Consider the set of all 4-digit numbers. How many have at least one zero digit?

Answers

Answer 1

Answer: 2439

I think what you want is, all the four digits numbers which can be formed with the help of the ten digits i.e. {0, 1, 2, 3, ……. … … , 9} which contains 0 at least once in it. Taking this way, to find all the required numbers, we may proceed as follows;

To form four digits numbers means to fill up four vacant places say X, X, X, X with the help of these ten digits. Since nothing has been said about repetition or non-repetition of the digits, so I take it that repetitions of digits are allowed so that all possible numbers come into consideration. Now;

1st vacant place can be filled up by 9 ways (as 0 can not come to this place otherwise number formed will be of three digits). Further,

2nd, 3rd and 4th vacant place each can be filled up by 10 ways (each)(as 0 may also come to these places).

Hence, total no. of numbers of four digits = 9 .10.10.10 = 9000.

Next the total no. of numbers of four digits without zero at any place = 9. 9. 9. 9 = 6561.

Therefore, required no. Of numbers of four digits having at least one zero = 9000 - 6561 = 2439.

Step-by-step explanation:

Hope this helped you. Please brainliest if possible. And tell me if I am wrong. I would really appreciate if I can have some thanks or rating too! :D


Related Questions

Could someone help me? Please.

Answers

Answer:

Step-by-step explanation:

Given the system of equations,

[tex]y=2x-3\\y=-x+3[/tex]

We can substitute one equations into another since both equations solve for y. I will use the second equation for this example.

Step 1: Substitute

[tex]-x+3=2x-3[/tex]

Step 2: Simplify

[tex]6=3x\\x=2[/tex]

Now, we can easily substitute our x value into one of the equations.

Step 3: Substitute.. again

[tex]y=-2+3\\y=1[/tex]

Solution: [tex](2,1)[/tex]

Graph is attached below :)

Hope this helped ya! <3

I need help because this is my pre algebra test and my teacher is checking our screens so hurrhy

Answers

there is a positive association because the lines are going upwards in a straight line

Can someone Please help me.

Answers

Answer:

proofs attached to answer

Step-by-step explanation:

proofs attached to answer

A triangle has a base of 24 inches and an area of 260 square inches. Which equation can be used to find h, the height of the triangle?

Answers

Answer: h=260/12

Step-by-step explanation:

A=BxH/2

A=260 sq. in

260 sq. in=BxH/2

B=24 in

260sq. in=24inxH/2

Simplify

260sq. in=12inxH

Divide both sides by 12in

260/12 in = H

PLEASE HELP ME
Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work
-X²= - 36
On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific; however, they do say to give an exact solution. Stephanie is not sure if she should submit a decimal approximation or a simplified radical as the answer.
4x³=756
What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your recommendation, explain what the term "exact" indicates with regards to the solution.
Solve the cubic equation from Stephanie’s test. Submit two solutions for the equation- a) your answer as a decimal approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each version of your solution in the original equation.
After solving the test question and checking both the decimal solution and the simplified radical form, would you change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences to explain your reasoning.

Answers

Answer: The answer is -6.

Step-by-step explanation:

The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.

After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.

Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.

I hope it helped! :)

Answer to the question is -6

Could someone help me quickly please?

Answers

Answer: 65 advance tickets

Step-by-step explanation:

Answer:

Advance tickets sold: 30

Same-day tickets sold: 25

Step-by-step explanation:

So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].

Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.

Now, let's form a system of equations with this information.

[tex]25x+35y=1625\\x+y=55[/tex]

Step 1: Rearrange equation so that it solves for a variable

[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]

Step 2: Substitute

[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]

Step 3: Simplify

[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]

So the number of advance tickets sold are 30.

Now, let's solve for the number of same-day tickets sold.

Step 4: Solve for y

Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.

[tex]y=-30+55\\y=25[/tex]

The number of same-day tickets sold are 25.

Hope this helped ya :)

What is the surface area of the rectangular prism below if the rectangular base measures 6
feet by 8 feet and each face has a height of 12 feet?

A 216 square feet
B 336 square feet
C 432 square feet
D 576 square feet

Answers

Answer: 576 square feet

Step-by-step explanation:

576 because you have to do 6x8 then you get 48 which you multiply by the height (12) and you get 576

Can someone answer this please?????

