Which graphs show functions with direct variation? Select three options<br> Parking Garage Rates

How many different 7-place license plates are possible when 3 of the entries are letters and 4 are digits? Assume that repetitio

timofeeve [1]

Answer:

There are 6,151,600,000 different 7-place license plates are possible when 3 of the entries are letters and 4 are digits,

Step-by-step explanation:

For each of the entries which are letters, there are 26 possible outcomes.

For each of the entries which are digits, there are 10 possible outcomes.

These outcomes can be permutated.

For example, ABC1234 is a different outcome than A1B2C34. This means that we need to use the permutations formula.

The number of permutations of n, divided into two groups of size a and b, is:

$P_{a,b}^{n} = \frac{n!}{a!b!}$ .

In this problem, we have a permutation of 7, divided into a group of 4(digits) and 3(letters).

How many different 7-place license plates are possible when 3 of the entries are letters and 4 are digits?

This is $P_{3,4}^{7}*(26)^{3}*10^{4} = 35*(26)^{3}*10^{4} = 6,151,600,000$

There are 6,151,600,000 different 7-place license plates are possible when 3 of the entries are letters and 4 are digits,

7 0

3 years ago

What two numbers whose sum is 31 and whose difference is 1

Vlad [161]

I f i am correct 15 and 16

cuz 15+16 = 31
but 16-15= 1

6 0

3 years ago

Which statement is NOT The graph intersects the y-axis at y =

natima [27]

The answer is 1. True about the graph of y = 2x.

4 0

3 years ago

Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x2(x − 3)(x + 7) B. 5

Alik [6]

Answer:

the correct answer would be C

Step-by-step explanation:

3 0

3 years ago

Which choice below is a boxplot for the following distribution? 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21,

luda_lava [24]

Answer:

Option E - Box plot E

Step-by-step explanation:

Given : Data,

67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19

To find : Which choice below is a boxplot for the following distribution?

Solution :

Step 1- Arranging the data from lowest to highest,

{19,21,35,38,40,40,41,42,46,50,54,56,60,62,64,66,67}

Step 2 - Find the median of the data

As the data is odd numbers so the median is $\frac{n+1}{2}$ th term.

$\frac{n+1}{2}=\frac{17+1}{2}=9th$ term.

9th term is 46

∴ $Q_2=46$

Step 3 - To find Upper quartile and lower quartile

Lower quartile data set is the median of the upper terms from median

{19,21,35,38,40,40,41,42}

Median of the set is $M=\frac{38+40}{2}=39$

∴ $Q_1=39$

Upper quartile data set is the median of the lower terms from median

{ 50,54,56,60,62,64,66,67}

Median of the set is $M=\frac{60+62}{2}=61$

∴ $Q_3=61$

We have plot the box plot attached below.

Our box plot is matched with Box plot E.

Therefore, Option E is correct.

8 0

3 years ago

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Which graphs show functions with direct variation? Select three options Parking Garage Rates