A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.45 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.45 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials

Step-by-step explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 = [tex]\rm{\dfrac{y}{2} + 1}[/tex]

y - 3 = [tex]\rm{\dfrac{y + 2}{2}}[/tex]

2y - 6 = y + 2

y = 8

Now, x = 8/2

x = 4

So, go for D part, it is the correct answer.

Good Night/Day !

Answer:

x = 4, y = 8

Step-by-step explanation:

For the triangles to be congruent by the HL theorem

Then the hypotenuse and legs must be congruent , that is

x + 1 = y - 3 → (1)

2x - 5 = y - 5 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + (- 5) - 1 = y - y + (- 5) - (- 3) , that is

x - 6 = - 2 ( add 6 to both sides )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 1 = y - 3

5 = y - 3 ( add 3 to both sides )

8 = y

Answer:

I don't know this stuff yet but I'll keep looking

Answer:

3pi or 9.42

Step-by-step explanation:

3/4x3.14x2x2=3pi or 9.42

Answer:

90 degrees

Step-by-step explanation:

Answer:

s = 1.81

Step-by-step explanation:

4.4(1.81)+6.2=8.8(1.81)-1.8

plug in and multiply if you'd like to clarify :)

Answer:

=Steps

4.4s+6.2=8.8s−1.8

Multiply both sides by 10

4.4s· 10+6.2· 10=8.8s· 10−1.8· 10

Refine

44s+62=88s−18

Subtract 62 from both sides

44s+62−62=88s−18−62

Simplify

44s=88s−80

Subtract 88s from both sides

44s−88s=88s−80−88s

Simplify

−44s=−80

Divide both sides by −44

−44s

−44 =

−80

−44

Show Steps

Simplify

s=

20/11

Step-by-step explanation:

Answer:

Yup, 11 is the answer. because 4 -15 is 11.

Answer:

25 in.

Step-by-step explanation:

DEC is a right triangle. <DEC is a right angle.

(DE)² + (EC)² = (DC)²

DE = ½DB = ½(48 in.) = 24 in.

(24 in.)² + (7 in.)² = (DC)²

576 in.² + 49 in.² = (DC)²

(DC)² = 625 in.²

DC = 25 in.

Answer:

11/6

Step-by-step explanation:

See the steps below:)

Answer:

A. 7 ft

Step-by-step explanation:

I calculated it logically

Answer:

703

Step-by-step explanation:

You divide the 8436 by 12.

1. You can't divide the 8 by 12 so skip that

2. You can divide 84 by 12 so you get 7

3. Bring down the 3 (you have 0 as a remainder). You can't divide that so put a 0

4. Bring down the 6 and divide that (36) and you get 3

5. Your final answer would be 703.

Answer: I would say that it is 7

Step-by-step explanation:

30 : 24

b : 4       (divide both sides by 6)

5 : 4

Equivalent to 5 would be 7

Sorry if its wrong

Answer:

Sorry about the last time this time I could find the images!

First problem: 120

Second problem: I believe its 140 but I dont know for sure so answer that at your own risk please

Third problem: same for this one I think it's 40

Fourth problem: 2160

9514 1404 393

Answer:

  both of them: x = -4, x = -735

Step-by-step explanation:

The meaning of "real root" is that the graph intersects the x-axis at that value of x. If the degree of the root is odd, the graph crosses there. (If the degree of the root is even, the graph only touches the x-axis.)

  f(x) = (x +4)(x +735)

has real roots at x = -4 and x = -735, so crosses the x-axis in those places.

Answer:

A, -475ft

Step-by-step explanation:

Answer: -475 ft

Step-by-step explanation: -95 x 5= -475

Answer:

2/19

Step-by-step explanation:

i just took the test and no one helped me i got is wrong but when you go back to review it it tells you the answer hope im not too late

The diameter can be thought of as the width of the circle, more or less. More accurately, it's the distance from one point on a circle, through the center, to a point on the opposite side.

If we had a circle at point A, and some point on the edge of the circle point B, then line AB will form a third point C. Point C is on line AB and on the circle. Segment BC is a diameter.

