Answer:
x = 3 ±sqrt(6)
Step-by-step explanation:
6(x-3)^2-26 = 10
Add 26 to each side
6(x-3)^2-26+26 = 10+26
6(x-3)^2 = 36
Divide by 6
6/6(x-3)^2 = 36/6
(x-3)^2 = 6
Take the square root of each side
sqrt((x-3)^2) = ±sqrt(6)
x-3 = ±sqrt(6)
Add 3 to each side
x-3+3 =3 ±sqrt(6)
x = 3 ±sqrt(6)
60 POINTS BRAINLIES
PLEASE WORKOUT QUESTIONS a b & c
PHOTO OF GRAPH ATTACHED BELOW
a) Calculate the median number of medals for each medal type, stating the formula you would use for determining the median for the gold medals.
b) Calculate the mean number of medals for each of the 3 medal types, stating the formula you would use for determining the mean for the bronze medals.
c) Calculate the standard deviation of the total medals awarded to each country
(column F) using the formula below.
Show all the steps ( show your work ).
USE the STDEV.P function to cross-check your final answer.
Answer:
see below
Step-by-step explanation:
a) median : re-arranged the numbers in order. i.e. min to max
gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022
212 + 227 = 219.50
2
silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794
178 + 241 = 209.50
2
bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704
193 + 260 = 226.50
2
b) mean : sum of all numbers divide by n, where n=10
gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10
= 311.40
silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10
= 282.30
bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10
= 280.60
c) standard deviation on population (STDEV.P)
Australia = 16.44
china = 33.03
france = 19.74
germany = 30.21
great britain = 13.89
hungary = 12.04
italy = 11.44
soviet union = 48.46
sweden = 13.47
united states = 133.84
Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW
Answer:
C= -5t+30
The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.
Step-by-step explanation:
Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12
Answer: -8x + 12
Step-by-step explanation:
12 will be y-intercept because it crosses the y-axis.
-8 will be slope because it is the rate of change.
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?
Answer:
48, 60 and 72
Step-by-step explanation:
Given;
The ratios of the angle in the triangle = 4:5:6;
Unknown:
The angle of the triangle = ?
Solution:
We must understand that the sum of angles in a triangle is 180°
So as ratios; 4:5:6 denotes some certain multiples that sums up to 180°
Let the multiple number = x; so
4x : 5x : 6x
4x + 5x + 6x = 180
15x = 180
= 12
The angles in the triangles are:
4(12) : 5(12) : 6(12)
48 : 60 : 72
These angles are 48, 60 and 72
Please help asap will give brainliest to first correct answer
Answer:
29
Step-by-step explanation:
They are linear pairs so they add up to 180
6x+6=180
6x=174
x=29
1+1+1=????????????? pls help
Answer:
3
Step-by-step explanation:
If the probability that it will rain tomorrow is 0.39 what is the probability that it will not rain tomorrow
Answer:
0.61
Step-by-step explanation:
probability is out of 100 so if you do 100-39
you get 61
Is the expression 6+3=9 an equation? Explain.
Answer:
No, 6+3=9 is not an equation.
Step-by-step explanation:
The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.
Use the zero product property to find the solutions to the equation x2 – 9 = 16.
x = –3 or x = 3 x
= –6 or x = –3 x
= –5 or x = 5 x
= 7 or x = 1
x^2-9=16
x^2=16+9
x^2=25
[tex]\sqrt{x}[/tex]=±5
(-5 or 5)
Verification:
5^2-9=16
25-9=16
(-5)^2-9=16
25-9=16
Answer:
The answer is C x=-5 or x=5
Step-by-step explanation:
correct on edge nov 2020
find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not
Answer:
please find the solution:
Step-by-step explanation:
please find the correct question:
Given value:
[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]
[tex]\to 4x-2[/tex] should be divisible by 6 we are also given that [tex]0 \leq x < n[/tex] and start with x = 0
[tex]\to 4x-2[/tex] =-2 which is not divisible by 6
x= 1
[tex]\to 4x-2[/tex] = 2 not divisilble by 6
x= 2
[tex]\to 4x-2[/tex] = 6 which is divisible by 6
x=3
[tex]\to 4x-2[/tex] = 10 not divisible by 6
x=4
[tex]\to 4x-2[/tex] = 14 not divisible by 6
x=5
[tex]\to 4x-2[/tex] = 18 which is divisible by 6
so such x are x = 2 and x = 5
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
What is the image of (2,8) after a reflection over the line y = x?
