Help i need to pass Badly!!!

E(U) = 1 , Var(U) = 88.

The independent random variables are X and Y where E(X) = 3, Var(X) = 10, E(Y) = 6, and Var(Y) = 20.

We need to find E(U) and Var(U) where U = 2X - Y + 1.

Find the value of E(U):

Using the formula,E(U) = E(2X - Y + 1) ...equation (1)

Let's calculate each component separately:

E(2X) = 2E(X) {since E(aX) = aE(X)}∴ E(2X) = 2 x 3 = 6E(-Y) = -E(Y) {since E(-X) = -E(X)}∴ E(-Y) = -6E(1) = 1 {since E(constant) = constant}

Putting values in equation (1), we get: E(U) = E(2X - Y + 1)E(U) = E(2X) - E(Y) + E(1)E(U) = 6 - 6 + 1∴ E(U) = 1

Therefore, E(U) = 1.

Var(U) = Var(2X - Y + 1) ...equation (2)

Using the formula,Var(aX + bY) = a²Var(X) + b²Var(Y) + 2abCov(X,Y) {where Cov(X,Y) = ρxy x σx x σy}E(aX + bY) = aE(X) + bE(Y)

Putting values in equation (2), we get:

Var(U) = Var(2X - Y + 1)Var(U) = Var(2X) + Var(-Y) + Var(1) + 2Cov(2X, -Y) + 2Cov(-Y, 1) + 2Cov(2X, 1){Since covariance of independent random variables is zero}

Var(U) = 4Var(X) + Var(Y) + 2Cov(2X, -Y) + 2Cov(-Y, 1) + 4Cov(X,1)Var(U) = 4 x 10 + 20 + 2Cov(2X, -Y) - 2Cov(Y, 1) + 4Cov(X,1){Since covariance of independent random variables is zero}

Var(U) = 60 + 2Cov(2X, -Y) - 4Cov(Y, 1)

Note that, for independent random variables, Cov(X, Y) = 0

Hence,Var(U) = 60 + 2Cov(2X, -Y) - 4Cov(Y, 1){Now, let's calculate Cov(2X, -Y)}

Using the formula,Var(aX + bY) = a²Var(X) + b²Var(Y) + 2abCov(X,Y)Var(2X - Y) = 4Var(X) + Var(Y) - 4Cov(X,Y)

Let's solve for Cov(X,Y)4Var(X) + Var(Y) - 4Cov(X,Y) = Var(2X - Y)4 x 10 + 20 - 4Cov(X,Y) = 4 x 10 - 20Cov(X,Y) = 15

We have the values of Var(X), Var(Y), and Cov(X, Y) in the equation (2).

Let's substitute the values in equation (2).

Var(U) = 60 + 2 x 15 - 4Cov(Y, 1)Var(U) = 90 - 4Cov(Y, 1)

But, we need to calculate the value of Cov(Y,1) {since it is not zero for independent random variables}

Using the formula,Var(aX + bY) = a²Var(X) + b²Var(Y) + 2abCov(X,Y)Cov(X,Y) = [Var(aX + bY) - a²Var(X) - b²Var(Y)]/ 2ab

We need to find Cov(Y, 1)Let a = 1 and b = 1

Using the formula,Cov(Y, 1) = [Var(Y + 1) - Var(Y) - Var(1)]/ 2Cov(Y, 1) = [Var(Y) + Var(1) + 2Cov(Y,1) - Var(Y) - 0]/ 2Cov(Y, 1) = 1 + Cov(Y, 1)Cov(Y, 1) = 1/2

Now, putting the value of Cov(Y, 1) in the expression for Var(U), we get:Var(U) = 90 - 4Cov(Y, 1)Var(U) = 90 - 4(1/2)Var(U) = 88

Therefore, Var(U) = 88.

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Answer: A

Step-by-step explanation: The starting equation is 24 + 0.44x = 19 + 1.69x,

First, combine the x's on the RHS, and the integers on the LHS.

1.69x - 0.44x = 1.25x

24 - 19 = 5

So the equation will be 1.25x = 5

Divide both sides by 1.25 to isolate the x.

x = 4

Answer:

−2x+15

5x+15+−7x

=5x+15+−7x

=(5x+−7x)+(15)

Answer:

8

Step-by-step explanation:

5 times 3= 15

add x to 15 to get 15x

15x-7x=8

The error happens at step 4

Instead of \(x = \sqrt{36}\), it should be \(x = \pm\sqrt{36}\) which leads to \(x = \pm 6\)

The two solutions are x = 6 or x = -6.

Notice that x^2 = 6^2 = 36 and x^2 = (-6)^2 = (-6)*(-6) = 36. The two negatives cancel out.

