Solve this equation 3x-1/5-2/9x=124/5 , simply by combining like terms, Which terms can be combined? Isolate the variable term by adding this value to both sides of the equation?

Answer + Step-by-step explanation:

p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)

Because ,when X = 2 or X = 1  the largest number is not 3 so we have to subtract those values .

……………………………………………………………

the probability that X is equal to 1 or 2 or 3 is :

\((\frac{3}{6} )^4 = \frac{81}{1296}\)

Then

\(p\left( X=3\right) =\frac{81}{1296} -(\frac{1}{1296} +\frac{15}{1296}) =\frac{65}{1296}\\\\p\left( X=4\right) =\frac{4^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}) =\frac{175}{1296}\\\\p\left( X=5\right) =\frac{5^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}+\frac{175}{1296}) =\frac{369}{1296}\)

Verification:

1+15+65+175+369+671 = 1 296

The total cost of polishing it's outer surface 20 paisa per square cm exists Rs. 738.58.

External radius of the hollow cylinder = 10.5 cm

Internal radius of the hollow cylinder = 10.1 cm

Height of the hollow cylinder = 56 cm

Cost to Polish Outer Surface: 20 paisa/sq. cm.

Surface Area of Hollow Cylinder = Circumference \(*\) height

Surface area of hollow cylinder = 2 π r h

= 2 π (10.5 cm) 56 cm

= π (21)(56)

= 3692.64 \(cm^2\) (Using π ≈ 3.14 rounding to 2 digits)

Total Cost of metallic cylinder \($= 3692.64 cm^2 * 20 paisa/cm^2\)

= 73,852.8 paisa

= Rs. 738.58

Therefore, the total cost of polishing it's outer surface 20 paisa per square cm exists Rs. 738.58.

To learn more about surface area of cylinder refer to:

https://brainly.com/question/76387

#SPJ9

When rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

When a regular hexagon is rotated about its center, it has 6 rotational symmetries, one for each angle of 60 degrees.

In addition to rotational symmetry, a regular hexagon also has 6 lines of reflectional symmetry. Each line of symmetry passes through the center of the hexagon and two opposite vertices, dividing the hexagon into two congruent halves.

Hence, when rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

To learn more on Polygons click:

https://brainly.com/question/24464711

#SPJ1

Answer:

1/4

Step-by-step explanation:

in simplist form the answer is 1/4

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch. Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch.

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ11

Answer:

732

Step-by-step explanation:

It is 732 because if we start off with 30.5 and then get our 240%, what will happen next is that we will move the decimal spot 2 places on the 240%. So 240% now becomes .240 and NOT a percent yet because we need to do one more thing. After we do this we can then do 30.5x.240 which leads to 7.32. But because this number is too small and it even wouldnt make sense in this question, now we move the decimal spot to the right, so before we did left but now we go right. And when we do this it will finally give out answer of 732 pounds.

Answer: I think you have to start at 10 and go up i may be wrong but i think you get your answer that ay if I'm right

Step-by-step explanation:

Answer:

You go up ten spaces and then you get the placements of the letters

Step-by-step explanation:

Answer: 57.5

Step-by-step explanation:

To solve this problem, you need to multiply the number of cups of flour per cup of milk times 5.

Step 1: Find how many cups of flour per cup of milk.

23/2 = 11.5 cups of flour per cup of milk

Step 2: Multiply the cups of flour per cup of milk, times the 5 cups of milk.

11.5 * 5 = 57.5 total cups of flour

Answer:

13

Step-by-step explanation:

3n+1

Let n= 4

3(4)+1

12+1

13

Answer:

\({ \tt{f(n) = 3n + 1}} \)

» When n is 4, f(n) is f(4);

\({ \tt{f(4) = 3(4) + 1}} \\ { \tt{f(4) = 12 + 1}} \\ { \underline{ \tt{ \: f(4) = 13 \: }}}\)

The number of hours that Julius can spend online this week is 1 1/3 hours.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Since Julius is allowed to surf the internet for only 3 hours a week. He has already been online for 1 2/3 hours this week.

This will be Illustrated as x.

x + 1 2/3 ≤ 3.

x ≤ 3 - 1 2/3

x ≤ 1 1/3.

Learn more about inequalities on:

brainly.com/question/24372553

#SPJ1

Answer:

answer is a or d im pretty sure

Step-by-step explanation:

Answer:

We can simplify each term in the polynomials and then perform the subtraction:

(3^5 + 8^3) − (7^2 − 6^3)

= 243 + 512 − 49 + 216

= 752 - 33

= 719

So, (3^5 + 8^3) − (7^2 − 6^3) = 719

Hello! :3

Correct Answer: 716

The answer below is incorrect! solved with 3^3 instead of 3^5! OOPS!!!

Hope this helps! :)

Answer:

uttar pradesh

Step-by-step explanation:

see map

Answer:

S.No. State/ UT Wheat (Th. tonnes)

1 Uttar Pradesh    26,874

2 Madhya Pradesh    17,689

3 Punjab                 16,081

4 Haryana                 11,352

5 Rajasthan         9,871

6 Bihar                 4,753

7 Gujarat                 2,484

8 West Bengal         960

9 Uttarakhand         761

10 Maharashtra         758

Step-by-step explanation:

Refer this link for map!

HOPE IT HELPS AND THANK ME BY MARKING AS BRAINLIEST!

The value of x is less than or equal to 2 and 1 half. The correct option is B.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that inequality is 3¹/₂≥1.4x. The inequality will be solved as below,

3¹/₂ ≥ 1.4x

(14)/(10)x ≤ (5/2)

(5/10)x ≤  5/2

x ≤ (5/10) ÷ ( 5/2 )

x ≤ 2.5

x ≤ 2¹/₂

Therefore, the value of x is less than or equal to 2 and 1 half. The correct option is B.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

Answer: x <= 2 1/2

Step-by-step explanation: Got correct on test

The expected number of heads in 8,176 tosses of a weighted coin that results in heads 2/3 of the time is approximately 5,451.

To calculate the expected number of heads, you can use the formula for the expected value of a discrete random variable. In this case, the random variable is the number of heads obtained in 8,176 tosses, and the probability of getting a head on each toss is 2/3. The formula for the expected value is:

Expected Value = Number of Tosses × Probability of Heads

Follow these steps to find the expected number of heads:

1. Determine the number of tosses: 8,176
2. Determine the probability of getting a head: 2/3
3. Multiply the number of tosses by the probability of getting a head:

Expected Value = 8,176 × (2/3)

4. Calculate the result:

Expected Value ≈ 5,450.6667

5. Round the result to the nearest integer:

Expected number of heads ≈ 5,451

So, the expected number of heads in 8,176 tosses is approximately 5,451.

Know more about discrete random variable click here:

https://brainly.com/question/17238189

#SPJ11

Answer: \(y+4=\frac{7}{3}(x+8)\)

Step-by-step explanation:

See attached image.

Answer:

45/4 inches closer 11

Step-by-step explanation:

16/9 = 20/x

9/4= x/5

45/4 inches = x

11< x< 12

Answer:

send the complete question . there are some missing signs .

The ordered pair (2,3) is not a solution of the system

From the question, we have the following parameters that can be used in our computation:

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

Read more about inequality at

https://brainly.com/question/32124899

#SPJ4

Answer:

3 3/5

Step-by-step explanation:

You can change 4/1 into 20/5 (equivalent fraction), then you can do 20-2 to get 18. So 18/5 can also be 3 3/5

Answer:

3 and 3/5

Step-by-step explanation:

hope i helped you!!

The answer to the poition will be t²/2 which is the displacement of the car.

What is displacement?

When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.

The given acceleration is given in the function of velocity, v(t) = t

Let, be the function of velocity v(t) and position is x(t).

So the poition will be ∫v(t) dt = ∫t dt

=t²/2

Hence, the position of the given function will be t²/2

Learn more about Displacement, by the following link

brainly.com/question/321442

#SPJ4

An

Step-by-step explanation

Hope it helps boy .

The given number can be written in standard form as,

32cos⁵ \(\frac{2\pi }{15}\) - 320 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 160cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + i [160 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 320 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + 32sin⁵ \(\frac{2\pi }{15}\)]

Given is a number which is imaginary or is a complex number.

We know that,

Standard form of a complex number is a + bi.

We have to rewrite the given number in standard form.

Given number is,

[2 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))]⁵

We have to make it in the standard form.

