In how many ways can we write a number using the digits (0,2,3,5) and the number is greater than 100

Answers

Answer 1

This is a multiplicative principle's question. Let's think how we can solve that.

If we want numbers are greater than 1000, so we need numbers with 4 digit (for example: 1001, 2350 and so on).

Imagine that we need to complete four spaces: one thousands, hundreds, tens and ones. See below how to compelete each space:

One thousands: In this space, we can't use the number 0, because in this way, the number will have 3 digits and we want number with 4 digits (for example: 0235 is a 3 digits number). Therefore, we can use the numbers 2, 3 and 5 to complete this space. So, there are 3 possibilities.

Hundreds: Now, we can use the number 0 and the number won't have 3 digits (for example: 2035 is a 4 digits number). Therefore, we can use the numbers 0, 2, 3 and 5 to complete this space. So, there are 4 possibililities.

Tens: Ih this case, it happens the same thing that happen in the case of hundreds. Therefore, there are 4 possibilites.

Ones: Finally, in this case it also happens the same thing that happen in the case os hundreds. So, there are 4 possibilites.

For multiplicative principle, we just need multiply these numbers of possibilities to find the result of this question:

[tex]3\times4\times4\times4=192[/tex]

Therefore, we can write 192 numbers using the digits (0, 2, 3 and 5) and all these numbers are greater than 1000.


Related Questions

holly says 4.131131113... is a rational number . which following best describes whether holly correct and why ​

Answers

Answer:

its d holly is incorrect the decimal part follows a pattern but does not actully reapeat

Step-by-step explanation:

Two less than seven times a number is the same as ten times the same number increased by 1. What is the
number?

Answers

Answer:

x = -1

Step-by-step explanation:

first, create a formula or expression:

7x - 2 = 10x + 1

now, move the 10x, subtract it on the other side

-3x - 2 = 1

add 2

-3x = 3

divide by -3

x = -1

you can substitute it in to check

Simplify and divide the following radical expression: √3/ 6√7

Step by step please

Answers

Answer:

19

5

+

45

Step-by-step explanation:

Multiply:

2

6

.

Multiply:

3

9

3

6

.

2

3

5

2

.

Answer

[tex]21[/tex]/6  write the square root sign with 21 inside /6  (I cant make the sign

[tex]\sqrt{x} 3[/tex]/6 x 7

[tex]\sqrt{x} 3[/tex][tex]\sqrt{x} 7[/tex] /6    TAKE THE X's OUT) ok i cant make the sign  alone Draw a line

                      and put the 6 under the 3 and 7

[tex]3 x 7[/tex] /6            Put the 3x7 under one square root sign /over 6

21/6                Put the 21 inside the square root sign / over 6

Step-by-step explanation:

does that make sense?  i cant make the square root symbol  so dont put the x's with the numbers

What is the prime factorization of 23?

Answers

Answer: Prime factorization: 23 is prime. The exponent of prime number 23 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 23 has exactly 2 factors.

Step-by-step explanation: Hopefully this helped!

The prime factorization of 23 is 23 × 1. It is already in its simplest form and cannot be expressed as a product of smaller prime factors.

To determine the prime factorization of a number, we check if it is divisible by prime numbers starting from 2. If it is divisible, we continue dividing until we reach the smallest prime factors. However, in the case of 23, it is not divisible by any number other than 1 and 23.

⇒ 23 × 1

The prime factorization of 23 is simply 23 itself. A prime number is a number that is only divisible by 1 and itself, and 23 satisfies this condition. It cannot be further broken down into smaller prime factors.

Therefore, the prime factorization of 23 is 23.

