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o-na [289]
3 years ago
11

Find the value of x so that (x,-4) is on the line given by -2x + 3y = 6.

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

Step-by-step explanation:

-2x + 3y = 6.....(x, -4)...so y = -4

-2x + 3(-4) = 6

-2x - 12 = 6

-2x = 6 + 12

-2x = 18

x = -18/2

x = -9

so the value of x is -9.....(-9,-4)

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Is (-5,-5) a solution of y \geq -2x +4y≥−2x+4 ?
FromTheMoon [43]

Answer:

  No

Step-by-step explanation:

Substitute the values and see.

  -5 ≥ -2(-5) +4

  -5 ≥ 14 . . . . . . . . FALSE

The point (-5, -5) is <em>not a solution</em> to the inequality

  y ≥ -2x +4

___

A graph can quickly show you this.

7 0
3 years ago
WILL GIVE BRAIINLIEST ANSWER Tomas is at least 7 years older than Larry. If Tomas is 16 years old, how old is Larry?
ra1l [238]
Larry - ( 9 years old )
8 0
3 years ago
If 8 is subtracted from 7 times a number the result is 34
djverab [1.8K]
7x - 8 = 34

Solving:

7x = 34 + 8
7x = 42
x = 6

Hope this helps!
5 0
3 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

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

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
R= 10,15,20 S=20,25 R u S =
dolphi86 [110]
The answer to the question

6 0
3 years ago
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