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3 years ago

Steps 2,4 and 6 are all justified for the same reason, what is the reason ?

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Because both of them are congruent triangles.

The have sides that equal to each other, angles that equal to each other and a common base.

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12.4. Measure of Dispersion 2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.

Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 5

Given data 4, 6,8,10,12

$Mean = \frac{4+6+8+10+12}{5} = 8$

Mean of the sample x⁻ = 8

Standard deviation of the sample

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

Step(ii):-

Given data

x : 4 6 8 10 12

x-x⁻ : 4 - 8 6-8 8-8 10-8 12-8

(x-x⁻) : -4 -2 0 2 4

(x-x⁻)² : 16 4 0 4 16

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

$S.D = \sqrt{\frac{16+4+0+4+16}{4}}$

S.D = √10 = 3.16227

Final answer:-

The standard deviation = 3.16227

8 0

2 years ago

Using the quadratic formula, what is the value of x for x^2-4+5=0

PSYCHO15rus [73]

value of x is: x= i and x= -i

Step-by-step explanation:

We need to find the value of x from $x^2-4+5=0$ using quadratic formula.

The term is: $x^2+1=0$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

Where a = 1, b=0,c=1

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{0\pm\sqrt{(0)^2-4(1)(1)}}{2(1)}\\x=\frac{\pm\sqrt{-4}}{2}\\x=\frac{\pm2i}{2}\\x=\pm i$

So, value of x is: x= i and x= -i

Keywords: Quadratic formula

Learn more about quadratic formula at:

#learnwithBrainly

4 0

3 years ago

How do I solve -2(x+1)=-8x+1

mylen [45]

-2 (x+1)= -8x+1
-2x-2= -8x+1
+2x. +2x
-2= -6x+1
-1. -1
-3= -6x
÷-6
x=.5

X=0.5

4 0

2 years ago

What is the standard form of the polynomial 4x+6y^3x-xy+xy^2

meriva

The required standard form is $6y^3x+xy^2-xy+4x$

<h3>Polynomial function</h3>

Given the polynomial function expressed as:

$4x+6y^3x-xy+xy^2$

We are to express this polynomial in standard form

To do that, we will write the degrees of the variables in descending order of magnitude as shown:

$4x+6y^3x-xy+xy^2\\6y^3x+xy^2-xy+4x$

Hence the required standard form is $6y^3x+xy^2-xy+4x$

Learn more on polynomial functions here: brainly.com/question/7693326

7 0

2 years ago

What is 4/5 * 6 HELP ME PLEASE

Vesnalui [34]

Answer:

4 4/5 miles

Step-by-step explanation:

We want to multiply 4/5 * 6

4/5 * 6/1

24/5

We need to change this back to a mixed number

5 goes into 24 4 times (4*5 = 20 with 4 left over)

4 4/5 miles

8 0

2 years ago

Read 2 more answers