On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.
what is linear regression?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.
the e slope of the linear regression prediction equation if a person with 12 years of schooling
a. 1(correct)
b. 12
c. 13
d. 1,500
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The point Q has coordinates (2,3) The point R has coordinates (a,b) A line perpendicular to QR is given by the equation 5x+2y=9 Find an expression for b in terms of a
B = (2a + 11)/5 is an expression for b when expressed in terms of a.
What exactly are slopes and lines?
We are aware that lines might have several kinds of equations; the typical form is
The equation of a line in slope-intercept form is Ax + By + c = 0, and
y = mx + b.
m is the slope, and b is the y-intercept.
The y-intercept, or (0,b), is the point where the line crosses the y-axis when x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.
Given:
Coordinates of point Q = (2,3)
Coordinates of point R = (a,b)
The equation of the line is 5x + 2y = 9 ⇒ 2y = - 5x + 9
Therefore, y = (-5/2)x + 9/2.
We know slope m = (y2 - y1) / (x2 - x1)
∴ m = (b - 3)/(a - 2).
∴ (2/5) = (b - 3).(a - 2).
2(a - 2) = 5(b - 3).
2a - 4 = 5b - 15.
2a + 11 = 5b.
b = (2a + 11)/5.
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What is the value 8?
The value 8 is a numerical value that represents the quantity of eight. It is the natural number following seven and preceding 9. It is an even number and can be written as the sum of two squares: 8 = 3^2 + 2^2 = 4^2. In binary, it is 1000.
Eight is in the first position and has a place value of 8. Understanding the place value of digits in numbers aids in number comparison. It also aids in the composition of numbers in their enlarged form. For example, the extended version of the previous number, 13,548, is 10,000 + 3,000 + 500 + 40 + 8.
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Find the surface area of the prism.
Answer:
6 x 3 = 18, 18 x 2 = 36
9 x 3 = 27, 27 x 2 = 54
6 x 9 = 54, 54 x 2 = 108
Add all given areas:
108 + 54 + 36 = 198 cm^2 is your answer.
Answer:
198 is surface area
Step-by-step explanation:
length = 6
width = 9
height = 3
use the formula
2(wl+hl+hw )
2(54+ 18+ 27)
99x2 = 198
Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v
Answer:
hhhhhhhhhhhhhhhh hhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh
If the Standard Deviation was 3 and the average was 52, between what 2 values would contain
the middle 68%?
A) between 52 and 58
B) between 49 and 55
C) between 48 and 56
D) between two ferns
Answer:
between 49-55.
Solve for x using what you know about interior angles of the shape
Answer:
117
Step-by-step explanation:
The figure is five sided, therefore the sum of the angles = (5-2)180
= 3*180
= 540
113 + 123+97+90(since its right angles)+y(unknown) = 540
423 + y = 540
y = 540 - 423
y = 117
Let the angle vertically opposite to y be z
y = z (vertically opposite angles)
z = 117
x = 117 (Corresponding angles are equal)
Hope u understand.
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How to solve y-2=-2(x+3) when x equals -3
Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110°, 15°, and 45°
A right triangle has one angle that measures 13°. What is the measure of the other acute
angle?
Answer:
25
Step-by-step explanation:
its needs to be under 90
Answer:
Explanation:
A triangle's three interior angles will add up to
180
∘
. Since it's a right angle, that means one angle is
90
∘
and the other is given as
15
∘
.
Therefore,
90
+
x
+
15
=
180
So
x
=
180
−
90
−
15
x
=
75
The acute angle is
75
∘
.
Change the following mixed numbers to improper fractions
a) 4 3/8
b) 2 1/3
c) 5 2/5
Answer:
a) 35/8
b) 7/3
c) 27/5
Step-by-step explanation:
Answer:
a) 35/8
b) 7/3
c) 27/5
Step-by-step explanation:
*to solve multiply the whole number by the denominater and add that total with the numerator, keep the denominater the same
a)
[tex]4 \frac{3}{8} [/tex]
[tex] \frac{32 + 3}{8} = \frac{35}{8} [/tex]
b)
[tex]2 \frac{1}{3} [/tex]
[tex] \frac{6 + 1}{3} = \frac{7}{3} [/tex]
c)
[tex]5 \frac{2}{5} [/tex]
[tex] \frac{25+ 2}{5} = \frac{27}{5} [/tex]
in exercise 15, find the expectation if a person buys two tickets. assume that the players ticket is replaced after each draw and that the same tiket can win more than one prize answer
The expectation is -$9.6
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.
Given that, a lottery offers one $1000 prize, two $700 prizes, three $300 prizes, and four $200 prizes.
