When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?

PLEASE SOMEONE HELP I TRULY DO NOT UNDERSTAND

IceJOKER [234]

Hi there!

$\large\boxed{f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} } }$

$f(x) = 9x^{3} - 4$

Find the inverse by replacing f(x) with y and swapping the x and y variables:

$x = 9y^{3} - 4$

Isolate y by adding 4 to both sides:

$x + 4 = 9y^{3}$

Divide both sides by 9:

$\frac{x+4}{9}= y^{3}$

Take the cube root of both sides:

$y = \sqrt[3]{\frac{x+4}{9} }\\\\f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} }$

7 0

3 years ago

A cylinder has a height of 13 centimeters and a radius of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer

Roman55 [17]

Answer:

Volume of a cylinder = 653.12 cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

Height, h = 13 cm

Radius, r = 4 cm

π = 3.14

Volume of a cylinder = πr²h

= 3.14 × (4cm)² × 13 cm

= 3.14 × 16 cm² × 13 cm

= 653.12 cm³

Volume of a cylinder = 653.12 cm³

4 0

2 years ago

Read 2 more answers

Does the following table show a proportional relationship between the variables x and y? x 5/6 25/6 125/6 y 2 10 50

ki77a [65]

Answer: A:Yes

Step-by-step explanation:

This table shows a proportional relationship between the variables x and y.

3 0

3 years ago

Melissa mows many lawns in her neighborhood. She mows lawns for $95 per lawn. She also offers full landscape maintenence for $12

olga55 [171]

9.52

125 * 4 = 500

500 * 9.52 = 4,760

6 0

3 years ago

Please help, I’ll mark your answer as brainliest!

statuscvo [17]

Answer:

$(x-230)^2+(y-220)^2=6100$

Step-by-step explanation:

The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for $h$ , 220 for $k$ , and $\sqrt{6100}$ for $r$ .

The equation of the circle will be $(x-230)^2+(y-220)^2=6100$ .

Hope this helps :)

4 0

2 years ago

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?​

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?