HELP QUICK! 20 POINTS PLEASE GET IT CORRECT

the sum of three numbers is 2100. the first number x is equal to the sum of the other two (y and z) which are equal to each othe

max2010maxim [7]

We will have a system of equations, and we are going to solve it by using substitution.
Let's make the equations.
x+y+z=2100
z+y=x
Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.
These are the equations now.
x+2a=2100
2a=x
Since the second equation is giving the value of x, let it replace the value of x also in the first equation.
2a+2a=2100
4a=2100
2100÷4= 525
so, x and y equal 525. Let's put this in our original equation.
x+525+525=2100
x+ 1,050= 2,100
x= 1,050
So, x=1,050, y= 525 =z.

7 0

2 years ago

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of k success in n samples drawn from a population of size N which include K success. Every draw is either a success of failure.

The random variable X = number of meals that will exceed the cost covered by the company.

The random variable X follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

3 years ago

A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.

Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

$PE=mgh$

where

$mg=30 N$ is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

$KE+E_t = \frac{1}{2}mv^2 + E_t$

where:

$m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg$ is the mass

v = 13 m/s is the final speed of the stone

$E_t$ is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

$E_t=W=Fh$

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

$mgh=\frac{1}{2}mv^2+Fh$

And solving for F, we find the average force of air friction:

$F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N$

3 0

2 years ago

Three pounds of fertilizer covers 900 feet.How many pound of fertilizer will cover 2,100 feet?

sveticcg [70]

To solve this problem, you can make a proportion:

3/900 = x/2100

In this case, the x represents the pounds that will be needed to cover 2,100 feet.

The first step is to cross multiply like this:

3 * 2100 = 900 * x

Now you can simply the equation.

6300 = 900x

Now you divide both sides by 900 to cancel it out.

7 = x

So, your answer is 7 pounds.

7 0

2 years ago

7/2x+1/2=10 1/2+9/2x what is the value of x

gogolik [260]

Answer:

21

Step-by-step explanation:

3 0

2 years ago

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