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.
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
18 of the 23 tables at Paul's Italian Restaurant are full. What is the ratio of the number of full tables to the number of empty tables?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer: 18:23
Step-by-step explanation:
Determine the value of the given expression -3 1/3×1 5/6
Answer: 6
Step-by-step explanation:
3
1
a−1−
2
1
b
=
3
1
⋅12−1−
2
1
⋅6 Replace a with 12 and b with 6.
=4−1−3
=0
The perimeter of the triangle is 20.6 centimeters. What is the unknown side length?
Answer:
OK so a triangle has 3 sides and the perimeter around it is 20.6 cm to find the unknown for the length of a side it would be 20.6 ÷3 which is = to 6.86 to 2 decimal places
Step-by-step explanation:
20.6÷3
= 6.86 cm to 2 dp
Plz help me, i need this done 2 get my phone back
Answer:
Step-by-step explanation:
4x = 3yz^2
4x/3y = z^2
To undo an exponent you root it.
[tex]\sqrt{4x/3y} = z[/tex]
I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.
Find the area of the shape
Answer:
400 [tex]ft^{2}[/tex] (Don't forget the square symbol!)
Step-by-step explanation:
For the triangle:
Base times height divided by 2.
8 x 25 = 200
200/2 = 100
For the regtangle:
Width times height.
25 x 12 = 300
Add them together, and you get:
100 + 300 = 400.
Answer:300
Step-by-step explanation:25*12=300
25
x12
50
250+50=300
Need help !!!!!!!!!!!!!!!!!!!
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent?.
The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
We have to determine,
What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
The equation given is,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details about the Quadratic equation refer to the link given below.
https://brainly.com/question/25960606
A product of a number and 6 is 26
Choose the answer:
A. n*6=26
B. 6+n =26
C. 6-n
D. 6-n=26
Answer:
A
Step-by-step explanation:
n is the number.
So n*6=26
Hey there!
Guide:
• Difference = Subtract
• Is = Equal to
• Product = Multiply
• Quotient = Divide
• Sum = Add
• Unknown number = a number that’s isn’t known yet
Question reads….
“ A [PRODUCT] of [a NUMBER] & 6 [is] 26”
RANDOM:
• Product is multiply/multiplication
• A number is unknown so we will label it as “n”
• 6 stays the same because nothing happened to it
• 26 is BEHIND the equal sign but nothing happens to it because nothing is being compared to it
ANSWER:
“n * 6 = 26”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Select all the correct answers.
Which equations represent functions?
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
Graph C
Step-by-step explanation:
Jane’s starting annual salary is $45,520. At the beginning of each new year, she receives a $1,580 raise. What will her salary be after 11 years?
Answer:
$62,900
Step-by-step explanation:
Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5
Answer:
(d) 3/5
Step-by-step explanation:
The equation ...
[tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]
can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.
[tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]
_____
Additional comment
"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.
What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units
Answer:
A. 2 units
Step-by-step explanation:
took the test and got it right
The radius of the circle is r = 2 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of the circle be represented as A
Now , the value of A is
( x - 7 )² + ( y - 10 )² = 4
The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation
Taking the square root of 4, we find that the radius of the circle is 2 units
Hence , the radius is r = 2 units
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ7
HELPPPPPPPPPPPPPpppp
8.722 / (-3.56)
Expand [tex]\frac{8.722}{-3.56}[/tex] by multiplying both numerator and denominator by 1000.
[tex]\frac{8722}{-3560}[/tex]
Reduce the fraction [tex]\frac{8722}{-3560}[/tex] to the lowest terms by extracting and cancelling out 178.
-[tex]\frac {49}{20}[/tex] = -2.45
help with math asap!
ty in advance :)
Answer:
2.108*10^3
Step-by-step explanation:
please help me to get the answers please read my questions
Answer: Where is the question.
Step-by-step explanation: Where is the question.
Graph 7x+y=10x-4.
Show your work and explain the method used to determine the graph.
The graph must pass through the y-axis at y = -4 with a positive slope of 3
Given the expression
7x+y=10x-4.Write the given equation in standard form to have:
7x+y=10x-4.
y = 10x - 7x - 4
y = 3x - 4
From the equation, the slope is 3 and the y-intercept is -4
The graph must pass through the y-axis at y = -4 with a positive slope of 3.
Learn more on equation of a line here: https://brainly.com/question/13763238
(50 x 40 / 4 + 20) + (50 / 2 + 25) =
Answer:
= 570
Step-by-step explanation:
Priority in order:
BracketX and /+ and -(50 x 40 / 4 + 20) + (50 / 2 + 25)
= (2000 / 4 + 20) + ( 25 + 25)
= ( 500 + 20) + ( 50 )
= ( 520 ) + 50
= 520 + 50
= 570
Evaluate223×225Give your answer as a mixed number in its simplest form.
Can someone please help me with this easy math problem
is it 3 pls help for brainly
Answer:
Step-by-step explanation:
First, let’s flip the first term.
2^-x = 8^2-x
we can take ^3 out of the 8 to simplify
2^-x = 2^3(2-x)
-x = 3(2-x)
Now we solve for x.
x = 6
Hope this helps!
What is the vertex of y = 2(x - 3)^2 - + 67
a) (-3. -6)
b) (3, -6)
C) (-3. 6)
d) (3, 6)
PLS HELP.
7) Find RQ
Answer:
are we doing ur homework
Step-by-step explanation:
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Answer:
The value of [tex]f(2) - g(7)=-58[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]
guys pls help with all the steps
Step-by-step explanation:
To solve both questions you will have to use the Pythagoras theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
c being the hypotenuse
so to find AB we say
[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]
To make AB the subject of the formula, we take PB over. Therefore:
[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]
now we just substitute
[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]
[tex] {ab}^{2} = 169 - 25[/tex]
[tex] {ab}^{2} = 144[/tex]
square root both sides of the equation
[tex]ab = 12[/tex]
We then use the same formula to find AQ(which is a hypotenuse)
[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]
[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {aq}^{2} = 144 + 81[/tex]
[tex] {aq}^{2} = 225[/tex]
square root both sides
[tex]aq = 15[/tex]
Write the equation of the line that passes through the point (4,5) and is perpendicular to the graph of y=2x-3
Hello there! :)
We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, make it negative, and flop it over:
2
-2
-1/2
So the slope of the line perpendicular to y=2x-3 is -1/2.
Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
Where
y1 is the y-coordinate of the point
m is the slope
x1 is the x-coordinate of the point
Now, let's plug our values into the equation:
y-y1=m(x-x1)
y-5=-1/2(x-4)
y-5=-1/2x+2
y=-1/2x+2+5
y=-1/2x+7
Hence, that is the equation of the line.
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
Simplify the following expressions using the laws of exponents.
Answer:
Salmat po sa lahat
Step-by-step explanation:
ako ay from pilipinas na padpad lng dito ^_^
Triangle 1 is composed of line segments AB, BC, and CA.Triangle 2 is composed of line segments DE, EF, and FD.The triangles are similar with a scale of 5:2.Select the true statement about the proportions of the sides.
Answer:
s**t i'ma be real i don'`t know i was doing imagine math and that question poped up on my quiz and i got it wrong
Step-by-step explanation:
I Don't Know
4(n-16)=16 this is my question and what I need help on
Answer:
n = 20.Step-by-step explanation:
4(n - 16) = 16=> 4n - 64 = 16=> 4n = 16 + 64=> 4n = 80=> n = 20Conclusion:
Therefore, n = 20.
Hoped this helped.
[tex]GeniusUser[/tex]