Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and a height of 20 feet. Container B has a radius of 19 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.


To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

pleaseee help meee

Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Jawaban:

Penjelasan dengan langkah-langkah:

Sumbu y = Frekuensi = berapa banyak pekerjaan

Sumbu x = Jenis Pekerjaan = pekerjaan nomor n

(maka)

Ada

2 buah pekerjaan nomor 1 = 11

4 buah pekerjaan nomor 2 = 2222

6 buah pekerjaan nomor 3 = 333333

3 buah pekerjaan nomor 4 = 444

1 buah pekerjaan nomor 5 = 5

maka hasilnya

_____________

#Jenius - kexcvi

Nyasar soalnya brainly di indo lagi mode ujian haha

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

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Answer:

good luck !!!!!!!

hope this help for you !!!!!

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2

Answer:

m=0

Step-by-step explanation:

Answer:

Let's define:

G = cost of a goat

S = cost of a sheep.

We know that the total cost for a goat and a sheep is £120, then:

S + G = £120

And the cost of the goat is twice the price of the sheep, then:

G = 2*S

To solve this system, we can just replace the second equation into the first one, then we get:

S + (2*S) =  £120

3*S =  £120

S =  £120/3 =  £40

This means that each sheep costs  £40

And the cost of a goat is:

G = 2* £40 =  £80.

Now we know that he sold both of them, where:

s = price of the sheep

g = price of the goat.

We know that he sold both of them for £180, then:

s + g = £180

And the profit of the sheep is twice the profit of the goat, then:

(s - S) = 2*(g - G)

(s -  £40) = 2*(g -  £80)

s  -  £40 = 2*g -  £160

Then we have a system of equations:

s + g = £180

s  -  £40 = 2*g -  £160

To solve this, we first could isolate g in the first equation:

g = £180 - s

Replacing this in the other equation we get:

s - £40 = 2*( £180 - s) -  £160

s - £40 = £360 - 2*s - £160

s - £40 = £200 - 2*s

s + 2*s = £200 - £40 = £160

3*s = £160

s = £160/3 = £53.33

Then the percentage profit for the sheep is:

percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%

Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

Answer: pi/2

Step-by-step explanation:

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

Answer: what question?

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

Answer: Option A

Step-by-step explanation:

To get from A to A', what is done?

A is at the point (2,6) and A' is at the point (2,-1)

The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)

Now let us take a look at options A and B which both concern the y value

The y-value of A is 6 and A' is -1

To get from 6 to -1, do you

a) subtract 7

or b) = multiply by -1

Let us test it out:

a) 6 - 7 = -1 (yes, it equals -1)

b) 6 * -1 = -6 (no, it does not equal the intended value of -1)

Thus correct choice is A, we subtract 7

9514 1404 393

Answer:

Step-by-step explanation:

A triangular prism will have exactly 2 triangular sides (bases).

A triangular pyramid will have at least 3 triangular faces.

Count the triangles and classify accordingly.

Left to right, the number of triangles is ...

  4, 2, 2, 4, 2

The figures with 4 triangles are pyramids; the others are triangular prisms.

Therefore, the mistake Kiara made was to take the absolute value of the slope instead of correctly identifying the slope as a negative value.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc. Equations can have different types of solutions, including real solutions, complex solutions, and no solutions. Equations can be used to model a wide range of mathematical and scientific problems, and they are an essential tool for problem-solving in many fields.

Here,

The equation 28x - y = -20 is in the form of the standard linear equation Ax + By = C, where A, B, and C are constants, and x and y are variables.

To find the slope of a line from an equation in this form, we need to rearrange the equation into slope-intercept form, which has the form y =mx + b, where m is the slope of the line, and b is the y-intercept.

To do this, we need to isolate y on one side of the equation:

28x - y = -20

-y = -28x - 20

y = 28x + 20

Now we can see that the equation is in slope-intercept form, with a slope of 28, not -28 as Kiara thought.

Kiara made a mistake in identifying the slope of the line.

To know more about equation,

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Answer:

I think it's y= +10

not sure tho :))

Answer:

2/7

Step-by-step explanation:

There are 7 days in a week, and 2 days start with the letter T.

Answer:

its 145

Step-by-step explanation:

Answer:

D: –10

Step-by-step explanation:

edge2020

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

Answer:

The answer to this problem is 4q+30

Answer:

12

Step-by-step explanation:

0 + 12 = 12

Answer:

12

Step-by-step explanation:

the 2 numbers 12 units away from 0 are 12 and -12

since it's to the right of 0, it's positive

37000 + 37000\(0.09)

is the answer.

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

Learn more:

brainly.com/question/12149603

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies