Need help with Stats homework, Picture has been uploaded of the question

So the initial equation is:

To writte the equation in the standard form we have to make it equal to 0, so we can add 2 in bout sides of the equation:

now, (a) is the number thas goes with the x^2, (b) is the number that goes with the x and (c) is the number that is alon, so:

Now we can substitute this numbers in the quadratic equation:

and finally we can simplify the equation:

Remember that to find a distance between two numbers, we have to subtract the least number from the greater one. So, in this case, we have -4 and 5, where 5 is greater than -4.

22 lots of 5-6 acres each can be created from the remaining area.

What is acres?
The imperial and US customary systems both utilise the acre as a unit of land area. One chain by one furlong (66 by 660 feet) is the traditional definition, which is exactly equal to 10 square chains, 1/640 of a square mile, 4,840 square yards (43,560 square feet), and 4,047 m² (or around 40% of a hectare). An acre may be stated to be exactly 4,046.8564224 square metres based on the international yard and pound agreement of 1959.

Out of  25 acres of land 6 2/3 acres can not be developed into lots.

Therefore land that is left = 25 - 6 2/3 acres

= 25 - 20/3 acres

= 55/3 acres

No.of 5/6 acre lots can the rest of the land be divided into = 55/3 / 5/6 lots

= 22 lots

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The equation for the graph sketched below is given as y = -3(3)^x

The standard form of an exponential equation is given as y = ab^x

Using the coordinate points on the graph (-1, 1) and (0, -3)

The equivalent equations are;

1 = ab^-1

-3 = ab^0

From equation2;

a= -3

Substitute into equation 1;

1 = ab^-1

1 = 3b^-1

1 =3/b

b =3

Determine the equation

y = ab^x

y = -3(3)^x

This gives the required exponential equation

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Answer:

the answer is -17 8/9

Step-by-step explanation:

when "subtracting" negative numbers you actually add all of them together and attach the negative sign

The net force  acting on the object is 12.44 N.

In this problem, we are dealing with the magnitude of a vector, where A vector is an object that has both a magnitude and a direction. Geometrically, able to picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow showing the direction. A vector's magnitude  is the length of the vector. The magnitude of the vector a is signified as ∥a∥. Since we are provided with magnitudes of the three forces acting on the object which are (-8,5), (0,1), and (4, -7) So  we can represent them in terms of vectors which are :

F₁= -8i+5j

F₂= j

F₃ = 4i-7j

The magnitude of a vector is basically to add the individual horizontal and vertical components to get the horizontal and vertical components of the resultant force, then sum up the square of the  vertical components and horizontal of the resultant force and take the square root of the result.

F(net) =[tex]\sqrt{}[/tex]( F₁²+ F₂²+ F₃²)

  =[tex]\sqrt{}[/tex] ((-8)²+(0)²+(4)²) +((5)²+ (1)²+(-7)²)

 =[tex]\sqrt{}[/tex](64+16)+(25+1+49)

= 12.44  N

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So the answer is X1 = 5.51 and X2 = -0.85

Answer: 8/33

Step-by-step explanation:

r = 0.242424....

100r= 24.2424....

100r - r = 99r

99r = 24

r = 24/99 = 8/33

Answer:

1. Decimal: 0.1 Fraction: 1/10

2. Decimal: 0.8 Fraction: 8/10

3. Decimal: 0.4 Fraction: 4/10

4. Decimal: 0.6 Fraction: 6/10

5. Decimal: 0.7 Fraction: 7/10

Explaination:

brainliest me if it helps!

(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

i.

it is an corresponding angles

ii.

the realtion we have is that the angles are equal

iii.

4+10x=11x-1

or 4+1=11x-10x

5=x

iv

4+10x=4+10×5

=54

11x-1=11×5-1=54

Answer:

A)Corresponding angles (When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles

B)They are congruent to each other

C) 4+10x=11x-1

4=x-1

5=x

( we put them equal to each other because they are the same)

D)4+10(5)=

4+50=54

D)11(5)-1=

55-1=54

x = 0

Okay, here we have this:

Considering the following equation:

Sale Price=Original Price*(100%-Percentage discount)

Replacing we obtain:

$1149=$1549*(100%-Percentage discount)

$1149/$1549=(100%-Percentage discount)

0.7417=100%-Percentage discount

Percentage Discount=100%-0.7417

Percentage Discount=1-0.7417

Percentage Discount=0.2583

Percentage Discount=25.83%

Finally we obtain that the discount percentage is 25.83%.