PLS ANSWER FAST
Ended up getting the answer wrong because the other person this is the correct answer.
(8,2)
Enjoy and Happy Holidays :)
The image of (2,8) after a reflection over the line y = x is (8, 2).
The given coordinate is (2, 8).
What is a reflection over the line y=x?Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
When we reflect (2, 8) over the line y=x, we get the coordinate as (8, 2). Because the x-coordinate and y-coordinate changed places.
Therefore, the image of (2,8) after a reflection over the line y = x is (8, 2).
To learn more about the reflection over the line y = x visit:
https://brainly.com/question/18376051.
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Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
A television costs $400 to purchase. Renting the same telension
requires making a $50 non-refundable deposit plus monthly payments of
$25. After how many months will the cost to rent the television equal the
cost to purchase it
Answer:
14 months
Step-by-step explanation:
400 dollars to purchase tv
50 dollars down already in renting television
400-50=350 dollars
350 dollars/ 25 dollars each month for television=14 months
1 year 2 months
Hope this helps!
The number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.
Given that, a television costs=$400. Renting the same television requires making a $50 non-refundable deposit plus monthly payments of $25.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, 400 dollars to purchase a television.
50 dollars down already in renting television
400-50=350 dollars
Number of months=350/25 =14 months
Therefore, the number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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Which point represents the opposite of –2?
Change the equation from standard form into vertex form by completing the square.
y equals x squared plus 14 x plus 53
In a square what is the relationship between the length and the side of the area?
Answer:
Length X width = area
Step-by-step explanation:
Hope this helps
f(x)=x+3
g(x)=2x
its combining funtions please help
NEED ANSWER ASAP! !!!
The ratio of the number of men to the number of women in a room is 7 : 4. There are 9 more men than women. How many people are there in the room?
Answer:
33 people
Step-by-step explanation:
7x = 4x + 9
3x=9
x=3
7(3) = 21
4(3) = 12
33 people
the triangle and rectangle have an equal perimeter x+5 for the triangle and 2x-3 for the rectangle
Answer:
Perimeter of triangle = 3(x + 5).
Perimeter of rectangle = 2(2x - 3) + 2x
We know that 3(x + 5) = 2(2x - 3) + 2x
So 3x + 15 = 4x - 6 + 2x, 3x = 21, x = 7.
Hence perimeter = 3(7 + 5) = 36.
Step-by-step explanation:
Which is the equation of the line in point-slope form with a slope m=6 and a point (-1,9)
Answer:
y-9=6(x+1)
Step-by-step explanation:
3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.
Answer/Step-by-step explanation:
Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.
When x = 1:
y = 3.2(1) + 5
y = 3.2 + 5
y = 8.2
When x = 2:
y = 3.2(2) + 5
y = 6.4 + 5
y = 11.4
When x = 4:
y = 3.2(4) + 5
y = 12.8 + 5
y = 17.5
You have the following table:
x | y
1 | 8.2
2 | 11.4
4 | 17.5
To find out if y is proportional to x, find the ratio of y to x of each pair in the table.
x | y | ratio of y to x (y/x)
1 | 8.2 | 8.2/1 = 8.2
2 | 11.4 | 11.4/2 = 5.7
4 | 17.5 | 17.5/4 = 4.375
As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Use the Properties of Equality to solve each equation.
4. b-3= -4
Answer:
b = -1
Step-by-step explanation:
Move all terms containing to the right side of the equation
:)
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write and inequality for the graph.
Answer:
Step-by-step explanation:
PLS ANSWER I WILL MAKE YOU BRAINLIEST!
Name the points which satisfy the conditions. A negative x-coordinate.
9514 1404 393
Answer:
B, C, G, H, L, M
Step-by-step explanation:
The points with a negative x-coordinate are the points that are to the left of the y-axis. They are ...
B, C, G, H, L, M
3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea
primo y termine en 3?
O a) 1/15
b) 2/90
c) 6/91
d) 9/90
Answer:
6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15
Step-by-step explanation:
Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
------------------------------
Una probabilidad es dada por la división de el número de resultados deseados por el número de resultados totales. Hay 90 números positivos de dos cifras.13, 23, 43, 53, 73, 83 son primos y terminan en 3, o sea, el número de resultados deseados es 6.Entonces:
[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]
Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
Un problema similar es dado en https://brainly.com/question/24583317