the sum of two numbers is 58 and the difference is 2. What are the numbers ?
28 and 30 is the answer
Consider the data set. 2, 3, 5, 6, 7
(a) Find the range.
(b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.)
(c) Use the defining formula to compute the population standard deviation σ. (Round your answer to two decimal places.)
Answer:
5 ; 2.07 ; 1.85
Step-by-step explanation:
Given the data:
2, 3, 5, 6, 7
The range : ( highest - lowest)
The range = (7 - 2) = 5
Sample standard deviation :
sqrt[Σ(x - m)²/ (n - 1)]
The mean (m) = Σx / n
n = sample size = 5
Σx / n ;
(2+3+5+6+7) / 5
= 23 / 5
= 4.6
[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / (5 - 1)
= 17.2 / 4
= 4.3
Sqrt(4.3) = 2.07
Population standard deviation :
sqrt[Σ(x - m)²/ n]
The mean = m = 4.6
n = sample size = 5
[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / 5
= sqrt(17.2 / 5)
= sqrt(3.44)
= 1.8547 = 1.85
Use algebra to solve the following question
7x + 3 = -11
Answer:
x = -2
Step-by-step explanation:
7x + 3 = -11
-3 -3 subtract both sides by 3
7x = - 14
7x/7 = - 14/7 divide both sides by 7
-14/7 = -2
Find the distance between the following points (1 , 6) and (13 , -3)
Answer:
15 units
Step-by-step explanation:
[tex]distance \: between \: 2 \: points \\ = \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]
Using the formula above, distance
[tex] = \sqrt{ {(13 - 1)}^{2} + {( - 3 - 6)}^{2} } \\ = \sqrt{ {12}^{2} + {( - 9)}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = \textbf{15 units}[/tex]
Salena has twice as many DVDs as Jolene,and Jolene has one third as many as Brodie.What fraction of the total DVDs has Salena?
Answer: 1/3
Step-by-step explanation:
Assume Jolene's DVDs are x.
Selena has twice as many DVDs as Jolene so Selena has 2x DVDs.
Jolene has 1/3 as many DVDs as Brodie which means that Brodie has 3 times as many DVDs as Jolene which is 3x.
Total DVDs = x + 2x + 3x
= 6x
Salena has 2x.
Fraction = 2x/6x
= 1/3
express 0.361 as a fraction
Answer:
361/1000
Hope I helped
Answer:
179/495
Step-by-step explanation:
x = 0.3616161.......... ---------------(I)
Multiply by 1000
1000x = 361.616161......
Multiply (I) by 10
10x = 3.616161........
1000x = 361.6161......
10x = 3.6161........ {Now subtract}
990x= 358
x = 358/990
x = 179/495
A box of 15 cookies costs $9. how much is one cookie?
Answer:
$0.6
Step-by-step explanation:
Divide 9 with 15, 9/15 = 3/5 = 0.6
help me again and explain how you got the answer thans
Please help me im not asking for much
Answer:
adding the two equations together
(1.5,8)
Step-by-step explanation:
8x=12
x=1.5
y=8
Answer:Looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool
Step-by-step explanation:
Need help ASAP 20 points
Answer:
It is D.
Step-by-step explanation:
Hoped this helped have an amazing day!
The Choi family wants to save money to travel the world. They purchase an annuity with a monthly payment of $65 that earns 4.5% interest, compounded monthly. Payments will be made at the end of each month. Find the total value of the annuity in 11 years.
Answer:
You can get an idea of how much guaranteed lifetime income a given amount of savings will buy by going to this annuity payment calculator. Today, for example, $100,000 would get a 65-year-old man about $525 a month in lifetime income, while that amount would generate roughly $490 a month for a 65-year-old woman.
Answer: $8966.10
Step-by-step explanation:
The monthly payment with interest is 67.925. Multiply that by 12 for the 12 months in a year. You should get 815.10 as your yearly payment. And finally multiply 815.10 by 11 for the 11 years. You should get 8966.10 as your final answer. I hope this helps!
PLEASE HELP PLEASE!!!!
Energy is the ability to do work or cause a change in something.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
It’s the definition of energy
what is the correct solution to (x+2)(x+5)
Answer:
x^2+7x+10
Step-by-step explanation:
multiply the first by first and first by second
multiply the second by first and second by second
plzz answerr!!!!
will mark as brainlist!!
Answer:
16160
Step-by-step explanation:
(2021#2020)= [tex]2021^2-2020^2=4041[/tex]
(2020#2019)=[tex]2020^2-2019^2=4039[/tex]
finally, (2021#2020)#(2020#2019)= [tex]4041^2-4039^2=16160[/tex]
Write the slope-intercept form of an equation of the line that passes through (a, - 4) is parallel to the graph of 4x - y = 2 y = - 1/4 * x + 4 y = 1/3 * x - 4 y = 4x - 4 D y = - 4 - 4
The first questions answer:
Given (0, -4), 4x - y = 7. I converted the equation into slope intercept form and I got: y = 4x - 7. Once I had gotten that I put (0, -4) and the equation into Point-Slope Form and solved it: y - (-4) = 4(x + 0), y + 4 = 4x, y = 4x - 4 is the slope intercept form of your equation and point :)
Carlos graphed f(x) = -3x + 8 and g(x) = 7x - 2 on
a coordinate plane. What is the solution of the functions?
1
1.5
3
5
Step-by-step explanation:
When f(x) = g(x), -3x + 8 = 7x - 2.
=> 10x = 10, x = 1.
The solution of the functions is 1.
