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3 years ago

1. Which point is located at (2,0)?

Mathematics

1 answer:

Nostrana [21]3 years ago

8 0

Answer: The answer is A

Step-by-step explanation: Move 2 units to the right and then you end up with point A

You might be interested in

At what value of x does the graph of the following function F(x) have a vertical asymptote

antoniya [11.8K]

Answer:

Step-by-step explanation:

The value of x where there will be a vertical asymptote is when the denominator is 0 because that would be undefined. The value of x that makes the denominator 0 is x = 2.

3 0

4 years ago

3.050904 in standard form

rosijanka [135]

The standard form is also known as the Scientific Notation

So to find the standard form for 3.050904 we need to start counting from 4 until we reach the zero. So let's count :)

I got 6 numbers (but don't count number 3)

Now since the virgule is in front of the 6 number we will have ^-6

Like that : 3050904*10^-6

Why do we have -6 instead of 6 ? well the reason is because we're going on the left side. Because we start counting from right(4) until we reach the left side(0)

I hope that's help and please if you have any suggestion let me know :)

8 0

3 years ago

Determine if this is a linearly dependent or independent set: (V, V, V ) where syon V = (1,2,2,-1), V = (4,9,9,-4), v = (5,8,9,-

marishachu [46]

Answer:

This is a linearly independent set.

Step-by-step explanation:

We have these following vectors:

$V_{1} = (1,2,2,-1)$

$V_{2} = (4,9,9,-4)$

$V_{3} = (5,8,9,-5)$

In a set of 3 vectors, if one of these vectors can be written as a linear combination of the 2 other vectors, they are linearly dependent. Otherwise, they are linearly independent.

We can verify this by solving the following system:

$xV_{1} + yV_{2} + zV_{3} = (0,0,0,0)$

If the only solution is $(x,y,z) = (0,0,0)$ , they are L.I. Otherwise, they are L.D.

Solution:

$xV_{1} + yV_{2} + zV_{3} = (0,0,0,0)$

$x(1,2,2,-1) + y(4,9,9,-4) + z (5,8,9,-5) = (0,0,0,0)$

We have the following system of equations:

$x + 4y + 5z = 0$

$2x + 9y + 8z = 0$

$2x + 9y + 9z = 0$

$-x -4y - 5z = 0$

I am going to solve this by the row-reduction of the augmented matrix.

This system has the following augmented matrix:

$\left[\begin{array}{cccc}1&4&5&0\\2&9&8&0\\2&9&9&0\\-1&-4&-5&0\end{array}\right]$

To reduce the first row, i am going to make these following operations:

$L_{2} = L_{2} - 2L_{1}$

$L_{3} = L_{3} - 3L_{1}$

$L_{4} = L_{4} + L_{1}$

So the augmented matrix now is:

$\left[\begin{array}{cccc}1&4&5&0\\0&1&-2&0\\0&1&-1&0\\0&0&0&0\end{array}\right]$

Now I reduce the second row, doing:

$L_{3} = L_{3} - L_{2}$

So the matrix is:

$\left[\begin{array}{cccc}1&4&5&0\\0&1&-2&0\\0&0&1&0\\0&0&0&0\end{array}\right]$

Now we can solve the system:

From the third line, we have that

$z = 0$

From the second line:

$y - 2z = 0$

$y - 2(0) = 0$

$y = 0$

From the first line

$x + 4y + 5z = 0$

$x + 4(0) + 5(0) = 0$

$x = 0$

The only solution for this system is $(x,y,z) = (0,0,0)$ . This means that we have a linearly independent set.

3 0

3 years ago

The number of knots in a particular type of wood has a Poisson distribution with an average of 1.6 knots in 10 cubic feet of the

HACTEHA [7]

Answer:

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

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 interval.

1.6 knots in 10 cubic feet of the wood.

This means that $\mu = 1.6$

Find the probability that a 10-cubic-foot block of the wood has at most 5 knots.

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

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

$P(X = 0) = \frac{e^{-1.6}*(1.6)^{0}}{(0)!} = 0.202$

$P(X = 1) = \frac{e^{-1.6}*(1.6)^{1}}{(1)!} = 0.323$

$P(X = 2) = \frac{e^{-1.6}*(1.6)^{2}}{(2)!} = 0.258$

$P(X = 3) = \frac{e^{-1.6}*(1.6)^{3}}{(3)!} = 0.138$

$P(X = 4) = \frac{e^{-1.6}*(1.6)^{4}}{(4)!} = 0.055$

$P(X = 5) = \frac{e^{-1.6}*(1.6)^{5}}{(5)!} = 0.018$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.202 + 0.323 + 0.258 + 0.138 + 0.055 + 0.018 = 0.994$

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

5 0

3 years ago

Find the volume of a cone with radius 4 inches and height 5 inches. Round your answer to two decimal places

faltersainse [42]

Answer:

Volume of the cone = $83.73$ cubic inches

Step-by-step explanation:

Given:

Radius of the cone= $4 inches$

Height of the cone= $5 inches$

Volume of a cone(V) :

$\pi *r^2*\frac{h}{3}$

Putting the given values in the formula:

Volume of the cone:

$3.14*4*4*\frac{5 }{3}$ : $\pi =\frac{22}{7} =3.14$

$16*3.14*\frac{5}{3}$

$83.73$ cubic inches

So, the volume of the cone up to two decimal places is $83.73$ cubic inches

3 0

3 years ago