Put the following equation of a line into slope-intercept form, simplifying all
fractions.

Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Answer:

fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one

Step-by-step explanation:

Answer:

The company must replace 0.0042 = 0.42% of packages.

Step-by-step explanation:

For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is known that screws produced by a certain company will be defective with probability 0.01.

This means that [tex]p = 0.01[/tex]

The company sells the screws in packages of 10

This means that [tex]n = 10[/tex]

That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]

[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]

The company must replace 0.0042 = 0.42% of packages.

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

Answer:

<15

Step-by-step explanation:

Answer:

b=8

Step-by-step explanation:

You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

Answer:

(x+)^3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Do I need to explain?

Answer:

D(8)

Step-by-step explanation:

So remember, 2 opposite sides of a triangle are equivelent.

We know that one of these sides are 3.

So the other side must be 3 as well.

This is 2 of the 4 sides of a rectangle.

If each side is 3, and there are two sides, this means that they add up to 6.

Subtract this from your total permiter:

22-6

=

16

Now remember, there are 2 sides left.

To find the answer, divide the 16(permiter left) by the 2(sides left):

16/2

=

8

This is your answer!

Hope this helps! :)

Answer:

x=63

Step-by-step explanation:

The degree measure of a line is 180 degrees.

180 degrees is made up of 117 and x

117+x=180

x=63

Answer:

52=8n +4

4=52-8n

are equivalent

Answer:

a, b, c, e

Step-by-step explanation:

4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.

4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.

4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.

n = 6 is the solution to the equation so it is equivalent.

Answer:

Your answer is C

Step-by-step explanation:

You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3

Answer:

b. gain of 279 pounds

Step-by-step explanation:

107+85-27+114 = 279

Answer:

9100 + 107 + 85 - 27 + 114

Total weight = a. 9379 pounds

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

Answer:

he would need 2 2/8 cups of milk

Step-by-step explanation:

you would just  need to subtract 3 7/8 from 6 1/8

6 1/8 - 3 7/8 = 2 2/8

Answer:

A- most of the data in each plot is greater than 48

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

a

Answer:

4) 60 ft.²

5) 96 cm.²

6) 96

7) 126

8) 72

9) 32

10) 90

11) 216

(Formula for the area of a rectangle: length x width)

(Remember to follow PEMDAS when calculating the problems.)

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

Answer:

I believe it to be 80 pieces if they are all cut into 8 pieces

Step-by-step explanation:

Answer:

I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.

Step-by-step explanation:

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

Answer:

it's C

Step-by-step explanation:

Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).

Hope I helped

Answer:0.51 I just took the test

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

2x+2 = 4x-14

16=2x

x=8

Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.

Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Shoelace formula (Green’s Theorem)

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Where A is the area of the polygon and n is the number of sides of the polygon.

Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20

A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]

60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]

60 = [tex]\frac{1}{2} |40-10x|[/tex]

60 = [tex]|20-5x|[/tex]

So 20 - 5x = -60

5x  = 80

x = 16

20 - 5x = 60

5x  = -40

x = -8

since x is a negative value,

we can know x = -8

Hence the value of x is -8.

Find out more information about green's theorem here

brainly.com/question/27549150

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Work Shown:

b1 = 14 and b2 = 6 are the two parallel bases

h = 9 is the height

A = area of trapezoid

A = h*(b1+b2)/2

A = 9*(14+6)/2

A = 9*20/2

A = 9*10

A = 90 square meters