Answers

Answer: y=-7

Step-by-step explanation:

solve 5x+2y =-4 for x

Add -2y to both sides

divide both sides by five
substitue -2/5y +-4/5 for x in 3X +10 Y equals -64

44/5 + -12/5 equals -64

Simply both sides

add 12/5 to both sides

Divided by 44/5
y= -7

Answer:

Hence The Value of Y=-2 at the intersecting point

Step-by-step explanation:

Given the equation

5x+2y=-4 and 3x+10y=-64

are intersected at X=2 to find the value of y

solution the equation 5x+2y=-4 and 3x+10y=-64

are intersect at x=2 means x=2 satisfied both equations so x=2 put in the

1st equation

5 x 2+2y=-4

2y=-4 -1 0= -14

y= -7

Which of these is closest to the measure of the angle?
Choose 1 answer:
A. 120∘ degrees
B. 180∘ degrees
C. 60∘ degrees
D. 270∘ degrees

Answers

Answer: D

Step-by-step explanation:

180+90= 270

90x3=270

Answer is 270 degrees

can you guys help me please thank you sm!!!
:)

Answers

x=14
Hopefully this helps

Please help me please

Answers

Answer:

15

Step-by-step explanation:

A=(a+b)/ 2 x h
A= (4+6)/ 2 x 3
A= 15

If I am wrong then please let me know

I agree that it should be 15 as well

Selections
-One Solution
-No Solution
-Infinite Solution

Answers

A is infinite, B should be none and C is one.
A is infinite, B should be none and C is
one.

Answer this for me!!

Answers

Answer:A=2b square root 2

Step-by-step explanation: the base is b and the exponent is 2 the factor b repeats2 time so the base is b and exponent is 2

A=2b square root 2 because base b is the root and that repeats 2 times

Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it take for Erin to run 25 miles? Distance (miles) y 60 50 9 20 10 0 2 3 4 Time (hours) 5 X 6​

Answers

2.5h
Showed in the graph where y axis is 25, x=2.5

Answer:

2.5 hours (2 and 1/2)

Step-by-step explanation:

Every 1 hour, Erin runs 10 miles and so on. The ratio is 1:10 (2:20, 3:30, etc.) 25 is 20+5, and 5 is considered 1/2 of 10, so it would count as 0.5 (or 1/2). So in 2.5 hours Erin will run 25 miles. Hope it helped :>

solve for a,b,c,and d.

Help ASAP!

Answers

A $-155.15
B $-223.75
C$-1.40
D$-4.4
A= -155.15
B= -223.75
C= -1.40
D= -4.4

The Pyramid Arena In Memphis, Tennessee, is a square pyramid that is 321 feet tall. The base has 600-foot sides. Find the volume of the pyramid.

Answers

ANSWER: 38,520,000 cubic inches or 3.85 x 10^7


work:

The volume (V) of a pyramid is one third the area of the base (B) times the height of the pyramid (h).
V= 1/3​Bh
Since the pyramid is a square pyramid, so B=600×600=360000 sq feet

V= 1/3×360000×321= 38,520,000 cubic inches or V=3.85×10^7

Answer:

38,400,000 cubic feet.

Step-by-step explanation:

To find the volume of a pyramid, you can use the formula:

V = (1/3) * base area * height

In this case, the base is a square with sides of 600 feet, so its area is:

base area = 600 * 600 = 360,000 square feet

The height of the pyramid is given as 321 feet.

Now we can plug in the values into the formula:

V = (1/3) * 360,000 * 321

V = 38,400,000 cubic feet

Therefore, the volume of the Pyramid Arena in Memphis, Tennessee, is approximately 38,400,000 cubic feet.

someone, please help. also, solve if possible

Answers

Step-by-step explanation: Well, it’s asking you to write an equation for it in Y=MX+B format. That would be something like y=4x+2 (not the answer.) There are 4 different points on here. A, b, c, and d. There is an incomplete equation, 2x+1. There is also a degree, 33. This shape that these lines formed also have a 90 degree angle, as you can see next to the B. It’s pretty much 3 angles out together. Find the degrees for the two other angles, after you do that, use a formula like this, 1+2, then subtract the answer from 180 degrees. If the number turned out negative, then subtract 180 from the answer instead. That will get you far enough to actually form the equation.

...................................................................

Answers

Answer:

Let me explain. :)

Step-by-step explanation:

Step 1:

We know that Gherell has 75 marks. Delia has 5 marks less than Gherell, so  we do 75-5 which is 70.

