Answer:
A. 3
B. 2.825
Step-by-step explanation:
Data obtained from the question include:
Number of bedrooms (x) > Frequency(f)
1 >>>>>>>>>>>>>>>>>>>>> 5
2 >>>>>>>>>>>>>>>>>>>> 10
3 >>>>>>>>>>>>>>>>>>>> 15
4 >>>>>>>>>>>>>>>>>>>> 7
5 >>>>>>>>>>>>>>>>>>>> 3
Mode =?
Mean average of bedrooms =.?
A. Determination of the modal average of bedroom.
The mode of a given set of data is the the value with the highest frequency.
Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3
B. Determination of the mean average of bedroom.
Mean = Σfx / Σf
Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)
Σfx = 5 + 20 + 45 + 28 + 15
Σfx = 113
Σf = 5 + 10 + 15 + 7 + 3
Σf = 40
Mean = Σfx / Σf
Mean = 113 / 40
Mean = 2.825
Therefore, the mean average of bedroom is 2.825
for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
What is the solution to 40+40-20•0+3+125=
Answer:
188
i think, i'm not that sure what the dot in. "20.0" is. i cant tell if its for mutiplcation or a decimal
The solution to an equation is the result of solving the equation
The solution to 40 + 40 - 20 . 0 + 3 + 125 is 208
The equation is given as:
[tex]40 + 40 - 20 \cdot 0 + 3 + 125[/tex]
Evaluate the products of 20 and 0
[tex]40 + 40 - 20 \cdot 0 + 3 + 125 = 40 + 40 -0 + 3 + 125[/tex]
Add the terms of the expression
[tex]40 + 40 - 20 \cdot 0 + 3 + 125 = 208[/tex]
Hence, the solution to 40 + 40 - 20 . 0 + 3 + 125 is 208
Read more about equations and solutions at:
https://brainly.com/question/13729904
Find f(2) if f(x) = (x+1)^2
Answer:9
Step-by-step explanation: f(2) ((2)+1)^2
Answer:
f(2) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = (x + 1)²
f(2) is x = 2
Step 2: Evaluate
Substitute in x: f(2) = (2 + 1)²(Parenthesis) Add: f(2) = 3²Exponents: f(2) = 9Geometry help please explain
Answer:
<A and <C
Step-by-step explanation:
If EA and EC are congruent, the angles <A and <C are also congruent
Answer:
angle A congruent to angle C
Write an equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form.
Answer:
Step-by-step explanation:
slope-intercept formula.. y= mx + b
so that's the form we want to get to
use the point-slope formula to get there y-y1 = m(x-x1)
m= slope and (x1,y1) is your given point
y-5 = 4(x-3.5)
y-4 = 4x - 14
y = 4x -14 +4
y = 4x -10
this looks like the slope-intercept form :)
The equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
The slope of the line = 4
The line passes through a point (3.5, 5)
We know the equation of the line that has slope m and y-intercept c:
y = mx + c
y = 4x + c (m = 3)
Point (3.5, 5) must satisfy the above line equation:
5 = 4(3.5) + c
c = -9 put this value in the line equation we get:
y = 4x -9
Thus, the equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
PLEASE HURRY!!!!!!
Express [tex](\frac{\sqrt{2} }{5} +\frac{5}{2}i)^{2}[/tex] in simplest a+bi form.
Expand the binomial:
(√2/5 + 5/2 i )² = (√2/5)² + 2i (√2/5) (5/2) + (5/2 i )²
… = 2/25 + √2 i + 25/4 i ²
… = -617/100 + √2 i
HELP I NEED THOS FASSTTTT A
What is the domain of the function?
