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3 years ago

10

Solve 5 over x plus 8 equals 3 over x for x and determine if the solution is extraneous or not.

1 answer:

Maurinko [17]3 years ago

8 0

$\frac{5}{x+8}=\frac{3}{x}\ \ \ Domain\ D:x+8\neq0\to x\neq-8\ and\ x\neq0\\\\cross\ multiply\\\\5(x)=3(x+8)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x=3(x)+3(8)\\\\5x=3x+24\ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\2x=24\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\huge\boxed{x=12\in D}$

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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

32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?

allochka39001 [22]

Answer:

57.4g

Step-by-step explanation:

32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?

From the above questions, we know that:

4 cakes = 32.8g

7 cakes = x g

Cross Multiply

4 × xg = 7 × 32.8g

x = 7 × 32.8g/4

x = 57.4 g

Therefore, 57.4g is needed for 7 cakes

6 0

3 years ago

Musa invest R1000 on a simple interest at a rate of 8% per annum for 3 years.How much money will be in his account by the end of

Serjik [45]

Answer:

Step-by-step explanation:

1000*(1+8:100)^3=1000*1 ,08^3=1000*1,259712=1259,712

8 0

3 years ago

Help picture attached

Vilka [71]

I would say c or d. but since its multiple choice, its ok to guess sometimes.

6 0

3 years ago

Wayne plays multiple instruments in a rock band. He also composes the songs. He takes 36 weeks to write the songs for an album o

sammy [17]

He took 36 weeks to compose 12 songs.

Unit rate : Divide total weeks by total songs:

Unit Rate = 36 / 12 = 3 weeks per song.

5 0

4 years ago

Read 2 more answers