The point B(-6, -2) is rotated 90° counterclockwise
coordinates of the resulting point, B'?

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]

Answer:

[tex]3\frac{1}{3}\ ft^3[/tex]

Step-by-step explanation:

A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:

Volume = width * height * length

From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.

The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.

The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.

The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.

The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =  [tex]3\frac{1}{3}\ ft^3[/tex]

Answer:

it is 3 1/3 good day

Step-by-step explanation:

Step-by-step explanation:

8 volume

Answer:

1000 cubic centimeters

Step-by-step explanation:

150 / 6 = 25

Square root of 25 = 5

5 * 2 = 10

10 * 10 * 10 = 1000 cubic centimeters

Given:

The equation of the trend line is:

[tex]y=-0.36x+12.6[/tex]

In this equation y represents the wind chill and x represents the wind speed.

To find:

The wind chill at 51 mi/h.

Solution:

We have,

[tex]y=-0.36x+12.6[/tex]

Putting [tex]x=51[/tex], we get

[tex]y=-0.36(51)+12.6[/tex]

[tex]y=-18.36+12.6[/tex]

[tex]y=-5.76[/tex]

Round the answer to the nearest degree.

[tex]y\approx -6^\circ[/tex]

Therefore, the wind chill at wind speed 51 mi/h is -6°.

Answer:

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Step-by-step explanation:

Given;

Amount of weight Kari lost in kilogram = 2.88 kilograms

Given scale;

1 kilogram = 2.2 pound

Find:

Amount of weight Kari lost in pound

Computation;

Amount of weight Kari lost in pound = Amount of weight Kari lost in kilogram x  2.2 pound

Amount of weight Kari lost in pound = 2.88 x 2.2 pound

Amount of weight Kari lost in pound = 6.336

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Answer:

2.3

Step-by-step explanation:

did the math

Answer:

152

Step-by-step explanation:

blue -- 8 x 2 = 16 x 2 = 32

green -- 8 x 6 = 48 x 2 = 96

red -- 6 x 2 = 12 x 2 = 24

96 + 24 + 32 = 152

Answer:

7,D all real numbers greater than or equal to 0

8,G all real numbers less than or equal to 2

Answer:

38.5 mm^2

Have a nice day!

Step-by-step explanation:

Area = πr^2

Area = π(3.5^2)

Area = π(12.25)

Area = 38.48451...

Area = 38.5

Answer:

y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)

Step-by-step explanation:

these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.

Answer:

Volume is: 972 and Surface area is 324

Step-by-step explanation:

How to get the volume is 9^3

That is 729

Times 4/3

972.

The surface area is 4 times 9^2

324.

You dont use the pie.

Answer: 5 large

Step-by-step explanation:

$6.75 per pizza for 4 large pizzas

$6.40 per pizza for 5 large pizzas

Answer:60

x=8.14

Step-by-step explanation:

Answer:

p=17.43

Step-by-step explanation:

To solve this I just subtracted

p=41.13-23.7

which is

p=17.43

Answer:

dont say that-

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

the bag has nothing purple marbles

Answer:

you are correct :D

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

because 3/4 hour is 45 minute and it takes 4/4 distance to their grandparents hous ein 4/4 hour so 45÷3=15, 15×4=60 which is 1hour

The Answer is A: 1 hour

Step-by-step explanation:

since they can drive 3/4 the distance in 3/4 hours, they can also drive 1/2 the distance in 1/2 hours and so on. If they want to visit the grandparent's house, they need to drive 4/4 the distance which is equivalent to 1 so it will take 1 hour for them to go to the house at the same rate.

A Tip From Me To You:

sometimes the question tries to trick you to make you overthink it so don't overthink it, try to just solve it simply.

Have a great day! <3

Answer:

The right answer is

tan D =80/18

Answer:

(5, 5), (7, 2), (3, 2)

Step-by-step explanation:

When reflecting a figure across the y-axis, the x value will be the opposite and the y value will remain the same

reflection across y-axis:

(x, y) ---> (-x, y)

Hope this helps!!

Answer:

D.30,40,50

Step-by-step explanation:

A.4,5,6

B.2,3,4

C.10,20,30

D.30,40,50

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

4² + 5² = 25 is not equal to the square of 6 which is 36

2² + 3² = 10 . 10  is not equal to the square of 4 which is 16

10² + 20³ = 500. 500  is not equal to the square of 30 which is 900

30² + 40² = 2500. this is equal to the square of 50

Answer:

[tex]x=\frac{106}{49}[/tex]

Step-by-step explanation:

Therefore, [tex]x=\frac{106}{49}[/tex] will be your final answer.

Answer:

If its t to the power - 1/3 then it is 1/512

Step-by-step explanation:

t^-1/3=8

(1/t) ^1/3 =8

1/t = 8 ^3

t=1/512

Answer:

1716

Step-by-step explanation:

I'm pretty sure

The manager can choose a group of 7 posters for a promotion in 1716 ways.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in a total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

A movie theater has 13 new release movie posters

the manager choose a group of 7 for posters.

When we choose 7 posters, the order does not matter.

So we use a combination

We need to find 7 from 13 new release movie posters.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^13C_7 = \dfrac{13!}{7! \times (13-7)!} ways.\\\\^13C_7 = \dfrac{13!}{7! \times6!} ways.\\\\^13C_7 = 1716[/tex]

The manager can choose a group of 7 posters for a promotion in 1716 ways.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Answer:

Triangle, pentagon, heptagon, and decagon.

Step-by-step explanation:

REMEMBER THIS:

DECAGON: 10 SIDES

HEPTAGON: 7 SIDES

PENTAGON: 5 SIDES

TRIANGLE: 3 SIDES

EXTRA INFO:

HEXAGON: 6 SIDES

QUADRILATERAL: 4 SIDES

OCTAGON: 8 SIDES

NONAGON: 9 SIDES