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3 years ago

9

What’s the probability of drawing one blue marble from a bag which contains 4 red marbles , 6 green marbles , 1 white marble and

3 blue marbles ?
Help please

1 answer:

Gemiola [76]3 years ago

8 0

Answer:3/14

Step-by-step explanation:

The probability that it is a blue marble is 3 out of total marbles of 14

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

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3 years ago

Which of the following sequences is an arithmetic sequence?

Rzqust [24]

C. since you are constantly dividing by 5

100 ÷ 5 = 20

20 ÷ 5 = 4

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3 years ago

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ycow [4]

60% - 3/5
Hope this help, don't really know what your expecting the answer to be

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

PLEASE HELP ME ASAP

goblinko [34]

Answer:

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Step-by-step explanation:

The diagram shows right triangle ABC. Use the definition of the cosine:

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3 years ago