Learn more about Prime Factorization here:

brainly.com/question/4184435

#SPJ6

7. All of the following are perfect square trinomials EXCEPT one. Which is it?
A. 4x2 + 12xy + 9y2
C. xy2 - 4x2y2 + 4x2y2
B. 9a? - 36a + 36
D. a²b2 + 4a3b + 4a?​

Answers

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

[tex](a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}[/tex], [tex]\forall\,a,b\in\mathbb{R}[/tex]

Let prove if each option observe this:

a) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex]

1) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex] Given

2) [tex](2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 2\cdot x[/tex], [tex]b = 3\cdot y[/tex] Definition of perfect square trinomial/Result.

b) [tex]9\cdot a^{2}-36\cdot a + 36[/tex]

1) [tex]9\cdot a^{2}-36\cdot a + 36[/tex] Given.

2) [tex](3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 3\cdot a[/tex], [tex]b = 6[/tex] Definition of perfect square trinomial/Result.

c) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex]

1) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex] Given

2) [tex]x\cdot y\cdot (1-4\cdot x+4\cdot x)[/tex] Distributive property.

3) [tex]x\cdot y \cdot 1[/tex] Existence of the additive inverse/Modulative property.

4) [tex]x\cdot y[/tex] Modulative property/Result.

d) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex]

1) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex] Given

2) [tex](a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = a\cdot b[/tex], [tex]b = 2\cdot a^{2}[/tex] Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

427 thousand in a scientific notation

Answers

Answer:

4.27 x [tex]10^{5}[/tex]

Step-by-step explanation:

The whole digit cannot go past 10 or be less than 1:

1 - 10 is the numbers of its max.

427,000

We would move the decimal point between 4 and 2 making:

4.2700

(Originally the decimal point moved 5 places because 427,000 is a whole number, which means the decimal point would be considered at the end, as shown below)

427,000.

By moving 5 places to the left this will be part of your: scientific notation as

___ x [tex]10^{5}[/tex]

(Then plug in 4.27 in front of your notation)

4.27 x [tex]10^{5}[/tex]

That is your answer!

Which of the following ratios is equivalent to 3:4
A: 2/3
B:3/4
C:4/3

Answers

B.3/4 is equivalent to 3:4

Answer: B

hope this helps

The slope (????) of the beam is given by:

θ(x) = dy/dx

Required:
Use a forward divided difference and a step size of h=0.3 to approximate the slope of the beam at x = 1. Calculated the true percent relative error.

Answers

Answer:

Step-by-step explanation:

From the given question:

The slope is expressed as;

[tex]\thteta (x) = \dfrac{dy}{dx} - - (1)[/tex]

[tex]\thteta (x) = \dfrac{dy}{dx}\left \{ {{\dfrac{y(x+b)-y(x)}{h} \ \ \to approximate} \atop {\dfrac{1}{100}}(-4+4x-3x^2+2x^3) \ \to \ exact } \right.[/tex]

[tex]\theta (x) _{approximate} = \dfrac{y(1+0.3)-y(1)}{0.3}[/tex]

[tex]\theta (x) _{approximate} = \dfrac{y(1.3)-y(1)}{0.3}[/tex]

[tex]\theta (x) _{approximate} = -2.965 \times 10^{-5}[/tex]

[tex]\theta(x)_{exact} = \dfrac{1}{100}(-4+4-3+2)[/tex]

[tex]\theta(x)_{exact} = -0.01[/tex]

Finally, the true percent relative error TPRE is:

[tex]TPRE= \dfrac{ | \theta(x)_{approximate} -\theta (x)_{exact} }{\theta (x)_{exact} }\times 100\%[/tex]

[tex]TPRE= \dfrac{ 2.965 \times 10^5 --0.01}{-0.01}\times 100\%[/tex]

TPRE = 70..35%

Please help me urgently

Answers

Answer:

184320 Cubic Cenimeters

Step-by-step explanation:

6th grade math help me plzz

Answers

Answer:

-3 -1/3, -2.4,0.2,9.5

Step-by-step explanation:

-2.4,-3:1/3,9.5,0.2

= -2.4,-2.67,0.2,9.5

=-2.67,-2.4,0.2,9.5#

Adam is scuba diving. He descends 6 feet below sea level. He descends
the same distance 3 more times. What is Adam's final elevation?