Given the equation of an ellipse: #41

To find the center and the vertices, we will complete the square of (x) and (y):

Factor for (x) and (y) then simplify:

The general form of the ellipse will be:

Comparing the equation with the form:

The graph of the ellipse will be as shown in the following picture:

As shown in the figure:

The center C = (h,k) = (-4 , 5)

The vertices denoted by V = (-6, 5) and (-2, 5)

Foci denoted by F =

Answer:

A) f(0) = -7

B) f(-3) = 44

C) x = -1, (7/5)

Step-by-step explanation:

2. Let f(x) = 5x² - 2x - 7.

(a) find f(0)

f(x) = 5x² - 2x - 7

f(0) = 5(0)² - 2(0) - 7

f(0) = -7

(b) find f(-3)

f(x) = 5x² - 2x - 7

f(-3) = 5(-3)² - 2(-3) - 7

f(-3) = 5(9) - 2(-3) - 7

f(-3) = 45 + 6 - 7

f(-3) = 45 + 6 - 7

f(-3) = 44

(c) find x if f(x) = 0

f(x) = 5x² - 2x - 7

f(x) = 5x² - 2x - 7 = 0

(5x² + 5x)(-7x - 7)

5x(x + 1) -7(x + 1)

(5x - 7)(x + 1)

5x - 7 = 0,  x + 1 = 0

    +7   +7       -1    -1

---------------  ---------------

5x = 7             x = -1

÷5   ÷5

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

x = (7/5)

5(-1)² - 2(-1) - 7 = 0

5(7/5)² - 2(7/5) - 7 = 0

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

I hope this helps!

Value of f(-2) is 12.25.

Equation, also known as a statement of equivalence between two expressions with variable- and/or number-based components. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Given Data

Expression

f(x) = -x +2ˣ+8

f(-2)

Equating -2 in the place of x

= -(-2) + 2⁻² + 8

= 4 + 8 +[tex]\frac{1}{4}[/tex]

= [tex]\frac{16+32+1}{4}[/tex]

= [tex]\frac{49}{4}[/tex]

= 12.25

Value of f(-2) is 12.25.

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Answer:

It is A how the body responds to a change

Answer: Use cross-product to determine if the two ratios form a proportion.

By applying sine trigonometry, the angle θ in this right angled triangle is approximately equal to 50 degrees.

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

In order to determine the value of H, we would apply basic trigonometry. From the information provided about this right angled triangle, we can logically deduce the following parameters:

Therefore, we would use the sine trigonometry to determine the value of H as follows:

Sinθ = Opp/Hyp

0.7071 = 5/H

H = 5/0.7071

H = 7.0711.

Now, we can determine the angle θ in this right angled triangle as follows:

Sinθ = Opp/Hyp

Angle, θ = sin⁻¹(Opp/Hyp)

Angle, θ = sin⁻¹(5/7.0711)

Angle, θ = sin⁻¹(0.7071)

Angle, θ = 44.999 ≈ 50°.

Angle, θ = 50 degrees.

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Solution:

Speed is expressed as

Given that Thiyo traveled 420 miles at 56 mi/h, let t represent the number of hour he drove.

Thus,

Make t the subject of the formula.

Hence, Thiyo drives for 7.5 hours.

[tex] = (2x + 3)(x - 3) \\ = 2x(x - 3) +3 (x - 3) \\ = 2 {x}^{2} - 6x + 3x - 9 \\ = 2 {x}^{2} - 3x - 9[/tex]

ATTACHED IS THE SOLUTION

Answer:

No association

Explanation:

If there is a positive linear association, the graph would show something close to a straight line with a positive slope.

In the same way, if there is a negative linear association, the graph would be a straight line with a negative slope

If there is a nonlinear association we would see a curve.

Since all the data is dispersed in the graph, we can say that the best description of this relationship is No association.

Answer: The answer should be 10^2  or C

Step-by-step explanation: 65.108 if you move the six to left 2 times you will get 6,510.8

Option Negative 4 over fifteen times x plus four is equivalent to expression one third times the quantity 2 times x plus 12 end quantity minus 14 over 15 times x.

