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3 years ago

14

In a basketball game, the bulldogs make a total of 21 shots. Some of the shots are 2-pt shots while others are 3-pt shots. The b

ulldogs score a total of 50 points. How many 2-point and 3-point shots did they make?

1 answer:

VARVARA [1.3K]3 years ago

6 0

Answer:

It is 8 3 pointers and 13 2 pointers

Step-by-step explanation:

8 x 3 = 24

13 x 2 = 26

24 + 26 = 50

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Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic

kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by, α = 36 / day

Truck operation departure rate is given, β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

$w_{s} = \frac{1}{\alpha - \beta }$

where $w_s$ is waiting time in system

$\alpha$ is arrival rate described Poission distribution

$\beta$ is service rate described by Exponential distribution

$w_{s} = \frac{1}{\alpha - \beta }$

$w_{s} = \frac{1}{48 - 36 }$

$w_{s} = \frac{1}{12 } day$

$w_{s} = \frac{1}{12 } \times 24 hour$ ...it is due to 1 day = 24 hours

$w_{s} = 2 hours$

Therefore, time required for waiting in system is 2 hours.

5 0

3 years ago

A figure has vertices at L(3,3), M(2,4), and N(−1,0). After a transformation, the image of the figure has vertices at L′(2,−5),

alexandr402 [8]

The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

<h3>How to identify the preimage and image?</h3>

First, the original vertices are:

L(3, 3)

M(2, 4)

N(-1, 0)

3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

L'(2, -5)

M'(3, -4)

N'(-1, 1)

And the graph of both sets can be seen below.

Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

This is a clear implication that the transformation was a reflection over the line x = -0.5

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0

1 year ago

Two or more complete sentences, explain how to use ordered pairs of points in f(x) and g(x) to determine if f(x) and g(x) are in

kati45 [8]

If f(x) is an inverse of g(x),

when
f(x)=y
g(y)=x

aka
f(g(x))=x
g(f(x))=x

basically, the values should be swiched

example
f(x)=
(1,2)
(2,3)
(4,5)
then g(x)=
(2,1)
(3,2)
(5,4)

6 0

4 years ago

NEED HELP, DUE SOON! Find the area of the composite figure below and then chose the correct answer.

klemol [59]

Answer:

A) 288.62

Step-by-step explanation:

10.4×15.3= 159.12

10.4²+15.3²= X²

342.25= X²

18.5= X

7×18.5= 129.5

129.5+159.12= 288.62

4 0

2 years ago

if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 d

Cerrena [4.2K]

Answer:

Step-by-step explanation:

no of days no of men

30 20

24 20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore 5 more men are needed to complete the work in 24 days

8 0

3 years ago