Is √8 a rational or irrational number

Answer:

63.25

Step-by-step:

39.25 + 24 = 63.25 ft squared

Answer:

Step-by-step explanation:Does anyone know what this would be?

Standard deviation - The value of x is 1.96.

What is standard normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As given, for a standard normal distribution, 95% of the data points are contained in the interval [ -x , x ].

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. By transforming its values into z-scores, any normal distribution can be standardised. Z-scores indicate how far away from the mean each number is from.

Hence, from the standard normal table, the value of x = 1.96 for 95% confidence level.

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the total amount of money to be shared among the grandchildren is:
4x + 7x + 9x = 20x

ToTo calculate the amount of money to be shared among Mr. Chen's three grandchildren, we first need to determine the total ratio of the sharing parts. The total ratio is found by adding the individual ratios together: 4 + 7 + 9 = 20.

Next, we divide the total amount of money left by Mr. Chen among the grandchildren by the total ratio to find the value of one sharing part. Let's denote this value as "x".

So, x = Total amount of money / Total ratio.

Now, we can calculate the amount of money for each sharing part by multiplying the value of one sharing part (x) by the respective ratio for each grandchild.

Amount for the first grandchild: 4x
Amount for the second grandchild: 7x
Amount for the third grandchild: 9x

Therefore, the total amount of money to be shared among the grandchildren is:
4x + 7x + 9x = 20x

Note that the specific value of "x" would depend on the actual amount of money left by Mr. Chen.

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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a. The integral using substitution as the product of two functions can be written as ∫sin(4x²) dx = ∫sin(u) * (1/8x) du

b.  The antiderivative is sin(4x²) dx is (-1/8) * cos(4x) + C.

Part A:

Let's make the substitution u = 4x². Then du/dx = 8x, which means that dx = du/8x. We can use these substitutions to rewrite the integral:

∫sin(4x²) dx = ∫sin(u) * (1/8x) du

Part B:

Now we can use integration by substitution to find the antiderivative:

∫sin(u) * (1/8x) du = (1/8) * ∫sin(u)/x du

Let's use another substitution v = u/x. Then du/dv = x and du = x dv. We can use these substitutions to rewrite the integral:

(1/8) * ∫sin(u)/x du = (1/8) * ∫sin(v) dv

The antiderivative of sin(v) is -cos(v), so we have:

(1/8) * ∫sin(u)/x du = (-1/8) * cos(v) + C

Now we need to substitute back to get the final antiderivative in terms of x:

(-1/8) * cos(v) + C = (-1/8) * cos(u/x) + C = (-1/8) * cos(4x²/x) + C = (-1/8) * cos(4x) + C

Therefore, the antiderivative of sin(4x²) dx is (-1/8) * cos(4x) + C.

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Answer:

los angeles i think

Step-by-step explanation:

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The slope between the points, (2, -4) and (-1, -12), is calculated as:

m = 8/3.

To find the slope between two points that lie on a line, we would apply the slope formula below:

Slope of a line (m) = change in y / change in x = (y2 - y1) / (x2 - x1) = rise / run.

Given the following points:

(2, -4) = (x1, y1)

(-1, -12) = (x2, y2)

Plug in the values:

Slope of the line (m) = change in y / change in x = (-12 -(-4)) / (-1 - 2)

m = -12 + 4 / -3

m = -8/-3

Slope between the two points (m) = 8/3

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Answer:

2 spoons and 5 forks

Step-by-step explanation:

2*$5= $10 (two spoons for $5 each)

5*$3= $15 (five forks for $3 each)

Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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Answer:

(-10,-6)

Step-by-step explanation:

When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.

Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:

(-10,-6)

Given,

The statement is "The height of a person and his weight".

Required/

Identify the statement is inverse or direct variation.

As the height of the person increase then its their weight is also increased.

Similarly,

The height of the person decrease then its their weight is also decreased.

Hence, it is direct variation.

The limit of the given function is  π/2.

What is a limit?

