Compare- 6 broken bulbs out of 20 or 7 broken bulbs out of 30

Answer:

Midpoint: (2.4, -1)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

With that in mind,

(3.2 + 1.6)/2 = 2.4

(2.5 - 4.5)/2 = -1

Answer:

(2.4, -1)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates

(3.2+1.6)/2 = 4.8/2 = 2.4

To find the y coordinate of the midpoint, average the y coordinates

(2.5+-4.5)/2 = -2/2 = -1

(2.4, -1)

Answer:

117, 118

Step-by-step explanation:

if 2 consecutive numbers have a sum of 235, then

Let the 2 numbers be n and n+1

Given That:

n + n+1 = 235

Simplify and solve:

2n + 1 - 235

2n = 234

n = 117.

If n = 117, then n +1 = 118. These are the 2 consecutive numbers.

Hope this helps.

Good Luck

Answer:

236 AND 237

Step-by-step explanation:

Two consecutive numbers means next two continuous numbers

Answer: D. NONE OF THESE CHOICES ARE CORRECT.

Step-by-step explanation:

This situation represents a linear function graph because as you save up over the months the money goes up as well.

Answer:

.........................?

Answer:

binomial

Step-by-step explanation:

A binomial is a polynomial with 2 terms

5a+2b has two terms

Answer:

A = {MOPN, MPON, PMON, POMN}

Step-by-step explanation:

Everybody has already decided that Naim is the last skater, so we need to make sure the result is 'N' in each last position. As we can see all of them have this.

However, we just need to make sure that Oliver doesn't first, because even if they're attempting to decide, the question is calling for the inclusion in which "Oliver is the very first skater in the race."

A complement is all the NOT values in the package or set, so it cannot be either A = {OPMN, OMPN) or A = {MOPN,MPON, OPMN, POMN), since all of them have at minimum one case where 'O' is first.

A complement is ALL other values of the set, and it can not be A = {MOPN, PMON}, since only two possible values are included in that package or set

Answer:

Step-by-step explanation:

Its d yall

Answer:

t ≤ 4.24

Step-by-step explanation:

P(t) ≥ 40000 implies

500t/(2t²+9) ≥ 40000

Multiplying through by t², we have

500t ≥ 40000(2t²+9)

500t/40000 ≥ 2t²+9

Collecting like terms

0.0125t  ≥ 2t²+9

0  ≥ 2t²+ 9 - 0.0125t

2t²+ 9 - 0.0125t  ≤ 0

2t²- 0.0125t + 9 ≤ 0

Using the quadratic formula,

[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]

The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)

So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0

(t - 0.00313)² - 4.24² ≤ 0

(t - 0.00313)² ≤ 4.24²

taking square-root of both sides,

√(t - 0.00313)² ≤ √4.24²  

t - 0.00313 ≤ 4.24

t ≤ 4.24 + 0.00313

t ≤ 4.24313 ≅ 4.24

t ≤ 4.24

Answer:

x = 360° - 132° - 54° - 90°

x = 84°

Step-by-step explanation:

total degree of a cirlce is 360°

Answer:

[tex]84 \: \: degrees[/tex]

Step-by-step explanation:

[tex]90 + 132 + 54 + x = 360 \\ 276 + x = 360 \\ x = 360 - 276 \\ x = 84 \: \: degrees[/tex]

Answer: 0.5

Step-by-step explanation:

Total bags (U) = 140

Number of bags with both button and zip:

(48 + 47 + x + 22) = 140

117 + x = 140

x = 140 - 117

x = 23

Therefore, probability that bag has button :

Total Number of bags with button:

(Bags with button alone + bags with both button and zip)

(47 + 23) = 70

Probability = (required outcome / Total possible outcomes)

P(bag has button) = (number of bags with button / total number of bags)

P(bag has button) = 70/140 = 0.5

P(bag has button) = 0.5

Answer:

here

Step-by-step explanation:

a= 4. 8, 12

b= 4, 7, 10

d= 3, 6, 11

e= 3, 12, 27

Answer:

1) Business costs less. It costs $8 less.

2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.

Answer : 96

x – y = 16 --------> equation 1

1/8 x + 1/2 y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

1/8 x + 1/2 ( -16 + x ) = 52

1/8x - 8 + 1/2 x = 52

1/8x + 1/2x - 8 = 52

Take common denominator to combine fractions

1/8x + 4/8x -8 = 52

5/8x - 8 = 52

Add 8 on both sides

5/8x = 60

Multiply both sides by 8/5

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

The higher grade and lower grade of Jose’s two tests will be 96 and 80.

The solution of the equation means the value of the unknown or variable.

Jose asks his friends to guess the higher of two grades he received on his math tests.

He gives them two hints.

Let x be the higher number and y be the lower number.

The difference of the two grades is 16.

x - y = 16      ...1

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

x/8 + y/2 = 52

x + 4y = 416     ...2

Subtract equation 1 from 2, we have

4y + y = 416 – 16

     5y = 400

       y = 80

Then the value of x will be

x – 80 = 16

        x = 80 + 16

        x = 96

The higher grade and lower grade of Jose’s two tests will be 96 and 80.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

The answer is B.