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
domain -are all values of x
c -because x can take any value except 1
Factorise: (a^4 - 8a^2b^2 + 16b^4) -81
Answer:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
This can be written as the difference of 2 squares:
(a^4 - 8a^2b^2 + 16b^4) -81
= (a^2 - 4b^2)^2 - 81
=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]
= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
The factorized form of the given expression will be as:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The expression is given in the question as:
(a⁴ - 8a²b² + 16b⁴) - 81
We have to determine the factorized form of the given expression
As per the given question, the required solution would be as:
(a⁴ - 8a²b² + 16b⁴) - 81
This can be written as the difference between 2 squares:
⇒ (a² - 4b²)² - 81
⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]
⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ2
HELP DOES ANYONE GET THIS? This is my “math help” class and I still don’t understand
Answer:
there are dots outside of the allotted area
Step-by-step explanation:
I've never taken a math help class but from your paper one can assume you have to point out the error in the graph. Its a bit fuzzy so I cant see the numbers or labels but you take what you learned for how to graph and apply it here.
For example:
The dots should stay inside the graph. Not on the outside
The numbers that are on the side, the axis, they should all progress in a specific sequence. Like 2,4,6,8,10. It needs to stay constant. Not 2,4,6,8,19
Same for both x and y axis^
I'm not sure if that helps much with what your doing seeing as the instructions apply what you've already learned, but I hope you do good!
Diana's father is 28 years older then Diana. The sum of their ages is 64. How old is Diana ?
Answer:
Diana is 36
1
64
-
28
--------
3 6
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
64-28= 36
I think my math is right I hope this helps good luck!
Evaluate (−23)×(−23)3 by using the Laws of Exponents
Given:
[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]
To find:
The value of given expression by using the Laws of Exponents.
Solution:
We have,
[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]
Using the Laws of Exponents, we get
[tex]=\left(-\dfrac{2}{3}\right)^{1+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\left(\dfrac{-2}{3}\right)^{4}[/tex]
[tex]=\dfrac{(-2)^4}{(3)^4}[/tex] [tex][\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}][/tex]
[tex]=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}[/tex]
[tex]=\dfrac{16}{81}[/tex]
Therefore, the value of given expression is [tex]\dfrac{16}{81}[/tex].
Solve the following system of equations:
8x+14y=4
-6x-7y=-10
Answer:
(4,–2)
Took the quiz
2
Which of the following are within the solution to x + 28 > 50 ?
(Select all that apply.)
A 10
B
15
C 22
D
25
E
30
Answer:
25 , 30
Step-by-step explanation:
x > 50 -28
x > 22
x is greater than 22.
Answer:
Step-by-step explanation:
D and E because x must be greater than 23
Una maquina que fabrica tornillos produce un 3% de piezas defectuosas. Si hoy se han apartado 51 tornillos defectuosos cuantos tornillos ha fabricado la maquina?
Answer:
1700 tornillos
Step-by-step explanation:
Dado que la máquina produce un 3% de tornillos defectuosos en un día. Produjo 51 tornillos defectuosos en un día.
Deje que el número total de tornillos producidos ese día sea x
Por lo tanto;
3% de x = 51
3/100 * x = 51
x = 51 * 100/3
x = 1700 tornillos
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Circle 1=6x+2y
Rectangle 4 = 3x+y
Circle 4 = 5x
Step-by-step explanation:
4x+3y and 2x-y can be added to find result for the circle.
Let C1 represent circle 1
4x+3y+2x-y=C1\\
Combining\:like\:terms\\
4x+2x+3y-y=C1
6x+2y=C1
So, The result is: C1=6x+2y
Now, We need to solve:
Let R1 represent rectangle 4
x+4y + R1 = 4x+5y
R1=4x+5y-(x+4y)
R1=4x+5y-x-4y
R1=4x-x+5y-4y
R1=3x+y
So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y
Now, We need to solve the equation:
Let C4= Circle 4
2x-y+3x+y=C4
Combining the like terms
2x+3x-y+y=C4
5x=C4
So, Solving 2x-y+3x+y=C4 we get C4 = 5x
A student inscribes a triangle within a semicircle. What is the measure of
XYZ?
Answer:
Step-by-step explanation:
for a triangle inscribed in a semicircle that angle is always 90 degrees
9514 1404 393
Answer:
C. 90°
Step-by-step explanation:
A triangle inscribed in a semicircle is always a right triangle. The measure of angle Y, which subtends an arc of 180°, is half the measure of the arc it subtends, so is 180°/2 = 90°.
