P(0)= 8C0 (.2)0 * (.8)8

In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large

Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

The question is incomplete:

The probability distribution is:

x P(x)

0 0.30

1 0.40

2 0.20

3 0.06

4 0.04

The mean can be calculated as:

$M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14$

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

$s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04$

3 0

2 years ago

A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make

Darina [25.2K]

Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm

We need to find the volume of each shape.

Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28

Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h

The height of the cylinder is 4.5cm

7 0

3 years ago

23j-21g+20e-13+52e-37j+45-49e (Like terms)

eduard

The solution to the algebraic expression is: 23e - 21g - 14j + 32

What are algebraic expressions?

Algebraic expressions are mathematical expressions that contain variables, coefficients, and arithmetic operations such as addition, subtraction, division, and multiplication.

Solving algebraic expressions are an important part of mathematics as it helps to improve the aptitude and solving skills of the students.

From the given information, we have;

23j - 21g + 20e - 13 + 52e - 37j + 45 - 49e

let's rearrange by taking the like terms to the same sides;

= 23j -37j - 21g + 20e + 52e - 49e - 13 + 45

= -14j - 21g + 23e + 32

= 23e - 21g - 14j + 32

Therefore, we can conclude that the solution to the algebraic expression is: 23e - 21g - 14j + 32

Learn more about solving algebraic expressions here:

brainly.com/question/4344214

#SPJ1

3 0

2 years ago

A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of eleva

Ulleksa [173]

This question uses trig

sin(55) = height/195

Therefore, height = 195sin(55) meters (just plug in calculator)

7 0

2 years ago

Someone help please

coldgirl [10]

Answer:

The vertex or top is ( 2, -9)

Step-by-step explanation:

Given y = (x - 5 ) * ( x + 1 )

x² - 4x - 5

See attachment.

The vertex of the parabola is the Top.

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.

The standard equation of a parabola is it

y = ax² + bx + c.

But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k

In this equation, the vertex of the parabola is the point (h,k) = (2, -9)

3 0

3 years ago