Step-by-step explanation:

Instead of solving each equation, simply think about it alternatively.

Recall that quadratic equations can also be written as: [tex](x-a)(x-b)[/tex], where [tex]a[/tex] and [tex]b[/tex] are the solutions.

We know that 1 and -3 are solutions, so we can substitute them in for [tex]a[/tex] and [tex]b[/tex].

Thus, we have:

[tex](x-(1))(x-(-3))[/tex]

[tex](x-1)(x+3)[/tex]

Now, expand:

[tex]x^2+3x-x-3[/tex]

[tex]x^2+2x-3[/tex]

The answer is B.

Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

so

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer:

C

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] → C

Answer: 25

Step-by-step explanation:

From the question, we are told that a producer of electronic book readers is performing a quality check to make sure that the reader's backlight is working correctly. Then, the plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction 1/x is the experimental probability of a book reader having a defective backlight. What is the value of x?

Number of tested readers= 2000

Defective backlight = 8

Probability of having a defective backlight will be the number of defective backlight divided by the number of readers tested. This will be:

= 8/200

We reduce the nice fraction to its lowest term.

8/200 = 1/25

Therefore x will be 25

Answer:

250

Step-by-step explanation:

two thousand divided by eight = 250

2000/8=250

Answer:

46

Step-by-step explanation:

=> [tex]10+7^2-14+1[/tex]

=> 10+49-14+1

=> 59-14+1

=> 45+1

=> 46

Answer:

46

Step-by-step explanation:

10+7^2-14+1

10+49-14+1

59-14+1

45+1

46

Answer:

pls mark as brainliest

Step-by-step explanation:

let the ratio be= 2:1

let the boys be= 2x

let the girls be= 1x=x

x+24=2x

x-2x=-24

-x=-24

so the minus sign will cut

x=24

2x=2×24

Boys in the class are 48

hope it helps you

Answer:

48 boys

Step-by-step explanation:

girls: x, boys: 2x

x+24=2x

24=x

girls=24, boys=48

Answer:

23/2

Step-by-step explanation:

If x = 5,

y = 5 + 1 = 6

(5+6) + 1/2 = 11 + 1/2 = 23/2

Answer:

8 x^6  y^3

Step-by-step explanation:

(2x^2y)^3

(ab)^c = a^c  * b^c

2^3  * x^2^3  * y^3

8  * x^2^3  * y^3

We know that a^b^c = a^(b*c)

8  * x^(2*3)  * y^3

8  * x^(6)  * y^3

8 x^6  y^3

Answer:

54 sweets altogether

Step-by-step explanation:

Jim: 27

Dan:

David:

3:2:1

The amount is divided by 6

27/3=9

Dan— 9*2=18

David— 9*1=9

18+9+27=54

Answer:

[tex] a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]

Step-by-step explanation:

[tex] {3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]

Step-by-step explanation:

Step-by-step explanation:

\begin{lgathered}{3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}\end{lgathered}

3

5

6

=

5

3

6

equatingitwith

c

a

b

wefind

a=

3

b=

6

c=

5

Answer:

B. Pentagon

Step-by-step explanation:

A cross-section is basically the 2D figure created by slicing through a 3D shape.

Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.

Here, the two bases are pentagons, so we know the cross-section will be a pentagon.

Thus, the answer is B.

~ an aesthetics lover

Answer:

(x1,y1)=(−2,2)

(x2,y2)=(0,−2)

Use the slope formula:

m= y2−y1 /x2−x1

= −2−2 /0−−2

= −4 /2

=−2

Answer:

m=−2 This is the slope

So,the slope intercept form for 2 points is y-y1=m(x-x1)   m=slope  

y-y1=m(x=x1)

y-2=-2(x-(-2)     ( - and - is +) So,the final equation is:

y-2=-2(x+2)

I hope this help you :)

Answer:

You could simply go to your course selection book (if there is one) and see if it's there. If not, then ask your guidance counselor for help or if you can automatically advance.

Step-by-step explanation:

Answer:

B. 12 ft²

Step-by-step explanation:

Area of a parallelogram is equal to the product of its base and its height.

b × h

4 × 3 = 12

The area of the parallelogram is 12 feet squared.

Answer:

Every hexagon tessellates.

Step-by-step explanation:

Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  [tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]

  [tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]

so the solutions are

x = 6

y = 8

x = 10

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

Solving the quadratic equation we get:

Answer:

2x2−12x+7=0

a≠1,a=2 so divide through by 2

22x2−122x+72=02

which gives us

x2−6x+72=0

Step-by-step explanation:

Input:

{F(x) = 3 x + 1, 1/f = x - 1/3 f(2)}

Result:

{F(x) = 3 x + 1, 1/f = x - f(2)/3}

Alternate forms:

{3 x + 1 = F(x), 3 x = f(2) + 3/f}

{F(x) = 3 x + 1, f(2) = 3 x - 3/f}

{F(x) = 3 x + 1, 1/f = 1/3 (3 x - f(2))}

Alternate form assuming f and x are positive:

{3 x + 1 = F(x), 3 f x = f(2) f + 3}

Step-by-step explanation:

m=y2-y1/x2-x1

m=0-(-2)/4-2

m=2/2

m=1