kylie works for a large nursery and is investigating whether to use a new brand of seeds. the new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. she will change over to this new brand unless the actual germination rate is less than what is advertised. kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. she finds that 70 of those seeds germinated. what are the null and alternative hypotheses for this hypothesis test?

The needed 3rd-degree polynomial function with real coefficients matching the specified constraints will be y=-5x³+10x²-45x+90.

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. Polynomials are sums of k-x^n terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial.

Here,

y=-5(x-2)(x-3i)(x+3i)

y=-5(x-2)(x²+9)

y=-5(x³-2x²+9x-18)

y=-5x³+10x²-45x+90

The required 3rd-degree polynomial function with real coefficients satisfying the given conditions will be y=-5x³+10x²-45x+90.

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Hello,

I hope you and your family are doing well!

To solve this problem, we can use the formula:

total cost = set-up fee + (cost per copy * number of copies)

In this case, we know the total cost and the set-up fee, and we want to find the number of copies. We can substitute these values into the formula and solve for the number of copies:

$32.20 = $14.95 + ($0.03/copy * number of copies)

Subtracting the set-up fee from both sides of the equation gives:

$17.25 = $0.03/copy * number of copies

Dividing both sides of the equation by the cost per copy gives:

number of copies = $17.25 / $0.03/copy = 575 copies

So Emilio was charged $32.20 to print 575 copies of the brochures.

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Happy Holidays!

The diagonals of rectangle are congruent.

We should know that a rectangle is a plane shape with four sides, four vertices and four angles.

Using a rectangle with the lettering ABCD

The diagonal AC divide the rectangle into two right angled triangles

<ADC = 90⁰

In the rectangle, AD=BC and AB=CD

Also, The same diagonal AC has another right angled triangle ABC with <ABC=90⁰

Similarly, diagonal BD divides the rectangle into two right angled triangles of ΔBAD and ΔBCD with a common hypothenuse of  BD

Hence AB=CD and AD= BC

Therefore, the two diagonals are congruent

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Answer:

The possible coordinates of point A are (-3, 8) and (-3, -4).

Step-by-step explanation:

We can find the possible coordinates of point A by using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of (x2-x1)^2 + (y2-y1)^2. We know that the x-coordinate of point A is -3 and the distance between point A and point B is 10 units. We can use this information to solve for the y-coordinate of point A:

Copy code

d = sqrt((x2-x1)^2 + (y2-y1)^2)

d = sqrt((5-(-3))^2 + (2-y1)^2)

d = sqrt(8^2 + (2-y1)^2)

d = sqrt(64 + (2-y1)^2)

d = sqrt(64 + (y1-2)^2)

d = 10

sqrt(64 + (y1-2)^2) = 10

64 + (y1-2)^2 = 100

(y1-2)^2 = 36

y1-2 = +/- 6

y1 = 8 or -4

Therefore, the possible coordinates of point A are (-3, 8) and (-3, -4).

Answer: 66 1/24

Step-by-step explanation:

To prove that the two circles are similar, the answer which would be the correct second step in his proof is:

A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

What is a Circle?

This refers to a round plane who has a centre as a fixed point that has equal distance from each ot

With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C

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The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4

The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.

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Step-by-step explanation:

d is the answer as far as I can tell from a little experience

Answer:

 (a) A  and B are similar but not congruent

Step-by-step explanation:

All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.

7k+42 is the result of adding the first five classroom numbers in a row.

These integers that follow one another in a predictable counting pattern are referred to as consecutive integers. Due to the fact that no numbers are skipped while listing consecutive integers in a sequence, the distance between them is always fixed.

The smallest classroom number on the building's side is k, and there are two spaces between each succeeding odd number.

The first classroom is K.

The second classroom is k + 2.

The third classroom is k + 4.

The third classroom is k + 6.

The fifth classroom is k + 8.

The sixth classroom is k+10.

The seventh classroom is k+12.

The seven classrooms are added together as follows: k + (k + 2) + (k + 4) + (k + 6) + (k + 8)+(k+10)+(k+12)

When we combine terms that are similar,

we obtain,

k + k + k + k + k+ 2 + 4 + 6 + 8+10+12 = 7k+42.

Therefore, 7k+42 is the result of adding the first five classroom numbers in a row.

