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Solnce55 [7]
3 years ago
15

Find the ordered triple of these equations. X + y + z = 12 y = 1 X - Y - Z = 0

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Step-by-step explanation:

Given the equations

x + y + z = 12

y=1

x - y - z = 0

As

y=1

We can get the value of x by adding the first and third equation

so

x + y + z = 12

x-y-z=0

so the equations become

x+x+y-y+z-z=12+0

2x = 12

x = 6

Putting x = 6 and y=1 in the first equation x+y+z=12

6 + 1+ z = 12

7 + z = 12\\z = 12 -7

z  = 5

Therefore, the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

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The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability
Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0
4 years ago
The LCM of two numbers is 48. The number one in the ratio 2:3. Then Sum of the numbers is:
Oksi-84 [34.3K]

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct

6 0
3 years ago
Simplify 3 x + 6 x 2 - 5 x - x 2 .
Anastasy [175]
Pretty sure it’s 5x^2 - 2x
5 0
3 years ago
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