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3 years ago

Solve :1/1-x^a-b +1/1-x^b-a

Mathematics

1 answer:

Stolb23 [73]3 years ago

4 0

The answer to the above eqaution is 1

Step-by-step explanation:

Proceeding step by step

Step 1= 1/(1-xᵃ⁻ᵇ)+ 1/(1-xᵇ⁻ᵃ)

on rearranging the equation (b-a) as -(a-b) and substituting the value

Step 2= 1/(1-x ᵃ⁻ᵇ) + 1/(1-x -⁽ᵃ⁻ᵇ⁾ )

Using the indices corrolary that 1/1- x ⁻ᵃ= -xᵃ/ (1- x ᵃ) and subsituting the value of the expression in the step mentioned below

Step 3=1/(1+x ᵃ⁻ᵇ) - (x ᵃ⁻ᵇ)/(1-x ᵃ⁻ᵇ)

Since the denominators are the same the two fractions can be added with common denominator being 1+x ᵃ⁻ᵇ

On adding the above mentioned step 3 we get

Step 4=(1- x ᵃ⁻ᵇ) / (1- x ᵃ⁻ᵇ)

Thus the value of equation =1

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

3 years ago

What is 508/1000 as a decimal?

lions [1.4K]

Answer:

Your answer would be .508!!!

Step-by-step explanation:

6 0

3 years ago

I need help on the last part!

stellarik [79]

Answer:

0; (0, 0); 144; (3, 144)

Step-by-step explanation:

Y = distance (m)

X = time (hr)

X = 48x

If a car travels for 0 hours, it will travel __ mile(s).

y = 48x

Plug in 0 hours for x (time in hours)

y = 48(0)

Any number mutliplied by 0 equals 0

y = 0

If a car travels for 0 hours, it will travel 0 miles. This means it will pass through the point (0, 0).

(0, 0) limits our options to graphs B and D

Car travels 144 miles in 3 hours

To find how many miles it travels in 1 hour, divide 144 miles by 3 hours

144 ÷ 3 = 48

In 1 hour, a car travels 48 miles

If 48 × 3 = 144, then 48 × 4 = ?

48 × 4 = 192

When looking at graph D, there are 4 lines above 0

Counting by 48, it perfectly fits 192 by the fourth line

From (0, 0), if we move 3 units to the right we can find the third vertical line intersecting

Since the lines are counted by 48 and we are looking at the third line: 48 × 3 = 144

Use the slope to move 3 units to the right of the origin and 144 unit(s) up to the find the point (3, 144) that can be used to graph the relationship

7 0

3 years ago

Read 2 more answers

Can someone help me with the answer please

OLga [1]

Answer:

D - x^2 + 9x +14

Step-by-step explanation:

I typed it into a problem solving website

3 0

3 years ago

Reduce a)95/75 b) 250/750 to its simplest form

umka21 [38]

Answer:

a) 19/15 b) 1/3

Step-by-step explanation:

in both the question I reduced the numbers with 5

8 0

3 years ago

Solve :1/1-x^a-b +1/1-x^b-a​

Solve :1/1-x^a-b +1/1-x^b-a