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3 years ago

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Which of the following is the sum of the polynomials 5x2 - 4x + 1 and -3x2 + x - 3 ?

1 answer:

yulyashka [42]3 years ago

3 0

The answer is 2x^2-3x-2.
Just align the polynomials and combine like terms.

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The smith family bought a new tent for a camping tent

Zepler [3.9K]

The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
The volume is area of the base times height, and the base is a triangle.
Find the area of the triangle and multiply by the height of the prism.

V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle

V = AH

V = (1/2)bhH

V = (1/2) * 9 ft * 7 ft * 15 ft

V = 472.5 ft^3

3 0

3 years ago

Read 2 more answers

The question <br> Najheheggebbsbv nhsygenbs

dezoksy [38]

Answer: 1.) √121= 11

Step-by-step explanation:

11•11=121

4 0

3 years ago

Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

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 interval.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

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

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

Apply the Pythagorean Theorem to find the distance between points B and C.

Lyrx [107]

10 units

6^+8^=X^

36+64=x^

100=x^

10=x

3 0

3 years ago

Read 2 more answers

What's the surface area of this figure? (figure shown on picture)

KIM [24]

Answer:

800 in²

Step-by-step explanation:

Let’s find the area of all the shapes in the net.

10 · 10 = 100

100 · 2 = <u>200</u>

15 · 10 = 150

150 · 4 = <u>600</u>

200 + 600 = <u><em>800</em></u>

3 0

3 years ago