All categories

4 years ago

How many license plates can be made using 3 digits and 3 letters of repeated digits and letters are not allowed?statistics?

Mathematics

1 answer:

Goshia [24]4 years ago

6 0

$10\cdot9\cdot8\cdot26\cdot25\cdot24=11,232,000$

You might be interested in

Solve the x 1/3x + 5> 10

kotykmax [81]

Answer:

The solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.

Step-by-step explanation:

Given

We are given the expression

$\frac{1}{3}x+5>10$

To determine

Solve for x

Given the expression

$\frac{1}{3}x+5>10$

Subtract 5 from both sides

$\frac{1}{3}x+5-5>10-5$

Simplify

$\frac{1}{3}x>5$

Multiply both sides by 3

$3\cdot \frac{1}{3}x>5\cdot \:3$

Simplify

$x>15$

Thus, we conclude that:

$x>15$

Therefore, the solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.

5 0

3 years ago

SO Determine the values of a, b, and c for the quadratic equation: 4x2 - 8x = 3

Schach [20]

I believe it’s

a = 4
b = -8
c = -3

6 0

4 years ago

Explain the steps for 0.000000001 in scientific notation

lawyer [7]

If you count the zeros it’s
one billionth

8 0

3 years ago

Read 2 more answers

A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm.

Step2247 [10]

Answer:

The volume of the finished cylinder is $4486.2 m^3$

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius, h = height

VOLUME OF THE HOLE

The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)

Its volume is:

$V = \pi *7^2 * 28\\V = 4310.3 m^3$

VOLUME OF THE ORIGINAL CYLINDER

The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)

Its volume is:

$V = \pi *10^2 * 28\\V = 8796.5 m^3$

Hence, the volume of the finished cylinder will be:

$8796.5 - 4310.3 = 4486.2 m^3$

The volume of the finished cylinder is $4486.2 m^3$

8 0

3 years ago

What is the greatest common monomial factor of the expression

Yuki888 [10]

You can factor out 36*5=180 and 27*4=108 and find that they have 36 as greatest common divisor. The x and y factors have xy as the best you can divide by. So the factor becomes 36xy

36xy(5y²+3) = 36x5y³ + 27x4y

8 0

4 years ago