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3 years ago

How many different license plates are possible if a license plate consists of 2 capital letters followed by 5 digits?

Mathematics

2 answers:

Nikolay [14]3 years ago

7 0

$26\cdot26\cdot10\cdot10\cdot10\cdot10\cdot10=\\
26^2\cdot10^5=\\
676\cdot 10000=\\
67600000$

Alina [70]3 years ago

6 0

The first letter can be any one of 26 letters. For each one . . .
The second letter can be any one of 26 letters. For each one . . .

The first digit can be any one of 10 digits. For each one . . .
The second digit can be any one of 10 digits. For each one . . .
The third digit can be any one of 10 digits. For each one . . .
The fourth digit can be any one of 10 digits. For each one . . .
The fifth digit can be any one of 10 digits.

The total number of possibilities is

(26 x 26 x 10 x 10 x 10 x 10 x 10) =

( 26² x 10⁵) = (676 x 100,000) = 67,600,000 .

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4(2x + 3) = 4 8x + 12 = 4 8x = -8 x = -1 was this equation solved correctly?

iVinArrow [24]

Yes, this looks to be done correctly.

4 0

4 years ago

The velocity,v of a missile is related to time t, By the equation v=5t^2+3t+1.calculate the time at which the velocity is minimu

Cloud [144]

Answer:

time: t = -0.3
minimum: v = 0.55

Step-by-step explanation:

For quadratic ax^2 + bx + c, the extreme value is found at x=-b/(2a). For your quadratic, the minimum is found at ...

t = -(3)/(2(5))

t = -0.3 . . . . . time of minimum velocity

The value of velocity at that time is ...

v = 5(-0.3)^2 +3(-0.3) +1 = 5(.09) -.9 +1

v = 0.55 . . . . . value of minimum velocity

3 0

3 years ago

What would the total area be??

timurjin [86]

Answer:

1,560,000 mm²

Step-by-step explanation:

A= $\frac{(1600*600)}{2}$ This would make shape A's area 480,000.

B= $\frac{(600*600)}{2}$ This would make shape B's area 180,000.

C= $\frac{(1000*600)}{2}$ This would make shape C's area 300,000.

D= 1000×600 This wouls make D's area 600,000.

Now you add up all of the areas;

480,000+180,000+300,000+600,000= 1,560,000 mm²

6 0

3 years ago

Read 2 more answers

Determine whether quadrilateral ABCD with vertices

Butoxors [25]

Answer:

This will help better

5 0

3 years ago

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some emplo

Soloha48 [4]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:

Sample Programmed Instructions Lecture TV Group Discussions

1 6 8 7 8

2 7 5 9 5

3 6 8 6 6

4 5 6 8 6

5 6 8 5 5

At the 0.01 level, what is the critical value?

a. 5.29

b. 1.00

c. 3.24

d. 1.96

Answer:

The correct option is (a)

The critical value is 5.29

Step-by-step explanation:

To obtain the critical value, we need to perform a satistical test on the given data.

Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.

ANOVA:

The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.

ANOVA in Excel:

Step 1:

In the data tab, select data analysis

Step 2:

Select "Anova single factor" from the analysis tools

Step 3:

Select the destination of input data in the "input range"

Step 4:

Select "columns" for the option "Group By"

Step 5:

Tick the option "labels in first row"

Step 6:

Set alpha = 0.01

Step 7:

Select the destination of output data in the "output options"

Output results:

Please refer to the attached results

As you can see in the output results, the critical value is 5.2922

Therefore, the correct option is (a)

8 0

3 years ago