[2 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))]⁵ = (2)⁵ (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))⁵

                                 = 32 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))⁵

We know that,

(a + b)⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

(cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))⁵ = cos⁵ \(\frac{2\pi }{15}\) + 5 cos⁴ \(\frac{2\pi }{15}\) i sin \(\frac{2\pi }{15}\) + 10 cos³ \(\frac{2\pi }{15}\) i² sin² \(\frac{2\pi }{15}\) + 10 cos² \(\frac{2\pi }{15}\) i³ sin³ \(\frac{2\pi }{15}\) + 5 cos \(\frac{2\pi }{15}\) i⁴ sin⁴ \(\frac{2\pi }{15}\) + i⁵ sin⁵ \(\frac{2\pi }{15}\)

= cos⁵ \(\frac{2\pi }{15}\) + (5 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\)) i - 10 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) - (10 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\)) i + 5 cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\) + (sin⁵ \(\frac{2\pi }{15}\)) i

= [cos⁵ \(\frac{2\pi }{15}\) - 10 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 5 cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + i [5 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 10 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + sin⁵ \(\frac{2\pi }{15}\)]

So,

[2 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))]⁵ = 32 [cos⁵ \(\frac{2\pi }{15}\) - 10 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 5 cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + 32i [5 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 10 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + sin⁵ \(\frac{2\pi }{15}\)]

= 32cos⁵ \(\frac{2\pi }{15}\) - 320 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 160cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + i [160 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 320 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + 32sin⁵ \(\frac{2\pi }{15}\)]

Learn more about Complex Numbers here :

https://brainly.com/question/20566728

#SPJ1

Answer:

3.6.

Step-by-step explanation:

15% = 15/100 = 0.15

so the answer is 0.15 * 24

= 3.6

Answer:

3.60

Step-by-step explanation:

Note:

Of = Multiply

15% can also be written as .15 as decimal

Solve:

.15 × 24 = 3.60

 Or we can solve like this:

\(\frac{24}{x}=\frac{100\%}{15\%}\)

\(\frac{x}{24}=\frac{15}{100}\)

\(\Rightarrow x=3.6\)

Therefore, 15% of  £24 is 3.60

~Lenvy~

A)

The equation for the number of fish after t years is

P(t) = 9400 (1 - 0.9574 x e^{-0.0899t})

B)

It will take approximately 7.31 years for the fish population to increase to 3000.

We have,

A)

The equation for logistic growth is:

dP/dt = rP(1 - P/K)

where P is the population size, t is the time in years, r is the intrinsic growth rate, and K is the carrying capacity.

We know that at t = 0, P = 400, and at t = 1, P = 570.

We can use this information to find the value of r:

570 - 400 = r(1 - 400/9400)

r ≈ 0.0899

Now we can use the logistic growth equation to find P(t):

dP/dt = 0.0899P(1 - P/9400)

∫dP/(P(1 - P/9400)) = ∫0.0899dt

-ln|1 - P/9400| = 0.0899t + C

|1 - P/9400| = e^(-0.0899t - C)

1 - P/9400 = ±e^(-0.0899t - C)

P = 9400(1 - Ce^(-0.0899t))

We can use the initial condition P(0) = 400 to find the value of C:

400 = 9400(1 - Ce^0)

C ≈ 0.9574

The equation for the number of fish after t years.

P(t) = 9400 (1 - 0.9574 e^{-0.0899t})

B)

To find how long it will take for the population to increase to 3000, we need to solve the equation P(t) = 3000 for t.

3000 = 9400(1 - 0.9574e^(-0.0899t))

Dividing both sides by 9400 and rearranging.

e^(-0.0899t) = 1 - 3000/9400

e^(-0.0899t) ≈ 0.6808

Taking the natural logarithm of both sides.

-0.0899t ≈ ln(0.6808)

t ≈ 7.31 years

It will take approximately 7.31 years for the fish population to increase to 3000.

Thus,

The equation for the number of fish after t years is

P(t) = 9400 (1 - 0.9574 e^{-0.0899t})

It will take approximately 7.31 years for the fish population to increase to 3000.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Answer:

18.682

Step-by-step explanation:

Given that :

E = (-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

Answer:

d

Step-by-step explanation:answer is d on edg