Zack is creating a 5 digit password for his computer. For the first three digits, he chooses different letters of the alphabet.
For the last two digits, he chooses a different number
between 0-9. How many passwords are possible?

Answers

Answer 1

Answer:

460

Step-by-step explanation:

Answer 2

The total number of passwords possible is given by the permutation equation A = 26 x 25 x 24 x 10 x 9

What are Permutations?

A permutation is an ordered arrangement.

The number of ordered arrangements of r objects taken from n unlike objects is:

Permutation nPr = ( n )! / ( n - r )!

Given data ,

Let the total number of passwords be represented as A

Now , the equation will be

The number of digits in the password = 5 digits

For the first three digits, he chooses different letters of the alphabet

So , total number of digits that are alphabets out of the 26 alphabets = 3

For the last two digits, he chooses a different number

between 0-9

The total number of digits that are numbers out of the 10 numbers = 2

So , the permutation will be

A = 26P3 x 10P2

Substituting the values in the equation , we get

The total number of passwords A = ( 26 )! / ( 26 - 3 )! x ( 10 )! / ( 10 - 2 )!

On simplifying the equation , we get

The total number of passwords A = ( 26 )! / ( 23 )! x ( 10 )! / ( 8 )!

And ,

The total number of passwords A = 26 x 25 x 24 x 10 x 9

Therefore , the value of A is 14,04,000

Hence , the permutation is 26P3 x 10P2

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Related Questions

Evaluate 2x + 4y if x = -1 and y = 3
Evaluate ab + c if a = 2 b = -4 and c=5

Answers

✏️SUBSTITUTION

Solution:

Number #1

2x + 4y

Given: x = -1, y = 3

2x + 4y2(-1) + 4(3)-2 + 1210

Number #2

ab + c

Given: a = 2, b = -4, c = 5

ab + c(2)(-4) + 5-8 + 5-3

Answer:

Evaluate 2x + 4y if x = -1 and y = 3

10

Evaluate ab + c if a = 2 b = -4 and c=5

-3

•••••••••••••••••••••••••••••••••••••••••••••••••

#CarryOnLearning

I need this answered the top ones are B and Z

Answers

Answer:

The number of lines for each angle tell you which angles are congruent.

The angle with one line in one triangle is the same as the angle with one line in the other triangle.

(a)

∠A ≅ ∠X

∠B ≅ ∠Z

∠C ≅ ∠Y

The dashes of the side lengths tell you which side lengths are congruent.

The line with one dash in one triangle is the same as the line with one dash in the other triangle.

(b)

AB ≅ XZ

AC ≅ XY

BC ≅ ZY

(c)

ΔBCA ≅ ΔZYX

a bag contains 11 counters, five of the counters are white .a counter is taken out of the bag at random and not replaced. a second counter is taken out of the bag at random.calculate the probability that only one of the counters are white

Answers

Answer:

6/11

Step-by-step explanation:

5 of the counters are white that are taken out of the bag. That means if one more was taken out if the bag after that was the only white counter left then we can conclude that since there are 11 counters in the bag and 6 are white then, the probability of picking a white counter would be 6/11.

Have a great rest of your day
#TheWizzer

Answer:

P(of picking one of the white counters )= 8/11

Step-by-step explanation:

Firstly you need to identify the counters

White counters = 5

Unknown= 6

Total outcome = 11

With the aid of a tree diagram and following the condition of not replaced we go on and compute our findings

(2-3x) (5x+1) factoriser

Answers

-15xsquared+7x+2 is the answer

Which statement is true about this comparison? 0.739>0.7380 CLEAR CHECK It is correct because placing a zero at the end of a decimal makes it smaller. It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8. It is incorrect because 0.7380 has more digits after the decimal point. It is incorrect. 739 is less than 7,380.

Answers

Answer:

It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8

Step-by-step explanation:

Given

[tex]0.739 > 0.7380[/tex]

Required

Select the true statement

Analyzing both number base on the place value.

