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3 years ago

14

What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 incl

usive

1 answer:

Serga [27]3 years ago

7 0

Answer:

10000 options

Step-by-step explanation:

There are 10 options of digit from 0 to 9. It means there are 10 options for the first slot, 10 for the 2nd slot, 10 for the 3rd slot, and 10 for the last slot of each of the 4 slots of the password. For all 4 passwords the total amount of choices would be

$10 * 10 * 10 * 10 = 10^4 = 10000 options ranging from 0000 to 9999$

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I can't get to get this right can you please help me

monitta

Answer:

$(-7,4]\text{ or }\{x|-7$

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

$(-7,4]$

We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.

And in set notation, this is:

$\{x|-7$

7 0

3 years ago

Read 2 more answers

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

so

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

so

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of

Rzqust [24]

Answer:

x=12

Step-by-step explanation:

For the given situation , a quantity x is added to $\frac{1}{4} x$ gives 15.

We can set up equation as

$x+\frac{1}{4}x=15$

Multiply each term by 4 on both sides to get rid the denominator.

It gives,

4 x+x=60

Now, combine like terms

5 x=60

Divide both sides by 5

x=12.

6 0

3 years ago

To be eligible for a basketball tournament, a basketball team must win at least 60% of its remaining games. If the team has 21 g

Slav-nsk [51]

IT IS 13 BECAUSE 60 PERCENT OF 20 IS 13

8 0

3 years ago

PLEASE HELP SUPER FAST WORTH ALOT OF POINTS

lutik1710 [3]

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

$z=\frac{X-\mu}{\sigma}$

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

$z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25$

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

$P=89.44-10.57=78.87\%$

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

$z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3$

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

$P=99.865-.0135=99.73\%$

99.7% of people.

3 0

3 years ago