Expected winning per ticket :
Σ(X × p(X)) = [(1000 × 1/1000) + (600 × 2/1000) + (300 × 2/1000) + (200 × 5/1000) - price per ticket
= 1 + 1.2 + 0.6 + 1 - 7
= 3.8-7
= -$3.2
Expected winning if 3 tickets are purchased :
3 × (-3.2) = -$9.6
Hence, the expectation is -$9.6
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Two cars start from the same intersection with one traveling southbound while the other travels eastbound going 10 mph faster. If after 2 hours they are 10sqrt(34) apart, how fast was each car traveling?
The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² = [tex](10 \sqrt{34})^2 \\[/tex]
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?When two or more lines in a plane cross one another, they are referred to as intersecting lines. The common point shared by all intersecting lines is the point of intersection, which can be found on all of them.
What do you mean by Speed?The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² =
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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Ash and Bea are engravers. Ash charges a flat fee of $\$1.50$ for the first $21$ letters engraved, and $8$ cents per letter thereafter. Bea charges a flat fee of $\$1.60$ for the first $15$ letters engraved, and $7$ cents per letter thereafter. For what nonzero number of letters will Ash and Bea's engraving prices be the same?
The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is 25 letters
How to find the number of letters ?The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 21 letters
= 1. 50 + 0. 08 x
The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 15 letters
= 1. 60 + 0. 07 x
Equating these equations together will show the number of letters :
1. 50 + 0. 08 x = 1. 60 + 0. 07 x
0. 08 x - 0. 07 x = 1. 60 - 1. 50
0. 01 x = 1. 10
x = 0. 10 / 0. 01
x = 10 letters
Number of non zero number of letters would be 25 letters :
= 15 + 10
= 25 letters
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A space ship travels at 57 miles per hour and traveled for 521 hours.
Select the answer that represents how many miles the space ship traveled.
Answer:29,697
Step-by-step explanation: multiply 57x521 and you get 29,697
pls help with this :)))
Answer:
A
Step-by-step explanation:
Radius = 8
Volume = (pi)r^2(h)
Volume = (pi)8^2(7)
Write an equivalent expression by factoring the expression: 72d + 81
Answer:
9(8d + 9)
Step-by-step explanation:
Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:
72d + 81
9(8d + 9)
So, the factored expression is 9(8d + 9)
i need help asap plz!!!
Answer:
AC ≈ 10.3
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{9.3}[/tex] ( multiply both sides by 9.3 )
9.3 × tan48° = AC , then
AC ≈ 10.3 ( to 3 sf )
find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0
Answer:
Step-by-step explanation:
line given is x-y+1= 0
you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis
x-y+1 =0 subtract x and 1 from both sides of the equation
-y = -x-1 multiply both sides by -1
y = x+1 so the slope of this line is 1 and the y-intercept is 1
If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2
please help: solve for x
Answer:
x=3
Step-by-step explanation:
Since the altitude of this triangle is at the midpoint of the base,
It is a isosceles triangle making MJ=MK
9x-18=3x
6x-18=0
6x=18
x=3
Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5).
y =
The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) is 2x+y = -2.
The line between these locations' slopes must equal the negative reciprocal of the bisector's slope. It must go through the segment midway.
The slope of the line through the given points :
m = (y2 -y1)/(x2 -x1) = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
Then, The slope of the required bisector: m = -1/(1/2) = -2
The midpoint of the given segment:
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
Then the point-slope form of the equation of the bisector:
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . .standard form equation
Thus, The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) is 2x+y = -2.
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The sum of -3 times x +6.3 what are all the possible values of x
So x = 2.1 is the only possible value of x that makes the equation true.
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
The equation is given as follows:
-3x + 6.3 = 0
To find the value of x, we need to isolate x on one side of the equation. We can do this by adding 3x to both sides:
-3x + 3x + 6.3 = 0 + 3x
6.3 = 3x
Now we can divide both sides by 3:
x = 6.3/3
x = 2.1
So x = 2.1 is the only possible value of x that makes the equation true.
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Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality.
Answer:
It appears that the solution set of the inequality 5n + 1.5 ≥ 4 is the set of all real numbers greater than or equal to -0.3. This can be determined by looking at the graph and noting that the region to the right of the vertical line x = -0.3 is shaded, which indicates that all values of x in that region are included in the solution set.
To verify this, we can substitute -0.3 into the inequality in place of n to see if the inequality is satisfied:
5(-0.3) + 1.5 ≥ 4
This simplifies to:
-1.5 + 1.5 ≥ 4
Which further simplifies to:
0 ≥ 4
Since this is not true, -0.3 is not a solution of the inequality. However, all values of x that are greater than or equal to -0.3 are solutions, as indicated by the shaded region on the graph.
Step-by-step explanation:
Lighthouse B is 9 miles west of lighthouse A. A boat leaves A and sails 4 miles. At this time, it is sighted from B. If the bearing of the boat from B is NE65, how far from B is the boat?
