7. Each student received a 4 digit code to use the library computers, with no digit repeated. Moesha received the code 7654. What was the probability that she would received a code of consecutive numbers?​

Answers

Answer 1

Answer:

The probability that Moesha received a code of consecutive numbers is 0.098, or approximately 9.8%.

Step-by-step explanation:

There are 4 digits in the code, and each digit must be different.

To count the number of codes with consecutive numbers, we can count the number of possible codes that have 3 consecutive digits and multiply by 3 (since there are 3 ways to arrange 3 consecutive digits in a 4-digit code) and then add the number of codes that have 2 consecutive digits and multiply by 2 (since there are 2 ways to arrange 2 consecutive digits in a 4-digit code).

Codes with 3 consecutive digits: There are 7 possible sets of 3 consecutive digits (1234, 2345, 3456, 4567, 5678, 6789, and 7890), and for each set there are 6 possible arrangements (e.g. 1234, 2345, 3456, 4567, 5678, and 6789). So there are 7 x 6 = 42 codes with 3 consecutive digits.

Codes with 2 consecutive digits: There are 9 possible pairs of consecutive digits (01, 12, 23, 34, 45, 56, 67, 78, and 89), and for each pair there are 7 possible non-consecutive digits (e.g. if the pair is 01, the non-consecutive digits are 2, 3, 4, 5, 6, 7, and 8). So there are 9 x 7 x 2 = 126 codes with 2 consecutive digits.

The total number of possible codes is 9 x 8 x 7 x 6 (since there are 9 choices for the first digit, 8 for the second, 7 for the third, and 6 for the fourth). So the probability that Moesha received a code with consecutive numbers is:

(42 + 126) / (9 x 8 x 7 x 6) = 0.098


Related Questions

Find the volume show work pls

Find the volume show work pls

Answers

350: 15x5x3=225, 5^3=125, add them

Answer:

375 cm

Step-by-step explanation:

Rectangle volume formula is length × width × height.

H =5, L=5, W=(5+5) 10

250 is the volume of rectangle.

The other shape is a cube.

Cube Volume Formula:

A=a^3, A=5^3=125

250+125=375

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect?

Answers

Answer:

The original function is an exponential growth function, and so is a new function, but it will be translated in to  2 units.

Step-by-step explanation:

The first function will have a horizontal asymptote at y = 0 and the second function will have a horizontal asymptote at y = 22.

Isolate the x

x + y/3 = 5

Answers

Answer:

x = 5 - y/3

Step-by-step explanation:

How many singlets are expected in the 1h nmr spectrum of 2,2,4,4-tetramethylpentane? 1 4 3 2

Answers

Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

olphin is performing in a show at an oceanic park and makes a leap out of the water: the dolphin leaves the water traveling at speed of 32 feet per second and at an angle of 480 with the surface of the water: 36. write set of parametric equations for the dolphin'$ motion 37. for how many seconds is the dolphin in the air? 38. how far across the waler does the dolphin travel in the air?

Answers

Therefore , the solution of the given problem of equation comes out to be  y = 23.78t - 5t²

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,
Given :parametric equation

x be the speed of water

t be the time

v be the speed of dolphin

=> x = (vcosx)t +x₀

=> v = 32

=> x = 48

=> x = (32 X cos 48)t + 0

=> x = 21.41t

thus,

=>  y = (vsintx)t - 1/2gt² + y₀

=>   y₀ = 0

=>  v = 32

=> x = 48

=> g = 10

=> y = (32sin48)t -1/2 *10*t² +0

=>  y = 23.78t - 5t²

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Find the product.

-2 x ( x2 - 3)

Answers

Answer:

-1 is the answer

Step-by-step explanation:

Answer:

-1 is the answer

Step-by-step explanation:

Hope this helps

Solve the augmented matrix by elementary row operations. 9. (4 points) Let A and B be 3 by 3 matrices with det (A) = 3 and det (b) = 5. Find the value of det (AB).

Answers

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.

![image](https://www.mathsisfun.com/algebra/images/matrix-inverse-3x3-gauss-jordan-3.gif)

The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Maria esta realizando ciclismo, en un camino completamente piano, pero inclinado; ella encuentra los 2 puntos de referencia de dicho camino y son D=(20; 32), E=(45; 70)

Answers

Responder:

45.49 unidades

Explicación paso a paso:

La pregunta está incompleta. La pregunta puede reestructurarse así;

María va en bicicleta, por un camino completamente llano, pero inclinado; encuentra los 2 puntos de referencia de dicho camino y son D = (20; 32), E = (45; 70), encuentra la distancia recorrida por María.

La distancia total cubierta por María se puede obtener tomando la distancia entre los dos puntos de referencia usando la fórmula;

D = √ (x₂-x₁) ² + (y₂-y₁) ²

Dadas las coordenadas D = (20; 32), E = (45; 70),

DE = √ (45-20) ² + (70-32) ²

DE = √ (25) ² + (38) ²

DE = √625 + 1444

DE = √2069

DE = 45,49

Por lo tanto, la distancia total recorrida por María es de 45,49 unidades.


please help will give brainlyest need help asap

please help will give brainlyest need help asap

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

for the nine volumes of material (10, 20, 30, 40, 50, 60, 70, 80, and 90) used in the study. the standard deviation of the random errors

Answers

The standard deviation of the random errors from the given statement.

The given statement does not provide enough information to determine the standard deviation of the random errors. The standard deviation is a measure of the spread of a dataset, and to calculate it, we need to know the values of the dataset, the mean of the dataset, and the number of values in the dataset. The statement only provides the values in the dataset but does not give any information about the mean or the number of values. Therefore, we cannot determine the standard deviation of the random errors from the given statement.

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graph the line please help

graph the line please help

Answers

here’s my answer from desmos!
graph the line please help

. find two positive numbers whose product is 100 and whose sum is a minimum.

Answers

The two positive numbers are x = 10 and y = 10.

Product of two numbers = 100

Let the first numbers be = x

Let the second number be = y

Any integer higher than zero is considered a positive number. Even natural numbers are included in its concept of numbers.

Therefore, according to the question -

xy = 100

y = 100/x

Thus, as two numbers are given,

f(x, y) = x + y

f(x) = x + 100/x

Now, minimum of f(x) is obtained at the point where f’(x) = 0

Therefore,

f’(x) = 1 - 100/x² = 0

x = ±10.

x = 10

Similarly,

y = 10

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QUESTION 15 Areej invested BD 14000 12 years ago, today this investment is worth BD 52600, based on this what annualized rate has Areej earned on this investment? O 11.66% O 2.75% 17.43% 8.91%

Answers

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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what is 52 + 6 × (5 − 3) − 10⁄2 =

Answers

Answer: 59

Step-by-step explanation:

Order of operations.

52+6x(2)-5

52+12-5

64-5

59

Step-by-step explanation:

52+6×2-10/2

52+6×2-10÷2

52+6×2-5

52+12-5

64-5 =59

my answer is 59.

Find the product. Simplify your answer.
(2u–4)(u2+2u–1)

Answers

It would be 2u3+4u2-2u-4u2-8u+4= 2u3-10u+4

To convert miles per hour to feet per second, which conversion factor would not be used?

1 hr60 min
1 hr60 min

1 min60 sec
1 min60 sec

5280 ft1 mi
5280 ft1 mi

1 mi
5280 ft

Answers

I'm doing this right now too :)

You start by writing the original numbers given into a proportion, which would be

miles          

_____      

hours

Then you have to convert the top unit, miles, into feet. You have to use the rate 1mile:5280 feet. You write that as a proportion too.

miles        1

_____ =  ___

hours      5280

Next, you have to add a conversion rate for changing the hours into seconds. You'd use the rate 1 hour: 60 seconds.

miles        1          60

_____ =  ___  =  ____

hour        5280      1

Then you'd cross multiply to solve.

Hope I helped! Please mark me brainliest


A construction company poured a cylindrical shaped concrete column 15 feet long with a radius of 3 feet. How much concrete did it take to
make the column, in terms of n?
11

Answers

The volume of cylinder in terms of π is cubic feet.

What is volume ?

A three-dimensional solid's volume is the amount of space it takes up, the area encircled by a border, the area filled by an item, or the amount of space it can contain. A cuboidal box's volume, for instance, may be used to calculate how much water or other substance is within. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given the radius of the cylindrical shaped concrete column is 3 feet

Height of the column is 15 feet

The volume of a cylinder is calculated by the formula;

\(\mathrm{V}=\pi r^2 h, \text { where }\)

r is the radius and h is the height

Substituting the values,

\(\begin{aligned}& \mathrm{V}=\pi \times(3) 2 \times(15) \\& \mathrm{V}=\pi \times 9 \times 15\end{aligned}\)

\(\begin{aligned}& V=\pi \times 135 \\& V=135 \pi\end{aligned}\)

Hence, the volume of cylinder in terms of \(135 \pi\)is  cubic feet

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median of 0,78,99,58,65,0,47,38,227

Answers

Answer:

58

Step-by-step explanation:

Put the numbers in chronological order and find the middle number

0, 0, 38, 47, 58, 65, 78, 99, 227

Helping in the name of Jesus.

A video rental company offers a plan that includes a membership fee of $11 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $20 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan?

Answers

Answer:

111

Step-by-step explanation:

muliply it

PLEASEEE HELPPPP!!!!!!!!!skkaksks

PLEASEEE HELPPPP!!!!!!!!!skkaksks

Answers

Step-by-step explanation:

(√3+√7)(√3+√7)(√3)^2+[(√3*√7)+(√3*√7)]+(√7)^23+2√21+710+2√21

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

Triangles X Y C and A B C are shown. Both triangles are congruent and share common point C. Triangle A B C is slightly lower than triangle X Y C.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is identical to triangle A B C but is slightly higher.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is reflected across a line to form triangle A B C.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

Answers

Answer:

Its D

Step-by-step explanation:

Took the test.

Based on the information given regarding the triangle, the triangle pairs can be mapped to each other will be D. Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

Solving the triangles.

It should be noted that a translation is a slide, and this implies that the function has the same shape graphically, but on the other hand, the graph of the function slides to a different position on the coordinate plane.

In this case, the triangle pairs can be mapped to each other using both a translation and a rotation about C. Therefore, the correct option is D.

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james decides to walk home today.he lives 3 miles from school and he can walk 45 minutes.at what rate is james traveling in? A) 1 mile/10 mins b) 1 mile/15 mins, C) 1 mile/20 mins D) 1 mile/30 mins

Answers

Answer:

b

Step-by-step explanation:

each mile takes him 15 mins

HELP! i don’t understand and it’s due today.

HELP! i dont understand and its due today.

Answers

Answer:C

Step-by-step explanation:sorry if i get it wrong

Answer:

A

Step-by-step explanation:

the point p(2 -1) lies on the curve y=1/(1-x)

Answers

Yes, the point (2,-1) lies on the curve y=1/(1-x) as when x=2, y=1/(1-2)=1/(-1)=-1, which is equal to -1.

y=1/(1-x)

y=1/(1-2)

y=1/(-1)

y=-1

Yes, the point (2,-1) lies on the curve y=1/(1-x). To prove this, we can substitute the x-coordinate of the point (2) into the equation. When x=2, the equation becomes y=1/(1-2). Simplifying this equation, we get y=1/(-1) which is equal to -1. Thus, y=-1, which is the same as the y-coordinate of the point (-1). This means that the point (2,-1) does indeed lie on the curve y=1/(1-x). This can be further verified by plotting the point (2,-1) on a graph and seeing that it is indeed located on the curve y=1/(1-x).

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Look at the steps and find the pattern. Step one has 6 step two has 14 step three has 21 how many dots are in the 5th step

Answers

As per the details given, there are 37 dots in the 5th step.

