Suppose that X is a random variable with moment generating function Mx. Give an expression for E[X*] + Var (X²) in terms of Mx and its derivatives.

The package that requires more wrapping paper to cover is the cube. The total amount of wrapping paper Susan must use to cover both packages is 286 square inches.

Let's find the surface area of both packages to determine which requires more wrapping paper and the total amount needed.

1. Rectangular prism:
Surface area = 2lw + 2lh + 2wh
where l = length, w = width, h = height
Surface area = 2(4)(2) + 2(4)(10) + 2(2)(10)
Surface area = 16 + 80 + 40 = 136 square inches

2. Cube:
Surface area = 6s²
where s = side length
Surface area = 6(5)² = 6(25) = 150 square inches

The cube requires more wrapping paper to cover as its surface area is 150 square inches, compared to the rectangular prism's 136 square inches. The total amount of wrapping paper Susan must use for both packages is 136 + 150 = 286 square inches.

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The value of x in the given triangle is 24.

The value of x in the given triangle is calculated as follows;

30 + 4x + 10 + x + 20 = 180 ( sum of angles in a triangle )

Collect similar terms together as shown below;

4x + x = 180 - 30 - 10 - 20

5x = 120

divide both sides of the equation by 5;

5x/5 = 120/5

x = 24

Thus, the value of x is determined from the principle of sum of angles in a triangle.

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Answer:

Option B

Step-by-step explanation:

Surface area of a cone is given by the expression,

V = πr(r + l)

Here, r = Radius of the circular base

l = Lateral height of the cone

By substituting the given values in the given expression of volume,

V = π(8)(8 + 15)

   = 184π units²

Therefore, surface area of the given circular cone is 184π units².

Option B is the correct option.

Answer: 184

Step-by-step explanation:

it's b it's b it's b

Step-by-step explanation:

I know I know

Step-by-step explanation:

as a big spoiler : pi is an universal constant. it is the same for every circle, every round object, for circumference, areas, surfaces and volumes.

the formula for a circle circumference :

2×pi×r

the radius is half of the diameter, or the diameter is twice the radius.

so, we have for circle A

pi×9 = 28.26

pi = 28.26/9 = 3.14

and for circle B

pi×5 = 15.7

pi = 15.7/5 = 3.14

the formula for the circle area is

pi×r²

so, for circle A

pi×(9/2)² = 63.585

pi×81/4 = 63.585

pi×81 = 254.34

pi = 254.34/81 = 3.14

for circle B we get

pi×(5/2)² = 19.625

pi×25/4 = 19.625

pi×25 = 78.5

pi = 78.5/25 = 3.14

as mentioned, pi is always the same. it is a natural, universal constant.

Answer:

9) 15

10)22

11)25

Step-by-step explanation:

9)

\(area=\frac{bh}{2} \\30=\frac{(2x+1)4}{2} \\\\30=4x+2\\\\28=4x\\x=7\\\)

substitute:

=2x+7

=2(7)+1

=15

10)

\(area=\frac{bh}{2} \\114=\frac{12(3x-2)}{2} \\114=18x-12\\126=18x\\7=x\)

substitute:

=3x-2

=3(7)+1

=22

11)

\(area=h\frac{b1+b2}{2} \\\\69=\frac{4x-2}{2} \\\\69=\frac{24x-12}{2} \\\\69=12x-6\\75=12x\\x=6.25\\\\=4x\\=4(6.25)\\=25\)

Answer:

The answer is 10 5/8

Step-by-step explanation:

Answer:

10 and5/8 cups

Step-by-step explanation:

4 and 4/1 cups for 10x12 cookies

17/4 cups for 120 cookies

34/8 cups for 120 cookies

17/8 cups for 60 cookies

we need to find 25 x 12 cookies = 300 = 120+120+60

17/8 + 34/8 +34/8 =85/8 =10and 5/8 cups

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

The object's acceleration at t = 3.37 s is approximately 9.206 m/s².

To find the object's acceleration at time t = 3.37 s, we need to calculate the second derivative of the position function with respect to time.

