What is the slope of a line parallel to line Y= 3x +2

Mathematics

2 answers:

masya89 [10]3 years ago

5 0

It is already Parraell.

amid [387]3 years ago

3 0

the slope would be 2 x and the place meny on the line would depend on the b

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No clue how to do this

andreev551 [17]

B is your awnser! sorry if im wrong my calc shows its without a - symbol

7 0

3 years ago

It is estimated that 30% of households own a riding lawn mower. A sample of 17 households is studied. What is the standard devia

alina1380 [7]

Answer:

1.89 is the standard deviation of households who own a riding mower

Step-by-step explanation:

Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and p = 30% = 0.3

The standard deviation of X;

$\sqrt{n*p*(1-p)}$

$\sqrt{17*0.3*(1-0.3)} =1.89$

7 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .