Answer:
A
Step-by-step explanation:
In a slope-intercept equation, the format goes like this:
y = mx + bM = Slope
B = Y-intercept
In the equation, y = 6/9x + 3:
The slope is 6/9
The y-intercept is 3.
So what the question means by "cross the y-axis" is when the line on the graph is going through the y-intercept point.
Because the y-intercept is 3, the ordered pair would look like this:
(0, 3)
Note: The y-intercept is when the x-intercept has a value of 0 and the y-intercept is only on the y-axis, never the x-axis.
Therefore, the answer would be Option A. (0, 3)
)The scatter plot shows the relationship between the number of hours spent practicing piano per week and the number of pieces of music the student can play:
A scatter plot is shown. The x-axis is labeled hours spent practicing and the y-axis is labeled number of pieces student can play. Data points are located at 1 and 1, 1 and 5, 2 and 10, 2 and 15, 3 and 15, 3 and 25, 4 and 40, 5 and 40, 5 and 50, 6 and 55, 6 and 70, 8 and 90, 3 and 70. A circle labeled T includes all points except for 3 and 70. Point 3 and 70 is circled and labeled as R.
Part A: What is the group of points labeled T called? What is the point labeled R called? Give a possible reason for the presence of point R. (3 points)
Part B: Describe the association between the number of hours practiced each week and the number of pieces a piano student can play. (2 points)
Part A
The group of points labeled "T" can be thought of as the main cluster of points. Your teacher might have given another name for it, but this is how I think about it. All of these points are very close to a straight line.
The point R is known as an outlier. It is fairly far from the main cluster, in that it's not near the regression line. You can think of the points in the main cluster as houses along/near a straight road. The outlier house is unfortunately far from that road.
One possible reason for point R is that the student is very talented and can pick up music really easy, thereby not needing that much practice. Another reason is that the student already had tons of prior practice and experience, so they don't need as much practice currently.
============================================================
Part B
We have a strong positive linear association with the main cluster of data points. As mentioned earlier, a straight line is very close to these points. The closer they are to the same straight line, the stronger the correlation.
We have positive correlation because as x goes up, so does y. The variables increase together. Negative correlation happens when x and y go in opposite directions (one goes up, the other goes down).
The outlier point R pulls on the regression line to make it slightly not near the main cluster. The line tries its best to be near all of the points, and that includes the outlier. In some situations, the outlier is ignored and regression is done on the other set of points.
As you can probably guess, the outlier dilutes the strength of the correlation. The further the outlier, the weaker the correlation gets.
Answer:
Here you go!
Step-by-step explanation:
A) The group of points labeled T called cluster. The point labeled R called outlier. Student because of being proficient on the piano before practice was measured.
B) A positive correlation is a relationship between two variables that tend to move in the same direction
please hepl, 30 points, will give brainly
Answer:
3x(5-7)°+1(5x-7)°
3x×5-3x×7+1×5x-1×7
15x-21x+5x-7
15x+5x-21x-7
20x-14
Find the arc length of the subtending arc for an angle of 3pi/4 radians on a circle of radius 2.5.
The arc length of the circle will be equal to 5.89 units.
What is the length of the arc?The length of the curve on the circumference of the circle making an angle with the centre is called the length of the arc of the circle.
Given that:-
Angle = 3π / 4radius = 2.5 units.The length of the arc will be calculated as:-
Arc = Angle x radius
Arc = ( 3π / 4 ) x 2.5
Arc = 5.89 units.
Therefore the arc length of the circle will be equal to 5.89 units.
To know more about arc length follow
https://brainly.com/question/2005046
#SPJ1
somebody please help me with this
Answer:
P(A) = 5/12
P(B) = 1/2
Step-by-step explanation:
A) Sum greater than 7
If the sum needs to be >7, then it can be 8, 9, 10, 11, and 12.
There are 26 out of 36 events where the sum is >7, thus P(A) = 15/36 = 5/12.
