A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and each number is used only once. How many different possible passwords are there?

Answers

Answer 1

Answer:

There can be 14,040,000 different passwords

Step-by-step explanation:

Number of permutations to order 3 letters and 2 numbers (total 5)

(AAANN, AANNA,AANAN,...)

= 5! / (3! 2!)

= 120 / (6*2)

= 10

For each permutation, the three distinct (English) letters can be arranged in

26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways

For each permutation, the two distinct digits can be arranged in

10!/(10-2)! = 10!/8! = 10*9 = 90 ways.

So the total number of distinct passwords is the product of all three permutations,

N = 10 * 15600 * 90 = 14,040,000


Related Questions

Determine the measure of ∠A. ANSWWER: 1) 192° 2) 88° 3) 84° 4) 168°

Answers

Answer:

3) 84°

Step-by-step explanation:

The angle formed by a chord and a tangent measures half of the intercepted arc.

m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg

Answer:

84 degrees

Step-by-step explanation:

Answer all please number 2

Answers

Answer:

(a) 26.43%

(b) 189 seconds

Step-by-step explanation:

(a) Data

mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s standard deviation, sd: 19 svalue of interest, x: 4 minutes = 4*60 = 240 s

Z-score is calculated as follows:

z = (x - mean)/sd

z = (240 - 228)/19

z = 0.63

We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)

From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%

(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.

z = (x - mean)/sd

-2.055 = (x - 228)/19

(-2.055)*19 + 228 = x

x = 189 s

MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27

Answers

Answer:

B: 6x+27

Step-by-step explanation:

14+2(3x+9)-5

14+6x+18-5

14+6x+13

6x+27 is the final answer

The Answer is: B

Step-by-step explanation:

For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)

Answers

Answer:

 (2x  +  1)/(x^2 - 7),    x  ≠ ±√7

Step-by-step explanation:

I'm not sure if this is what your looking for.

Hi can someone plz help me with this question

Answers

Answer: n/4-1

Step-by-step explanation:

n/4 means how much each friend would have eaten if the pizza was equally divided and - 1 references to the one slice less he ate.

In the diagram of circle A, what is m?

Answers

Answer:

upload ur diagram so we can solve it for u

If there are 7 frankfurters to the pound, how
many pounds of frankfurters are needed for a
picnic to supply 19 pupils with 2 frankfurters
each?​

Answers

Answer:

6lbs

Step-by-step explanation:

Total # of Frankfurters needed.

[tex]19*2=38[/tex]

Divide the total needed by the amount in a lb, to find out how many lbs we need.

[tex]\frac{38}{7}=5.4[/tex]

Therefore, we need 6 full lbs in order to create at least 38 Frankfurters.

If we only have 5lbs, we can only create 35 Frankfurters.

5.4 pounds of frankfurters are needed for a picnic.

there are 7 frankfurters to the pound

let x pounds of frankfurters needed for a picnic. to supply 19 pupils with 2 frankfurters each.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

since there are 19 pupil and each of has 2 frankfurters.

total frankfurters = 19 x 2
= 38
required pound,
x =38/7
x = 5.4  

Thus, 5.4 pounds of frankfurters are needed for a picnic to supply 19 pupils with 2 frankfurters each.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Tim explained a function in words and Paul wrote an equation. Tim: The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Paul: y−1,400=56(x+26)
Whose function has the smaller y-intercept?
A. Tim’s with a y-intercept of $2,700
B. Paul’s with a y-intercept of $2,856
C. Paul’s with a y-intercept of $2,800
D. Tim’s with a y-intercept of $2,780

Answers

Answer:

D. Tim’s with a y-intercept of $2,780

Step-by-step explanation:

The function with the smaller y-intercept is Tim’s with a y-intercept of $2,780

The equation of Paul's savings is given as:

y-1400=56(x+26)

Set x to 0, to calculate the y-intercept

y-1400=56(0+26)

Evaluate the sum

y-1400=56(26)

Evaluate the product

y-1400=1456

Add 1400 to both sides

y = 2856

For Tim, we have the following equation

y = 225x + c

Where c represents the y-intercept

After eight months, the bank account has $4,580

So, we have:

4580 = 225*8 + c

Evaluate the product

4580 = 1800 + c

Subtract 1800 from both sides

c = 2780

2780 is less than 2856

Hence, the function with the smaller y-intercept is Tim’s with a y-intercept of $2,780

Read more about y-intercepts at:

https://brainly.com/question/1884491

Which statement is true about the given function?
fx) > 0 over the interval (-0,3).
f(x) > 0 over the interval (-:-).
f(x) <0 over the interval (-0,3).
f(x) <0 over the interval (- : -).

