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alukav5142 [94]
2 years ago
5

A randomly generated password has four characters. Each character is either A, B, C, D, E or F or a number from 0 -

Mathematics
1 answer:
krek1111 [17]2 years ago
5 0

<u>44%</u>

Sample space is 36C4

Now, we want to know all of the combinations that have 1 digit in it.

So, we can have one here:

1XXX

X1XX

XX1X

XXX1

But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.

Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3

Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%

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What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line
Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

y=\frac{1}{6}x+8

Further explanation:

Given equation of line is:

6x+y=3\\y= -6x+3

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

m_1=-6

Product of slopes of perpendicular lines is -1

m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}

The equation of new line can be written as:

y=m_2x+b\\

Putting m2

y=\frac{1}{6}x+b

To find the value of b, we will put (-6,7) in equation

7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8

Putting the values of b and m in general equation

y=\frac{1}{6}x+8

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

  • brainly.com/question/12941985
  • brainly.com/question/4152194

#LearnwithBrainly

5 0
2 years ago
Nancy earned $25, $60, and $42 for babysitting three times last week. She spent $48.95 of her babysitting earnings to buy a pair
iragen [17]

Answer:

Step-by-step explanation:

she has 78.05 dollars left over

6 0
3 years ago
Read 2 more answers
The angles in a pentagon are in a ratio of 7:6:5:5:4. find the measure of the smallest angle
kondaur [170]
This is so hard im so sry i dont get it
6 0
3 years ago
CAN SOMEONE HELP ME ASAP
BARSIC [14]

Answer:

3 minutes

Step-by-step explanation:

To calculate this, you have to multiply 4.5 minutes by 8. This will give you the amount of pages that Wafa will print.

4.5 x 8 = 36 pages

Now that you have the amount of pages, you should divide it by the speed of the Sure-Fire printer. 12 ppm means that 12 pages can be printed in 1 minute.

36/12 = 3

Therefore, it would take 3 minutes if Wafa were to use her brother's Sure-Fire printer.

5 0
2 years ago
Read 2 more answers
One of Maria and Josie’s early tasks is printing and laminating signs to hang at local businesses around town. Working alone, Ma
Anna71 [15]

Answer:

Maria and Josie working together can complete the work in= 1 hour and 20 minutes

Step-by-step explanation:

Given:

Time taken by Maria to print and laminate signs = 4 hours

Time taken by Josie to print and laminate signs = 2 hours

Solution:

Rate of work done by Maria = \frac{1}{4} per hour

Rate of work done by Josie = \frac{1}{2} per hour

Let them work for x hours together.

In x hours work done by Maria = \frac{x}{4}

In x hours work done by Josie = \frac{x}{2}

Total work done by both =  \frac{x}{4}+\frac{x}{2}=\frac{3x}{4}

If they complete the work in x hours, then we can write as:

\frac{3x}{4}=1

Solving for x

Multiplying both sides by \frac{4}{3}

\frac{4}{3}\times\frac{3x}{4}=1\times \frac{4}{3}

∴ x=\frac{4}{3}=1\frac{1}{3} hours = 1 hour and 20 minutes [As \frac{1}{3} of an hour =20 minutes.

So, Maria and Josie working together can complete the work in= 1 hour and 20 minutes

3 0
3 years ago
Read 2 more answers
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