An electronic office product contains 5100 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 2 or more of the original 5100 components fail during the useful life of the product. Use normal approximation. Round your answer to 3 decimal places.

Answer: A

Step-by-step explanation: both triangle have a congruent side, angle, and second side

Answer:

A and D

Step-by-step explanation:

A.

2(10)=20

2(24)=48

20+48

D.

4(5)=20

4(12)=48

20+48

i hope this helps!

Answer:

a,c,e

Step-by-step explanation:

yes

Answer:

-11

Step-by-step explanation:

plz mark as brainliest.

Answer:

-11

Step-by-step explanation:

the absolute value of 33 is 33, and the absolute value of 3 is 3, but the negative sign is outside of the absolute value bars, so the answer is negative. the simpler equation shouldlook like this

33÷-3=___

and 33÷-3= -11

Answer:

g(3−2x)=12x2−36x+29

Step-by-step explanation:

Do you need step by step?

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

Answer:

q = [tex]-\frac{17}{5}[/tex]   or -3.4

Step-by-step explanation:

Answers:

Each count above refers to the number of baskets made for the given player.

====================================================

Explanation:

For each player, let the following variables represent how many baskets were made

So for example, if D = 10, then this means Daniel made 10 baskets. Though for now, we're not sure what number replaces D or any given letter.

------------------

"Daniel remembers that he made three times as many baskets as Ben" tells us that D = 3B is one equation

We know another equation is M = B+6 since Max made six more baskets than Ben

Another equation is C = T because these two students (Christion and Mitchell) made the same number of baskets.

We also know that T < B since Mitchell made fewer baskets compared to Ben.

Altogether the boys made 40 baskets total, so B+M+T+C+D = 40

-------------------

We have these five mathematical statements

Let's focus on the last equation

B+M+T+C+D = 40

B+M+T+C+3B = 40 .... plug in D = 3B

4B+M+T+C = 40

4B+M+T+T = 40 .... plug in C = T

4B+M+2T = 40

4B+B+6+2T = 40 .... plug in M = B+6

5B+6+2T = 40

5B+2T = 40-6

5B+2T = 34

Now let's solve for T

5B+2T = 34

2T = 34-5B

2T = -5B+34

T = (-5B+34)/2

T = (-5B)/2 + 34/2

T = -2.5B + 17

----------------------------------

We've eliminated everything but two variables at this point.

Let's say that x replaced B and y replaces T

We get the equation y = -2.5x + 17

If you graph this equation along with y = x, you'll find that the two equations intersect at roughly (4.857, 4.857)

Since we want T < B, this means we want y < x to be the case. The line y = -2.5x+17 goes downhill as we move from left to right. If x is smaller than 4.857, then x >= y. Otherwise, if x is larger than 4.857, then y < x

Furthermore, looking at a table of values for this equation shows that only (x,y) = (6,2) is a point on y = -2.5x+17 such that both x and y are positive and x is the larger value, and they are both integer coordinates.

All of this means that when B = 6, this pairs with T = 2. No other number pair is possible for these two students.

We then use this to find the other player's basket count

----------------------------------

So we have the following results

As a check,

B+M+T+C+D = 6+12+2+2+18 = 40

which confirms our answers.

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent baskets made by Ben and Mitchell, respectively. Then Daniel made 3x baskets, Max made (x+6) baskets, and Christion made y baskets. The total number is ...

  x + 3x +(x+6) +y +y = 40

  5x +2y = 34 . . . . . . . . . . . subtract 6

The other constraint on the solution is ...

  y < x . . . . . . . . . Mitchell made fewer baskets than Ben

__

We can see that 34 differs from a multiple of 5 by an even number, so (by inspection) we determine that (x, y) = (6, 2) is a solution to the equation. (It is also a solution to the inequality.)

Other possible solutions will require y increase by 5 as x decreases by 2, so those are ...

  (x, y) = {(6, 2), (4, 7), (2, 12), (0, 17)}

The only (x, y) pair that satisfies the inequality is the first one: (x, y) = (6, 2). Hence the numbers of baskets are ...

Answer:

i love that video

Step-by-step explanation:

it was so interesting

i love it

Answer: 3.75, 5.5

Step-by-step explanation:

Answer:

3576 ÷by 38= 94

Step-by-step explanation:

I think this ans may help you

Answer:

The answer is 94.1052631579

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C, from the equation y=mx+c

The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

The center of the circle is (0, 0) or the origin.

The radius of the circles is given.

As we know, the standard equation for the circle is:

(x - h)² + (y - k)² = r²

Here (h, k) is the center and r is the radius of the circle.

a) Centre origin, radius 3/2

Plug h = 0, k = 0, and r = 3/2

x² + y² = (3/2)²

x² + y² = 9/4

Similarly,

b) Centre origin, radius 0.5

x² + y² = 0.25

c) Centre origin, radius √3

x² + y² = 3

Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

Learn more about circle here:

brainly.com/question/11833983

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Answer:

i graphed it for you in a calculator

Answer:

F/m=a

Step-by-step explanation:

Answer:

Graph of equations provided in the attached image.

Step-by-step explanation:

Answer:

K = - 4

Step-by-step explanation:

And i don't have a paper now so I cann't to complet the table sorry

Answer:

500+500=1,000

Step-by-step explanation:

I hope this helps!

Answer:

189.3 square inches, 55.7 inches

Step-by-step explanation:

Area = area of rectangle + area of semicircle

area of rectange = 10 * 15 = 150 square inches

radius of semicircle = 10/2 = 5

area of circle = (pi * 5^2)/2 = 12.5pi square inches

total area = 150 + 12.5pi = 189.3 square inches

total perimeter = perimeter of rectangle - left side + perimeter of semicircle

perimeter of rectangle = 10 + 15 + 15 = 40 inches

perimeter of semicircle = 10pi/2 = 5pi inches

total perimeter = 40 + 5pi = 55.7 inches

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

To know more about differentiation click on,

https://brainly.com/question/24898810

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Answer:

y=52

x=46

questions 3

x=84

y=84

Step-by-step explanation:

Answer:

#2:   x = 64      y = 32[tex]\sqrt{3}[/tex]

#3:   x = 6[tex]\sqrt{2}[/tex]      y = 6[tex]\sqrt{2}[/tex]

Or, if you are supposed to write your answers in decimal form instead:

#2:   x = 64      y = 55.43

#3:   x = 8.49      y = 8.49

Step-by-step explanation:

Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)

#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32[tex]\sqrt{3}[/tex].

#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x[tex]\sqrt{2}[/tex] (or y[tex]\sqrt{2}[/tex], since x = y). This means 12 = x[tex]\sqrt{2}[/tex]

Answer:

r=d/2=18/2=9cm

area of the semicircle=1/2 (πr²)=1/2 (3.14×9²)=127.17cm²

Answer:

Surface area: 92 cm2

Volume: 60 cm3

Step-by-step explanation:

Hope this helps and tell me in the comments if it is correct or not.

Answer:

y + 3x = 64

y - 3x = 32

(8,40) is the solution to the system

(Basically A & D)

Step-by-step explanation:

1 large + 3 small = 64 y+3x=64

1 large - 1 small = 32 y-x=32

(12,10) cannot be a solution because the small box (x) holds more than the large box (y).

Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32

Answer:

The Ladder Reaches 15Ft Up The Wall

Step-by-step explanation: