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TiliK225 [7]
3 years ago
10

A seven digit phone number consists of a three-digit prefix followed

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

10000 different phone numbers are possible for a  particular prefix if repetion of digits is allowed

5040 different phone numbers are possible for a  particular prefix if repetion of digits is not allowed

<em><u>Solution:</u></em>

Given that,

A seven digit phone number consists of a three-digit prefix followed  by four digits

We have to find the different phone numbers are possible for a  particular prefix

For a paricualr prefix, there are four digits

Total numbers from 0 to 9 are 10

Therefore,

Different ways for phone number for particular prefix:

If repetition is allowed:

Different ways = 10 x 10 x 10 x 10 = 10000 ways

If repetition is not allowed then:

Different ways = 10 x 9 x 8 x 7 = 5040 ways

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if x is a positive integer, for how many dofferent values of x is square root 48 over x a whole number
Mazyrski [523]

Answer:

<h2><em>Therefore, for 3 values of 'x', the given fraction is a square. So, for those 3 values of 'x', the square root of the fraction will be a whole number. Thus, the answer is 3.</em></h2>
5 0
3 years ago
Write this number in word form 890,704
zhannawk [14.2K]

Answer: eight hundred ninety thousand, seven hundred four

8 0
3 years ago
Study the equation.<br> x² + 6x = - 4
Zinaida [17]

Answer:

x = -3+√5,  -3-√5 (exact roots)

or  x = -0.76, -5.24   to the nearest hundredth.

Step-by-step explanation:

x² + 6x = - 4

Completing the square:

(x + 3)^2 - 9 = -4

(x + 3)^2 = 5

x + 3 = +/-√5

x = - 3 + √5, - 3 - √5

5 0
3 years ago
A rectangular flying carpet is 1 1/2 m wide and 2 m long what is the area of the carpet
d1i1m1o1n [39]

Hi there! :)

<u>Answer:</u>

The area of the carpet is <u>3m²</u>.


Step-by-step explanation:

First off, the formula to calculate the area of a rectangle is this: A = L × W

Where "A" is the area, "L" the length and "W" the width.

Now that you have that, replace all the information you know in the equation in order to find the value of "A", which is what we are looking for:

- Just keep in mind that 1 1/2 is the same thing as 1.5

- The term "wide" is used to give the "width"

- The term "long" is used to give the "length"


A = L × W

A = 2 × 1.5

<u>A = 3</u>


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
3 years ago
The graph shows the probability distribution of a random variable.
Natasha2012 [34]
The answer is 0.50.

P(4<=X<=8)=P(x=4)+ P(x=5)+ P(x=6)+ P(x=7)+ P(x=8)= 0.05+ 0.15+0.15+0.15 +0 = 0.50

Notice that in 8 the line touches the x axis so it’s corresponding probability is 0.
5 0
2 years ago
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