Please help with the question on the picture!

AP statistics: What is the easiest way to understand sample size?

Sveta_85 [38]

Answer:

Step-by-step explanation:

za/2: Divide the confidence interval by two, and look that area up in the z-table: .95 / 2 = 0.475. ...

E (margin of error): Divide the given width by 2. 6% / 2. ...

: use the given percentage. 41% = 0.41. ...

: subtract. from 1.

8 0

2 years ago

29 plus x Equals 90 im a lil smart so ntm

solniwko [45]

$29 + x = 90 \\ x = 61$

5 0

3 years ago

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

A total star eclipse occurs when the moon passed between the sun and the earth causing the sky to go dark. The length of darknes

skad [1K]

2 minutes and 23 seconds

8 0

3 years ago

f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de fun

nekit [7.7K]

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: $Dom \{f(x)\} = \mathbb{R}$

Codominio: $Ran \{f(x)\} = 4$

Asíntota: $y = 4$

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea $f(x) = 4$ , el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son $Dom \{f(x)\} = \mathbb{R}$ y $Ran \{f(x)\} = 4$ . No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ( $y = 4$ ) y carece de raíces al ser $f(x) \ne 0$ para todo $x\in \mathbb{R}$ .

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x -2 -1 0 1 2

y 4 4 4 4 4

5 0

3 years ago