Answer:
= 3
Step-by-step explanation:
Add 6 to both sides of the equation 10 − 6 = 6 + 6
10x-6=6x+6 10x−6=6x+6
Simplify Add the numbers Add the numbers again 10 = 6 + 12
Subtract 6 from both sides of the equation
10 = 6 + 12
10−6=6+12−6
Simplify
Combine like terms
Combine like terms again
4 = 12
Divide both sides of the equation by the same term
4=12
[tex]\frac{4x}{4}[/tex] =[tex]\frac{12}{4}[/tex]
Simplify Cancel terms that are in both the numerator and denominator then Divide the numbers.
x = 3
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow:
87 91 86 82 72 91
60 77 80 79 83 96
Required:
a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals).
Answer:
a
[tex]\= x = 82 [/tex]
b
[tex]s = 9.64 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 87 91 86 82 72 91 60 77 80 79 83 96
Generally the point estimate for the mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{87 +91 + 86 + \cdots + 96}{12}[/tex]
=> [tex]\= x = 82 [/tex]
Generally the point estimate for the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{ \sum ( x_i - \= x )^2 }{ n -1 } }[/tex]
=> [tex]s = \sqrt{\frac{ ( 87 - 82 )^2 +( 91 - 82 )^2 + \cdots + ( 96 - 82 )^2 }{ 12 -1 } }[/tex]
=> [tex]s = 9.64 [/tex]
Part(a): The required mean is 82
Part(b): The required standard deviation is 9.639
Mean:
The mean is one of the measures of central tendency.
Part(a):
The formula for finding the mean is,
[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
Now, calculating the mean for the [tex]n=12[/tex] observation
[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]
Part(b):
The formula for the standard deviation is,
[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]
Substituting the given values into the above formula we get,
[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]
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This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answer:
(0,-26)
Step-by-step explanation:
0 -26
17 -39
34 -52
51 -65
68 -78
the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
Answer:
Between x = 48 and x = 45.
Step-by-step explanation:
Average rate of change of a function in the given interval is represented by,
Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
From the table attached,
Average rate of change of the function between x = 3 and x = 9
= [tex]\frac{16-7}{9-3}[/tex]
= 3
Average rate of change in the interval x = 9 and x = 22
= [tex]\frac{32-16}{22-9}[/tex]
= [tex]\frac{16}{13}[/tex]
= 1.23
Average rate of change in the interval x = 9 and x = 22,
= [tex]\frac{45-32}{45-22}[/tex]
= [tex]\frac{13}{23}[/tex]
= 0.57
Average rate of change in the interval x = 45 and x = 48,
= [tex]\frac{63-45}{48-45}[/tex]
= 6
Therefore, average rate of change is maximum between x = 45 and 48.
Option given in bottom right will be the answer.
Trevor paints 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence?
Answer:
5 days
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
9/2=4.5
rounded 5
Which statement about this equation is true?
3+x= 2–3x
The equation has no solution.
The equation has one solution.
The equation has infinitely many solutions.
x+y=k
x-y=k
The solution of the system shown is
O (OK)
O (0,0)
O (k, O)
Answer: (0,0)
Step-by-step explanation:
The only integer"s" that both add and subtract to the same value are 0 "and" 0. Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.
Of course, k will also be 0
So this system of equation works out to be
0 + 0 = 0
0 - 0 = 0
Solve 2y - 3 = 4y +6.
у
DONE
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y +6
subtract 2y from both sides: -3 = 2y +6
subtract 6 from both sides: -9 = 2y
divide both sides by 2: -4.5 = y
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y + 6
+3 + 3
2y = 4y + 9
-4y -4y
-2y = 9
divide by -2 to get -4.5
Dustin surveyed 50 students at his school about their music preferences. The results are in the table.
Music Preference Survey
Type of Music
Hip-Hop- 18
Country- 13
Rock- 11
Other- 8
There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?
A. 180 students
B. 240 students
C. 260 students
D. 405 students
Answer:
240
Step-by-step explanation:
260 students prefer hip-hop music.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
According to Dustin Survey Hip hop music liked by 18 out of 50
In percentage we can write
x% of 50= 18
50x /100 = 18
x/2 = 18
x= 36%
So, Out of 722 students number of students who prefer hip-hop music
= 36% of 722
= 36/100 x 722
= 260
Hence, 260 students prefer hip-hop music.
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Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She paid an initial fee of $50 when she joined and also pays $10 per month. Since becoming a member of the fitness club, Isabella has paid a total of $240. Use the drop-down menus to complete the statements about the length of time that Isabella has been a member of the fitness club. Click the arrows to choose an answer from each menu.
The equation Choose can be used to determine the value of the number of months Isabella has been a member of the fitness club. She has been a member of the fitness club for Choose months.
Answer: 19 months
Step-by-step explanation:
given data:
amount paid initially when joining the club = $50.
monthly payments made = $10.
total amount paid since joining the club = $240.
Solution:
= 10X + 50 = 240
collect like terms
= 10X = 240 – 50
10X = 190
divide both sides by 10
10X/10 = 190/10
X = 19
isabella has been a member of the club for 19 months.
Look at the coordinate graph.
Which point has coordinates (5, 4)?
