1. What is the absolute value of -45?

Answer:

a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]

b) 0.03

c) 0.15

d) La media es 0.55

La varianza es 8.[tex]\overline 3[/tex]

Step-by-step explanation:

La variación del espesor del componente de la aeronave = 0.05 a 1.05

El pdf de la variable 'X' se da de la siguiente manera;

[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05

a)

[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]

b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;

P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03

P(X > 1.02) = 0.03

La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03

c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;

P(X > x) = 1 - F(x)

∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)

x - 0.05 = 1 - 0.9 = 0.1

x = 0.1 + 0.05 = 0.15

∴ El espesor excedido en el 90% de los bordes, x = 0.15

d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;

[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]

Para la distribución de espesor de borde dada, tenemos;

0.05 < x < 1.05

[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]

El significado E(X) = 0.55

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]

La varianza, V(X) = 8.[tex]\overline 3[/tex]

X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Answer:

-5

Step-by-step explanation:

4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5

Answer:

I want to say B or D please tell me if I'm right lol

Answer:

8 rooms

Step-by-step explanation:

6 ÷ 3/4 which equals 6 x 4/3 = 8

Answer:

8 rooms

Step-by-step explanation:

6 / (3/4) = 8

Answer:

try just 10. without the (-)

Answer:

8 14

Step-by-step explanation:

Answer:

3 - 21m

Step-by-step explanation:

-4 + 7(1-3m)

-4 + 7 - 21m

3 - 21m

Answer:

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points

Answer:

u need to breath and calm down

Step-by-step explanation:

breath in and out for 5 sec u will feel better

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To know more about fraction here

https://brainly.com/question/30154928

#SPJ2

Answer:

600M

Step-by-step explanation:

Convert miles to meters. Then convert the fractions. 1000M divided by 5 = 200. Now times by the numerator of the fraction, which is 4. This gives you 800. Now, 3/4 of 800 = 600. as you divide by the denominator, and times by the numerator. The answer is 600M, or 0.6 Miles.

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

9514 1404 393

Answer:

  C  413.3K

Step-by-step explanation:

Temperature is proportional to volume and pressure. Pressure has decreased by a factor of 2/3, and volume has increased by a factor of 400/200 = 2. So, the new temperature is ...

  (310 K)(2/3)(2) = 413 1/3 K ≈ 413.3 K

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

Answer:

6/35

Step-by-step explanation:

3/7 : 2 1/2

2 1/2 = (2*2+1) / 2 = 5/2

3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35

Answer:

A. contract

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Answer:

12cm squared

Step-by-step explanation:

The area of a triangle is 1/2bh

A = 1/2 x 4 x 6

A = 4 x 3

A = 12 cm squared

Answer:

The answer is B: 12 cm^2.

Step-by-step explanation:

The formula for the area of a triangle is b * h / 2 (base times height divided by two).

6 * 4 = 24

24 / 2 = 12

And since we're looking for area, the answer would be squared, as all areas are.

The answer: 12 cm^2.

Brainliest would be really really greatly appreciated!!!!

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

B

Step-by-step explanation:

its a right angle and one point is 40 as shown already so 90-40=50 hope this helps

So you would take your 90° angle which is the box on the bottom right hand corner and add 40° which would equal 130° and then you would subtract 180° -130° and you would get 50°.

Answer:

A, C, E

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

Learn more about concept here:

brainly.com/question/14491091

#SPJ2

Answer:

volume = 84

Step-by-step explanation:

simple: volume = base x height

6 x 14 = 84

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

a) 10 - 1/4x = 7

   1/4x = 7 + 10

           = 17

   x = 17/ (1/4)

b) 3 (x + 8 ) = 21

   x + 8 = 21/3

            = 7

   x = 7 - 8

      = -1