All categories

3 years ago

Find the equation of the plane through the point p=(2,3,4)p=(2,3,4) and parallel to the plane 5y−5x−5z=4.

1 answer:

8 0

Find plane Π parallel to 5y-5x-5z=4 containing point p=(2,3,4)

Any plane parallel to 5y-5x-5z=4 has the form 5y-5x-5z=k, or on simplification, y-x-z=k.

Since p lies in the plane, the coordinates of p must satisfy y-x-z=k, or
k=3-2-4=-3
=>
π : y-x-z=-3
equivalently,
π : 5y-5x-5z=-15

You might be interested in

Move two choices to the blanks to correctly complete the sentences.

Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

$S = \{HH,HT,TH,TT\}$ -- Sample Space

$n(S) = 4$ --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{1}{4}$

Multiply this by the number of tosses

$P(HT) * n= \frac{1}{4} * 20$

$P(HT) * n= 5$

Solving (b); experimental probability of HT

Here, we make use of the table

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{6}{20}$

$P(HT) = 0.30$ ---- Experimental Probability

In (a), the theoretical probability is:

$P(HT) = \frac{1}{4}$

$P(HT) = 0.25$ ---- Experimental Probability

By comparison;

$0.30 > 0.25$

6 0

3 years ago

Can someone please help on this Q-Q thanks

liq [111]

Answer:

Yup it’s d

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The table shows how many males and females attended two different movies. How would you find the joint relative frequency of bei

kirza4 [7]

Answer:

B. Divide 124 by 229.

Step-by-step explanation:

Given the table

$\begin{array}{cccc}&\text{Action}&\text{Drama}&\text{Total}\\ \\\text{Male}&105&124&229\\ \\\text{Female}&99&151&250\\ \\\text{Total}&204&275&479\end{array}$

The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.

The total number of males $=229$

The number of males that like drama $=124$

So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.

8 0

3 years ago

Read 2 more answers

What is 6 qt 15 fl oz - 4 pt 4 fl oz =____pt____fl oz

yan [13]

Answer:

4.0 = 64. 5.0 = 80. pints to fluid ounces. 6.0 = 96. 7.0 = 112. 8.0 = 128. 9.0 = 144. 10 = 160. 1 US fluid ounce ( fl oz) = 0.0625 US pints ( pt) = 0.03125 US quarts (qt) = 0.125 US cups (c) = 6 US teaspoons = 2 US tablespoons = 29.5735296 milliliters (ml) = 0.0295735296 liters (l).

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.

Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575