The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2 graphed by Carlos is x = 1
The given functions graphed by Carlos are:
f(x) = -3x + 8
g(x) = 7x - 2
The solution to the functions is the point where the two functions intersect on the graph
To get the point where the two functions intersect, equate f(x) and g(x).
That is, f(x) = g(x)
-3x + 8 = 7x - 2
Collect like terms:
7x + 3x = 8 + 2
10x = 10
Divide both sides by 10
10x / 10 = 10/10
x = 1
The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2 graphed by Carlos is x = 1
Learn more here: https://brainly.com/question/20407814
write down properties of Square, Rectangle and Triangle with diagram.
Answer:
The answer is below
Step-by-step explanation:
Some of the Properties of a Triangle:
1. All interior angles combined is 180°
2. It has three sides, three angles, and three vertices
3. The combined length of any of the two sides is higher than the third sides
Some of the Properties of a Square
1. It has four sides and they are all equal
2. Each of its angles is at 90°
3. Its diagonals are equal
4. The diagonals bisect at 90°
Some of the Properties of a Rectangle
1. It has opposing sides that are parallel and equal to each other
2. Each of the interior angles is at 90°
3. The length of the diagonals is equal
4. It is quadrilateral
PLEASE HELP ASAP WILL GIVE BRAINLEIST
In triangle QRS, ∠Q and ∠S have the same measure. If m∠R = 58°, find the measures of ∠Q and ∠S. WORK PLEASE!!!
Use the table below to answer the following questions:
What is the slope? (Write only the number)
What is the y-intercept? (Write only the number)
Write a linear equation y=mx + b to represent the table:
Answer:
Y = x + 10
Slope - 1/2
y-intercept - (0,10)
Y = 2x + 12
slope 2/1
y intercept (0,10)
Y = 4 x + 14
Slope 4/1
Y intercept (0,14)
Step-by-step explanation:
I need help with my math please help ASAP.
Answer:
1 =30 km
1/3=7,5 km
5=150
Im not sure tho but should be fine
Answer:
1 =30 km 1/3=7,5 km5=150
Step-by-step explanation:
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the first one is B the second one is D and the last one is A
Step-by-step explanation:
please awnser asap asap
9514 1404 393
Answer:
h > 0, only integers
Step-by-step explanation:
One can only buy integer numbers of packages of hotdogs, so the domain is integer values.
Since we "must" buy more than 0 packages, the appropriate domain specification is ...
h > 0, only integers
Identify the graph of ƒ(x) = x2 + 6x – 7 from the choices below.
f(x) = x^2 + 6x - 7
y = x^2 + 6x - 7
y = (x - 1)(x + 7)
x + 7 = 0
x = -7
x - 1 = 0
x = 1
The x-intercepts are -7 and 1.
Since the leading coefficient is a positive, the graph will point upwards.
So, the graph of the function is D.
Answer:
Graph B. is correct
Step-by-step explanation:
Using the Multiplicative Inverse Property, what is the missing number in the following equation?
______ * 7/4 = 1
-7/4
4/7
7/4
-4/7
Answer:
7/4
Step-by-step explanation:
[tex]x\cdot \frac{7}{4}=1\\\\x\cdot \frac{7}{4}\cdot \frac{4}{7}=1\cdot \frac{4}{7}\\\\x\cdot 1 = \frac{4}{7}\\\\x=\frac{4}{7}[/tex]
Answer:
The answer is [tex]\frac{4}{7}[/tex].
Step-by-step explanation:
Due to the end result being 1, we can sufficiently say it is neither -7/4 nor -4/7, due to a positive number multiplied by a negative number always equating to a negative number.
Therefore, using the Multiplicative Inverse Property, we can find the result by dividing 1 over [tex]\frac{7}{4}[/tex]:
[tex]\frac{1}{\frac{7}{4}}[/tex]
[tex]= \frac{4}{7}[/tex]
Hence, the answer is [tex]\frac{4}{7}[/tex].
Hope this helped!
Joe wants to buy a game that cost $60. He already has $20 and makes $5 per dog he walks, how many dogs does he had to walk to make enough to buy the game
Answer:
8 dogs
Step-by-step explanation:
He already has $20 and the game costs $60.Each time he walks a dog he earn $5 so he needs to walk 8 more dogs(5×8=40)
Answer:
8 more dogs
Step-by-step explanation:
$60-$20 =$40
1 dog= 5 dollars
? =40 dollars
4o÷5=8
=8 dogs
What property is used to rewrite (x + 2)(y + 4z) as y(x +2) + 4z(x + 2)?
Associative Property of Addition
Commutative Property of Addition
Distributive Property
Associative Property of Multiplication
Answer:
its either c or d I think
Alexander reads 1/ 8
of a book each night. How long will it take him to read 3/ 4 of the book?
The graph of a linear equation has a slope of -2 of passes through (-4,3)
A. y=-2x-5
B. y=-2x+5
C. y=-2x-2
D. y=-2x+5
And came someone explain how it’s fine if not
Answer:
I think D. y= -2x+5....
2. Which equation shows the slope-intercept form of the line passing through
(0, 1) and (2, 0)?
A. y = -2X+1 B. y = x-1 C. y = 2X - 1 D.y=- x + 1
Which of the following expressions result in −4? Select three that apply. A −20⋅0.2 B −6⋅1.5 C −24⋅82 D −13⋅242 E 52⋅(−85) F 4⋅(−114)
Answer:
Which of the following expressions result in −4? Select three that apply. A −20⋅0.2 B −6⋅1.5 C −24⋅82 D −13⋅242 E 52⋅(−85) F 4⋅(−114)
Step-by-step explanation:
F 4-(-114)
Answer:
F 4-(-114)
Step-by-step explanation: