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nalin [4]
3 years ago
8

Find the distance between xequals[Start 2 By 1 Matrix 1st Row 1st Column 8 2nd Row 1st Column negative 5 EndMatrix ]and yequals[

Start 2 By 1 Matrix 1st Row 1st Column negative 1 2nd Row 1st Column negative 9 EndMatrix ].
Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

Distance =√(x₁ - y₁)²+ (x₂ - y₂)² = √97 = 9.85

Step-by-step explanation:

The Matrix X and Y could also be referred to as vectors in Rⁿ dimensions.

if Vector X = ( x₁ , x₂)   and  Vector  Y = (y₁ , y₂)

then, Distance (X-Y) = ||X-Y|| = √(x₁ - y₁)²+ (x₂ - y₂)²

where, x₁ = 8, x₂ = -5   and  y₁ = -1 , y₂ = -9

Distance = √(8 - (-1))²+ (-5 - (-9))² = √9² + 4² =√97 = 9.85

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PLEASE HELP SUPER FAST WORTH ALOT OF POINTS
lutik1710 [3]

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

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

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

P=89.44-10.57=78.87\%

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

P=99.865-.0135=99.73\%

99.7% of people.

3 0
3 years ago
A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
irga5000 [103]

Answer:

Step-by-step explanation:

pythagorean theorem. a^2+b^2=c^2

1.5^2+b^2=6^2

2.25+b^2=12

12-2.25=b^2

b^2=9.75

take the square root

b=3.12

7 0
3 years ago
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For f(x) = 6x + 20, what is the value of x for which f(x)= -4 ?
Ymorist [56]

Answer:

x = -4

Step-by-step explanation:

Plug in -4 into the function and solve for x:

f(x) = 6x + 20

-4 = 6x + 20

-24 = 6x

-4 = x

So, the answer is x = -4

3 0
3 years ago
Can someone help me with b
larisa86 [58]

Answer:

A) is actually 10 1/3 B) is  5 14/15

Step-by-step explanation:

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8 0
3 years ago
A park is in the shape of a rectangle 2 miles long and 1.5 miles wide. How much shorter if you walk diaganolly across the park r
Nimfa-mama [501]
You can answer this by using Pythagoras theorem. Okay, let me draw this first.

            2 miles
               V
________________________
|                                        |
|                                        |
|                                        |   << 1.5 miles
|_______________________|  

^ Assume this is the rectangle. The long side is 2 miles while the shorter side is 1.5 miles.

So, to get the shortest distance, let's cut out a triangle from the rectangle. 

                                                         /|
                                                       /  |
                                                     /    |
What we want to find is this one >  /      |  << 2 miles
                                                  /        |
                                                /______|
                                                   ^ 1.5 miles (I know the size is not logical,but imagine                                                                       it please)

So to get the diagonal length = \sqrt{{a^{2} }+ b^{2}}
                                          =  \sqrt{{2^{2} }+ 1.5^{2}}
                                          =  2.5 miles

To calculate how much shorter = ( 2 miles + 1.5 miles) - 2.5 miles
                                             = 3.5 miles - 2.5 miles
                                             = 1.0 miles

Hope this help !
8 0
3 years ago
Read 2 more answers
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