Tenth: 7 = 7

Hundredth: 3 = 3

Thousandth: 9 > 8

Hence, the statement is correct.

Option B answers the question because 9 is greater than 8

Find the number of shaded triangles for each figure. first triangle: second triangle: third triangle: fourth triangle:

Answers

A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.

What is a triangle?

A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.

The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

Hence, the number of triangles in the given figure are 1, 3, 9, and 27.

Learn more about Triangles:

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Answer:

first part is 1, 3, 9, 27

second part is A

third part is 29,524

Step-by-step explanation:

edg 23'

Are the ratios 5:20 and 1:2 equivalent?

Answers

Hey there!

Question reads….

“Are the ratios 5:20 and 1:2 equivalent?”


Let’s find out if they are or not!

5:20

= 5 ÷ 5 : 20 ÷ 5

= 1 : 4

So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

HELP!!! I ONLY HAVE 2 MINUTES TO TURN THIS IN!!!!!
Write the generic form for a linear equation in slope-intercept form.
ANSWER FIRST TO GET BRAINLIEST!!!!

Answers

Answer:

The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.

can anyone help me with my homework
14-16
21-24
30-32
51-53

Answers

Answer:

y-intercept formula: b=mx-y

X-intercept formula: b=Mx+y

Step-by-step explanation:

m=slope

PLS HELPPPP IM BEING TIMED

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
4
O y=-6x+ 5
O x-x-6
O y=6x+

Answers

I THINK ITS THE FIRST ONE

factorise 16 x -54 x ^ 4

Answers

Step-by-step explanation:

16x - 54x⁴

= 2x(8 - 27x³)

....

Step-by-step explanation:

i hope this will help!!..

....

when m and I are cut by transversal n. if m<3=67° , determine m<6.​

Answers

Answer:

113°

Step-by-step explanation:

Angles 3 and 6 are consecutive interior angles

As per definition, consecutive internal angles add to 180°

m∠3 = 67° ⇒ m∠6 = 180° - 67° = 113°

help pleaseeeeeeeee!!

Answers

Answer:

-x12

Step-by-step explanation:

cause I know

These are the cost and revenue functions for a line of smartphones:

R(x) = 952x – 0. 68x2

C(x) = -153x + 371,450


Based on these functions, what is the maximum profit that can be made, to the nearest dollar?



A)$68,850


B)$77,456


C)$234,706


D)$332,200

Answers

Answer:

Its B $77,456 I just got it correct on the quiz

Step-by-step explanation:

Directions Solve using any method.
17) Eve bought cupcakes for her sister's birthday party 10% of the 20 cupcakes had sprinkles
on top. How many cupcakes had sprinkles?

Answers

it’s 2 you have to multiply .10 by 20 to get 2

Whats the answer for this. I am stuck

Answers

Answer:

the probability that either B occurs without A occurring or A and B both occur is 0.73.

Step-by-step explanation:

Please help me out with this.

Answers

Answer:

8 & 45

Step-by-step explanation:

This is done regarding BODMAS.

Fisrt 2(2)^2 - 3(2)(-3) -2(-3)^2

8 + 18 - 18

8.

Second 2(-3)^2 - 4(-3) + 6

27 + 12 + 6

45.

Answer:

2(2)^2  -  3(2 x -3)  -2(-3)^2

  8        -    3(-6)     -   2(9)

   8       -    -18       -      18

         26     -  18

                 8

Step-by-step explanation:

I need some help with this please

Answers

Answer:

3^5 = 3 x 5 ( False )

6^3 = 216 ( True )

9^1 = 1^9 ( False )

Step-by-step explanation:

3^5

= 3 x 3 x 3 x 3 x 3

= 243

6^3

= 6 x 6 x 6

= 216

9^1 = 9

First question:  

    [tex]3^5=3*3*3*3*3[/tex] ≠ [tex]3*5[/tex]

    Answer: False

Second question:

   [tex]216 = 6 * 6 * 6 = 6^3[/tex]

    Answer: True

Third Question:

   [tex]9^1[/tex] ≠ [tex]1 * 1*1*1*1*1*1*1*1=1^9[/tex]

   Answer: False

Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 45 kilometers. If the two airplanes are 53 kilometers apart, how far has the eastbound airplane traveled?

