Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age groups were surveyed about which plan they preferred. Find the probability that a randomly selected buyer preferred Plan A or was in the 40- to 49-year-old age group.
Answers
Answer:
0.677
Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
Related Questions
Solve four ninths minus four tenths equals blank.
Answers
Answer:
2/45
Step-by-step explanation:
To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of the
following equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independen
events, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the
#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus?
Answers
The probability that Renae writes a letter if she takes the #55 bus is 1/12
The buses are given as:
Buses: #41, #28, #55, #81
There are 4 buses of equal probabilities.
So, the probability that she takes the #55 is:
[tex]P(55)= \frac 14[/tex]
The activities are given as:
Activities: listening to her music player, writing a letter, or reading a book
There are 3 activities of equal probabilities.
So, the probability that she writes a letter is:
[tex]P(Letter)= \frac 13[/tex]
The probability that she does both independent events is:
[tex]Pr = P(55) \times P(Letter)[/tex]
So, we have:
[tex]Pr = \frac 14 \times \frac 13[/tex]
[tex]Pr = \frac 1{12}[/tex]
Hence, the probability is 1/12
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ANSWER FAST PLZ I REALLY NEED HELP :(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
Answers
Answer:
4 mph
Step-by-step explanation:
The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...
time = distance/speed
2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times
9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)
144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify
16 = c^2 . . . . . . . . . add c^2 -128
c = 4 . . . . . . . . . positive square root
The current was 4 mph that day.
16 liters to fraction
Answers
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges 3691 to rent trucks plus an additional fee of 225.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Answers
100.25x = 2005
x=20 <- the amount of sugar at the equilibrium point.
7500 + 100.50(20)
7500 + 2005
$9505 <- the cost at that point. ■
Jaiden weighs 120 pounds and is gaining ten pounds each month. Elijah weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Jaiden to weigh the same as Elijah?
Answers
Answer
It will take 5 months for Jaiden and Elijah to have the same weight
Step-by-step explanation:
120 + 10m = 150 + 4m
6m = 30
m = 5
Help rn have to get this done send answers
Answers
Answer:
D) 3 units
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Plzzzzz help meeeee plzzzz I really d answa
Answers
Answer:
c. is correct answer I think
in a school there are 542 girls and boys. how many pupils are there in that school?
Answers
Answer:
There are 1084 pupils in that school.
Step-by-step explanation:
If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.
Hope this helps!
Answer:
1084
Step-by-step explanation:
542+542
5-m=1.37 PLEASE HELP
Answers
Answer:
m = 3.63
Step-by-step explanation:
5-m =1.37
5-m-5 = 1.37-5
-m=-3.63
-m/-1=-3.63/-1
m= 3.63
Answer:
x = 3.63
Step-by-step explanation:
use elimination;
5 - m = 3.63
+5 +5
5 - 5 + 5 = 5
3.63 - 5 + 5 = 3.63
check answer:
5 - 3.63 = 1.37
therefore; x = 3.63
hope this helps!
Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?
Answers
Answer: The final balance is $982.47.
The total compound interest is $232.47.
Step-by-step explanation:
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answers
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
Which statement is true?
Which statement is true?
The equation -x2 + 6x + 9 = 0 has no real solutions
The equation -x2 + 6x - 9 = 0 has one real solution
The equation -x2 + 6x - 9 = 0 has two real solutions
The equation -x2 + 6x + 9 = 0 has three real solutions
Answers
Answer:
The equation -x2 + 6x - 9 = 0 has two real solutions.
Step-by-step explanation:
[tex] {b}^{2} - 4ac = {6}^{2} - 4( - 1)( - 9) = 0 [/tex]
The discriminant equals to 0, so the quadratic equation has 1 real solution.
Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x
Answers
Answer:
y=-6/5x
Step-by-step explanation:
Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?
Answers
Answer:
.2 kilometers
Step-by-step explanation:
Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers
Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7
A) y= 2x + 2
B) y = -1/2-1/2
C) y = 1/2x+1/2
D) y = - 1/2x+1/2
Answers
Answer:
B) y= -½x -½
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]
Slope of given line= -½
Since parallel lines have the same slope, slope of unknown line= -½.
y= -½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -1, y= 0,
[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]
[tex]0 = \frac{1}{2} + c[/tex]
[tex]c = - \frac{1}{2} [/tex]
Thus, the equation of the line is y= -½x -½.
URGENT
Evaluate the expression below for the given value
X^2+ 2x for x = -3
Answers
Answer:
-3×2+2×-3
-6+-6
-12
I think^=×
Answer: 3
Step-by-step explanation:
X^2+ 2x for x = -3
(-3)^2+ 2(-3)
(-3)(-3) -6
+9 -6
3
if f(x)=2x^2-1, then f(-3)=
Answers
Answer:
f(-3) =17
Step-by-step explanation:
f(x)=2x^2-1
Let x = -3
f(-3)=2(-3)^2-1
= 2(9) -1
= 18-1
17
Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.
Answers
= 0.8
Then multiply the decimal with 100
0.8 x 100
= 80
There fore the answer is 80%
Hope this helps!
Brainliest is much appreciated!
Answer:
I think it;s 9.8
Step-by-step explanation:
You divide 35 and 28 i think
which graph appears to show a proportional relationship between x and y
Answers
Answer:
What graph?
Step-by-step explanation:
No wonder why you have been waiting 25+ mins to get an answer
Hehhhhhhhhhhhhhheh eh
Answers
Help me please please
Answers
Answer:
a.11
b.20
c.44
d.5
e.60
f.12
g.4
h.40
i.900
j.6
Step-by-step explanation:
hope this helps
1. Name a midsegment in the triangle.
Answers
Answer:
EF
Step-by-step explanation:
Hope this helps!
Which sentence is correct?
A. -4 > 3
B. -4< -6
C. -4 > -7
D. -5 > -4
Answers
Answer:
C. -4 > -7
Step-by-step explanation:
answer= option C
Select the correct answer,
How does the figure verify the triangle inequality theorem?
Answers
Step-by-step explanation:
just think it through. it can only be the first option. the sides 7 and 4 are together 11, and they can only meet, when putting them flat on the 11 side. but yes, if you do that, they will meet, as 11 = 11.
the result would be an extreme triangle : appearing just as one, flat line (length 11), the angles being 180°, 0° and 0°.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A.
What is the triangle inequality theorem?The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c(b+c) > a(c+a) > bSides 7 and 4 are together 11, and they can only meet when they are flat on the side with a length of 11 units. However, if you do this, they will meet touch overlap on each other since 11 units = 11 units.
This will result in an extreme triangle which will more of look more like a straight line and will have angles of measure as 180°, 0°, and 0°.
Learn more about the Triangle Inequality Theorem:
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Mr.Keaton planted 918 cornstalks there are 9 cornstalks in each row how many rows of corn did he plant
Answers
Answer:
I think 102 rows of corn
Step-by-step explanation:
918 ÷ 9 = 102
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.
Answers
Answer:
Step-by-step explanation:
R
The number of calories in 14 brownies is 233 calories.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
Hence, The number of calories in 14 brownies is 233 calories.
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Taylor left to walk the dog at
4:25. She got back at 5:00. How
long was the dog's walk?
Answers
Answer:
Taylor walked 35 minutes
Step-by-step explanation:
4:25
+:35
=5:00.
once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00
What is the slope of the proportional relationship, and how can I graph it?
Answers
Answer:
I would say 5.2 .
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
This expression is scientific notation for what number?
8. 10-6
Answers
Answer:
20-45 answer should be d good luck sorrybif im wrong