B) Sum is even
If we see in an overview of the sum distribution, there is a balanced division between odd and even numbers, thus the probability is very likely to be 1/2. Now let's make sure of it:
If the sum needs to be even, which means divisible by 2, then it can be 2, 4, 6, 8, 10, and 12.
There are 18 out of 36 events where the sum is even, thus P(B) = 18/36 = 1/2.
Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3
A risky stock sells for $10 per share. With probability 0.3, the stock will be worth 3 times as much in two years. With probability 0.7, the stock will be worth 1/10 as much in two years. Suppose you buy 10 shares of the stock and then sell the stock in two years. Let N be the random variable denoting your net gain in dollars. What is the expected value of N
The expected value of the net gain from selling the stock in 2 years is $-3.
What is the net gain?The net gain is the total profit from selling the stock less the total cost of buying the stock
Total cost of buying the stock = 10 x $10 = $-100
Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97
Net gain = $97 - $100= $-3
To learn more about profit, please check: https://brainly.com/question/26181966
#SPJ2
The area A of the rectangle shown is 500 square meters. Find the value of x. Then give the dimensions of the rectangle.
Answer:
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mStep-by-step explanation:
Area Formula
*Area* = *Length* × *Width*Given
Area = 500 square metersLength = (4x - 3) metersWidth = (2x + 6) metersSolving
(4x - 3)(2x + 6) = 5008x² - 6x + 24x - 18 = 5008x² + 18x - 18 - 500 = 04x² + 9x - 259 = 0(4x + 37)(x - 7) = 0x = 7 [as distance is always positive]Dimensions
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mNow
Area =LB(4x-3)(2x+6)=5008x²+18x-518=0(x-7)(4x+37)=0x=7 or -37/4Take it positive
L=4(7)-3=28-3=25B=2(7)+6=20Solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b to complete the solutions.
The solution to the given quadratic expression using the completing the square is x = ±√10 +8
Completing the square methodThis is a method of factoring quadratic expression. Given the quadratic function.
x^2 − 16x + 54 = 0
Subtract 54 from both sides
x^2 − 16x = -54
Complete the square
x^2 -16x +8^2 = -54 + 64
(x-8)² = 10
x - 8 = ±√10
x = ±√10 +8
Hence the solution to the given quadratic expression using the completing the square is x = ±√10 +8
Learn more on completing the square here: https://brainly.com/question/13981588
#SPJ4
Questions 1-4 of 4 | Page 1 of 1
Question 1 (1 point)
Of 100 boys, 34 are on the Honor Roll, 29 play sports, and 27 are on the Honor Roll and play sports.
What is the probability that a randomly selected student plays sports or is on the Honor Roll? Pick
the most simplified answer.
a
36/100
9/25
Oc 18/50
Od 3/5
Answer:
A 36/100
Step-by-step explanation:
the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.
I don't understand this equation, I need a little help...
x + 14 = 14, x
Find the midpoint M between V(3,7,-6) and W(-4,-8,7). Put your answer in the form (x,y,z)
Answer:
M(-1/2, -1/2, 1/2)
Step-by-step explanation:
To find the midpoint of a line segment, average the coordinates of the end points.
M = (A +B)/2
__
M = (V +W)/2
M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2
M = (-1/2, -1/2, 1/2)
The midpoint between V and W is M(-1/2, -1/2, 1/2).
The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 10 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate
The Probability of that more than 7 of them germinate is 0.2948.
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.
The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.
The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.
The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.
The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.
Thus, The Probability of that more than 7 of them germinate is 0.2948.
