Answer:
There are 604,800 possible permutations.
Step-by-step explanation:
The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
7 digits from a set of 10(10 digits to 0-9). So

There are 604,800 possible permutations.
Q1. The answer is <span>1 over 5 to the 3rd power.
</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is

To simplify, we will use two rules:

Therefore:


is the same as 1 over 5 to the 3rd power.
Q2. The answer is <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>

So,

Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>

3 to the 7th over 3 to the 15th is

<span>45 ⋅ 42 is </span>
Answer:
Question A)

Question B)

Question C)

Step-by-step explanation:
A)
We are given:

We can rewrite the expression:

The square root and square will cancel each other out. Thus:

B)
We are given:

Rewrite:

Note that the square root of 9 is simply 3. We can also factor the second part:

Rewriting:

Simplify:

C)
We are given:

Rewrite. Note that 50 = 25(2):

Simplify. We can rewrite the factor as:

The square and square root will cancel out. Thus:

1,2,3,3,4,5,6,8,8,9,9,10
Median: 7
The mean is smaller han the meidan
The mean is approximately 5.66666667
This set has three modes.
To solve this inequality, you need to isolate the value of u. To do this, divide both sides by -2. When you do this, keep in mind that when you divide or multiply both sides by a negative in an inequality, you MUST flip the sign, so your answer would be -8 < u or u > -8.