99(28 - x) = 3,459.72
129.99x + 2,799.72 - 99.99x = 3,459.72
30x = 660
x = [tex]\frac{660}{30} = 22[/tex]
Therefore, number of four door sedans = 22
Further y that is two door sedan = 28 - x = 28 - 22 = 6
A, C, E
A, C, D
B, D, E
C, D, E
Answer: A C and E (1st choice)
Step-by-step explanation:
You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
if the spinner is spun twice what is the probability that the spinner will stop on a vowel then a consonant?
Answer:
1/9 is correct
1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.
15x120 helppp what is this and how do u get the answer
Answer:
if this is regular multiplication the answer is 1,800
Step-by-step explanation:
At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.
Answer:
2, 70
Step-by-step explanation:
It is given that :
At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.
Therefore this gives the equation :
y = 5x +60 ..........(1)
At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.
So the equation will be :
y = 10x + 50.......(2)
Solving (1) and (2), we get
5x + 60 = 10x + 50
⇒ 60 - 50 = 10x - 5x
⇒ 10 = 5x
∴ x = 2
Now putting the value of x = 2 in equation (1), we get
y = 5x +60
y = 5(2) +60
y = 70
Therefore, (x, y) = (2, 70)
Which of the following is the slope of the line below?
O slope: m=1
O slope: m = 0
O slope: m = undefined
slope: m=3
Find the measure ZBCD in the
following parallelogram.
Answer:
I think the answer is 2
x=1
Step-by-step explanation:
2x=2x
divide
x=1
plug it in
1×2