Learn more about Probability from:
https://brainly.com/question/11234923
#SPJ1
g+6 ≥ 5 I need help I don't know how to do it
Answer:
you will subtract 6 from 5 then your answer will be g ≥ -1
Step-by-step explanation:
hope this helps
can someone do this for me please?! Just the answer pls
Answer:
1 is d
the square root of 36 = 6 which is the only equation with 36
2 is d
Find the roots of the equation x2-x=6 algebraically
Answer:
x= 3
x= -2
Step-by-step explanation:
x^2-x=6
x^2-x-6=0
find which 2 numbers when multiplied give -6 and
when added give -1
they are -3 and 2
(x-3)(x+2)
x= 3
x= -2
What are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
The solution to the quadratic equation 6x² + 6 = 12x is x = 1
How to determine the solutions?The quadratic equation is given as:
6x² + 6 = 12x
Equate the equation to 0
6x² - 12x + 6 = 0
Expand the equation
6x² - 6x - 6x + 6 = 0
Factorize the expression
6x(x - 1) - 6(x - 1) = 0
Factor out x - 1
(6x - 6)(x - 1) = 0
Split
6x - 6 = 0 or x - 1 = 0
Solve for x in both instance
x = 1 or x = 1
Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1
Read more about equations at:
https://brainly.com/question/723406
#SPJ4
QUESTION 3 Given: f(x) = 3(x - 1)² - 12 +1 and g(x) = X+2 3.1 Calculate the coordinates of the x-intercept and the y-intercept of g 3.2 Calculate the coordinates of the x-intercept and the y - intercept of f. 3.3 What is the minimum value of f(x)? 3.4 On the same set of axes, sketch the graphs of f and g. Indicate all intercepts with axes and the coordinates of the turning point of f. 3.5 For which values of x will both f(x) and g(x) increase as x increases?
Answer:
Solution: (-1, 1) and (10/3, 16/3) are Intercepts.
Step-by-step explanation:
Set the equations equal to themselves and solve for x and y.
Hope this helps! :)
A shop is selling notebooks for £1.50 each.
They have a buy one get one half price offer on.
How many notebooks can be bought for £25?
Answer:
18 . 75
Step-by-step explanation:
1.50's half is 0.75 , Then multiply £1.50 × £25
Answer:
one book=1.50
the other half priced book=0.75
so 0.75+1.50=2.25
25/2.25
=11.111
so eleven books
What is the simplest radical form of the expression?
(8x^7y^4)^2/3
Answer:
[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]
Step-by-step explanation:
Given expression:
[tex](8x^7y^4)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]
[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]
[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]
[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]
Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]
[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]
To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.
[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]
To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.
[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]
Calculate 8 to the power of 2/3 and you get 2/4.
[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]
PLS HELP! The figure is a triangle that is divided into two parts. Angle A and angle E are right angles, and the measure of angle F is 30°. What is the measure of angle C?
Complete the steps below to solve the problem using equations.
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in the table. A cylinder. Model 1 radius: 14 cm height: 48 cm diagonal: 50 cm Model 2 radius: 6 cm height: 35 cm diagonal: 37 cm Model 3 radius: 20 cm height: 40 cm diagonal: 60 cm Model 4 radius: 24 cm height: 9 cm diagonal: 30 cm In which model does the lateral surface meet the base at a right angle? Model 1 Model 2 Model 3 Model 4
The model in which the lateral surface meets the base at right angle is : Model 1.
What is a lateral surface?The lateral surface of an object is all surfaces of that object excluding its base and top.
Analysis:
To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.
For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.
Model 1
Diagonal = 50cm, radius = 14cm, lateral height = 48cm
[tex](50)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](48)^{2}[/tex]
2500 = 196 + 2304
2500 = 2500. Forms Pythagorean triplet
Model 2
Diagonal= 37cm, radius = 6cm lateral height = 35cm
[tex](37)^{2}[/tex] = [tex](35)^{2}[/tex]+ [tex](6)^{2}[/tex]
1369 = 1225 +36
1369 [tex]\neq[/tex] 1261
Model 3
Diagonal = 60cm, radius = 20cm lateral height = 40cm
[tex](60)^{2}[/tex] = [tex](20)^{2}[/tex] + [tex](40)^{2}[/tex]
3600 = 400 + 1600
3600 [tex]\neq[/tex] 2000
Model 4
Diagonal = 30cm, radius = 24cm, lateral height = 9cm
[tex](30)^{2}[/tex] = [tex](24)^{2}[/tex] + [tex](9)^{2}[/tex]
900 = 576 + 81
900 [tex]\neq[/tex] 657
Therefore the lateral surface model 1 meets the base at right angle
In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.