Step 2:

To find out Josiah's mark, we must find 20% of 70. Now, I am not sure if you learned how to find the percents and the amount of decrease, but if you calculate, it is 14. Then you do 70-14 because 14 is how many marks he lost, and that is 54.

Step 3:

Subtract 4 from 54 to get 50 marks.

Step 4:

Shevonne's marks are the average of both Josiah and Liam's mark, so we must find the average. The average is calculated by adding both Josiah and Liam's mark, and divide it by the number of people. [tex]\frac{Josiah+Liam}{2} = \frac{54+50}{2}[/tex]

Then, you get 104/2 which is 52. Shevonne has 10 more marks than the average, so you would add 10 to 52 which is 62.

There we have it! Hope it helped. :D

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.



Drag and drop the choices into the boxes to correctly complete the table.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
corresponding alternate interior alternate exterior none of these

Answers

Answer: 1st one=alternate interior angles

2nd one=linear pair

3rd one=corresponding angles

4th one= alternate exterior angles

5th one= corresponding angles

Step-by-step explanation:

The population of a city decreases by 1.7% per year. If this year's population is 192,000, what will next year's population be, to the nearest individual?

Answers

Answer: 188,736

Step-by-step explanation:

The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.

0.983 * 192,000 = 188,736

 

1.7% is equivalent to 0.017 as a decimal. So the calculation is:

next year's population = 192,000 x (1 - 0.017) = 188,736

Rounded to the nearest individual, next year's population will be 188,736.

You pick a card at random What is P(factor of 48)?

Answers

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

most factors of 48 are even so your anwser may be 8.

Which angles are complementary to each other? Select all that apply.

Answers

I think it's angles 5 and 2, angle 3 and 6, angles 4 and 1.

Step-by-step explanation:

i guess

Angles BDC and ADB I think

Last year at a certain high school, there were 56 boys on the honor roll and 135 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer: 18.5%

Step-by-step explanation: Last year, there were 56 boys and 135 girls on the honor roll, for a total of 191 students. This year, the number of boys on the honor roll increased by 25%, which means there are now 70 boys on the honor roll (56 * 1.25). The number of girls on the honor roll increased by 20%, which means there are now 162 girls on the honor roll (135 * 1.20).

The total number of students on the honor roll this year is therefore 70 + 162 = 232.

To find the percentage increase in the total number of students on the honor roll, we can use the formula:

percentage increase = (new value - old value) / old value * 100

Plugging in the numbers, we get:

percentage increase = (232 - 191) / 191 * 100 = 21.47%

Rounding to the nearest tenth, we get an increase of approximately 18.5%.

Hope this helps, and have a great day!

Help please will mark brainliest

Answers

2.5 x 10 -13 , the last one

The last one!! Scientific Notation is my favorite!

A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?

A. 6 units

B. 14 units

C. 12 units

D. 7 units

Answers

The answer would be 12 units
The answer is C 12 units

math state test review

Answers

For starters, withdrawal means to take out money or SUBTRACTING money and deposit means to ADD money

Remember, after performing the withdrawal and deposit your the final value has to equal 275, the initial

Let’s take a look at each of the choices:

A. Does 275-232+132=275?
175 ❎

B. Does 275+278-278=275?
275 ✅

C. Does 275-115+312=275?
472 ❎

D. Does 275+205-317=275?
163 ❎

The correct answer is B

The logical way to think about this is that adding 278 and then taking out 278 cancels the action. -278+278=0, indicating that no change has been made

Answer:

B

Step-by-step explanation:

278-278 =0

so nothing has changes

What is the definition used to find angle A?

Answers

Answer:

vertically opposite angles

Step-by-step explanation:

A=66°

help me pls. i dont get it

Answers

Answer:

-4d=16

d=-4

Step-by-step explanation:

-4d-15=1

-fist add 15 to the both sides of the equation witch gives you -4d=16
-then divide by both sides by -4 and you get d=-4

can someone pls help

Answers

Step-by-step explanation:

A triangle has its interior angle sum as 180°

[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]

[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]

what is this (6x+4)+26=90 ?

Answers

Answer:

x=10

Step-by-step explanation:

(6x+4)+26=90

6x+4+26=90

6x+30-30=90-30

6x÷6=60÷6

x=10

Answer:

the answer is X=10

(6x+4)+26=90

6x +30=90

6x= 90÷30

6x=60

X = 60÷6

X= 10

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