Average rate of change question

Answer:

i). 14/75 or 19%

ii). 2/25 or 8%

Step-by-step explanation:

i). Using the combinations formula if repetition is allowed

If n choose r,

(r+n-1)!/r!(n-1)!

Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.

So our equation will be

(2+24-1)!/2!(24-1)!

(25)!/2!(23)!,

This gives us 300. So there is 300 possible combinations.

Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.

i) There is 14 good defects and 4 major defects so

[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]

So the probability is 14/75 or 19%

ii) We can do the same thing in question 1

There is 6 minor defects and 4 major so

[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]

So this means the probability is 8% or 2/25

387×$2.25=$870.75

hope it helps.

Answer:

The correct choice is option a.  (2x+5)(2x−5)

Answer:

Option a. (2x+5)(2x-5)

Step-by-step explanation:

4x2 - 25

Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:

a2 - b2 = (a + b) • (a − b)

As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:

4x2 - 25 = (2x)2 - 52

Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:

(2x + 5) • (2x − 5)

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I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

Step-by-step explanation:

6(4+8)

24+48

72 Answer

hope it helps

Answer:

6(x+8)

when the value of x we s equal to 4, then

6(4+8)

Now, by adding 4 and 8, we get

6(12)

6×12

Now, by multiplying 6 and 12, we get

72

Answer:

A. 5 in

Step-by-step explanation:

Let w represent the width of the frame.

If the length is 3 inches longer than twice the width, it can be represented by 2w + 3.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and 2w + 3 as l, and solve for w:

p = 2l + 2w

36 = 2(2w + 3) + 2w

36 = 4w + 6 + 2w

36 = 6w + 6

30 = 6w

5 = w

So, the width of the frame is 5 inches.

The correct answer is A. 5 in

Answer:

your gonna have to give me more details

Step-by-step explanation:

is this even a question

Answer:

-7, -11

Step-by-step explanation:just count down and up how many steps

Answer: 34

Step-by-step explanation:

[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

Answer:

[tex]f(2) = \frac{3}{2x - 5} [/tex]

Answer: so a^2 + b^2 = 5

Step-by-step explanation:

(a+b) = 3

ab = 2

so

(a+b)^2 = 3^2

a^2 + 2ab + b^2 = 9

or, a^2 + 2*2 + b^2 = 9

or, a^2 + 4 + b^2 = 9

or, a^2 +b^2 = 9-4 = 5

Answer:

B. y = [tex]\frac{2}{15} X + 2[/tex]

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = [tex]\frac{2}{15}(15) + 2[/tex]

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = [tex]\frac{2}{15}(0) + 2[/tex]

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = [tex]\frac{2}{15}(-15) + 2[/tex]

         0 = -2 + 2

        0 = 0 true

Good luck.

Answer:

when rounding anything that is or is greater than 5 you round up 1.

4,->7<-08.06

so rounding up 1, 4 would turn into 5.

Hi ;-)

[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEDMAS says parentheses first

Work from the inside out

9 - [4^2 - (5)]

9 - [16-5]

9 - [11]

Subtract

9-11

-2

9514 1404 393

Answer:

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.

Answer:

mkhhikbyjhggfikmnikkfyujikok

Answer:

foil method

add/subtract like terms

Step-by-step explanation:

b×2b=2b²

b×9=9b

-7×2b=-14b

-7×9=-63

-14b+9=-5

=2b²-5b-63

Answer:

(1/2)hb = Area of Triangle

s^2 = Area of Square

lw = Area of Rectangle

4s = Perimeter of a Square

2l + 2w = Perimeter of a Rectangle

a + b + c = Perimeter of a Triangle

Answer:

distributive property

Answer:

slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.

Step-by-step explanation:

Answer:

LetmarkedPricebeRsxofelectricfan

∴9%discountonxRupees

andchargestocustomeris728rupees

∴x−1009x=728,10091x=728,91x=728×100,x=756×100=800rupees

Step-by-step explanation:

MP of the fan​ is 2400.

To  find the mp of the fan​.

To buy goods from the shopkeepers in the market which they buy either directly from the manufacturers or through the wholesalers.

Given:

let’s calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

Now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

So, the MP of the fan​ is 2400.

Learn more about profit and loss here:

https://brainly.com/question/24431998

#SPJ2

Answer:

[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]

I hope I helped you^_^

Answer:

7 is the answer hope this helps

Answer:

4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6

Answer:

B in the photo

Step-by-step explanation:

another way to write the problem:

square root is also taking the 1/2 power:

[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]

since they are raised to the same power:

[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]