Learn more about Pythagorean triplet: brainly.com/question/20894813
#SPJ1
Answer:
the answer is B have an amazing day
Step-by-step explanation:
The side of a square is 3 cm long.
What is the length of the diagonal of the square? Give a reason for your answer.
INSTRUCTION: Round your answer to two decimal places.
Answer:
approximately 4.23 cm
Solve the system with elimination.
3x + y = 9
x + 2y = 3
Answer: X = 3 and Y = 0 3,0
Determine the equation of the circle with center (-4,-2) containing the point
(4, -17).
The equation of the circle is:
[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]
How to get the equation for the circle?The general equation for a circle of radius R and center (a, b) is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:
[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]
So the equation of the circle is:
[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]
If you want to learn more about circles:
https://brainly.com/question/1559324
#SPJ1
Guys I really need some help this is due tomorrow Help me asap
I hope y’all know how to margin of error please help me ASAP
Answer:
please explain the question better so sorry
Step-by-step explanation:
I can't understand the question please explain it and I'll help the best I can
Question 7 (1 point)
Using the Cylinder in the picture, find the Lateral Area, the Area of a Single Base, and the TOTAL Surface Area: (round to the nearest
hundredth)
7 cm
10 cm-
Lateral Area =
Single Base Area =
Surface Area =
Blank 1:
cm²
_cm²
cm²
Answer:
The lateral area is 439.82 I don't know the single base one and The surface area is 747.7
Step-by-step explanation:
Pre-algebra Volumes. GIVING BRAINLEST! TO FIRST ANSWER. 25 POINTS!
Answer:
Choice B and Choice C
Step-by-step explanation:
Hello! This is how I solved this question:
(10 x 8 x 2) + (3 x 3 x 4) = 160 + 36 = 196ft^3
(10 x 3 x 2) + (5 x 4 x 2) = 60 + 40 = 100ft^3
(8 x 4 x 2) + (3 x 6 x 2) = 64 + 36 = 100ft^3
(8 x 10 x 3) + (4 x 5 x 2) = 240 + 40 = 280ft^3
Choice B and Choice C are the same values, and knowing that you need two of the same values for the volume of the figure must be the same. Giving you your two answers from simply multiplying and adding the answers.
Hope this helps, don't hesitate to ask if you have additional inquiries!
b) The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle.
Answer: Please see the analysis
When dividing a number by 10, where is the decimal point moved?
Answer:
decimal point is moved one digit towards the left when divided by 10.
for example:
50.1 ÷ 10 = 5.01
hope that helps you...
On average how far from the mean age is each player?
The mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
What is dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The data of the age of the player is,
18,19,20,21,21,21
The number of player are 6. Thus, the mean of the data is,
Mean=(18+19+20+21+21+21)/6
Mean=20
The distance form mean 20 of each player age is, 2,1,0,1,1,1. The mean deviation is,
Mean Deviation= (2+1+0+1+1+1)/6
Mean Deviation=1
Thus, the mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
Learn more about the dot plot here;
https://brainly.com/question/15853311
#SPJ1
For an A.P., a= 25, d = -3. Find the value of n if S=112
Answer:
n = 7.
Step-by-step explanation:
Sum S of an AP = (n/2)[2a + d(n - 1)]
112 = (n/2)[2*25 - 3(n -1)]
n/2 (53 - 3n) = 112
n(53 - 3n) = 224
-3n^2 + 53n - 224 = 0
3n^2 - 53n + 224 = 0
(3n - 32 )(n - 7 ) = 0
n = 7, 32/3
So n must be 7 as its a whole number.