Which point has coordinates (-5, -4)?
Which point has coordinates (5, -4)?
Which point has coordinates (-5, 4)?
Answer:
B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)
Step-by-step explanation:
look at x axis first (horizontal), then y axis (vertical)
The coordinates of the points are:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)How to identify the points?Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.
With that in mind, we can see that:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)Now, answering the questions:
Which point has coordinates (5, 4)?
Point B
Which point has coordinates (-5, -4)?
Point C
Which point has coordinates (5, -4)?
Point D
Which point has coordinates (-5, 4)?
Point A.
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What is pi/π used for in math?
Its used to find the area and circumference of a circle
Answer:
It is the 16th letter of the Greek alphabet
Used to represent the mathematical constant.
Pi is the ratio of the circumference/diameter.
Hope this helps you!
A composition of transformations maps pre-image EFGH to final image E"F"G"H".
Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is reflected across the line of reflection c to form trapezoid E double-prime F double-prime G double-prime H double-prime.
The first transformation for this composition is [________], and the second transformation is a reflection across line c.
a 180° rotation about point G
a 180° rotation about point H
a translation down and to the left
a translation up and to the right
Answer:
c. a translation down and to the left
Step-by-step explanation:
As per translation of a graph, the first transformation for this composition is translation down and to the left.
What is the translation of a graph?"A translation of a graph is its rigid movement, vertically or horizontally."
Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".
Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.
Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.
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solve the quadratic equation 3x^2-5x-7=0
Step-by-step explanation:
[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]
Equation from the positive root:
[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]
Equation from the negative root:
[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]
Answer:[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.
Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .
To Find : The roots of the equation .
Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .
⇒ 3x² -5x - 7 = 0.
Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.
[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]
On substituting respective values ,
⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.
⇒x = 5 ± √ [ 25 + 84 ]/ 6 .
⇒ x = 5 ± √ 109 / 6 .
⇒ x = 5 + √109 / 6 , 5 - √109 / 6.
[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]
Please help me with this
Answer:
A = (4, -2)
B = (-2, -2)
C = (-2, 2)
Please Brainliest! It wuld help out a lot..
I need help ASAP. Thank you in advance! The choices are true & false.
In a certain school club, 40% of the members are boys. If there are 45 members in the club, how many of them are boys?
Answer:
18 of them are boys
Step-by-step explanation:
40% = 40/100 = 0.40
0.40 × 45 = 18
I'm confused on how to find x
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].
We can then solve for x using the Pythagorean theorem:
[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.
Which unit of measurement would be the most appropriate to measure a bottle of nail polish
Answer:
milliliter
Step-by-step explanation:
Most of nail polish have their measurement in ml
A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.
Answer:
this is your question
Step-by-step explanation:
please mark as brainliest
The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5
Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -
3y = 1/2x
y = 1/6x
At [x] = 0, y = - 5
So -
y = (1/6)x - 5
Now -
slope = 1/6
[y] - intercept = - 5
y = 0 = (1/6)x - 5
(1/6)x - 5 = 0
1/6x = 5
x = 1/30
[x] - intercept = 1/30
Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.
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Convert 66 inches to meters.
Conversion table:
1 meter = 3.281 feet
1 foot = 12 inches
Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.
Answer:
= x^2 + 3 / (x-1)(x-3)
Step-by-step explanation:
Adjust fractions based on the LCM:
= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)
Combine the fractions (equal denominators):
= (x-3)^2 + 6(x-1) / (x-1) (x-3)
Expand:
x^2 + 3 / (x-1)(x-3)
Answer:d
X^2+3\(x-1)x-3)
Step-by-step explanation:
On Plato
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
HELP ME PLEASE 9 3/5 + 8 3/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5
We have a common denominator, so add the whole numbers
9+8 = 17
Add the fractions
3/5+ 3/5 = 6/5
17 6/5
We can simplify since we have an improper fraction
17 + 5/5 + 1/5
17+1+1/5
18 1/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5=
First we do 9+8 which is 17
3/5+3/5= 6/5
17 6/5
Simplify:
18 1/5
The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx
CORRECT ANSWER = BRAINLEIST
Answer:
5
Step-by-step explanation:
7*5=35
12*5=60
20*5=100
a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle
Answer:
medians in the triangle
Step-by-step explanation:
just took the test
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
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Type in Brandon Acevedo
okay
Please help me this question
Step-by-step explanation:
Hey there!
The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.
Note: use one point formula for finding the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]
Simplify it.
[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]
[tex](y + 3) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6 - 3[/tex]
[tex]y = - \frac{3}{4} x + 3[/tex]
Therefore, the equation is; y = -3/4x+3.
Hope it helps...
Help me please! If you can explain it will help me a lot, if not then it’s okay.
Answer:
I cant help bc it doesnt show :((( sorrrrry
Step-by-step explanation:
What is 5/8 of $16 restaurant bill=
What is the answer
Answer:
$10
Step-by-step explanation:
16 * 5 / 8 = 16 * 0.625 = $10
Isabella and Madeline share a bag of cherries. if isabella eats 25% of the cherries and there are 76 cherries in the bag, how many cherries did isabella eat?
Answer:
19
Step-by-step explanation: