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2 years ago

Find the distance between (5 , 1 ) and ( 3 ,6)

Mathematics

1 answer:

crimeas [40]2 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt{(6-1)^{2}+(3-5)^{2} }$ = $\sqrt{29}$

=5.39(correct to nearest hundredth)

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Anything that has mass and takes up space is

kvasek [131]

Matter is anything that takes up space and has mass.

8 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

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B19%7D%20%20%3D%206" id="TexFormula1" title=" \frac{x}{19} = 6" alt=" \fra

Alex17521 [72]

[ Answer ]

$\boxed{X \ = \ 114}$

[ Explanation ]

$\frac{x}{19}$ = 6

Multiply Both Sides By 19

$\frac{x}{19}$ = 6 · 19

Simplify:

X = 114

Check Your Work:

$\frac{114}{19}$

Simplify:

= 6

$\boxed{[ \ Eclipsed \ ]}$

5 0

3 years ago

A student has a savings account earning 3% simple interest. She must pay $1200 for first-semester tuition by September 1 and $12

Bingel [31]

Using simple interest, it is found that she needs to earn $2,391.07 during the summer.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:

A(0.25) = 1200, t = 0.25, r = 0.03.

Hence we have to solve for A(0):

A(0)(1 + 0.03 x 0.25) = 1200

A(0) = 1200/(1 + 0.03 x 0.25)

A(0) = $1,191.07.

She also needs to earn $1,200 to pay the first-semester bill on time, hence:

1200 + 1191.07 = $2,391.07.

She needs to earn $2,391.07 during the summer.

More can be learned about simple interest at brainly.com/question/16646150

#SPJ1

3 0

1 year ago

Marna is playing a game where you score −5 points each time youguess the correct answer. The goal is to get the lowest score. To

pishuonlain [190]

She would need to score 16 correct answers, because 80/5 = 16.

8 0

3 years ago