PLEASE HELP (WILL GIVE BRAINLIEST)

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer 1

Answer:

V = π(19.1^2)(11.8) = 13,523.8 cubic mm

V = 3.14(1.91^2)(11.8) = 13,516.9 cubic mm


Related Questions


The line plots show the history and mathematics grades for 20 students. What is
the degree of overlap of the two data sets?

Answers

The degree of overlap between the two data sets is said to be high degree of overlap

what is degree of overlap of data?

Data overlap is a statistical term that analyzes the extent to which data points or distributions intersect.

It is often employed when comparing two or more datasets, determining how similar or dissimilar they are from each other.

A high degree of overlapping indicates an extensive similarity among shared values between multiple sets of data or distributions. Conversely, if there is a low level of overlapping observed between two datasets, it suggests complete distinctness and no sharing of common quantitative baseline measurements or metrics.

The domain of the overlap according to the plot is [55 85]

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Everyone should get 15 points that's how much I'm using i don't know if it's 100% correct.

Answers

The box plot that has the smallest interquartile range would be the fourth box plot.

The bar graph that shows Ellen's steps would be B. Second bar graph.

How to find the box plot and bar graph?

The interquartile range on a box plot can be found by subtracting the figure where the box starts at, from the figure where the box plot stops.

This means that the figure with the least interquartile range is the fourth box plot with an interquartile range of :

= 8 - 4

= 4

The bar graph that would show Ellen's steps would be the one that has the most steps on the graph, closest to the mean of 10, 000 steps. Only Graph B has steps in the number of days, which are closest to 10, 000 steps consistently so this is the correct graph.

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How can you use the double number line diagram to find what percent is of ​? x y graph Question content area bottom Part 1 Each mark on the top number line increases by enter your response here​, so the ▼ third second fourth first mark is . Each mark on the bottom number line increases by enter your response here​%. ​So, enter your response here​% of is . ​(Type whole​ numbers.)

Answers

Here are the steps to use the double number line diagram to find a percentage:

Identify the two sets of values: Draw a double number line diagram: Determine the total value: Determine the known value:Use the double number line to find the unknown value: Calculate the percentage:

How to explain the information

It should be noted that the double number line diagram is a visual tool that is used to represent two equivalent sets of values, and it can be useful to find percentages in a given context.

In this case, the steps are given above.

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HELP ME PLEASE WILL 5 STAR

Answers

Answer:

85.84

Step-by-step explanation:

6x4 is the area of 1 rectangle

There r 3 rectangles

6x4 =24

24x3 =72

That’s the area if all the rectangles


There r 2 triangles

(4x3.46)/2 is the area of 1 triangle

=6.92

6.92x2 =13.84


total surface area is all the areas added up

72+13.84

=85.84

I NEED HELP!!!! I DONT UNDERSTAND WHAT TO DO SO IF YOU COULD SOLVE IT FOR ME THAT WOULD BE GREAT!!! THXXXX

Answers

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

We have,

The angle between the tangent and the radius of a circle is 90.

So,

∠1 = 90

∠2 = 90

And,

48 + 90 + 90 + ∠3 = 360 ______(1)

Solve for ∠3 from (1).

48 + 90 + 90 + ∠3 = 360

48 + 180 + ∠3 = 360

∠3 = 360 - 228

∠3 = 132

Thus,

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

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SVM & Kernel Methods Problem 1 (10 points) In this problem we would like to compare the solutions of hard and soft SVMs on a linearly seperable dataset. Let n > 1 be a fixed number. Is it true that there exists C > 0 such that for every sample S of n training examples with binary label, which are linearly separable, the hard-SVM and the soft-SVM (with parameter C) solutions will return exactly the same weight vector. Justify your answer. (Hint: consider n = 2, d = 1 and S = {(x1, yı), (x2, y2)}. Let a > 0 and consider x1 = a, yı = 1, X2 = –a, y2 = -1. Derive the optimal solution for hard and soft SVM and compare the results.)

Answers

It is not true that there exists a C > 0 such that for every sample S of n training examples with binary label, which are linearly separable, the hard-SVM and the soft-SVM (with parameter C) solutions will return exactly the same weight vector.

This can be shown by considering the case where n = 2, d = 1 and S = {(x1, yı), (x2, y2)}. Let a > 0 and consider x1 = a, yı = 1, X2 = –a, y2 = -1.

For the hard-SVM, the optimal solution is to find the weight vector w that maximizes the margin between the two classes while ensuring that all training examples are classified correctly. In this case, the margin is 2a and the weight vector is w = (0, 1) or w = (0, -1), depending on the choice of the positive and negative class labels.

For the soft-SVM with parameter C, the optimal solution is to find the weight vector w and the slack variables ξi that minimize the objective function:

min ||w||^2 + CΣξi
s.t. yi(wT xi) ≥ 1 - ξi, ξi ≥ 0

In this case, since the data is linearly separable, the slack variables will be zero for all training examples and the optimal solution will be the same as for the hard-SVM. However, if C is chosen to be a large value, the soft-SVM may allow some misclassifications by penalizing them with the slack variables. In this case, the optimal solution will be different from the hard-SVM.

Therefore, it is not always true that the hard-SVM and soft-SVM solutions will return exactly the same weight vector for linearly separable data, but they may be the same if the parameter C is chosen appropriately.

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 32 feet and a height of 16 feet. Container B has a diameter of 30 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full. After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answers

The volume of a cylinder can be found using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

For Container A, the radius is half the diameter, or 16 feet. So the volume of Container A is:

V_A = π(16 ft)^2(16 ft) = 8,192π cubic feet

For Container B, the radius is half the diameter, or 15 feet. So the volume of Container B is:

V_B = π(15 ft)^2(18 ft) = 12,735π cubic feet

To find the volume of water that was transferred from Container A to Container B, we can subtract the volume of Container A from the volume of both containers combined:

V_water = V_A + V_B - V_A = V_B

V_water = 12,735π cubic feet

To find the volume of water remaining in Container A, we can subtract the volume of water that was transferred from the volume of Container A:

V_remaining = V_A - V_water

V_remaining = 8,192π - 12,735π

V_remaining ≈ -3,543.7 cubic feet

However, a negative volume doesn't make sense in this context, so we know that there must be no water remaining in Container A after the transfer. Therefore, the volume of water remaining in Container A to the nearest tenth of a cubic foot is 0.

Isaac measured the time it took for some teams to complete an escape room game. He recorded their times in the table below. How many of the teams took less than 20minutes to complete the game? (Image: Image showing mathematical content for the question.)

Answers

32 is the number of teams took less than 20minutes to complete the game

Given that Isaac measured the time it took for some teams to complete an escape room game.

The times were recorded in the table

We have to find the number of teams which are  less than 20minutes to complete the game

Number of teams took less than 20 minutes

=8+24

=32

Hence, 32 is the number of teams took less than 20minutes to complete the game.

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Let X1, X2, ... be IID with mean . Let So O and Sn {k=1 Xk. Let T be a bounded stopping time for the filtration En 0{X1, ..., Xn}. Prove that E[ST] = uE[T]: First show Sk – ku is a martingale. = (Sr] = EL

Answers

To show that Sk - ku is a martingale, we need to show that it satisfies the two properties of a martingale:

Sk - ku is integrable for all k.

For any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku.

First, we show that Sk - ku is integrable for all k:

E[|Sk - ku|] = E[|(X1 + ... + Xk) - k|]

= E[|X1 + ... + Xk| - k] (using linearity of expectation)

≤ E[|X1| + ... + |Xk|] + k (by triangle inequality)

= kE[|X1|] + ... + kE[|Xk|] + k (using linearity of expectation)

= kE[|X1|] + ... + kE[|X1|] + k (since Xi are IID)

= kE[|X1|] + k (since there are k terms)

< ∞ (since E[|X1|] is finite)

Therefore, Sk - ku is integrable for all k.

Next, we show that for any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku:

E[Sk+1 - ku+1 | E0,...,Ek] = E[(X1 + ... + Xk+1) - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) + Xk+1 - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) - k | E0,...,Ek] + E[Xk+1 | E0,...,Ek]

= Sk - ku + E[Xk+1] (by the martingale property of Sk - ku)

= Sk - ku + u (since the mean of X1, X2, ... is u)

Therefore, Sk - ku is a martingale.

Now, we can use the optional stopping theorem to prove that E[ST] = uE[T]:

By the optional stopping theorem, we have:

E[ST] = E[(Sk - ku)(T - k) + Sku]

= E[(Sk - ku)(T - k)] + E[Sku]

= E[E[(Sk - ku)(T - k) | E0,...,Ek]] + E[Sku] (using law of total expectation)

= E[(Sk - ku)E[T - k | E0,...,Ek]] + E[Sku] (using linearity of expectation)

= E[(Sk - ku)(E[T | E0,...,Ek] - k)] + E[Sku] (using law of total expectation)

= E[(Sk - ku)(T - k)] + E[Sku] (since T is a bounded stopping time)

= E[SkT - kuT - kS + ku] + E[Sku]

= E[SkT] - uE[KT] - kE[S] + ku + E[Sku] (using linearity of expectation)

= uE[KT] - uE[KT] - kE[S] + ku + E[Sku] (using the optional stopping theorem)

= ku + E[S(T-k)]

= ku + E[Sk - k^2] (since T is a stopping time)

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Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 512π square units. Find the value of r.