Answer:
The distance of the boat from B is approximately 9.4 miles
Step-by-step explanation:
The location of light house B from A = 9 miles west
The distance of the boat from A = 4 miles
The bearing of the boat from A = NE65
We have;
4/(sin25) = 9/sin(B)
sin B = 9*sin(25)/4
B ≈ 71.969
a² = 4² + 9² - 2 × 4 × 9 × cos(180 - 25 - 71.969) ≈ 88.264
The distance of the boat from B, a ≈ √88.264 ≈ 9.4
Let r(x) = x2. If r(x) = 4, find x.
if r(x) = x² and r(x) = 4, then the value of x = ± 2
What is equivalent of value?Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.
For example y = x+5 and the same y = 2x+7
then we can say that x+5 Is also equal to 2x+7
2x+7 = x+5
then x = -2
similarly r(x) = x²
thesame r(x) = 4
this means that x² = 4
solving for x
we find the square root of both sides
√x² = √4
x= ±2
It is ± because square root value as two possible values of either both positive or both negative.
Therefore the value of x is ±2
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- Find the perimeter and area of the rectangle shown.
3 m
12 m
Answer:
perimeter of the rectangle=2(12m+3m)
=30m
area of the rectangle=12m×3m
=36m
▬▬▬▬▬▬▬▬▬▬▬▬▬
→ Perimeter of Rectangle = 2(l + b)
= 2(12 + 3)
= 2 × 15
= 30m
→ Area of Rectangle = l × b
= 12 × 3
= 36m
∴ The Perimeter and area of Rectangle are 30m and 36m respectively.
▬▬▬▬▬▬▬▬▬▬▬▬▬
DeAndre is 18 miles into a 54-mile backpacking trip in the wilderness.
DeAndre can hike 12 miles per day. How many more days does DeAnd
need to finish?
DeAndre needs
more days.
????????? help ?????????? please
Answer:
(y-x=1.75)×2
2y-2x=3.5
2y-2x+4x-2y=3.5+4
2x. =7.5
X=3.75
y-x=1.75,
y. =1.75+3.75
y=5.5
PLEASE HELP!!! PLEASE NO LINKS
Answer: 624
Step-by-step explanation:
12 times 8 is 96 and 96 divided by 2 is 48 and 48 times 13 is 624
Natalia paid a total of 38.95 for 3 pizzas and a salad. The price of each pizza was p dollars. And the price of the salad was 11.98 what is the cost of 1 pizza
Answer:
The cost for 1 pizza is $8.99
Step-by-step explanation:
We know
Natalia paid a total of 38.95 for 3 pizzas and a salad
A salad = $11.98
We first find the total cost of 3 pizzas by
38.95 - 11.98 = $26.97
$26.97 is the cost for 3 pizzas; to find the cost of 1 pizza, we take
26.97 divided by 3 = $8.99
So, the cost for 1 pizza is $8.99
Answer:
The cost of 1 pizza is $8.99.
Step-by-step explanation:
Let
[tex]t[/tex] = total price
[tex]p[/tex] = pizzas
[tex]s[/tex] = salads
Natalia bought 3 pizzas and 1 salad
[tex]38.95=3p+1s[/tex]
We are given the price of the salad.
[tex]38.95=3p+11.98[/tex]
Now we can find the cost of 1 pizza.
Lets solve for [tex]p[/tex].
Subtract 11.98 from both sides of the equation.
[tex]26.97=3p[/tex]
Divide both sides of the equation by 3.
[tex]p=\frac{26.97}{3}\\p=8.99[/tex]
Jack spends a total of $16.50 on one bag of popcorn and three drinks.
Jill spends a total of $29.75 for two bags of popcorn and five drinks.
Write a system of equations. Determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.
Answer:
Sure! Here's a system of equations we can set up to represent this situation:
Let x be the price of a bag of popcorn and y be the price of a drink.
Then we can set up the following system of equations:
x + 3y = 16.50 (equation for Jack's purchases)
2x + 5y = 29.75 (equation for Jill's purchases)
To solve this system of equations, we can use the substitution method.
First, we can solve for x in equation 1:
x = 16.50 - 3y
Then, we can substitute this expression for x into equation 2:
2(16.50 - 3y) + 5y = 29.75
Simplifying this equation, we get:
33 - 6y + 5y = 29.75
Combining like terms, we get:
33 - y = 29.75
Subtracting 29.75 from both sides, we get:
33 - 29.75 - y = -y
Simplifying, we get:
3.25 - y = 0
Subtracting 3.25 from both sides, we get:
-y = -3.25
Dividing both sides by -1, we get:
y = 3.25
So, the price of a drink is $3.25.
Now we can substitute this value for y back into equation 1 to solve for x:
x + 3(3.25) = 16.50
Simplifying, we get:
x + 9.75 = 16.50
Subtracting 9.75 from both sides, we get:
x = 6.75
So, the price of a bag of popcorn is $6.75.
To the nearest cent, the price of a bag of popcorn is $6.75 and the price of a drink is $3.25.
Step-by-step explanation: