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2 years ago

Complete the table of values for y=2xsquared+x

Mathematics

1 answer:

hodyreva [135]2 years ago

8 0

The solution of y= $2x^{2} +x$ given as:

x: 0 1 2 3

y: 0 3 10 21

<h3>What is Linear Equation?</h3>

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given function is:

y= $2x^{2} +x$

For finding the solution of above expression, take value of x and solve for y.

If x=0

y= 2(0)+0

y=0

If x=1,

y= $2(1)^{2} +1= 3$

If x=2

y= $2(2)^{2} +2=10$

If x=3

y= $2(3)^{2} +3=21$

The required table is:

x: 0 1 2 3

y: 0 3 10 21

Learn more about linear equation here:

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A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

8 0

4 years ago

Which ordered pairs make both inequalities true? Check all that apply

Umnica [9.8K]

Answer:.

Step-by-step explanation:

8 0

2 years ago

In a school cafeteria one student on average can eat 120 potatoes worth of French fries in one year the total number of students

Brilliant_brown [7]

Answer:

240 potatoes

Step-by-step explanation:

120 one year= 12 one month

if there is 20 people and they have 12 potatoes a month, multiply 12x20 and you get 240.

6 0

2 years ago

A company recently started shipping its products in boxes with the following dimensions: 3 ft x 5 ft x 2 ft. The boxes the compa

Sonja [21]

Answer: The new boxes are 14 ft3 larger.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each box and compare them.

Volume of a rectangular prism = base x height x length

Replacing with the values given:

Old boxes volume: 4 x 2 x 2 =16 cubic feet

New boxes' volume: 3 x 5 x 2 = 30 cubic feet

Subtraction the old boxes volume to the new boxes volume:

30 ft3- 16 ft3 = 14 ft3

The new boxes are 14 ft3 larger.

7 0

3 years ago

(Do it if you want BRAINLY) The original height of Khafre's pyramid, next to the Great Pyramid, was about 471 ft. Each side of

Lesechka [4]

We have the base measurement for the triangles composing the sides. We need their altitude.

Imagine a right triangle with these sides:

(1) from the apex of the pyramid to the point on the base directly underneath it (471 ft);

(2) from the middle of base edge to the point underneath the apex (half of 708 ft = 354 ft);

(3) the hypotenuse, the altitude of a triangular side.

Using the Pythagorean Theorem, we find the hypotenuse to be

√(471^2 + 354^2) = about 589.2 feet

Now we add up the four triangles' areas. Each is base * altitude / 2, so:

4 x 708 x 589.2 / 2

= 2 x 708 x 589.2

= 834,307.2 square feet, the lateral area.

7 0

4 years ago