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german
4 years ago
6

What is the smallest three digit number where exactly two digit are the same

Mathematics
2 answers:
sergejj [24]4 years ago
4 0

Answer:

100

Step-by-step explanation:

We want to find a number of the form x y z

We want to of the digits to be the same and for it to be as small as possible

For the number to be small, we want x to be 1

1 y z

We can either have y or z be 1 or y =z

If y=z=0 that is smaller than y or z =1

100

faltersainse [42]4 years ago
4 0

Answer: 100

Step-by-step explanation:

You might be interested in
Use your calculator to find the smallest solution to <img src="https://tex.z-dn.net/?f=-5e%5E%7B-4x%2B2%7D%2B3%3D%5Cfrac%7B1%7D%
Andru [333]
I read this as -5e⁻⁴ˣ⁺²+3=½log₁₀(x²+1).
If this is not right the steps below can guide you to a possible solution when the correct formula is used.
My calculator is a Casio fx-85GT PLUS which has a function facility (MODE 3: TABLE).
I input the function: -5e⁻⁴ˣ⁺²+3-½log₁₀(x²+1). I assumed that log was log to base 10 rather than natural log ln.
The facility asks me to input a start value, end value and step value. I chose -10, 10 and 1 initially.
After a few seconds of evaluating a table of results the calculator showed me the results of plugging in x=-10 up to 10 in steps of 1.
The results showed the evaluation for each of the 21 values and I looked for the sign of the result to change.
For x=0 the result was -33.95 approx and for x=1 it was 2.1728 approx. So between 0 and 1 there is a zero, a solution for x.
I returned to the function and changed the parameters to start=0, end=1, step=0.1 to begin the next evaluation.
This time the sign change occurred between x=0.6 and 0.7.
I returned to the function with parameters: start=0.6, end=0.7, step=0.01.
The sign change occurred between 0.63 and 0.64, the start and end parameters with step=0.001 for the next iteration.
The solution is between 0.633 and 0.634.
Repeat the process one more time with step=0.0001. The sign change was between 0.6338 and 0.6339 so the solution to three dec places is 0.634.
7 0
3 years ago
What is 10 to the power of 5? I must impreza the teacher!!!
stiv31 [10]

Answer:

100000

Step-by-step explanation:

10x10x10x10x10= 100000

7 0
3 years ago
In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
Stells [14]

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

  • 7x-2=x²-10
  • x²-7x-8=0
  • (x-8)(x+1)=0
  • x = -1, 8

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

5 0
2 years ago
magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose
Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents, 12 ​% chose chocolate​ pie, and the margin of error was given as plus or minus 5 percentage points.What values do ​ \r p ,  \ \r q, ​n, E, and p​ represent? If the confidence level is 90​%, what is the value of \alpha ​?

Answer:

a

   \r p is the sample proportion   \r  p  =  0.12

   n is the  sample size is  n  =  500

   E is the  margin of error is E  =  0.05

   \r  q represents the proportion of those that did not chose chocolate​ pie i.e                        \r  q  =  1-  \r p

b

   \alpha  = 10\%

Step-by-step explanation:

Here

    \r p is the sample proportion   \r  p  =  0.12

   n is the  sample size is  n  =  500

    \r  q represents the proportion of those that did not chose chocolate​ pie i.e  

      \r  q  =  1-  \r p

      \r  q  =  1-  0.12

      \r  q  = 0.88

     E is the  margin of error is E  =  0.05

Generally \alpha is the level of significance and it value is mathematically evaluated as

     \alpha  = ( 100 -  C  )\%

Where  C is the confidence level which is given in this question as  C =  90  \%

So  

    \alpha  = ( 100 -  90  )\%

    \alpha  = 10\%

5 0
3 years ago
Anthony is now designing the classroom layout for the school. Each hallway has exactly 5 classrooms. If Anthony has 48 classes t
cluponka [151]

Answer:

9 and a half

Step-by-step explanation:

the fewest number is 9.5 because thats the exact amount in hallways that he needs

4 0
3 years ago
Read 2 more answers
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