Answers

InbeldkxixknsmskalUhuuujuuu

Jess Used 11 1/2 cups of flour to make 3 1/2 batches of oatmeal cookies. One batch makes 24coookies .If she follows the same recipe, How much batches of cookies can she make with 16 1/2​

Answers

Answer:

Jess used 11 1/2 cups of flour to make 3 1 / 2

batches of oatmeal cookies. One batch makes 24 cookies.

If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?

A- 30

B- 120

C-200

D-380

Step-by-step explanation:

In circle B, m DAC = 60°. Solve for v ifmDC = (7x – 42)°. If necessary,
round your answer to the nearest tenth.

Answers

Answer: 23.1

Step-by-step explanation:

By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.

162 = 7x

x = 162/7, which is about 23.1

Please help me pleeeeeeeeeeease

Answers

Answer:

what do you need help on?

p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard.
Truth Value: -----

Answers

Answer:

Statement P is T

Stamens Q is F

Step-by-step explanation:

Here, we want to write the truth value for each of the statements.

For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.

For statement q, the truth value is F since in reality there are 3 feet in a yard

Please help me find the answer. WORTH 25 POINTS

Answers

Answer:

10x+5/16

Step-by-step explanation:

just add them all together

:) Hope you enjoy :)

10x+5/16 do pemdas and add

Complete the sentence.
The amount of time it takes to give a dog a bath is most likely to be a function of the _____
A. type of food the dog eats
B. size of the dog
C. color of the dog
D. size of the house where the dog lives​

Answers

Answer:

size of the dog

Step-by-step explanation:

Hope this helps

Option B is the correct answer.

Given that, the amount of time it takes to give a dog a bath is most likely to be a function of the _____.

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The amount of time it takes to give a dog a bath is directly proportional to the size of the dog.

Therefore, option B is the correct answer.

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Sports A baseball is thrown into the air with an upward velocity of 30 ft/s. Its
height h, in feet, after t seconds is given by the function.h= -16t2 + 30t + 6. How
long will it take the ball to reach its maximum height? What is the ball's maximum
height? What is the range of the function?

Answers

Step-by-step explanation:

so, the function is

h(t) = -16t² + 30t + 6

we get the point of the extreme value(s) by finding the zero solution(s) of the first derivative of the function.

h'(t) = -32t + 30

finding the zero solution

-32t + 30 = 0

30 = 32t

t = 30/32 = 15/16 seconds

after 15/16 seconds (not even a full second) the ball reaches its maximum height.

the height at that maximum is then h(15/16) :

-16(15/16)² + 30×15/16 + 6 = - 15²/16 + 450/16 + 6 =

= -225/16 + 450/16 + 96/16 = 225/16 + 96/16 = 321/16 =

= 20.0625 ft

and so, the range (the interval or set of all valid functional values) is

0 <= h(t) <= 20.0625

as naturally, on a normal surface and environment, the height of the ball cannot go below 0 (when it hits the ground, it's over).

What is the slope of the line below?

Answers

4/2 or 2
the 4 comes up from the amount of spaces going up and the 2 comes from how many spaces goes right, hope this helps

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The slope could be determined by plugging in what you know into here....

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

then plug in what you know...

[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]

[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]

So the slope is 2.

imagine that you write each letter of the word california on individual cards. you shuffle them, turn them facedown on a table, and trn over the top card. what is the probability of turning over an A?

Answers

Answer:

Let's find how many letters California has first, c-a-l-i-f-o-r-n-i-a has 10 letters.

Now let's find how many letter A's are in the word California, California has two a's in the word.

