You are signing up to a website that requires you to create a password that is exactly 5 characters long. To create the username, you can use uppercase or lowercase letters (A-Z or a-2, 26+26 possible choices),numerical digits (0-9, 10 possible choices) and symbols (5 possible choices). (a) First, suppose that you can choose any of those characters, as many times as you want as long asthe total number of characters is 5). How many usernames are possible? For the remainder of this exercise (b-c-d), suppose that the first character must be an uppercase letter and the second character must be a number and the last charactermust be a symbol (b) How many different usernames are possible if there is no further restriction on the third and fourthcharacters and the same letters/numbers/symbols can be used more than once? (c) How many different passwords are possible if there is no further restriction on the third and fourthcharacters but every character must differ from each other? (d) Your friend has already signed up, and he wants to see if you can guess his password correctly. He tells you that the first character is "A", the 2nd character is an odd number, the 3rd character is number greater than 7, the fourth character and the fifth character are the same symbol. You can make only one guess. You have no idea, so you make your guess at random using the informationhe gave you. What is the chance that your guess is correct?

Answer:

a = 1, b = - 3, c = 0

Step-by-step explanation:

The standard form of a quadratic equation is

ax² + bx + c = 0 ( a ≠ 0 )

compare x² - 3x = 0

with a = 1, b = - 3, c = 0

Answer:

3/2

Step-by-step explanation:

Answer:

the answer would be 12/5

Answer:

The answer is 3

Step-by-step explanation:

Because 16 - 10 is 6. Then you minus 3 which is then 3 brainliset pls

Answer: 3

Step-by-step explanation:

r=10

16-（10）-3

=6-3

=3

Answer:

Sarah = 3×Ross -10

11=3Ross-10

3Ross=11+10

Ross=21/3

Ross=7

Ross scored7

The in-order traversal of the tree represents the elements in ascending order, starting from the leftmost node to the rightmost node. In the case of the Fuli binary tree, the in-order traversal is **G L B A A I E T U**.

The Fuli binary tree can be constructed using the given post-order and pre-order traversals: Post-order traversal: **G L B V T AUIE**, Pre-order traversal: **E B G L A A T U**.

To construct the tree, we can use the following steps:

1. Identify the root of the tree: In the pre-order traversal, the first element is the root, so in this case, the root is **E**.

2. Locate the root in the post-order traversal: Since post-order traversal visits the left subtree first, we can find the root in the post-order traversal to divide it into left and right subtrees. In this case, we find **E** in the post-order traversal.

Recurse for left and right subtrees: Repeat steps 1-4 for the left and right subtrees using the divided pre-order and post-order traversals.

Using the above steps, we can construct the Fuli binary tree:

```

           E

         /    \

     B G L A A  T U

             \

              I E

```

In-order traversal of the constructed Fuli binary tree: **G L B A A I E T U**.

The in-order traversal of the tree represents the elements in ascending order, starting from the leftmost node to the rightmost node. In the case of the Fuli binary tree, the in-order traversal is **G L B A A I E T U**.

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When a shape is rotated, it must be rotated through a point.

The rotation from \(ABCD\) to \(A'B'C'D'\) is (d) \(90^o\)

To determine the angle of rotation from \(ABCD\) to \(A'B'C'D'\), we use the following steps

See attachment for illustration.

From the attached image;

Hence, the angle of rotation is D: 90

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Step-by-step explanation:

Forty-eight boys are in the class.

4:8

24 students

24 represents 12 parts

24/12=2

2×4=8

8×2=16

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

\( {a}^{2} = {b}^{2} + {c}^{2} \)

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

\( {x}^{2} = {9}^{2} + {7}^{2} \)

\( {x}^{2} = 81 + 49\)

\( {x}^{2} = 130\)

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer: E is the answer

Step-by-step explanation:

The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.

Surveys can be used to determine how representative each person's opinions and experiences are.

When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.

This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.

The same holds true if your queries are challenging for customers to comprehend and honestly answer.

As, when he asks every fifth student arriving at school, it can lead to an unbiased result.

Thus, the correct option is E.

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Answer:

7.884

Step-by-step explanation:

so taking the point T(13,1.6) and the point V(5.4,3.7) we move from point T(13,1.6) to the point V(5.4,3.7) the x-coordinate increases by ( 13-5.4)=7.6 and the y- coordinate decreases by ( 1.6-3.7)=(-2.1). now we have 7.6 and -2.1. we find the squares of this numbers and add so we have 7.6 giving us 57.76 and -2.1 giving us 4.41. now we add both 57.76+4.41=62.17. and we find the square roots √62.17 which will give us 7.884. and therefore the distance between the two point is 7.884

Answer:

The missing degree is 60, but the perimeter is 11 cm.

I hope this is correct, if it's incorrect, I'm sorry

Answer:

perpendicular

Step-by-step explanation:

4*(-1/4)=-1, so lines are perpendicular

Answer:

12.16

Step-by-step explanation:

From your question, we have the following information

Mean = u = 20

Standard deviation sd = 4

P(X>Xo) = 0.975

1-0.975 = 0.025

P(z<Xo-20/4) = 0.025

Xo-20/4 = -1.96

We cross multiply

Xo - 20 = -1.96 x 4

Xo - 20 = -7.84

Xo = -7.84+30

Xo = 12.16

12.16 is the value of Xo and therefore the answer to this question.

Thank you!

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

Answer:

3.6cm cubed

Step-by-step explanation:

First solve for both glasses' volumes.

Use l×w×h to plug in the numbers:

3.1×2×3=18.6

3.7×2×3=22.2

then subtract= 3.6

Answer:

3.6 \(cm^{3}\)

Step-by-step explanation:

Volume for first container is 3.1 x 2 x 3 = 18.6

Volume for second container is 3.7 x 2 x 3 = 22.2

22.2 - 18.6 = 3.6

The probability of a female student studying abroad is 9.5%. 60% of those who study abroad are female, while 49% of those who do not study abroad are female.

P(Female studying abroad) = P(Female and Studying Abroad) / P(Female)

P(Female and Studying Abroad) = 0.095 × 0.60 = 0.057

P(Female) = 0.095 × 0.60 + 0.905 × 0.49 = 0.902

P(Female studying abroad) = 0.057 / 0.902 = 0.063

Therefore, the probability of a female student studying abroad is 0.063.

The probability of a female student studying abroad is 9.5%. This means that out of all the undergraduate students, 9.5% of them are female and are studying abroad. It is also important to note that out of those who study abroad, 60% are female, while 49% of those who do not study abroad are female. This means that more female students are likely to study abroad than male students, as the percentage of female students studying abroad is higher than the percentage of male students studying abroad. It is also important to note that the overall percentage of female students studying abroad is lower than the overall percentage of male students studying abroad, as the number of female students who study abroad is lower than the number of male students who study abroad. Therefore, the probability of a female student studying abroad is 9.5%.

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The value of the missing side length is 9.

The figures in the image are two similar triangle.

Side lengths of smaller triangle are:

x and (10-4)

Side lengths of larger triangle are:

(x+6) and 10

Since the triangle are similar, we take the proportion of the side lengths and solve for x.

x/(10-4) = (x+6)/10

x/6 = (x+6)/10

Cross multiply

x × 10 = 6( x + 6 )

Apply distributive property to eliminate the parenthesis.

x × 10 = 6×x + 6×6

10x = 6x + 36

10x - 6x = 36

4x = 36

x = 36/4

x = 9

Therefore, the value of x is 9.

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Answer:

Step-by-step explanation:

d=2q, q=d/2

10d+25q=630, using q=d/2

10d+25d/2=630

20d+25d=1260

45d=1260

d=28

So he has 28 dimes.

Essentially, what we're looking at here are two alternate interior angles.

Wait. What? Alternate interior angles?

It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.

Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.

Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.

If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:

7x - 7 = 4x + 14

Subtract 4x from both sides:

7x - 4 x - 7 = 4x - 4x + 14

3x - 7 = 14

Add 7 to both sides:

3x - 7 + 7 = 14 + 7

3x = 21

Divide both sides by 3 to completely isolate x:

\(\frac{3x}{3}\) = \(\frac{21}{3}\)

x = 7

And that's our answer! If you need me to explain anything any further, just ask!

- breezyツ

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

The possible algebraic equations, obtained based on the algebraic expressions in the question are;

1. \(\frac{x}{8} = y\)

2. 15 - n = m

3. 25 + x = y

An algebraic expression is a collection of numbers and variables that are combined together, but without indicating the value indicated by the collection.

What is an algebraic equation?

An algebraic equation is a mathematical statement that expresses the equivalence of two expressions.

The algebraic expressions can be presented as follows;

1. Some number divided by 8

Let x represent the number divided by 8, and let y represent the result when x is divided by 8. The variables x and y can be defined based on the details in the question

The equation with x as the number and y as the result can be presented as follows;

2. n less than 15

The expression n less than 15 is; 15 - n

Let m represent the value of the expression; 15 - n, an algebraic equation based on the details is therefore;

3. 25 more than a number

Let x represent the number, we get

25 more than a number = 25 + x

The y represent the result or value of the expression 25 + x, we get the following algebraic equation;

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Answer:

B

Step-by-step explanation:

Mechanical Energy is the total energy of an object or group of objects due to large-scale motions and interactions. An example of that is when a basketball player shoots the ball.

The amount and interest after 2 years will be $3788.58 and $88.58, respectively.

Given that:

Investment, P = $3,700

Rate, r = 1.19

Time, n = 2 years

The amount is calculated as,

A = P(1 + r)ⁿ

A = $3700 (1 + 0.0119)²

A = $3700 x 1.0239

A = $3788.58

The amount of interest is calculated as,

I = A - P

I = $3788.58 - $3700

I = $88.58

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Step-by-step explanation:

y = mx+ c

y = x + 4

m = 1

Parallel means m1 = m2

and we know that (-1, 2) = (x, y)

y - y1 = m (x - x1)

y - 2 = 1 (x + 1)

y - 2 = x + 1

y = x + 1 + 2

y = x + 3

Answer

\(\large\textrm{y = x + 3}\)

Further explanation

We know the slope of the line, it's 1.

 The given equation is in slope-intercept form: y = mx + b, in which x and y are the co-ordinates of the point which the line passes through and m and b are the slope and y-intercept, respectively.

Also the slopes of parallel lines are always the same.

So 1 is the slope.

Basically, we know m but we don't know b, so let's go ahead and find it.

Plug in 2 for y:

\(2=x+b\)

Plug in -1 for x:

\(2=-1+b\)

We have a little equation that we can solve in terms of b:

\(-1+b=2\)

\(b=2+1\)

\(b=3\)

The y-intercept is 3; that makes the line's equation y = x + 3.

Answer: E

Step-by-step explanation:

The actual distance (in miles) between her town and the state capital is 90 miles.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, a map of the state where your friend lives has the scale 1/2 in : 2 mi.

Now, 10 ÷ 1/2

= 10×2

= 20

Her measurement was 4 1/2 =9/2 inches.

Now, 20×9/2

= 90 miles

Therefore, the actual distance (in miles) between her town and the state capital is 90 miles.

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"Your question is incomplete, probably the complete question/missing part is:"

A map of the state where your friend lives has the scale 1/2 in : 2 mi.

Your friend measured the distance between her town and the state capital on the map. Her measurement was 4 1/2 inches. Based on your friend's measurement ,what is the actual distance (in miles) between her town and the state capital?

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

Answer:

Option 4 (Rhombus)

Step-by-step explanation:

A regular polygon has all equal sides and angles, which is not the case with the Rhombus.

~theLocoCoco