Answer: i believe it is 12x²−2x−2

Step-by-step explanation:

(4x−2)(3x+1)

=(4x+−2)(3x+1)

=(4x)(3x)+(4x)(1)+(−2)(3x)+(−2)(1)

=12x²+4x−6x−2

=12x²−2x−2

hope this helps :)

Answer:

the smallest multiple of every number is the number itself

Step-by-step explanation:

50

We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

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The first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.

It is given that:

The sequences are:

1. a(1) = 7, a(n) = a(n - 1) - 3 for n > 2.

Plug n = 2 in the a(n)

a(2) = a(2 - 1) - 3

a(2) = a(1) - 3

a(2) = 7 - 3

a(2) = 4

lug n = 3

a(3) = 1

The first five terms are:

7, 4, 1, -2, -5 (arithmetic sequence)

2. b(1) = 2, b(n) = 2[b(n - 1) - 1] for n > 2.

Similarly,

The first five terms are:

2, 2, 2, 2, 2 (geometric sequence)

3. c(1) = 3. c(n) = 10 • c(n - 1) for n > 2.

The first five terms are:

3, 30, 300, 3000, 30000 (geometric sequence)

4. d(1) = 1, d(n) = n • d(n - 1) for n > 2.​

1, 2, 6, 24, 48 (geometric sequence)

Thus, the first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.

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Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or other.

1. a(1) = 7, a(n) = a(n - 1) - 3 for n > 2.

2. b(1) = 2, b(n) = 2 • b(n - 1) - 1 for n > 2.

3. c(1) = 3. c(n) = 10 • c(n - 1) for n > 2.

4. d(1) = 1, d(n) = n • d(n - 1) for n > 2.​

To prove the converse of the Vertical Angles Theorem, we need to show that if angles LDBC and LABE are congruent and points D, B, and E are on opposite sides of line AB, then they must be collinear.

Given: ∠LDBC ≅ ∠LABE

To Prove: D, B, and E are collinear

Proof:

1. Assume that points D, B, and E are not collinear.

2. Let BD intersect AE at point X.

3. Since D, B, and E are not collinear, then X is a point on line AB but not on line DE.

4. Consider triangle XDE and triangle XAB.

5. By the Alternate Interior Angles Theorem, ∠XAB ≅ ∠XDE (corresponding angles formed by transversal AB).

6. Since ∠LDBC ≅ ∠LABE (given), we have ∠LDBC ≅ ∠XAB and ∠LABE ≅ ∠XDE.

7. Therefore, ∠LDBC ≅ ∠XAB ≅ ∠XDE ≅ ∠LABE.

8. This implies that ∠XAB and ∠XDE are congruent vertical angles.

9. However, since X is not on line DE, this contradicts the Vertical Angles Theorem, which states that vertical angles are congruent.

10. Therefore, our assumption that D, B, and E are not collinear must be false.

11. Thus, D, B, and E must be collinear. Therefore, the converse of the Vertical Angles Theorem is proven, and we can conclude that if ∠LDBC ≅ ∠LABE and D, B, and E are on opposite sides of line AB, then D, B, and E are collinear.

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Answer:

C = 100

Step-by-step explanation:

Supplementary angles equal 180 degrees

180 - 80 = 100

Answer:

m∠C = 100°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°. We are given m∠D as 80°.

Step 1: Subtract 80 from both sides.

Therefore, the answer is 100°.

The rate at which Submarine B descends is 29.8 feet per hour.

The rate refers to the average speed of an object in motion from one point to another.

The rate can be determined by dividing the distance by the time.

The rate or average speed is the quotient between distance and time.

The distance descended by Submarine A = 193.5 feet (126 + 4 ½ x 15)

The time Submarine B descends = 6.5 hours

Submarine B's rate of descent = 29.77 feet (193.5/6.5) per hour

= 29.8 feet

Thus, we can conclude that Submarine B descends at the rate of 29.8 feet every hour, whereas, Submarine A descends 15 feet per hour.

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Answer:

x<-5/4

Step-by-step explanation:

The answer of the given question based on the trigonometry is , to calculate YZ, we should use the cosine function with the angle 35.5°.

The sine function is a mathematical function that relates the ratios of the lengths of two sides of a right triangle with the measure of one of its non-right angles. Specifically, the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse.

To use trigonometry to calculate YZ, we need to find a trigonometric ratio that involves the given side XZ and the angle opposite the requested side, which is angle YXZ. We don't have the measure of this angle, but we know that it is supplementary to the given angle 35.5°, so it must measure:

180° - 35.5° = 144.5°

We can use this angle and the given side XZ to find the length of YZ using the sine or cosine function.

In this case, the length of the opposite side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 144.5°. So we can write:

sin(144.5°) = YZ / XZ

Solving for YZ, we get:

YZ = XZ * sin(144.5°)

On the other hand, the cosine function , this case, the length of the adjacent side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 35.5°. So we can write:

cos(35.5°) = YZ / XZ

Solving for YZ, we get:

YZ = XZ * cos(35.5°)

Therefore, to calculate YZ, we should use the cosine function with the angle 35.5°.