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Answer:

24/25

Step-by-step explanation:

sin q = 24/25

Answer:

3(4) - 2 is 10 the value is 10

5(2) + 6 is 16 the value is 16

I hope this helps have a good day or night!

Answer:

The mistake was made when we rewrote the equation wrong after dividing 2 to both sides

Step-by-step explanation:

After we divide two on both sides the equation should have been rewriting as   [tex]2x-20=-6[/tex]     not       [tex]6x-20=-12[/tex]

Answer:

there will be only 1 more slice to eat

Answer: He bought three adult tickets and two child tickets

Step-by-step explanation:

The answer is 28$

2+2= 4

8+8= 16

16 + 4= 20

20 + 8 =28

He bought two child tickets and three adult tickets

Answer:

management accountant prepared a decision model which solve sell at split off or process

further decision problem. Which function did he provided?

A. Scorekeeping function C) Problem solving function

B. Attention directing function. D) Record keeping function E) None

Answer: <D, < E, <C

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

Answer:

see below.

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]8^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]

64 + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

17 = c

For the given triangle the coordinate of circumcenter is obtained as (1/3, 7/3).

The circumcenter for a triangle is defined as the center of the circle that touches all the vertices of the triangle. It is also found as the point of intersection of all of the perpendicular bisectors of the sides of triangle. All the vertices of the triangle are equidistant from the circumcenter.

Suppose the coordinate of the circumcenter be (x, y).

Now, all the vertices of the triangle should be equidistant from the circumcenter.

The equation can be written using distance formula as follows,

(x - 0)² + (y - 0)² = (x - 2)² + (y - 4)²

⇒ 4x + 8y = 20

⇒ x + 2y = 5                  (1)

And, (x - 0)² + (y - 0)² = (x - 5)² + (y - 1)²

⇒ 10x + 2y = 26

⇒ 5x + y = 13                  (2)

Multiply equation (2) by 2 nd then subtract equation (1) to get,

2(5x + y) -  (x + 2y) = 13 × 2 - 5

⇒ 9y = 21

⇒ y = 7/3

Substitute y = 7/3 in equation (1) to get,

x + 2 × 7/3 = 5

⇒ x = 5 - 14/3

⇒ x = 1/3

Hence, the coordinate of the circumcenter is given as (1/3, 7/3).

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Answer:

D.  b + c = 68

    0.08b + 0.15c = 6.00

Step-by-step explanation:

The total cost is $6.00

The total amount of copies is 68

To find the total cost, we multiply the amount of copies by the individual price. So we get

0.08b + 0.15c = 6.00

We add the amount of copies bought to get a total of 68, so we get this equation:

b + 6 = 68

The solution to the equation f(x)=g(x) are x=-2 and x=1.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.

Now, f(x)=g(x)

-x+6=-x²-2x+8

⇒ x²+x-2=0

⇒ x²+2x-x-2=0 (Splitting middle term method)

⇒ x(x+2)-1(x+2)=0

⇒ (x+2)(x-1)=0

⇒ x+2=0 and x-1=0

⇒ x=-2 and x=1

Therefore, the solution for the obtained equation are x=-2 and x=1.

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Answer:

Step-by-step explanation:

Let's call the four integers x, y, z, and w. We know that the mean of these four integers is 8, so:

x + y + z + w = 8 * 4 = 32

We also know that the median of these four integers is 6, which means that two of the integers are less than 6 and two are greater than 6. The mode of 6 means that one of the integers is 6.

Let's assume that x and y are the two integers that are less than 6. This means that z and w are the two integers that are greater than 6. We can then set up the following system of equations to represent this information:

x + y + z + w = 32

x + y < 12

z + w > 12

We also know that the range of these four integers is 14, which is the difference between the largest and smallest integers. Since z and w are the two largest integers, the range is equal to w - x. We can set up another equation to represent this information:

w - x = 14

We can solve this system of equations using substitution. First, we can solve the second equation for x:

x = 12 - y

We can then substitute this expression for x in the third equation to get:

w - (12 - y) = 14

w = 14 + y

Finally, we can substitute this expression for w in the first equation to get:

x + y + z + (14 + y) = 32

x + 2y + z = 18

We can then substitute the expression for x in the third equation to get:

(12 - y) + 2y + z = 18

-y + 2y + z = 18

z = 18 - y

We can then substitute this expression for z in the third equation to get:

w = 14 + y = 14 + (18 - z) = 14 + 18 - y = 32 - y

Substituting this expression for w in the first equation gives us:

x + y + z + (32 - y) = 32

x + 2y + z = 32

We can then substitute the expressions for x and z in the third equation to get:

(12 - y) + 2y + (18 - y) = 32

-y + 2y + 18 - y = 32

18 = 32

This equation is clearly not true, so the original assumptions we made about which integers were less than 6 and which were greater than 6 must be incorrect.

