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MAXImum [283]
3 years ago
14

System of Linear Equations

Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

X=6

Y= - 1

Step-by-step explanation:

X-y =7

X+y =5 cross - y and y

_______

X+x =7 +5

2x= 12

X= 12/2

X= 6

Replace X in first equation:

X - y =7

6 - y =7

6 - 7 =y

y = - 1

Hope this helps you.. Good Luck!

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A particular group of men have heights with a mean of 174 cm and a standard deviation of 6 cm. Earl had a height of 192 cm. a. W
Sati [7]

Answer:

a) 18 cm

b) 18

c) 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

Step-by-step explanation:

Given:

Mean height, μ = 174 cm

Standard deviation = 6 cm

height of Earl, x = 192 cm

a) The positive difference between Earl height and the mean = x - μ

= 192 - 174 = 18 cm

b) standard deviations is 18

c) Now,

the z score is calculated as:

z=\frac{x-\mu}{\sigma}

or

z=\frac{192-174}{6}

or

z = 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

5 0
2 years ago
A, B, C and D are four towns.
djverab [1.8K]

Three of the four towns are on the vertices of the triangle ΔCBD, through

which the bearing can calculated.

<h3>Response:</h3>
  • The bearing of D from B is approximately <u>209.05°</u>

<h3>Method by which the bearing is found;</h3>

From the given information, we have;

AC = AB = 25 km

∠BAC = 90° (definition of angle between north and east)

ΔABC = An isosceles right triangle (definition)

∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)

tan(\angle ABD) = \dfrac{45}{25}

  • \angle ABD = arctan \left(\dfrac{45}{25} \right)  \approx 60.945^{\circ}

The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the

direction of <em>D.</em>

<em />

Therefore;

  • The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>

Learn more about bearings in mathematics here:

brainly.com/question/10710413

5 0
2 years ago
Plz help 20 pts given for the question answered
xxMikexx [17]

Answer:

what question?

Step-by-step explanation:

7 0
2 years ago
Which expression represents 10 in rational exponent form?
SSSSS [86.1K]
The correct answer is C
5 0
3 years ago
What is 4 ÷ 3/5 ?<br> 6<br> 6 and two-fifths<br> 6 and two thirds<br> 8
elena55 [62]
The correct answer is C-6 and two thirds
6 0
3 years ago
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