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Answer:

HIIiiiiiiiiiiiiiiiiiiIIIIIIIIIIIIIiiiiiiiiiiiiIIIIIIIIIIIIIIII

Step-by-step explanation:

The remainder when a 90-digit number 9999 is divided by 89 is 0, as the result of applying the divisibility rule of 89, which involves reversing the digits of the number and subtracting the smaller from the larger.

To find the remainder when a 90-digit number 9999 is divided by 89, we can use the divisibility rule of 89. The rule states that for any integer n, the number obtained by reversing the digits of n and subtracting the smaller from the larger is divisible by 89.

In this case, we reverse the digits of 9999 to get 9999 again, and subtract the smaller from the larger to get 0. Since 0 is divisible by any number, including 89, the remainder when 9999 is divided by 89 is 0.

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Answer:

the difference of the numbers are 217 and 55.

Step-by-step explanation:

a+b=272

a/b=3…52

a=3b+52

4b+52=272

4b=220

b=55

a=272-55=217

The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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Answer:

39.4

Explanation:

Given the expression

9.85 × s

We are to find the equivalent value if s = 4

Substitute;

9.85 × s

= 9.85 × 4

= 9.85 × 2 * 2

= 19.7*2

= 39.4

Hence the value of the expression when s = 4 is 39.4

Answer:

985,600

Step-by-step explanation:

because it is 22 you round down

Answer:

985,600

Step-by-step explanation:

hope that helps

Using mathematical operations we can conclude that Jada drinks 8/15 liters of water.

So, liters of water Jada drinks:

We know that,

The container holds 4/5 liters of water.

Jada drinks 2/3 liters of water.

Now, liters of water Jada drinks is:

4/5 × 2/3

4×2/5×3

8/15

Therefore, using mathematical operations we can conclude that Jada drinks 8/15 liters of water.

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Distance is increasing with a speed of 0.2 Miles/Min

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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For real and distinct roots of a quadratic a₁v² + a₂v + a₃ = 0, with v the unknown, then the discriminant D > 0 which makes option C correct

Suppose a₁p² + a₂p + a₃ = 0, where a₁, a₂ and a₃ are constants, then the discriminant D = (a₂)² - 4a₁a₃ which makes option C correct.

The quadratic equation is of the general form ax² + bx + c = 0 where x is the unknown, a, b and c are constants and the discriminant D = b² - 4ac. The nature of its roots are:

For the equation a₁v² + a₂v + a₃ = 0 with real and distinct roots, the discriminant D > 0

For the equation a₁p² + a₂p + a₃ = 0, where a₁, a₂ and a₃ are constants, the discriminant D = (a₂)² - 4a₁a₃.

Therefore, the discriminant D > 0 for the real and distinct roots of the equation a₁v² + a₂v + a₃ = 0. And the discriminant D = (a₂)² - 4a₁a₃ for the quadratic equation a₁p² + a₂p + a₃ = 0

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Answer:

AB = 18 m . Thus, the original height of the tree = 18 m.

Step-by-step explanation:

Answer:

Find the factors of c that add up to b.

Step-by-step explanation:

For example, if you were factoring

x^2 + 12x + 35

a=1

b=12

c=35

In order to factor, we're looking for what multiplies to 35, and adds up to 12. What multiplies to 35 are the factors of 35. In this case its 5 and 7.

5 × 7 = 35

5 + 7 = 12

So you could factor

x^2 + 12x + 35

= (x + 5)(x + 7)

Leading coefficient=a=1

So

the equation becomes

Usually we find factors of ac but as a is 1 so it yields c only

Can be cracked within eight hours by the average hacker.

With spaces included in the character count, 8 characters equals between 1 and 2 words. If spaces are excluded from the character count, 8 characters equals between 1 and 3 words.

There are 8-character passwords with capital letters, lowercase letters, and numerals that begin and end with the same symbol.A password of eight characters with just lowercase and capital letters offers 200 billion potential permutations.“1uppercase” is an example of an 8-character password. This password has one uppercase, one lowercase, one number, and one special character.

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Answer:

Step-by-step explanation:

see attached image.

perimeter of trapezoid = sides (6 + 8 + 5 + 8 + 8)

                                     = 35

the perimeter of trapezoid BMNC is 35

Given :

In  triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. If MN = 8, ML = 5, and NL = 6

By midpoint theorem ,

\(BC= 2 \cdot MN\\BC=2 \cdot 8\\BC=16\)

M is the midpoint of AB, AB= 2 times NL

BM=NL

BM=6

N is the midpoint of AC

AC is 2 times of ML

NC=ML

NC=5

Perimeter of trapezoid is  sum of all the sides

Perimeter of BMNC = BM+MN+NC+CB

Perimeter =\(6+8+5+16=35\)

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Answer:

25

Step-by-step explanation:

10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25