FILL IN THE BLANKS, (14 questions)
MATH MODELS
PLSSS HELP

Answer:

D (-8, -16)

Step-by-step explanation:

(4+x)/2 = -2

4+ x = -2 · 2

4 + x = -4

x = -4 - 4

x = -8

(4 + y)/2 = -6

4 + y = -6 · 2

4 + y = -12

y = -12 - 4

y = -16

If in an analysis of variance problem involving 3 treatments and 10 observations per treatment, S S E = 399.6. The M S E for this situation is  C. 14.8.

We would be making use of this formula to find or determine the MSE which is the variance within the sample.

MSE = S S E / r (c-1)

Where:

MSE represent variance within the sample = ?

SSE represent sum of the squares of error = 399.6

r represent 3 treatment

c represent observation per treatment = 10

Let plug in the formula so as to know the variance within the sample (MSE )

Sample variance ( MSE ) = 399.6 /3 (10 - 1 )

Sample variance ( MSE ) = 399.6 / 3 (9)

Sample variance ( MSE ) = 399.6 / 27

Sample variance ( MSE ) = 14.8

Therefore  we can conclude that the correct option is C which is 14.8.

Learn more about variance within the sample here:https://brainly.com/question/28542390

#SPJ1

The parametric equations for the tangent line to the given curve is x = 1-7t , y = 6t and z = 1-7t  .

In the question ,

it is given that ,

x = [tex]e^{-7t}[/tex]cos(6t), y = [tex]e^{-7t}[/tex]sin(6t), z = [tex]e^{-7t}[/tex] ,

So , the parametric equation of the curve will be ,

r(t) = [  [tex]e^{-7t}[/tex]cos(6t), [tex]e^{-7t}[/tex]sin(6t), [tex]e^{-7t}[/tex] ]

the point given as (1,0,1) implies that ,

[tex]e^{-7t}[/tex]cos(6t) = 1 , [tex]e^{-7t}[/tex] = 0 , sin(6t), [tex]e^{-7t}[/tex] = 1 which implies that ⇒ t = 0 .

So , the point (1,0,1) is the point r(0) .

Now , differentiating x , y and z with respect to t ,

we get ,

r'(t) = [  [tex]-e^{-7t}[/tex][7cos(6t) + 6sin(6t)], [tex]e^{-7t}[/tex][6cos(6t) - 7sin(6t)], [tex]-7e^{-7t}[/tex] ]

substituting , t = 0,

we get ,

r'(0) = [-7 , 6 , -7]

the equation of the tangent line passing through the point (1,0,1) and parallel to the tangent vector r'(0) is

r(t) = r(0) + tr'(0) = (1,0,1) + t(-7,6,-7)

So , r(t) = [ 1 - 7t , 6t , 1 - 7t ]

So , x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

Therefore , the required parametric equations are x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

Learn more about Parametric Equations here

https://brainly.com/question/14859526

#SPJ4

The freezing point of the 2.75 m solution of octane in benzene is -8.56 °C.

The freezing point of a solution is the temperature at which the solution becomes a solid. The freezing point of a solution is lower than the freezing point of the pure solvent because the solute particles interfere with the movement of the solvent molecules, which slows down the freezing process.

To determine the freezing point of a solution, we can use the freezing point depression equation:

ΔTf = Kf x molality

where ΔTf is the change in freezing point, Kf is the freezing point depression constant for the solvent, and molality is the concentration of the solute in the solution expressed in moles of solute per kilogram of solvent.

To find the freezing point of a 2.75 m solution of C8H18 (octane) in benzene, we need to know the freezing point depression constant for benzene, which is 5.12 °C/m. We can then use the equation above to calculate the change in freezing point:

ΔTf = 5.12 °C/m x 2.75 m = 14.06 °C

To find the freezing point of the solution, we need to subtract the change in freezing point from the freezing point of the pure solvent. The freezing point of pure benzene is 5.5 °C, so the freezing point of the 2.75 m solution of octane in benzene is:

5.5 °C - 14.06 °C = -8.56 °C

This means that the freezing point of the 2.75 m solution of octane in benzene is -8.56 °C. At this temperature, the solution will become a solid.

The functions that have a vertex at x = 0 are (a) f(x) = |x| and (d) f(x) = |x| - 6

From the question, we have the following parameters that can be used in our computation:

The absolute functions in the options

As a general rule;

A absolute functions can be represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

A vertex that has x value of 0 means

(h, k) = (0, k)

So, we have

f(x) = a|x - 0| + k

Evaluate

f(x) = a|x| + k

Looking at the options, we have

f(x) = |x| and f(x) = |x| - 6

Read more about absolute functions at

https://brainly.com/question/10538556

#SPJ1

Answer:

27.29 honestly this is a wild guess

Step-by-step explanation:

7.35% of 147.25 = 10.82

147.25-10.82=136.43

20% of 136.43 = 27.286(27.29)

The meaning of slope of the line in the context of the problem is a student's test score goes up 9 points every time they complete 1 homework assignment.

Slope of line is shows how much a line is inclined with respect to the X axis. In other words, it can also be defined as the change in y coordinates with respect to the change in x coordinates.

Slope of the line can be calculated if two points (x₁, y₁) and (x₂, y₂) are given as,

Slope = (y₂ - y₁) / (x₂ - x₁)

From the graph, take any two points on the line.

For instance, we take initial point (1, 20) and final point (10, 100).

Slope = (100 - 20) / (10 - 1)

          = 80/9

          ≈ 9

From the definition of slope, slope equals 9 means y values goes 9 points up with respect to one unit up in the x values.

Hence we got that a student's test score goes up 9 points every time they complete 1 homework assignment.

To learn more about Slope, click:

https://brainly.com/question/3605446

#SPJ1

The equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).

To find the slope of the line, we can use the slope formula:

m = (y2 - y1)/(x2 - x1)

The line on the graph passes through points (0, 3) & (0, 4).

m = (4-3)/(0-0)

m = 1/0

m = ∞

so, the slope is undefined.

Therefore, the equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.

To learn more about linear equations visit,

https://brainly.com/question/2030026

#SPJ1

the triangle could represent in a relation as x = 60 - 2(y + z)  and x = 2z + 20.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The following linear equation accurately describes the circumstance where "The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles":

x = 60 - 2(y + z) —- (1)

The following linear equation sums up the statement, "The largest angle is twice the smallest angle plus 20 degrees," as it applies to angles:

x = 2z + 20 —- (2)

Hence the triangle could represent in relation as x = 60 - 2(y + z)  and x = 2z + 20.

Learn more about triangle, by the following link

https://brainly.com/question/17335144

#SPJ1

O (x) = [tex]3x^{3} + 12x^{2}[/tex] is  a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable)

calculation

outside length are height = x

width = x +4 , length = 3x

volume = l *b * h

o(x) = 3x ( x+ 4 )x

= 3[tex]x^{2}[/tex](x+4 )

= O (x) = [tex]3x^{3} + 12x^{2}[/tex]

there is 1 inch of wood , so lengths of inner sides 2 inch less than outer sides as 1 inch from reduced

length = 3x-2

width = x +4-2 = x+2

height = x -2

volume = l*b*h

=[tex]3x^{3} - 2x^{2} - 12x + 8[/tex]

w(x) = [tex]14(6^{2}) + 12(6) -8\\ 504 + 72 -8 \\568inch^{3}[/tex]

so volume of wood = [tex]568inch^{3}[/tex] for x =6

O (x) = [tex]3x^{3} + 12x^{2}[/tex] is  a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box.

To know more about polynomial function visit :-

https://brainly.com/question/12976257

#SPJ4

The fixed cost of the plumber is £30 and the hourly rate for the plumber is  £25.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the fixed cost of a plumber is y.

Let the number of hours of work done be x.

As per the first condition, that one piece of work takes the plumber 5 hours and costs £155.

Then, the equation according to the statement will be,

y + 5x = £155      (i)

In the second condition, another piece of work takes the plumber 8 hours and costs £230.

Then, the equation according to the statement will be,

y + 8x = £230     (ii)

Now, subtract equation (ii) from the equation for the value of x,

y + 5x = £155

y + 8x = £230

-3x = -75

x = £25

Put x = £25 in equation (i)

y + 5x = £155

y + 5(25) = 155

y = 155 - 125

y = £30.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

Answer:

Below

Step-by-step explanation:

The first set of graphs is the correct one....it shows Y = constant 18

and shows Z as starting  at 10 (deposit) THEN INCREASING 2 per hour....

  where they cross is 4 hours and charges are the same

The inverse of the equation is y = (5/x) + 1

From the question, we have the following parameters that can be used in our computation:

y = 5/(x - 1)

Start by swaping the positions of x an dy

So, we have the following representation

x = 5/(y - 1)

So, we have

x(y - 1) = 5

Divide both sides by x

y - 1 = 5/x

Add 1 to both sides

y = (5/x) + 1

Hence, the inverse is y = (5/x) + 1

Read more about inverse equation at

https://brainly.com/question/3831584

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

B: It translates the graph 9 units to the right.

Step-by-step explanation:

The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.

Therefore, the correct answer is B: It translates the graph 9 units to the right.

$50,700 he make in commission in​ 2011.

%Earns= 13% commission/week

Last week sold = $7,500

In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:

$Earns = 0.13 (decimal form)*$7,500

Earns = $975

Last week, he made $975 in commission.

If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year

To learn more about commission rate  refer,

https://brainly.com/question/29280149

#SPJ1

Answer:

The answer is 256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4 · 4 · 8 · 2 = 256

find the area of the rectangle;

w x l = 8 x 10 = 80ft^2

circle;

pi(r)^2

r = 4

pi(4)^2

pi(16) = 50.24

80 + 50.24 = 130.24

The terminal point on the unit circle use exact values are,

( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

According to the question, it is provided that,

θ =  11π/6 radians

Now,

x = 1.cos(11π/6)

x = cos(11π/6)

x = cos(330°)

x = [tex]\sqrt{\frac{3}{2} }[/tex]

y = 1.sin(11π/6)

y = sin(11π/6)

y = -0.5

y = - [tex]\frac{1}{2}[/tex]

Then,

( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )

These two represents the terminal points

To find the terminal positions, we merely used the aforementioned equations, equated these two equations, and concluded that the same should be taken into consideration.

It could be figure out by using the x and y points

Therefore

The terminal point on the unit circle use exact values are,

( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )

To learn more about Terminal point visit :

brainly.com/question/4737736

#SPJ4

Answer: It's B

Step-by-step explanation:

It shows that Angle B is congruent to angle g but it actually isnt

Answer:

B.  ∠b ≅ ∠g

Step-by-step explanation:

Supplementary angles

Two angles whose measures sum to 180°.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

------------------------------------------------------------------------------------------

Statement A

∠f and ∠h are vertical angles.  Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.

Statement C

As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.

Statement D

∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.

Therefore, Statement B cannot be supported by the evidence shown.

Answer:

what we cookin ma boi

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

To add or subtract fractions ( or numbers with fractions in them) you HAVE to put the fractions into a common denominator form .....

Common denominator for 5 and 7 is 35

3 3/7 = 120/35

2  1/5 = 77/35

120/35  -  77/35  =  ( 120 - 77) / 35 =  43/35 = 1  8/35

The data item that corresponds to the z-score of 2.5 is 450.

What is Standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.

As, x = z×s + u, where z=2.5, s=60, u=300

⇒ x = 2.5×60 + 300

⇒ x = 150 + 300

⇒ x = 450

The data item that corresponds to the given z-score is 450.

To know more about standard deviation visit:

brainly.com/question/23907081

#SPJ1

By observing the figure we can make the pairs as

∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)

What are opposite angles and Alternate angles?

Opposite angles are angles that are located opposite each other, with respect to a straight line or a transversal. They are also called vertically opposite angles.

Alternate angles are angles that are located on opposite sides of the transversal and on the same side of the straight line or the transversal. They are also called corresponding angles.

In the given figure,

By observing the opposite angles and alternate angles we can fill the blocks,

∠1 ≅ ∠3 ---------(Opposite angles)

∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)

∠4 ≅ ∠6 ---------(Alternate angles)

∠3 ≅ ∠5 ---------(Alternate angles)

Hence, we have found the opposite angles and alternate angles from the figure.

To learn more about opposite angles and alternate angles, visit:

https://brainly.com/question/26167358

#SPJ1

The correct answer is $34900.

X : Average amount of loan of student debt by state .

X = N ( μ = $28500 , σ² = ( 3200 )² )

To find : What is the cutoff point that would place a state in top 2.5%

Let it be X

P( X > x ) = 0.025

P(X-μ/σ > X - 28500/3200) = 0.025

P(z >Z ) = 0.025

1 - P(z<Z ) = 0.025

P(z<Z ) = 0.975

φ(z) = 0.975

Z = φ⁻¹(0.975)

X - 28500/3200 = 1.96

X = 34772

i.e; P(X > 34772) = 0.025

Since, it is nearly equal to $34900 option b is correct.

To learn more about cutoff point click here:

brainly.com/question/29031557

#SPJ4

The monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

The given table is:

                          Df          SS                     MS                F

Regression          1          555,420          555,420          7.64

Residual              27       1,962,873         72,699

Total                    28        2,518,293

                    Coefficients         Standard Error         t-stat        p-value

Intercept          784.92                322.25                    2.44           0.02

Service             9.19                     3.20                      2.87           0.01

We have to find the monthly salary of an employee that has worked for 48 months at the bank.

Salary = β(0)+ β(1) Service

y = β(0)+ β(1)x

where, Service = x(in months)

Service = y(in $)

From the table

y = 784.92+9.19x

If x=48 months

Then, y = 784.92+9.19(48)

y = 784.92+441.12

y = 1226.04

Hence, the monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

To learn more about t statistic link is here

brainly.com/question/15236063

#SPJ4

Answer: 3 of the squares should go down then 8 to the right.

Step-by-step explanation:

it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.

hope this helps!

start by plugging values for x into the function

a) f(1) = 4 (1/2)^1

f(1) = 2

the first coordinate point is (1,2)

b) f(0) = 4(1/2)^0

f(0) = 4

(0,4)

this method will help you find the coordinate points and where to plot.

The table that represents a linear equation is the first one, and the line is:

y = 5x + 5

To check which table represents a linear function, you need to identify the increases in x, and check that al the increases/decreases in y are constant.

For example, if you look at the last table:

x = 0, 1, 2, 3

y = 1, 2, 4, 8

First x goes from 0 to 1, so 1 unit increase.

y goes from 1 to 2, 1 unit increase.

Then x goes from 1 to 2, 1 unit increase.

y goes from 2 to 4, 2 units increase.

The increase is not constant, thus it is not a linear equation.

The tables 2 and 3 can be discarded because have both increases/decreases.

Table 1 is the one that represents a linear equation:

x: 0, 1, 2, 3

y: 5, 10, 15, 20

Where the increases in y are always of 5 units, and the linear equation is:

y = 5*x + 5

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:   C) 4.123 x 106

Step-by-step explanation:

The required answer for the given system of linear equations is No solution.

What is a system of linear equation?

A system of linear equations comprises two or more linear equations made up of two or more variables so that all equations in the system are considered simultaneously. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation. As a result, we are able to formulate linear equations with n variables.

Solve for the first variable in one of the equations, then substitute the result into the other equation, we will get

No solution

The graph of the given system of linear equations is given below

Hence, the required answer for the given system of linear equations is No solution.

To learn more about a system of linear equations

https://brainly.com/question/26150814

#SPJ1