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joja [24]
3 years ago
12

Solve for x (19x-18) (7x+1) (10x-9)

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

Step-by-step explanation:

Exterior angle property: Exterior angles equals the sum of remote angles

19x - 18 = 7x + 1 + 10x - 9

19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u>    {Combine like terms}

19x - 18 = 17x - 8          {Subtract 17x from both sides}

19x - 17x - 18 = -8

        2x - 18 = -8         {Add 18 to both sides}

              2x = -8 + 18

             2x = 10

              x = 10/2

x = 5

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Question Help Assume that when adults with smartphones are randomly​ selected, 6464​% use them in meetings or classes. If 2020 a
Vitek1552 [10]

Answer:

16.78% probability that exactly 12 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smartphone in meetings or classes, or they do not. The probability of a person using their phone in meetings or classes is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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.

64​% use them in meetings or classes.

This means that p = 0.64

20 adult smartphone users are randomly​ selected

This means that n = 20

Probability that exactly 12 of them use their smartphones in meetings or classes.

This is P(X = 12).

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

P(X = 12) = C_{20,12}.(0.64)^{12}.(0.36)^{8} = 0.1678

16.78% probability that exactly 12 of them use their smartphones in meetings or classes.

5 0
3 years ago
A right triangle has a hypotenuse that measures 42 feet and a length of another side of 31 feet. How long is the third side of t
masya89 [10]

Step-by-step explanation:

Use Pythagorean theorem:

c² = a² + b²

Here, c = 42 and a = 31.

42² = 31² + b²

b = √803

b ≈ 28.3

5 0
3 years ago
If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction b
deff fn [24]

Answer:

B

Step-by-step explanation:

Assuming the denominator is 16 (to fit with the second part), 9+3 is 12 and 12/16 is 3/4.

If we take 7 from 16 we also get 9, which is thus 1.

4 0
4 years ago
Please please need help on these two
kati45 [8]

Answer:

( f + g ) (x) = 2 x^{2}  + x - 4

g(x) - f(x) = x^{2}  - 2 x - 4

Step-by-step explanation:

  1. f(x) = 4 x - 4 and g(x) = 2 x^{2} - 3 x

( f + g ) (x) = f(x) + g(x)

                = 4 x - 4 + 2  x^{2}  - 2 x

                = 2 x^{2} + x -4

   2.  g(x) = x^{2}  + 1 and f(x) = 2 x + 5

g(x) - f(x) = x^{2}  + 1 - (2 x + 5)

              = x^{2}  + 1 - 2 x - 5

              = x^{2}  - 2 x - 4

6 0
3 years ago
Whats the answer for substitution x=9 y=3x-1
Blizzard [7]

Answer:

x=9, y=26. (9, 26).

Step-by-step explanation:

x=9

y=3x-1

--------

y=3(9)-1=27-1=26

8 0
3 years ago
Read 2 more answers
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