Answers

Answer:

Option C.

Step-by-step explanation:

If the graph of a function f(x) lies above the x-axis, then f(x) > 0.

If the graph of a function f(x) lies below the x-axis, then f(x) < 0.

From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.

Before x=3 the graph lies below the x-axis. So,

[tex]f(x) < 0[/tex] over the interval [tex](-\infty,3)[/tex].

After x=3 the graph lies above the x-axis. So,

[tex]f(x) > 0[/tex] over the interval [tex](3,\infty)[/tex].

Therefore, the correct option is C.

List below are the speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, CA. Use the sample data to construct a 99% confidence interval estimate of the population standard deviation: speeds 62, 58, 58, 56, 60, 53, 58

Answers

Answer:

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex]

Where:

[tex]\bar x[/tex] = Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

[tex]\bar x[/tex] = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex] = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

[tex]C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }[/tex]

[tex]\sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{0.872}}[/tex]

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.

Are these ratios equivalent?3 feet every 4 seconds,15 feet every 20 seconds.

Answers

Answer:

Hey there!

These ratios are equivalent.

The given ratio is 3:4

If we multiply both sides by 5, we will get 15:20.

Thus, the ratios are equivalent.

Let me know if this helps :)

Answer:

What does the tense of the underlined verb reveal about the subject?

The event took place in the past continuously but concluded prior to another past event.

The event took place in the past continuously.

The event concluded prior to another past event.

The event has been completed.

Step-by-step explanation:

Please Help Soon! A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece?

Answers

Answer: 6 feet

Step-by-step explanation:

Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts

Let assume that the 4 rectangles will be of the same area since they are congruent.

The area of the big rectangle will be

Area = 4 × 8 = 32

Divide 32 by 4

32/4 = 8

Suggest the two possible numbers in which their product will be equal to 8

4 and 2 or 8 and 1

If 4 and 2

The perimeter = 2L + 2B

Substitute the 4 and 2 into the formula

Perimeter = 2(4) + 2(2)

Perimeter = 8 + 4

Perimeter = 12

If 8 and 1

Perimeter = 2(8) + 2(1)

Perimeter = 16 + 2 = 18

The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:

18 - 12 = 6 feet

If it takes 13 cup of flour to make 14 of a cake, how many cups of flour are needed to make a whole cake? i need help plz

Answers

Answer:

1-1/3 if its 14

1/52 if its 1/4

Step-by-step explanation:

Find the slope of the line on the graph.

Answers

Answer:

m = -3/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the formula:

(0, 1) y-int

(4, -2) random

m = (-2 - 1)/(4 - 0)

m = -3/4

Answer: 3/4

Explanation:

rise/run = 3/4

work out the length of AB. give your answer to 3 significant figures.

Answers

Answer:

Distance formula = √(x₂ - x₁)² + (y₂ - y₁)²

(x₁, y₁) = (1, 7) and (x₂, y₂) = (10, 3)

AB = √(10 - 1)² + (7 - 3)²

= √9² + 4²

= √81 + 16

= √97

= 9.85

PLSSS HELP!!! I really need help with this i have tried everything! Please provide instructions so I could learn how to do it! You are interested in finding a 98% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 11 randomly selected college students. Round answers to 3 decimal places where possible. 9, 1, 2, 2, 9, 10, 1, 3, 7, 4, 2 a. To compute the confidence interval use a ? distribution. b. With 98% confidence the population mean number of days of class that college students miss is between ? and ? days. c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean number of missed class days and about ? percent will not contain the true population mean number of missed class days.

Answers

Step-by-step explanation:

a. When the sample size is below 30 or the population standard deviation is not known, use a t distribution rather than a normal distribution.

b. The confidence interval is:

CI = x ± CV × SE

where x is the sample mean,

CV is the critical value (in this case, t).

and SE is the standard error (the sample standard deviation).

For the data given, the mean is x = 4.545, and the standard deviation is SE = 3.503.

There are 11−1 = 10 degrees of freedom, and the confidence level is 98%.  For a t-table, the critical value is CV = 2.764.

So the confidence interval is:

CI = 4.545 ± 2.764 × 3.503

CI = (-5.1, 14.2)

c.  The confidence level is 98%, so 98% of these confidence intervals will contain the true population mean, and 2% will not.

For which value of b can the expression x^2+bx+18 be factored?

Answers

Answer:

b=9

Step-by-step explanation:

I NEED HELP CAN SOMEONE PLEASE ANSWER THIS ASAP PLEASE!!!​

Answers

Answer:

y = 5x - 3

Step-by-step explanation:

ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.