However, we can use a similar process to solve for the other possibility: that x and z are the two integers that are less than 6, and y and w are the two integers that are greater than 6.

In this case, we can set up the following system of equations:

x + y + z + w = 32

x + z < 12

y + w > 12

w - x = 14

Solving this system of equations using substitution gives us the solution x = 4, y = 10, z = 6, and w = 8.

Therefore, the four integers are 4, 6, 8, and 10.

The total area of the two lawns is 200 ft²

Area is the region occupied by an object.

Since Anton mows two lawns. The first lawn is 8 feet long and 5 feet wide. The second lawn has the same length, and width that is 4 times the first one, since the lawns are rectangles, their area is the area of a rectangle.

The area of a rectangle is given by

A = LW where

Given that for the first lawn it is 8 feet long and 5 feet wide, we have that

So, its area A = LW

= 8 ft × 5 ft

= 40 ft²

Also, for the second lawn, the same length, and width that is 4 times the first one. So, we have that

So, its area A' = L'W'

= 8 ft × 20 ft

= 160 ft²

So, the total area of the two lawns is A" = A + A'

=  40 ft² +  160 ft²

=  200 ft²

So, the total area is  200 ft²

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Answer: $71.53

Step-by-step explanation:

77.76 = 100%

The point of the compass located in order to make the arcs is points X and Y.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc. A circle contains an arc. For instance, a quarter-circle and a semicircle are both examples of arcs. A minor arc is one that is smaller than half of the circle it is a part of, or less than a semicircle, whereas a major arc is one that is more than half of its circle.

Given

The following figure was drawn using a straightedge and a compass.

The point of the compass located in order to make the arcs:

1. points X and Y

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the area of the generic rectangle will be x²-2x-15.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

Area of rectangle is A = a*b

(x + 3)(x - 5) in a generic rectangle

The product will give the area

x²-2x-15

hence the area of the generic rectangle will be x²-2x-15.

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Interior angle-

All interior angles of a regular polygon are equal. The formula for calculating the magnitude of the interior angle is:

Interior angle of polygon = sum of interior angles ÷ number of sides. The sum of the exterior angles of a polygon is 360°.

Exterior angle-

An exterior angle is an angle that is parallel to, but outside, the interior angle of a polygon. The exterior angle measurement is equal to the sum of the two opposite interior angles.

according to the question,

given data

interior angle=8 exterior angle

we know that,

interior angle+ exterior angle=180

let us consider ,

exterior angle=x

so we can say that,

8 exterior angle + exterior angle =180

8x+x=180

9x=180

x=20

we know that ,

the number of sides=360/x

=360/20

=36/2

=18

the number of sides of the polygon is 18

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The value of the x would be 9.

Option (A) is correct.

What is a complementary angle?

A complementary angle is an angle that, when added to another angle, forms a right angle (90 degrees). Complementary angles are pairs of angles that add up to 90 degrees.

Angle JKM and angle MKN are complementary angles

so

   (3x + 2) + (6x + 7) = 90

  9x + 9 = 90

  9(x + 1) = 90

     x + 1 = 10

    x = 9

Hence, the value of the x would be 9.

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After solving the equation the value of the x would be 9. Therefore, the correct option is A.

What is a complementary angle?

A complementary angle is a pair of angles that add up to 90 degrees. Complementary angles can be adjacent angles, or angles that share a common vertex and side, or they can be nonadjacent angles that have no common points or sides. Complementary angles are usually referred to by their sum, such as "90-degree angles" or "angles that add up to 90 degrees." Complementary angles can also be called supplementary angles when they add up to 180 degrees.

Angle JKM and angle MKN are complementary angles

so   (3x + 2) + (6x + 7) = 90

 9x + 9 = 90

 9(x + 1) = 90

    x + 1 = 10

   x = 9

Hence, the value of the x would be 9.

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