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3 years ago

Square root 30 times square root 10

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

10 $\sqrt{3}$

Step-by-step explanation:

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A pitcher throws a 9 kg baseball in a straight line. Its momentum is 2.1 kg-m/s. What is the velocity of the

Zina [86]

Answer:

$0.23\:\mathrm{m/s}$

Step-by-step explanation:

The momentum of an object is given by $p=mv$ , where $m$ is the mass of the object and $v$ is the velocity of the object.

What we're given:

object's mass $m$
object's momentum $p$

Substituting given values, we can solve for $v$ :

$2.1=9v,\\v=\frac{2.1}{9}\approx \boxed{0.23\:\mathrm{m/s}}$

3 0

3 years ago

Consider an espresso stand with a single barista. Customers arrive at the stand at the rate of 28 per hour according to a Poisso

Snowcat [4.5K]

Answer:

The average number of customers in the system is 3.2

Step-by-step explanation:

The average number of customes in the system is given by:

$L = \frac{\lambda^{2}}{\mu(\mu - \lambda)}$

In which

$\lambda$ is the number of arirvals per time period

$\mu$ is the average number of people being served per period.

The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.

Customers arrive at the stand at the rate of 28 per hour

This means that $\lambda = 28$

Service times are exponentially distributed with a service rate of 35 customers per hour.

This means that $\mu = 35$ . So

The average number of customers in the system (i.e., waiting and being served) is

$L = \frac{\lambda^{2}}{\mu(\mu - \lambda)}$

$L = \frac{28^{2}}{35(35 - 28)} = 3.2$

The average number of customers in the system is 3.2

4 0

3 years ago

What is the sale price of $59 with a 10% discount??

Sergio [31]

10% of 59 = 5.9

59 - 5.9 = 53.1

answer: sale price is $53.1

4 0

3 years ago

What is 1 and 5/6 as a decimal?

balandron [24]

Answer: 1.83

Step-by-step explanation:

Hope this helps!

8 0

3 years ago

Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

Annette [7]

The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3><u>Solution:</u></h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

<em><u>The equation of circle is given as:</u></em>

$(x - h)^2 + (y - k)^2 = r^2$

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

6 0

3 years ago