A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?

Answers

Answer:

13197

Step-by-step explanation:

You have to do 24.9*2 and then find that percent of 26500

SOMEONE PLEASE HELP!!! in the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Rx are reflections around the x- and y-axes. R p,90 o R o,-90 : (-1,-1)
•(-7,9)
•(-1,-1)
•(6,-2)

Answers

Answer:

C.) (6, -2)

Hope this help!

Answer:c(6,-2)vis your answer

Step-by-step explanation: The guy above me is right

Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.

Answers

Answer:

Step-by-step explanation:

Where is f(x)?  My answers pertains only to g(x) = -x^2 + 2x + 4.

Part of B is true:  As x approaches infinity in either direction, g(x) approaches negative infinity.  The graph of g(x) is an inverted parabola.

what is the volume of a right triangle with the dimesions 24 20 12

Answers

Answer:

Assuming you mean area the answer is 120

Step-by-step explanation:

a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12

so 24 is the hypontenuse (longer side)

the two perpendicular sides are 20 and 12

the area for a triangle is b*h*1/2

the base (20) times the height (12) is 240. 240 times 1/2 is 120.

Volume is half the base times height multiplied by the lateral height.
Meaning
V=(1/2(24)(20))*(12)
The base is 240.
You multiply the base times the material height which is 12
Therefore, the answer is 2880

PLEASE MARK BRAINLIEST

which side of the quadrilateral abcd
has a length equal to 10?​

Answers

Answer:

AD

Step-by-step explanation:

You must measure the difference between A and D. To get to this answer you should try all available combinations.

Calculate the mean of this data set: 12, 35, 44, 74, 23, 49, 45, 18, 90, 56, 84,
38, 7. What is the sample proportion of numbers that are within +10 of
the mean? (Round off the mean to the nearest integer for your calculations.)

Answers

Well, here is the mean of ur data collected 48.181818...

Answer: 0.38

Step-by-step explanation:

The mean is the sum of all the observations divided by the number of observations. It is 44.2 (rounded off to 44) Next is fraction observations that lie between 34-35 (just answered this and it is correct)

Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 square units

Answers

Answer:

C) 63.9 square units

Step-by-step explanation:

From the above diagram, we can see that the triangle has 2 sides and and angle

The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ

θ = 70°

a = DE = 8 units

b = EF = 17 units

Area of ΔDEF = 1/2 × 8 × 17 × sin 70°

Area of ΔDEF = 63.9 square units.

Answer:

63.9 square units

Step-by-step explanation:I took the test

pls help i give brainliest

Answers

Answer: B no

Step-by-step explanation:

Plot in the x and y coordinates into the equation to solve it.

The x coordinate is  4 and the y coordinate is 1  

-4(4) +3(1)= 2

-16 + 3 = 2

-13 ≠2

-13 does not equal 2 so (4,1) is not a solution.

Answer: NO

Step-by-step explanation:

[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]

-13 does NOT equal 2, so it is not a solution

Hope it helps <3

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement in your answer.

Answers

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

Answer:

5 dollars

Step-by-step explanation:

Let x be the price of each eraser

We bought a magazine and 4 erasers with 25 dollars

so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5

The eraser costs 5 dollars

What is the value of q?

Answers

Answer:

14

Step-by-step explanation:

Find the equation of the line: With an x intercept of 4 and a y intercept of 1. PLEASE HELP I ONLY HAVE 15 MINUTES LEFT

Answers

Answer:

y = -1/4x + 1

Step-by-step explanation:

that is (0,1) and (4,0)

gradient

can be -1/4

c can be y = mx + c

we'll take anyone of the equation

1 = 0 + c

c = 1

Which of the following is equivalent to: -5 - 4?*

Answers

Answer:

-9

Step-by-step explanation:

-5 - 4 = -5 + (4)

You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.

-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9

Other Questions
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False Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below.Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees.Which pair of measurements are possible if they are congruent figures?Measure of angle W = 47 degrees and Measure of angle X = 94 degreesMeasure of angle X = 94 degrees and Measure of angle Z = 79 degreesMeasure of angle W = 47 degrees and Measure of angle Y = 140 degreesMeasure of angle X = 140 degrees and Measure of angle = 94 degrees graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=-x-6 NEED HELP ASSSSSSSPPPPPPPPP!!!!!!!!!!!!!!!!The is a small, flexible rod inserted under a persons skin that releases hormones to prevent fertilization. The is worn on a persons outer body and releases hormones to prevent the ovaries from releasing eggs. 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Why were the ottoman and Mughal Empires able to coexist in the same region