Given position function:

x(t) = 0.0905t⁴ - 0.225t³ + 0.821t² + 4.21t - 5.51

Taking the first derivative to find the velocity function:

v(t) = d/dt [x(t)] = 0.362t³ - 0.675t² + 1.642t + 4.21

Taking the second derivative to find the acceleration function:

a(t) = d²/dt² [x(t)] = d/dt [v(t)] = d²/dt² [x(t)]

a(t) = 1.086t² - 1.35t + 1.642

Substituting t = 3.37 into the acceleration function:

a(3.37) = 1.086(3.37)² - 1.35(3.37) + 1.642

Calculating the value gives:

a(3.37) = 9.206 m/s²

Therefore, the object's acceleration at t = 3.37 s is approximately 9.206 m/s².

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The probability to wait more than 15 seconds to connect is 50% and the probability to wait at least 10 more seconds after waiting 10 seconds is 33.33%.

x = old modem establish connection = [0, 30]

Probability density function or PDF is

f(x) = \(\frac{1}{b-a}\); 0 ≤ x ≤ 30

Probability to wait more than 15 seconds to connect is

f(X>5) = \(\int\limits^{30}_{15} {f(x)} \, dx\)

= \(\int\limits^{30}_{15} {\frac{1}{b-a}} \, dx\)

= \(\frac{1}{30-0} \, [x]^{30}_{15}\)

= \(\frac{30-15}{30}\)

= 0.5 or 50%

Probability if already waited 10 seconds and having to wait at least 10 more seconds is equal to wait at least 20 seconds from start. So,

f(X>5) = \(\int\limits^{30}_{20} {f(x)} \, dx\)

= \(\int\limits^{30}_{20} {\frac{1}{b-a}} \, dx\)

= \(\frac{1}{30-0} \, [x]^{30}_{20}\)

= \(\frac{30-20}{30}\)

= 0.3333 or 33.33%

Thus, the 50% probability to wait more than 15 seconds to connect and 33.33% probability to wait at least 20 seconds to connect.

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False. very few tools are available to assist system analysts and end users in analyzing data.

There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).

These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.

In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.

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The objects that will have a greater force between them are Objects B and C

Gravitational Force between two objects with masses of m₁ and m₂ is given by the formula: F = Gm₁m₂/r²

where;

G is the gravitational constant (6.67 x 10^-11 m³ s⁻² kg⁻¹)

r is the distance between the two objects

F is the magnitude of the force between the objects.

Objects B and C will have greater force between them because the distance r between A and B is the same as the distance between B and C. But the product of the masses of Objects B and C is much greater than that of the product of the masses of Objects A and B.

Gravitational Force is always directly proportional to the product of the masses of the two objects.

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distribute the 5 to whats inside the parentheses

simplify the common factors on both sides

bring all algebraic expressions to one side, and to the other all constant numbers

simplify both sides

divide both sides by 4

The acceleration due to gravity of a falling object is +9.8 m/s²

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. m/s² is its SI unit. Its nature which includes both magnitude and direction—makes it a vector quantity.

Given:

A linear expression we have

y= k x,

Here, Variation's constant is constant, or k.

The acceleration caused by gravity is stated to be the variational constant in the statement.

So, the linear expression becomes

y = g x, where g is a proportionality constant.

Now, Work is not done against gravity since an object falling downwards accelerates due to gravity at a rate of +9.8 m/s².

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Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

Answer:= 13

Step-by-step explanation:

Cystic fibrosis is an autosomal recessive genetic disorder. This means that in order for a child to have cystic fibrosis, both parents must be carriers of the recessive gene.

When both parents are carriers, the probability for each child to inherit the disorder is as follows:

1. 25% chance of having cystic fibrosis (inheriting two copies of the recessive gene)
2. 50% chance of being a carrier (inheriting one copy of the recessive gene)
3. 25% chance of not being a carrier or having the disorder (inheriting no copies of the recessive gene)

Since the question states that the first two children do not have cystic fibrosis, this does not affect the probability of the third child having cystic fibrosis. The probability remains the same for each pregnancy.

Therefore, the probability of the third child having cystic fibrosis is still 25%. It's important to note that the probabilities are independent for each child, meaning the outcome of one child's genetic inheritance does not influence the outcome for another child.

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Answer:

B

Step-by-step explanation:

the value of the x should be the same if we want to verify whether x+2 is a factor of f(x)

so if x=-2 ,f(-2) = 29

x+2=0 f(0) = 1

f(0) \(\neq\) f(-2) ,so x+2 is not a factor

what it actually means it that if we move the graphic of f(x) to left along to x axis 2 units, the graphic of new one cannot coincide with the original one.