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

Here, we have

Given: \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

We have to find the limit of the given function.

=  \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

Now, we substitute the value of each variable.

x = π and y = π/2

= y sin(x-y)

= π/2sin(π-π/2)

= π/2sinπ/2

= π/2sin(90°)   (∴sin90° = 1)

= π/2×1

= π/2

Hence, the limit of the given function is  π/2.

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Answer:

You save approximately $25 (or 1/5)

Step-by-step explanation:

20% off means you save 1/5 of the original cost. So you divide the original number by 5 to find out how much you save.

Answer:

70

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

12/3 + 5 × 4^2 - 2(12 - 5)

4 + (5 × 4^2) - 2(7)

4 + (5 × (4 × 4)) - 14

4 + (5 × 16) - 14

4 + 80 - 14

84 - 14

70

Answer:

lol

Step-by-step explanation:

just search it up but if you to lazy to like me then ill do it for you

Answer:

x=1

Step-by-step explanation:

Answer:

\(\frac{4k}{3}+5=18\)

Step-by-step explanation:

→ Start of with k being divided by 3

\(\frac{k}{3}\)

→ Multiplied by 4

\(\frac{k}{3}*4=\frac{4k}{3}\)

→ Added to 5

\(\frac{4k}{3}+5\)

→ The answer is 18

\(\frac{4k}{3}+5=18\)

7. y = 5x

8. k/3 × 4 + 5 = 18

9. y = 2x + 120

--------------

if the price of house is y

so y=5x

k/\(3x\(4+\(5=18

y for table

according to the problem

y=2x+120

Answer:

That would be B.) 0.45 > 0.39

Step-by-step explanation:

You must look at the tenths! I hope I helped ^-^

.39         .45

Step-by-step explanation:

(n-2xb)(4n-xb)

= 4n^2 - 8xbn - xbn + 2(xb)^2

= 4n^2 - 9xbn + 2(xb)^2

After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

The equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

What is the slope-intercept form?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Here, we have

The lines of the equations

Ax + By = C1

and Bx - Ay = C2 are perpendicular. Therefore, a line perpendicular to 5x - 2y = -6 must take the standard form  2x + 5y = C.

Substituting x = 5, y = -4, we get  

C = 2(5) + 5(-4) = 10 - 20 = -10.

Thus, 2x + 5y = -10 is the correct choice.

This can be rewritten in slope-intercept form:

2x + 5y = -10

2x + 5y - 2x = -10 - 2x

5y = -2x - 10

5y / 5 = (-2x - 10) /5

y = -(2/5) x - 2

Its point-slope form is

y - y1 = m(x - x1)

y + 4 = -(2/5)(x - 5)

Hence, the equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

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Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

Answer:

Do 100 divided by how many people there are in total

Step-by-step explanation:

#PlatoGang

The volume of the solid is 64/3 cubic units.

To compute the volume of the solid, we integrate the area of the cross sections over the interval [0, 2] along the x-axis. The area of each cross section is given by the product of the height f(x) = 8x² and the width dx. Hence, we have:

V = ∫[0,2] f(x) dx

= ∫[0,2] 8x² dx

= [8(x³/3)] [0,2]

= 8(2³/3 - 0³/3)

= 8(8/3)

= 64/3

Therefore, the volume of the solid is 64/3 cubic units.

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Answer: Answer is y= 3x+1

Step-by-step explanation:

Use point slope form y-y°=m(x-x°)

Find m, the slope: subtract the y values of the points, and divide that with the number you get when you subtract the x values of the points.

You should get m=3

Take either of the points, I’ll choose (0,1) because they are easy to use. Substitute 0 for x° and 1 for y°.

y-(1)=3(x-(0)) Substitute (0,1)

y-1=3x Simplify

y=3x+1 Add 1 to both sides and you’re done

Here's the solution,

the given figure is a kite,

So, BC = DC

=》

\(2x - 5 = x + 3\)

=》

\(2x - x = 3 + 5\)

=》

\(x = 8\)

value of x = 8