Answers

Answer:

-24

Step-by-step explanation:

Answer:

-18 feet below sea level

Step-by-step explanation:

Take 6 multiply by 3 then turn into a negative

Gertrude has 83.21 centimeters of wire. She uses 2 pieces of the wire.
Each piece she uses is 15.12 centimeters long. What is the length of
the remaining wire, rounded to the nearest tenth of a centimeter?
(Only round your final answer.)

Answers

Answer:W0t thu Ars £init

Step-by-step explanation:

Answer:

53 centimeters

Step-by-step explanation:

she uses 30.24 wire so subtract that from 83.21 then round that answer which was 52.97 to 53

At the beginning of the month Kiran had $24 in his school cafeteria account. Use a variable to
represent the unknown quantity in each transaction below and write an equation to represent it.
Then, represent each transaction on a number line. What is the unknown quantity in each case?
1. In the first week he spent $16 on lunches. How much was in his account then?

Answers

Answer:

he has 8$ left

Step-by-step explanation:

if you subtract 24 from 16 you get 8

Amy, Joan and Kevin each find rock. Amy's rock weighs 20.82 grams. Joan's rock
weighs 20.78 grams. The weight of Kevin's rock is between the weight of Amy's
rock and the weight of Joan's rock. What is a possible weight, in grams. of Kevin's
rock? Explain your thinking.

Answers

Answer:

20.80 grams

Step-by-step explanation:

This is a possible answer because 20.80 is directly in between the decimals 20.78 and 20.82

X and Y are supplementary angles. One angle measures 3 times the measure of the
other angle what is the measure of the smaller angle?

Answers

Answer:

Step-by-step explanation:

x + y = 180

3x = y

x + 3x = 180

4x = 180

x = 45

3*45 = y

y = 135

The two angles are

45

135

sian rounds 103,502 to the nearest thousand and gets 103,000. did sian make a mistake?

Answers

Answer:

the answer is 104,000

Step-by-step explanation:

sian needs to use the 5 in the hundreds place holder to round the 3 in the thousands face holder to 4.

hope this helps.

Each big square below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

91%

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Count the white blocks: 9

and subtract them from the blue blocks: 100 - 9 = 91%

50 points please help!!

Answers

I’m really not to sure sorry about that

8

I think

Hope this helps

Evan has 30 trading cards. He put them in stacks that each have 5 cards. Write a division sentence to find the number of stacks

Answers

Answer:

6

Step-by-step explanation:

30divided by 5 =6

Answer:

30 divided by 5= 6

Step-by-step explanation:

30 balls in total and 5 groups with 6 in each group

oooooo oooooo

oooooo oooooo

oooooo

help me please i’ll give you brainly thingy

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because 8/10 divided by 1/5 equals 4

Which quadrant would the point (-5,-3) end up in if it is rotated 180 degrees clockwise?

Answers

I believe it should be quadrant 1

Write an explicit rule for the geometric sequence:

3, -12, 48, -192

please help and thank you!

Answers

Answer:

I think you would just multiply by -4

Step-by-step explanation:

3 x -4 = -12

-12 x -4 = 48

48 x -4 = -192

Please let me know if I've done anything wrong!

respuesta de x+y+3=0​

Answers

The answer for the slope is -1

Which equation has the correct sign on the product?
A. 27(-5) = -135
B. (-4)(-4) = -16
C. (-61)(3) = 183
D. 22.4 = -88

Answers

Answer:

A

Step-by-step explanation:

27 x -5 = -135

Answer: A

Step-by-step explanation: Hope I helped you.

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
Find the value of the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Reject H0. There is a significant difference in drug resistance between the two states.Do not reject H0. There is a significant difference in drug resistance between the two states. Reject H0. There is not a significant difference in drug resistance between the two states.Do not reject H0. There is not a significant difference in drug resistance between the two states.

Answers

Answer:

Reject H. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, α = 0.02.

(1)

The hypothesis can be defined as follows:  

H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}= 0[/tex].  

Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}\neq 0[/tex].  

(2)

Compute the sample proportions and total proportion as follows:

[tex]\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\[/tex]

Compute the test statistic value as follows:

[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86[/tex]

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

[tex]p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424[/tex]

p-value = 0.00424 < α = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject H. There is a significant difference in drug resistance between the two states.

help please brainliest whoever gives the best answer.

Answers

Answer:

the anwser may eather be C or A

Step-by-step explanation:

i know this because if you read this the other two B and D dont entirly make scence and if those are not the correct answer i am sorry

i'm just explaining how i got this answer

{10, 12, 14, 16, 18, ...} What is the formula ?

Answers

Answer:

+2

Step-by-step explanation:

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees, estimate the time of Ratchett's death using Newton's Law of Cooling.

Answers

Answer:

Time of Death = 2 : 49 : 45 AM

Step-by-step explanation:

The formula for Newton's Law of Cooling is written as follows:

dT/dt = - K(T - Ts)

where,

dT = change in temperature

dt = time interval

K = cooling constant

T = Final Temperature of object

Ts = Surrounding Temperature

First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:

dT = 27°C - 28°C = -1°C

dt = 1 hr = 3600 s

K = ?

T = 27°C

Ts = 22°C

Therefore,

-1 °C/3600 s = - K(27 °C - 22 °C)

K = 1 °C/(3600 s)(5 °C)

K = 5.55 x 10⁻⁵ /s

Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:

dT = 28°C - 37°C = -5°C

dt = ?

K = 5.55 x 10⁻⁵ /s

T = 28°C

Ts = 22°C

Therefore,

- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)

dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)

dt = 1.5 x 10⁴ s

dt = 4.17 h = 4 h 10 min 15 s

Therefor,

Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15

Time of Death = 2 : 49 : 45 AM

2x-3y=-12 solve for y

Answers

Answer:

y intercept is 4

Step-by-step explanation:

What is the product of −25 and −0.8? Select all that apply.

Answers

Answer:

20

Step-by-step explanation:

comon sence

Answer:

0.32

Step-by-step explanation:

Other Questions
what graph has slope that best represents this rate What is the result when the number 42 is decreased by 50%? What does cuantos aos tienes mean Use the figure to find a+b+d + eA. 330B. 325C. 290D. 300 alguien quien quiera hablar del sexo Johnson Electronics is considering extending trade credit to some customers previously considered poor risks. Sales would increase by $115,000 if credit were extended to these new customers. Of the new accounts receivable generated, 9 percent will prove to be uncollectible. Additional collection costs will be 6 percent of sales, and production and selling costs will be 75 percent of sales. The firm is in the 30 percent tax bracket.Required:a. Compute the incremental income after taxes.b. What will Johnsons incremental return on sales be if these new credit customers are accepted?c. If the accounts receivable turnover ratio is 3 to 1, and no other asset buildup is needed to serve the new customers, what will Johnsons incremental return on new average investment be? Discuss and analyze a situation where you worked on a team/project team consisting of diverse or intercultural team members. Consider the following points in your response: a. What were some good and/or poor examples of communication? b. Discuss any examples or interpretation of cultural differences as described in Hofstede's Cultural Values chart on page 46 of your text (e.g., individualism, time orientation, formality, etc.). c. Was there anything that could have been done to make the communication more effective? . On a family road trip, Mr. Peters travels 130miles in 2 hours. At this rate, how many miles will he travel in 30 minutes? * Help me with this french 3 activity What will most likely happen in the absence of a nucleus? A = (1, 4) B = (3, 1) and C = (6, 3), What compounds would you use for a ceramic baking dish anyone know the answer?? How are goods/products moved? (Two examples) 5x + 2 = 12 square roots In Call of the wild how did Perrault settled the matter of the fight? 1What is a central idea of today's passage?ABC1What inference can be made about today's passage?ABC1What is the meaning of approximate as it is used in the passage?ABC Solve. 52x+12x=2712+72xThe value of x is What is the slope of the line that passes through the points (1,-1) and (-2, 25 points8)? *-1/3-3-9 Who came up with the solgan kill the Indian, but save mean?