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Mila [183]
3 years ago
13

Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1

comma 3 right angle​, passing through the point (2 comma 0 comma negative 1 ).
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

x + 3y -z - 3 = 0      

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

\langle 3,0,3\rangle, \langle0,1,3\rangle

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0

It is the required equation of plane.

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Cardinal number of set A=1,2,3,4,0,7 is 6
lara [203]

Answer:

n(A) = 6

Step-by-step explanation:

Let consider a set A = {a, m, b, d, h}. There are five elements in the set. The no of elements in a set is known its cardinality. Since set A has five elements, its cardinality number is 5. The cardinality of the set A is denoted by n(A).

Hence, from the given information:

The set A = {1, 2, 3, 4, 0, 7} have a cardinality number of 6

n(A) = 6

3 0
2 years ago
Write 5 7/8 as an improper fraction
Likurg_2 [28]
5 7/8 is 47/8

Because,

You multiply 5 and 8 and then add 7, then you keep the denominator.
6 0
3 years ago
Read 2 more answers
A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they
ch4aika [34]

The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.

According to the statement

We have given that the in a survey showing that the approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain.

And we have to find the probability on the some given conditions.

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.

Now,

A. Here n = 20, P = 0.1, And  X ≥ 1. Then

The probability that at least one tie is too tight P(≥ 1) = 1 - P(0)

P(≥ 1) = 1 - 0.12

P(≥ 1) = 0.878.

And

B. Here P(≤2) = 0.67 Then

The probability that more than two ties are too tight P(≥ 3) = 1 - P(≤2)

P(≥ 3) = 1 - 0.67

P(≥ 3) = 0.323

And

C. The probability that none are too tight P(0) = 0.122.

And

D. Here n =20, P = 0.1 and X≤2

The probability that at least 18 are NOT too tight P(X≤2) = 0.67.

So, The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.

Learn more about probabilities  here

brainly.com/question/24756209

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities

A. What is the probability that at least one tie is too tight?

B. What is the probability that more than two ties are too tight?

C. What is the probability that none are too tight?

D. What is the probability that at least 18 are NOT too tight?

#SPJ4

4 0
2 years ago
NEED ANSWERS FASSSTTT!!
goblinko [34]

Answer:

answer c)

Step-by-step explanation:

Hope this helps you out

5 0
3 years ago
What is the probability that a red 10 is drawn in a regular deck of cards?
Advocard [28]

Answer:

1/26 or 1 out of 26

Step-by-step explanation:

only 2 red tens

52 cards in a deck

2/52=1/26

6 0
3 years ago
Read 2 more answers
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