The average no. of defective components
on o repairing a computer is found to 1 in 10
find the probability of getting exactly 3
defective components among 10 repaired
computer selected at random.​

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

Can I have a picture so I can give you one

Step-by-step explanation:

thank you

Answer:

sorry dko alm hahahahahahahahajshaja

Answer:

x=90 and seand66 3 is 66 4 is 99 6 is 28 7 is33

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer:

13 edges

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2 ( F is faces, V is vertices and E is edges ) , then

5 + 10 - E = 2

15 - E = 2 ( subtract 2 from both sides )

13 - E = 0 ( add E to both sides )

13 = E

The polyhedron has 13 edges

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

1/2 = 4/8 so  7/8- 4/8 = 3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

find greatest common factor wich will be 8, u need to multiply 2 by another number to get the denominator of 8

8÷2=4 so 2×4=8

multiply 1/2 by 4 to get a denominator of 8 and numerator of 4

now u have 7/8 -4/8 =3/8

Answer:

0.405

Step-by-step explanation:

move the decimal point one spot to the left with each power of 10 or zero

let me know if u have more questions or are still struggling :]

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

u = -9

Step-by-step explanation:

Answer:

u=-9

Step-by-step explanation:

2u+2u=4u

6-42=-36

-36/4

-9

Step-by-step explanation:

a=15

b=8

c=17

*

\(a^{2} + b^{2} = c^{2}\)

\((15)^{2} + (8)^{2} = (17)^{2} \)

289=289

Proved

Answer:

If it's the area than A = πr²= 3.14 * 16 = 50.2ft²

Answer:

Step-by-step explanation:

Bấm máy tính hệ phương trình là ra

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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Answer

​​  -4/3

Step-by-step explanation:

9514 1404 393

Answer:

  40°

Step-by-step explanation:

Since DP is an angle bisector, the angles it creates are congruent:

  ∠1 = ∠2 = 20°

The requested angle is the sum of the measures of angles 1 and 2:

  ∠FDE = ∠1 + ∠2 = 20° +20°

  ∠FDE = 40°

The sum (A+B)(x) and difference (A-B)(x) of two quadratic functions A(x) and B(x) were found, along with their values for x=5, vertices, intercepts, and where they are increasing/decreasing.

To find (A+B)(x), we simply add the two functions:

(A+B)(x) = A(x) + B(x) = (\(-0.25x^2+20x\)) + (\(-0.19x^2+15.2x\)) = \(-0.44x^2\) + 35.2x

To find (A-B)(x), we simply subtract B(x) from A(x):

(A-B)(x) = A(x) - B(x) = (\(-0.25x^2+20x\)) - (\(-0.19x^2+15.2x\)) = \(-0.06x^2\) + 4.8x

When x=5, we can evaluate each expression:

(A+B)(5) = \(-0.44(5)^2\) + 35.2(5) = 60

(A-B)(5) = \(-0.06(5)^2\) + 4.8(5) = 12

To find the vertices and intercepts of the functions A(x) and B(x), we can use the vertex and intercept formulas for quadratic functions:

For A(x):

Vertex = (-b/2a, f(-b/2a)) = (-20/-0.5, A(20/-0.5)) = (40, 400)

x-intercepts: 0 = \(-0.25x^2\) + 20x, so x = 0 or x = 80

y-intercept: A(0) = 0

For B(x):

Vertex = (-b/2a, f(-b/2a)) = (-15.2/-0.38, B(15.2/-0.38)) = (40, 304)

x-intercepts: 0 = \(-0.19x^2\) + 15.2x, so x = 0 or x = 80

y-intercept: B(0) = 0

Both functions are decreasing for x < 40, and increasing for x > 40. The vertex (40, 400) is the maximum point for A(x), and the vertex (40, 304) is the maximum point for B(x).

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Answer:

x=13.5

Step-by-step explanation:

that is my answer

Answer:

w=39 degrees and r=51 degrees

Step-by-step explanation:

The sum of the angles in a triangle should equal 180 degrees. Knowing this we take (38+103) - 180 = 39. Since opposite angles are always congruent, we can conclude that w is also 39 degrees. Thus we take (39+90)-180 = 51 degrees. (We know that one side is 90 degrees because it has a right angle)

Hope that helps! :)

Answer:

c is the right answer

Answer:

A

Step-by-step explanation:

I say a because it's supposed to bring the Venn diagram alone

Equation: \(6xt^4yz^3 + 10a = 1\). Number of terms: 2, Coefficients: 6, 10 and Constants: 1.

Equation: \(25abc^2ab + 3ac6bc + 25\), Number of terms: 3. Coefficients: 25, 3, 6. Constants: 25

What is equation and an expression?

A random combination of integers, variables, functions, etc. can be described as an expression. An expression is, for instance, 3x - 2. An equation, on the other hand, is created when two independent expressions are joined by the equal to sign. An equation, for instance, is when 3x - 2 = 5 + x.

Equation/Expression: 6xt⁴yz³ + 10a = 1

Number of terms: 2

Coefficients: 6, 10

Constants: 1

Equation/Expression: 25abc²ab + 3ac6bc + 25

Number of terms: 3

Coefficients: 25, 3, 6

Constants: 25

Equation/Expression: 25y³xy + 5 = 100

Number of terms: 2

Coefficients: 25, 1

Constants: 5, 100

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Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

Approximate of error = 11.11 % (Approx.)

Step-by-step explanation:

Given:

Exact value = 50

Approximate value = 45

Find:

Approximate of error

Computation:

Approximate of error = [(Exact value - Approximate value)/Approximate value]100

Approximate of error = [(50 - 45)/45]100

Approximate of error = [(5)/45]100

Approximate of error = [0.11111]100

Approximate of error = 11.11 % (Approx.)

\(\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)

D. 400 sq units

The surface area of the right prism given below is 432 square units.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a right prism.

The right prism consists of three rectangular faces and two triangular faces.

Area of a triangular face = 1/2 × 8 × 6 = 24

Area of two triangular faces = 2 × 24 = 48 square units

Area of rectangular faces = (10 × 16) + (8 × 16) + (6 × 16)

                                          = 384 square units

Total area of the prism = 48 square units + 384 square units

                                      = 432 square units

Hence the total area of the prism is 432 square units.

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Answer:

C: 174 L: 643

Step-by-step explanation:

I don’t know how

The side of the square cutout that gives the box the largest possible volume

Therefore the answer is d) 2450/27 in.

To find the side length of the square cutouts that give the box the largest volume, we need to find an expression for the volume of the box in terms of the side length of the square cutouts. We can start by subtracting four times the area of one square cutout from the total area of the tin sheet to find the area of the box sides. The volume of the box will then be equal to the area of the box sides multiplied by the height.

The side length of the square cutouts can be represented by x. The area of one square cutout is x^2, so the total area of the four cutouts is

4x^2

The area of the tin sheet is 8 * 15 = 120. The area of the box sides is then

120 - 4x^2

The volume of the box is then (120 - 4x^2) * 8, which we want to maximize. To do this, we can differentiate the expression for the volume with respect to x and set it equal to zero, then solve for x. The solution to this optimization problem is

x = 2450/27, which is the side length of the square cutouts that gives the box the largest volume.

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