Answer:

1. +12x and 15

2. 14x

3. 2

Step-by-step explanation:

Step 1: Distribute -3

To distribute -3, you would multiply both -4x and -5 by -3, changing them to 12x and 15

Step 2: Combine 12x and 2x

Then you would combine like terms, meaning that you would add 12x and 2x, creating 14x.

Step 3: Combine 15 and -13

You would finish combining like terms by adding 15 to -13, creating 2

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Answer:

Step-by-step explanation:

1/10 times 2 equal 2/20

1/10 times 3 equal 3/30

1/10 times 4 equal 4/40

and so on

Answer:

The answer can be the denominator and numerator times the same number.

Step-by-step explanation:

e.g. 1/10 and 2/20 are equal because when you simplify them the answer is 1/10.

The result of the operation is -27 < -18 and the result is true

The inequality expression is given as:

-15 < -6

The operation on the inequality expression is given as:

Subtract 12 from both sides of the inequality.

So, we start by subtracting 12 from both sides of the above inequality

This is represented as

-15 - 12 < -6 - 12

Evaluate the difference

So, we have

-27 < -18

The above inequality is true because -27 is less than -18

Hence, the result of the operation is -27 < -18 and the result is true

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Answer:

Substituting the given information into the compound interest formula:

Principal (P): $30

Annual interest rate (r): 12%

Periods per year (n): 6

A = P(1 + r/n)^(n*t)

A = 30(1 + 0.12/6)^(6*t)

Step-by-step explanation:

Substituting the given information into the compound interest formula:

Principal (P): $30

Annual interest rate (r): 12%

Periods per year (n): 6

A = P(1 + r/n)^(n*t)

A = 30(1 + 0.12/6)^(6*t)

Answer:

For #7:

B= 506

C=25

D=792

For #8:

She would drive 385 miles

For #9:

He used 2.25 or 2 1/4 cups per batch

For #10:

She will have to mow 13 lawns.

For #11:

PART A:

The first box would be 0.5

The third box would be 40

The fourth box would be 3.5

PART B: You'll have to do that yourself now that you have to times.

PART C: She rode 20 kph

Really hoped this helped!!! Have a great night and Happy Thanksgiving :)

The standard deviation of ages in the room increases, while the median of ages stays approximately the same.

Standard deviation is a measure of the variability of a set of data points. The addition of a 30-year-old mother and an infant to the group of ten five- and six-year-olds increases the spread of the ages, thus increasing the standard deviation.

The median, on the other hand, is the middle value in a set of data points. Since the median only depends on the order of the values, not their magnitude, adding a mother and an infant to the group of children does not significantly affect the median age in the room, which would still be close to 5 or 6 years old.

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The 94% confidence interval for the proportion of people who can program computers is (0.3397, 0.4203).

Now, For a 94% confidence interval for the proportion of people who can program computers, we can use the formula:

CI = p ± z√((p(1-p))/n)

where, p is the sample proportion.

n is the sample size.

z is the z-score corresponding to the desired confidence level.

We are given that the sample size is n = 750 and the sample proportion is p = 0.38.

Hence, the z-score corresponding to a 94% confidence level, we can use a standard normal distribution table or a calculator and find the z-score that corresponds to a cumulative area of 0.97, which is,

⇒ 1.8808

Substituting the given values into the formula, we get:

CI = 0.38 ± 1.8808√((0.38(1-0.38))/750)

CI = 0.38 ± 0.0403

Therefore, the 94% confidence interval for the proportion of people who can program computers is (0.3397, 0.4203).

We can say with 94% confidence that the true proportion of people who can program computers lies within this interval.

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Answer:

4 pizzas - 26 cups

13 cups - 2 pizzas

Step-by-step explanation:

4 pizzas:

39 cups : 6 pizzas

6.5 cups : 1 pizza

6.5×4 cups : 4 pizzas

4 pizzas = 26 cups

6.5 cups : 1 pizza

13/6.5 cups : x pizzas

13 cups = 2 pizzas

Answer:

1) necesita 26 tazas de harina .

2) puede hacer solo 2 pizzas .

espero te sirva :)

Step-by-step explanation:

1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.

2) 6,5 por 2 = 13.

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

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To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

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Answer:

18.2

Step-by-step explanation:

Since the hundreds place is less than 5, it stays the same.

Answer:

18.2, haven't done this for a while now, but I think that should be correct :)