So there are 2 cards out of 10 that could possibly be selected as the letter A.

Your probability is:-

2/10 which simplifies to 1/5, if you wanted to make this a percentage as well;

1/5 * x/100

solve for x;

20%

The required probability of turning over an A is given as 20% or 0.2.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
California = C, a, l, i, f, o, r, n, i, a = 10 letters
So,
Number of card = 10

Now,
there are two a's in the card deck
So the probability of turning over an A,
= 2 / 10
= 0.2 or 20%

Thus, the required probability of turning over an A is given as 20% or 0.2.

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. Suppose (as is roughly true) that 88% of college men and 82% of college women were employed last summer. A sample survey interviews SRSs of 400 college men and 400 college women. The two samples are of course independent. (a) What is the approximate distribution of the proportion pF of women who worked last summer? What is the approximate distribution of the proportion pM of men who worked? (b) The survey wants to compare men and women. What is the approximate distribution of the difference in the proportions who worked, pM − p F ? Explain the reasoning behind your answer. (c) What is the probability that in the sample a higher proportion of women than men worked last summer?

Answers

Answer:

(a) The approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution = 0.00738

The approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b)  pM - pF =  0.06

While pF - pM = -0.06

The difference in the standard deviation ≈ 0.01025

(c) The probability that a higher proportion of women than men worked last year is 0

Step-by-step explanation:

(a) The given information are;

The percentage of college men that were employed last summer = 88%

The percentage of college women that were employed last summer = 82%

The number of college men interviewed in the survey = 400

The number of college women interviewed in the survey = 400

Therefore, given that the proportion of women that worked = 0.82, we have for the binomial distribution;

p = 0.82

q = 1 - 0.82 = 0.18

n = 400

Therefore;

p × n = 0.82 × 400 = 328 > 10

q × n = 0.18 × 400 = 72 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.82\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.82 \times 0.18}{{400} }} \approx 0.01921\\[/tex]

Therefore, the approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution ≈ 0.01921

Similarly, given that the proportion of male that worked = 0.88, we have for the binomial distribution;

p = 0.88

q = 1 - 0.88 = 0.12

n = 400

Therefore;

p × n = 0.88 × 400 = 352 > 10

q × n = 0.12 × 400 = 42 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.88\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.88 \times 0.12}{{400} }} \approx 0.01625\\[/tex]

Therefore, the approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b) Given two normal random variables, we have

The distribution of the difference the two normal random variable = A normal random variable

The mean of the difference = The difference of the two means = pM - pF = 0.88 - 0.82 = 0.06

While pF - pM = -0.06

The difference in the standard deviation, giving only the real values, is given as follows;

[tex]The \ difference \ in \ standard \ deviation = \sqrt{ \dfrac{p_1 \times q_1}{{n_1} } -\dfrac{p_2 \times q_2}{{n_2} } }\\\\= \sqrt{\dfrac{0.82 \times 0.18}{{400} }-\dfrac{0.88 \times 0.12}{{400} }} \approx 0.01025\\[/tex]

(c) When there is no difference between the the proportion of men and women that worked last summer, the probability that there is a difference = 0

Therefore, taking 0 as the standard score, we have;

[tex]z = \dfrac{0 - (-0.06)}{0.01025} \approx 5.86[/tex]

Given that the maximum values for a cumulative distribution table is approximately 4, we have that the probability that a higher proportion of women than men worked last year is 0.

A trader bought 5 bags of rice for GH₵210.00 each if he sold them at a profit of 20% what was the selling price . pls give the step by step explanation​

Answers

Every one bag of rice cost
= GH₵ 210

Hence 5 bags cost
= 5 x 210
= GH₵ 1050

The trader sold them at a profit of 20% of the cost price

Hence the profit made
= 20% x 1050
=(20/100) x 1050
= GH₵ 210

The selling price
= cost price + profit
= 1050 + 210
= GH₵ 1260
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