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2 years ago

Plz tell the correct meaning of simplification

Mathematics

2 answers:

Tasya [4]2 years ago

7 0

Answer:

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter)

MatroZZZ [7]2 years ago

4 0

Hey there!

Since the question is given under 'Mathematics', the word <u>simplification</u> will refer to the way we reduce (simplify) the terms in an algebraic expression or equations into simpler (smaller) forms for better understanding.

Hope it helps ya!

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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

$\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75$

(b)

Compute the variance of X as follows:

$\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083$

(c)

Compute the value of P(X < 3.7) as follows:

$P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898$

Thus, the value of P(X < 3.7) is 0.4898.

5 0

2 years ago

23. The letters of the alphabet are written on

Alla [95]

Answer:

21/676

Step-by-step explanation:

The total number of letters of the alphabet will be the total outcome which is 26 alphabets.

If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets

Total consonants in the alphabet is 21.

Probability of drawing consonants = 21/26.

Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.

Probability of drawing a letter Z will be 1/26.

Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;

21/26×1/26

= 21/676

5 0

3 years ago

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

garri49 [273]

$2.6, multiply 13 by .2 and you get 2.6

3 0

3 years ago

In the given figure find the value of x and y?<br>Show you works - Thank you!

Vaselesa [24]

<u>EXPLANATION</u><u>:</u>

In ∆ ABC , ∠ABC = 40°

∠CAB = x°
& ∠ACD = 50°

∠ACD is an exterior angle formed by extending BC to D

We know that

The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.

∠ACD = ∠CAB + ∠ABC

⇛50° = x° + 40°

⇛x° = 50°-40°

and

In ∆ ACD , AC = CD

⇛ ∠CDA = ∠CAD

Since the angles opposite to equal sides are equal.

Let ∠CDA = ∠CAD = A°

We know that

The sum of all angles in a triangle is 180°

In ∆ ACD,

∠CDA +∠CAD + ∠ACD = 180°

A°+A°+50° = 180°

⇛2A°+50° = 180°

⇛2A° = 180°-50°

⇛2A° = 130°

⇛A° = 130°/2

⇛A° = 65°

now,

∠CDA = ∠CAD = 65°

∠BAC + ∠CAD+y = 180°

Since angles in the same line

10°+65°+y = 180°

⇛75°+y =180°

⇛y = 180°-75°

<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.

4 0

3 years ago

7.8 is 65% of what number

Natalka [10]

7.8 = 0.65x

x = 100/65 * 78/10

x = 10/5 * 6

x = 12

3 0

3 years ago

Plz tell the correct meaning of simplification​

Plz tell the correct meaning of simplification