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tensa zangetsu [6.8K]
3 years ago
7

Is y=3x+2y a function

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

it is a function.

Step-by-step explanation:

y=3x+2y

-2y -2y

-y/-=3x/-

y=-3x

linear function

y=x

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According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
Anon25 [30]

 Let X be a discrete binomial random variable.
 Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
 Let n = 18 be the number of independent tests.
 Let x be the number of successes.
 So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:

 a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
 P (X = 8) = 0.0506.

 b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:

 P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.

 c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
4 0
3 years ago
The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
3 years ago
One leg of a right triangle is 4 less than the other leg. The square of the hypotenuse of the right triangle is 80. How long are
Hitman42 [59]
I hope this helps you

6 0
3 years ago
Please help I need help
Andre45 [30]

An inverse variation can be represented by the equation

xy=k\to y=\dfrac{k}{x}

We have

\dfrac{y}{6}=x\qquad|\cdot6\\\\y=6x

Answer: The relationship does not show an inverse variation.

6 0
3 years ago
Keisha's boat has a top speed of 9 miles per hour in still water. While traveling on a river at top speed, she went 10 miles ups
neonofarm [45]
If she went 10 miles upstream in the same time as she went 20 miles downstream, that means the downstream speed is twice the upstream speed.

The speed is still water is 9 mph.
The speed of the current is c.
Going downstream, the current adds speed, so the sped downstream is 9 + c.
The speed upstream is 9 - c.
9 + c is twice 9 - c.

9 + c = 2(9 - c)

9 + c = 18 - 2c

3c = 9

c = 3

Answer: The speed of the current is 3 mph.

Check:
9 + c = 12
9 - c = 6
By taking into the account the speed of the current, the downstream speed, 12 mph, is indeed twice the upstream sped, 6 mph.

6 0
3 years ago
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