We can measure the diameter with a straight line ruler, but we cannot do the same with the perimeter of the circle. The circumference is just a fancy name for "perimeter". Specifically, it only applies to circles. The way I remember it is that "circle" has "circ" in it, and so does "circumference". Furthermore, we can erase some letters of "circumference" to end up with "fence", which would go along an outer perimeter in a lot of cases. Overall, "circumference" makes me think of "circle fence".

How can we find the perimeter of a circle? Well we could use a cloth ruler to wrap around the edge of the circle. We'd have to make sure that none of the bendable ruler is out of place. So things could get tricky.

To find the circumference with a formula, we'll use this one here

C = pi*d

where pi = 3.14 approximately and d is the diameter

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

For example, let's say the diameter is d = 10 feet. That would lead to a circle perimeter of....

C = pi*d

C = 3.14*10

C = 31.4

The circumference is approximate because pi = 3.14 is approximate. The units for the circumference in this case are in feet, so the distance around this particular circle is about 31.4 feet.

Answer:

Greatest would be Chlorine Krypton Argon Fluorine and least Hydrogen

Answer:

J, I, G, K, H.

Step-by-step explanation:

The elements go from least to greatest, and since they are negatives, we sort them from the highest negative to the lowest negative.

Answer:

1/2

Step-by-step explanation:

5 x 1/10 = 0.5

0.5 = 1/2

Answer:

                    1 / 2

Step-by-step explanation:

Step-by-step explanation:

A = Pi x r^2

r=4_____________

Answer:

50.26548

50.27 Rounded to the hundredths place .

Answer:

-3

Step-by-step explanation:

Answer:

(-9.15)

Step-by-step explanation:

We are given these following vectors:

u = (2,4), v = (-1,-1), w = (7,-2)

What is the vector for 3u + v- 2w in component form?

3u + v - 2w = 3(2,4) + (-1,-1) - 2(7,-2) = (6,12) + (-1,-1) + (-14,4) = (6 - 1 - 14, 12 - 1 + 4) = (-9, 15)

The answer is (-9,15).

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it

Answer:

5. 4186.67 in³

6. 1436.03 ft³

7. 3052.08 cm³

Step-by-step explanation:

5. Determination of the volume of the sphere.

Radius (r) = 10 in

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 10³

V = 4/3 × 3.14 × 1000

V = 4186.67 in³

6. Determination of the volume of the sphere.

Radius (r) = 7 ft

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 7³

V = 4/3 × 3.14 × 343

V = 1436.03 ft³

7. Determination of the volume of the sphere.

We'll begin by calculating the radius. This can be obtained as follow:

Diameter (d) = 18 cm

Radius (r) =?

r = d/2

r = 18/2

r = 9 cm

Finally, we shall determine the volume of the sphere. This can be obtained as follow:

Radius (r) = 9 cm

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 9³

V = 4/3 × 3.14 × 729

V = 3052.08 cm³

Answer:

a) x(x+1)

b) 3x(1-3)

c) 7x(1-5)

d) 4x²(x+6)

Step-by-step explanation:

When factorising, the most important thing to do is find what the terms have in common. Divide each term by what they have in common, then multiply it by the entire expression so the value doesn't change. Also, you can always check your answer by multiplying it out to see if you get what you started with.

a)

x² + x, both terms have 'x' in common:

x( (x²/x) + (x/x) ) = x(x+1)

b)

3x - 9x, both terms have '3x' in common:

3x( (3x/3x) - (9x/3x) ) = 3x(1-3)

c)

7x - 35x, both terms have '7x' in common:

7x( (7x/7x) - (35x/7x) ) = 7x(1-5)

d)

4x³+ 24x², both terms have 4x² in common:

4x²( (4x³/4x²) + (24x²/4x²) ) = 4x²(x+6)

it will cost abut $1.26! the exact answer being 1.2618, you can find this by multiplying 7.01 and 0.18, you round it up to something that can be an actual price! hope this helps! <3

Answer:

E

Step-by-step explanation:

Answer:

area of rectangle = l×b

or,40=8×b

or,40=8b

or,40/8=b

or,b=5cm is ans

Answer:

may be 13 I hope this is the right answer

Answer:

n + 8 = 9

therefore 9-8 = 1