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adell [148]
3 years ago
5

12/18 In simplest form

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0
2/3 is the simplest form
AleksandrR [38]3 years ago
4 0

Answer:

Find the gcf, greatest common factor, of 12 and 18 and solve

Step-by-step explanation:

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

The gcf is 6, so divide the numerator and denominator by 6.

12 / 6 = 2

18 / 6 = 3

Therefore, 12/18, when relatively prime, is 2/3

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Solve for x <br><br> Please help
Elodia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

       10x - 10° = 100°

       10x = 100° + 10°

        10x = 110°

           x = 110° / 10°

           x = 11°

2) Alternate exterior angles measure the same

       x + 99° = 90°

       x = 90° - 99°

       x = -9°

3) Supplementary angles measure 180°

       (6x + 12) + (14x + 8) = 180°

        6x + 12 + 14x + 8 = 180°

        20x + 20 = 180

        20x = 180 - 20

        20x = 160

            x = 160 / 20

            x = 8

4)  Alternate exterior angles measure the same

           26x + 1 = 131°

            26x = 131° - 1°

            26x = 130°

            x = 130° / 26°

            x = 5

5) Consecutive interior angles measure 180°

             x + 100 + 85° = 180°

             x + 185 = 180

            x = 180 - 185

              x = -5

             

6) Corresponding angles measure the same

            7x - 7 = 70

            7x = 70 + 7

            7x = 77

              x = 77 / 7

              x = 11

7) Supplementary angles measure 180°

            (12x + 8) + (100°) = 180°

              12x + 8 + 100 = 180

              12x + 108 = 180

              12x = 180 - 108

              12x = 72

                  x = 72 / 12

                  x = 6

8) Consecutive interior angles measure 180°

              18x + 8x - 2 = 180°

              26x = 180 + 2

               26x = 182

                   x = 182 / 26

                   x = 7

9) Corresponding angles measure the same

               27x + 7 = 28x + 3

              27x - 28x = 3 - 7

              -1x = -4

                x = -4/-1

                x = 4

10) Consecutive interior angles measure 180°

              (x + 107) + (x + 87) = 180

               x + 107 + x + 87 =  180

               2x + 194 = 180

               2x = 180 - 194

               2x = -14

                 x = -14 / 2

                 x = -7

   

         

       

5 0
3 years ago
1- Random response The question on the right appears on a survey. Why are people told to roll a dice? It makes the survey more f
stellarik [79]
The answer would be 14 because I don’t know how to explain it
6 0
2 years ago
Translate to algebra; the quotient of a number less than ten and the number less two<br>​
Alja [10]

Answer:

please can u give full question

5 0
2 years ago
Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu
malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 15, p = \frac{1}{20}

a) The standard deviation is 0.8441

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441

This is correct

b) The number of trials is equal to 15

n is the number of trials and n = 15. So this option is correct.

c) The probability that x equals 1 is 0.3658

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

E(X) = np = 15*0.05 = 0.75

This option is correct.

f) None of the above

d is false

3 0
3 years ago
The function y = x * ln(x + e) has two distinct x intercepts. One is at x = a and the other is at x = b. The value of a + b is
Snezhnost [94]
As points, x-intercepts take the form (x,0), so to find the intercepts we can set y=0 and solve for x.

x\ln(x+e)=0\implies\begin{cases}x=0\\\ln(x+e)=0\end{cases}

From the first equation alone, we already know that x=0 is a solution, which means one intercept is (0,0).

The second equation gives

\ln(x+e)=0\implies e^{\ln(x+e)}=e^0\implies x+e=1\implies x=1-e

so that the second intercept occurs at (1-e,0).

So if a=0 and b=1-e, we have a+b=1-e, giving C as the answer.
3 0
3 years ago
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