A basket contains 6 oranges and 4 tangerines. a sample of 3 is drawn. find the probability that they are all oranges

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

The number of cartons of apples sold at a store each day for eight days is shown. 30 , 40 , 51 , 30 , 34 , 20, 30, 45 Determine

nikitadnepr [17]

Answer:

Mean = 35

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

(30 + 34) /2 = 32

Mode = 30 ( most frequent)

Range = (51 - 20) = 31

Mean = 72

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

4th + 5term = (72 + 77) /2 = 74.5

Mode = 72 ( most frequent)

Range = (90 - 48) = 42

Step-by-step explanation:

Given :

1.)

Data: 30 , 40 , 51 , 30 , 34 , 20, 30, 45

Rearranged data : 20, 30, 30, 30, 34, 40, 45, 51

Mean = ΣX / n = 280 / 8

Mean = 35

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

(30 + 34) /2 = 32

Mode = 30 ( most frequent)

Range = (51 - 20) = 31

2.)

90 , 72 , 48 , 84 , 77 , 72, 50, 83

Rearranged data : 48, 50, 72, 72, 77, 83, 84, 90

Mean (m) = ΣX / n = 576 / 8

Mean = 72

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

4th + 5term = (72 + 77) /2 = 74.5

Mode = 72 ( most frequent)

Range = (90 - 48) = 42

6 0

2 years ago

There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average

lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

5 0

3 years ago

Solve the following eqation: 4m - 12 = 0

OLEGan [10]

Answer:

m=3

Step-by-step explanation:

Move the 12 over to the other side so it will be 4m=12, then divide each side by 4 to get m=3

8 0

2 years ago

Read 2 more answers

What is 10x and a negative 15 over 10 plus one half

eimsori [14]

Answer:

-29/2

Step-by-step explanation:

3 0

3 years ago