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2 years ago

use vectors to decide whether the triangle with vertices p(1,-3,-2), Q(2,0,4), R(6,-2,-5) is right-angled.

1 answer:

4 0

The direction vectors for the three sides are given by the differences in the vertices, not the vertices themselves. So consider the vectors
P−Q,P−R,Q−RP−Q,P−R,Q−Rand see whether any of these are orthogonal.

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Before the distribution of certain statistical software, every fourth compact disk (CD) is testedfor accuracy. The testing proce

pishuonlain [190]

Answer:

P(T∩E) = 0.017

Step-by-step explanation:

Since every fourth CD is tested. Thus if T is the event that represents 4 disks being tested,

P(T) = 1/4 = 0.25

Let Fi represent event of failure rate. So from the question,

P(F1) = 0.01 ; P(F2) = 0.03 ; P(F3) =0.02 ; P(F4) = 0.01

Also Let F'i represent event of success rate. And we have;

P(F'1) = 1 - 0.01 = 0.99 ; P(F'2) = 1 - 0.03 = 0.97; P(F'3) = 1 - 0.02 = 0.98; P(F'4) = 1 - 0.01 = 0.99

Since all programs run independently, the probability that all programs will run successfully is;

P(All programs to run successfully) =

P(F'1) x P(F'2) x P(F'3) x P(F'4) =

0.99 x 0.97 x 0.98 x 0.97 = 0.932

Now, that all 4 programs failed will be = 1 - 0.932 = 0.068

Let E be denote that the CD fails the test. Thus P(E) = 0.068

Now, since testing and CD's defection are independent events, the probability that one CD was tested and failed will be =P(T∩E) = P(T) x P(E)= 0.25 x 0.068 = 0.017

8 0

3 years ago

Mikas diner sold 70 milkshakes last week. 9% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream

VARVARA [1.3K]

Step-by-step explanation:

I hope u got ur answer ;)

if u have any more doubt ask me

8 0

2 years ago

Read 2 more answers

A softball base is 15 x 15 inches long and wide. What is the length of the diagonal?

Finger [1]

Answer:

15 sqrt 2

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

15^2 + 15^2 = c^2

225 + 225 = 450

Find prime factors of the sq rt of 450

450 = 2 * 3 * 3 * 5 * 5

15 sqrt 2

4 0

1 year ago

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need we will need these two equations

Step one

Remember

area of a circle

$Area=\pi *\frac{diameter^{2} }{4}\\$

Also, the volume of the cylinder

Volume= area of the circle * height

$Volume=\pi *\frac{diameter^{2} }{4} *height\\$

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

$Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters$

I hope it helps,have a great day.

3 0

3 years ago

Two numbers have the same digits in the millions period, The same digits in the thousands period, and the same digits in the one

hjlf

Not unless the digits in each period are also in the same order. That is, the digit in each PLACE must be the same.

5 0

2 years ago