The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at
$4.00 each in order to meet that goal? Write, solve, and graph an inequality that represents this situation.
75 + 10x = 225 solve for x
Answer:
x = 15
Step-by-step explanation:
75 + 10x = 225
subtract 75 from both sides
10x = 150
divide both sides by 10
x = 15
Answer:
x = 15
Step-by-step explanation:
75 +10x = 225 Given
75-75+10x = 225-75 Subtract 75 from each side (to isolate x)
10x = 150 After
10x/10 = 150/10 Divided each side by 10 (to get the unite rate of x)
x = 15 Answer
John deposits $25 at the end of each month in a savings account with 6.4% annual interest compounded monthly. What is his account balance at the end of 15 years? *
Answer:
$ 65.13
Step-by-step explanation:
John deposits $25 at the end of each month in a savings account with 6.4% annual interest compounded monthly. What is his account balance at the end of 15 years? *
The formula for compound interest =
A = P(1 + r/n)^nt
Where
P = Initial amount deposited = $25
r = Interest rate = 6.4% = 0.064
n = number of times interest is compound = monthly = 12 times
t = time in years = 15 years
A = $25 × (1 + 0.064/12)^12 × 15
A = $65.13
His account balance at the end of 15 years is $65.13
solve the equation 2x+5=13 Graph the solutions, if possible.
Answer: x = 4
Step-by-step explanation:
Andrew wants to buy 3 video games that are $50 each. He earns $80 a week. In how many weeks will he have enough money to buy the games?
Group of answer choices
Answer:
He will have enough money after 2 weeks.
Step-by-step explanation:
If he wants to buy 3 video games that are $50 each, he would need $150. He makes $80 a week. By the second week, he will have earned $160, which is enough for all 3 games.
Find the slope of the line.
Print
12
10
9
4
2
1
0
.
5
2
12
5 6 7 8 9 10
The slope is
Turn it in
Answer:
The slope of the line is 3.
Step-by-step explanation:
Remember:
[tex]Slope = \frac{rise}{run} [/tex]
ASAP can someone help and explain this to me
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]BRAINIEST FOR THE FIRST ANSWER
Which could be his next step?
(3)(5) +
(1/5)+(3 (1)+() (1)
o (305) (
35) +(304)+(35)
+(5)
+
5+
Answer:
d
Step-by-step explanation:
The grocery store is having a sale. For every 3 sticks of butter purchased, customers receive 1 free wedge of cheese. If the Crazy 80s Baby Jr. Buys 12 sticks of butter, how many free wedges of cheese will she receive?
Answer:
4 free wedges of cheese
Step-by-step explanation:
From the above question:
3 sticks of butter purchased = 1 free wedge of cheese
12 sticks of butter purchased = x
Cross Multiply
3 × x = 12 × 1
x = 12/3
x = 4 free wedges of cheese
Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.
I’m bout to have a mental break down can some one help
Me with this question pls
Answer:
X=3
Step-by-step explanation:
Give the other person the brainliest since they asked for it >> also I saw your had ray as your pfp yesssss
Use _________ to isolate the variable.
A
reciprocals
B
subtraction
C
an expression
D
inverse operations
Answer:
Answer: D) inverse operations
Subtraction is the inverse operation of addition
Step-by-step explanation:
please mark as brainliest!!
what is three-fourths times a square of a number
just write the equation
Answer:
3/4(x^2)
Step-by-step explanation:
........................
The highest point in a park is 235 feet above sea level. The lowest point is 32 feet below sea level. What is the distance between the highest and lowest points in the park? _____ feet
Answer:
The distance between the points is equal to 267 feet
Step-by-step explanation:
In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........
235 - (-32) = 235 + 32 = 267
(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).
How much tax willl be added to the price of the car
Answer: See explanation
Step-by-step explanation:
You didn't give further information that will be useful in solving the question but let me help out.
Let's say the price of a car is $30,000 and the sales tax is 4%, the tax that will be added to the car would be:
= 4% × $30,000
= 4/100 × $30,000
= 0.04 × $30,000
= $1200