To locate the pattern and decide the range of dots in the 5th step, allow's examine the given records:

Step 1: 6 dots

Step 2: 14 dots

Step 3: 21 dots

Looking on the variations between consecutive steps, we will see that the quantity of additional dots in each step is growing via eight.

In other phrases, the distinction among Step 1 and Step 2 is eight, and the difference between Step 2 and Step 3 is likewise eight.

Thus, we can preserve this sample to decide the quantity of dots within the 4th and 5th steps:

Step 4: 21 + 8 = 29 dots

Step 5: 29 + 8 = 37 dots

Therefore, there are 37 dots in the 5th step.

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What is the constant of proportionality in the equation 3y = 2x

Answers

Answer:k = 2/3

Step-by-step explanation:

When a variable y directly relates to another variable x, we can say:

y=kx

Given the equation, we can say

3y=2x

y= 2x/3

Putting the value of y from above discussion

kx = 2x/3

x is being cancelled on both sides of equation

k= 2/3

Answer:

k = 2/3

Step-by-step explanation:

i don’t know how to explain sorry I’m not good at explaining but I hope this helps

a toy racecar moves along a circular track with a radius 2.7 feet long and starts at the 3-o'clock position. imagine an angle with its vertex at the center of the track that subtends the path the racecar travels. if the angle measures 1.6 radians, how many feet did the racecar travel along the circular track?

Answers

The distance traveled by the race car along the circular track is given as follows:

4.33 feet.

How to obtain the distance traveled by the car?

Before obtaining the distance traveled by the car, we need to obtain the circumference of the circle.

The circumference of a circle of radius r is given by the multiplication of 2π and r, as follows:

C = 2πr.

The radius for the circle in this problem is of:

r = 2.7 feet.

Then the circumference of the circle is of:

C = 2π x 2.7 = 17 feet.

(replacing r by it's numeric value).

The entire circumference is equivalent to 2π radians. The car traveled 1.6 radians, hence the distance traveled is given as follows:

Distance = 1.6/2π x 17 = 4.33 feet.

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can someone help with this​

can someone help with this

Answers

The volume of the cylinder can be obtained from the calculation as  1356 \(cm^3\)

What is the volume of a cylinder?

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π\(r^2\)h

V = 3.14 *\((12/2)^2\) * 12

h = 1356 \(cm^3\)

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What is 4/20 + 6/10 =

Answers

You want them to have the same denominator so your gonna multiply the numerator by 2 in the fraction 6/10 now the equation is
4/20 + 12/20 add 4+12 is 16
Now is
16/20 now you can simplify by 4
The Answer is 4/5

Sum of the fractions is 4/5.

Given that, 4/20 + 6/10.

What is addition of two fractions?

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Now, 4/20 + 6/10

= 4/20 + 12/20

= 16/20

= 4/5

Therefore, sum of the fractions is 4/5.

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Iconicity can be analogical to reality without entailing a complete similarity between a picture and reality. Henceforward, even the highly abstract image, such as triangle, right-angle, curved shape, bright color, etc. can have iconic properties which is analogical to aspects of reality such as dynamism, excitement, gentleness, femininity, sexiness, youthfulness, etc. True or False?

Answers

True. Iconicity refers to the quality of being iconic, meaning that it exhibits characteristics or qualities that are representative or reminiscent of something else, often in a simplified or abstract form.

While iconicity does not require a complete similarity between a picture and reality, it can still evoke analogical connections to aspects of reality.

Even highly abstract images, such as a triangle, right angle, curved shape, or bright color, can possess iconic properties that evoke associations with various aspects of reality. For example, a dynamic and energetic image might be associated with dynamism and excitement, while a gentle and flowing shape could evoke gentleness and femininity. Similarly, certain colors or combinations of colors may be linked to concepts like sexiness or youthfulness.

The iconic properties of an image can be subjective and culturally influenced, as different individuals or cultures may interpret and associate different meanings or qualities with specific shapes, colors, or abstract representations. Nonetheless, the analogical connection between iconic images and aspects of reality can exist and be a powerful means of communication and expression.

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