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3 years ago

5

1400 concert tickets were sold for the festival. tickets cost $25 for covered pavilion seats and $10 for lawn seats. total recei

pts were $20,000. how many of each type of ticket were sold?

1 answer:

zalisa [80]3 years ago

3 0

Each type of ticket, 400 of them were sold. :)

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If 10 pounds of potatos cost 6.55 how much would 1 pound cost

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Divide ten by how much it cost 10/6.55=1.52

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3 years ago

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Depending on the car and the additional features, a convertible sports car can cost between $19,028 and $370,790. Write two ineq

liraira [26]

Cost of Car= C

$19,028 <span>≥</span><span> C ≤ $370,790
</span>
The cost of the sports car is greater than or equal to $19, 028 and less than or equal to $370,790.

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3 years ago

Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

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2 years ago

PLEASE ANSWER ASAP!!! Using the given equation find the missing coordinates of the points and then find the slope of the line fo

Andrei [34K]

Answer:

Step-by-step explanation:A.

B.

Slope =

Step-by-step explanation:

We are given the equation of the line as .

A. The co-ordinate is given by

Substituting the value , we get,

implies implies i.e. 3x = -1 i.e.

Thus, the co-ordinate is .

B. The co-ordinate is given by

Substituting the value , we get,

implies implies i.e. 9y = 0 i.e. y= 0

Thus, the co-ordinate is .

Since, the slope of a line is given by .

We get,

Slope = .

i.e. Slope = .

i.e. Slope = .

Hence, the slope of the line is .

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3 years ago

40 points answer ASAP

suter [353]

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

$\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8$

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

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2 years ago