Firstly writing the mentioned expression in mathematical form -

Expression = 1/3(2x + 12) - 14x/15

Simplifying the expression by performing multiplication

Expression = 2x/3 + 12/3 - 14x/15

Taking LCM of these three denominator, we get 15

Expression = 2x×5 + 12×5 - 14x/15

Performing multiplication in numerator of the Right Hand Side of the expression

Expression = 10x + 60 - 14x/15

Performing subtraction

Expression = - 4x + 60/15

Rewriting the expression

Expression = - 4x/15 + 60/15

Performing division on extreme Right Hand Side of the expression

Expression = - 4x/15 + 4

Thus, the correct equivalent expression is option negative 4 over fifteen times x plus four.

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Answer:

[tex]y=\frac{1}{5}x^2+\frac{9}{5}x+4[/tex] or y = 1/5x^2+9/5x+4 (they are the same just different formats)

Step-by-step explanation:

In this case we are given the intercepts of the parabola (aka another name for a quadratic function). Since the intercepts are given, it makes the most sense to use intercept form.
The basic formula for intercept form is:
y=a(x-b)(x-c) where a, b, and c are all constants
b and c are the x intercept values.
plug in the values:
y=a(x-(-4))(x-(-5))=a(x+4)(x+5)

y=a(x+4)(x+5)   let's call this equation 1

unfortunately, there is still an "a" at the beginning, but that's where the y intercept is used.
Since (0,4) is a solution to the equation: y=a(x+4)(x+5), the values can be plugged into this equation to solve for a.
In this case, x = 0 and y = 4, so plug in those values

4=a(0+4)(0+5) = a(4)(5) = 20a
a = 1/5
Now, plug "a" back into equation 1
y=1/5(x+4)(x+5) this is the intercept form. However, the question ask for standard form, so it must be expanded

FOIL the parentheses (expand it) to get:
y=1/5(x^2+9x+20) = [tex]\frac{1}{5}x^2+\frac{9}{5}x+4[/tex]

Answer: The 80% of 45 is 36

Step-by-step explanation:

Write 80% as

80

100

Since finding the fraction of a number is the same as multiplying the fraction with the number, we have

80

100

of 45 =

80

100

× 45

Therefore, the answer is 36

If you are using a calculator, simply enter 80÷100×45 which will give you 36 as the answer. Hope it helps!

The amount of mortgage will be the remaining amount after they made a downpayment.

Since the downpayment is 30%, the mortgage will be 70% of the purchased amount

So mortage will be :

mortgage = 0.70 x $235,000 = $164,500

From the closing cost table :

There are charges related to the mortgage (Points, Document stamp and Processing fee)

Adding these charges will be :

=2% + 0.30% + 1.10% = 3.4% of the mortgage

So this will give us :

= 0.034 x $164,500 = $5,593

Now to find the total mortgage, add the values in the closing cost table including the mortgage itself.

Total mortgage = 164500 + 5,593 + 252 + 65 + 325 + 212 + 410 + 350 + 450

Answer :

Total mortgage = $172,157

40% of the airplanes were hydroplanes.

If 660 were hydroplanes, how many were not hydroplanes?​

SOLUTION

If 40% of the airplanes were hydroplanes.

Let x represents the total number of Hydroplanes.

So that 40 % of X = 660

40/ 100 x X = 660

2 / 5 x X = 660

2X / 5 = 660

cross- multiply, we have:

2X = 660 X 5

2 X = 3300

Divide oth sides by 2 , we have :

X = 3300 / 2

X = 1650

Total number of Hydrophones = 1650

Those that are Hydrophones = 660

Those that are not Hydrophones = 1650 - 660

= 990

For the given question,

Figure A and D are the cases of reflection over y and x axis respectively.

For the given question,

Figure B and C are the cases of translation 3 right and 4 down respectively.

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Solution:

Given the a figure;

The figure is a square with the unshaded region is a semi circle.

The measure of the side lengths of the square is 25 ft

To find the area, A, of the shaded region, the formula is

Where

Substitute the values of the variables into the formula above

Hence, the answer is 379.56 ft² (nearest hundredth)