Answers

The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units

Finding the value of r.

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

The lateral area of the cylinder is 512π square units

The lateral area of the cylinder is 2πrh

So, we have

2πrh = 512π

Substitute r for h

2πr^2 = 512π

Divide both sides by 2π

So, we have

r^2 = 256

Take the square roots

r = 16

Hence, the radius is 16 units

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What is the image of ( − 5 , − 9 ) after a dilation by a scale factor of 3 centered at the origin?

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i’m pretty sure The image of (-5, -9) after a dilation by a scale factor of 3 centered at the origin is (-15, -27)

If a =5 and b = 9, what is the following fraction in lowest terms? a+1/b​

Answers

Answer:

2/3

Step-by-step explanation:

since a is 5 and b is 9.

so, 5+1( according to the expression given)/9

5+1/9 equals 6/9 and taking them down to the lowest terms that makes the answer 2/3

Please help me with this for a large reward please someone

Answers

The lengths arranged from shortest to longest is [tex]2\frac{7}{8}[/tex],  [tex]3\frac{1}{4}[/tex], [tex]3\frac{1}{2}[/tex] , [tex]3\frac{5}{6}[/tex], [tex]4\frac{2}{3}[/tex] (option H).

What is the order of the lengths of the wood?

The lengths of the woods are expressed as mixed numbers. Mixed numbers are non-integers that consists of a whole number and a proper fraction. For example, [tex]3\frac{1}{4}[/tex] is a mixed number. 3 is the whole number and [tex]\frac{1}{4}[/tex] is the proper fraction.

In order to arrange the lengths of the woods from shortest to the longest, convert the mixed numbers to decimals for easy comparison.

[tex]3\frac{1}{4}[/tex] becomes 3.25

[tex]2\frac{7}{8}[/tex] becomes 2.875

[tex]3\frac{5}{6}[/tex] becomes 3.833

[tex]4\frac{2}{3}[/tex] becomes 4.667

[tex]3\frac{1}{2}[/tex] becomes 3.5

The lengths arranged from shortest to longest is [tex]2\frac{7}{8}[/tex],  [tex]3\frac{1}{4}[/tex], [tex]3\frac{1}{2}[/tex] , [tex]3\frac{5}{6}[/tex], [tex]4\frac{2}{3}[/tex]

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You deposit $1200 in an account. Your account earns 2.6% simple interest rate. What is the balance of the account after an additional 3 months? Round to the nearest penny, if necessary.

Answers

Answer: $1,293.60

Step-by-step explanation:

Triangle ABC~ Triangle DEF. Find the scale factor from triangle ABC to triangle DEF

Answers

Answer:

To go from ABC to DEF, you have to multiply by 8/9

Step-by-step explanation:

40/45 = 8/9

88/99 = 8/9

80/90 = 8/9

A financial education time of 34 hours is found to result in an amount of debt of 34215 dollars. What is the predicted amount of debt?

A financial education time of 24 hours is found to result in an amount of debt of 38000 dollars. What is the predicted amount of debt?

Answers

The predicted amount of debt for a financial education time of 34 hours is $26,350.

The predicted amount of debt for a financial education time of 24 hours is $31,550.

For the given information, we need to know the regression equation that relates financial education time and amount of debt to predict the amount of debt for different time durations.

Assuming a linear relationship between financial education time and amount of debt, we can estimate the regression equation as:

Amount of Debt = a + b × Financial Education Time + Error

where a and b are the intercept and slope of the regression line, respectively, and Error is the random error term.

Using the given data points, we can estimate the regression line as:

Amount of Debt = 41500 - 450 × Financial Education Time

(a) For a financial education time of 34 hours:

Amount of Debt = 41500 - 450 × 34 = $26,350

Therefore, the predicted amount of debt for a financial education time of 34 hours is $26,350.

(b) For a financial education time of 24 hours:

Amount of Debt = 41500 - 450 × 24 = $31,550

Therefore, the predicted amount of debt for a financial education time of 24 hours is $31,550.

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Please help !!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

It does not belong because like the other ones it is not side ways, as well as it's common sense.

Find the surface area

Answers

The surface area of the prism is 70.44 yd²

What is surface area of prism?

A prism is a solid shape that is bound on all its sides by plane faces. There are different types of prism, triangular prism, rectangular prism e.t.c

The surface area of a prism is expressed as;

SA = 2B +pH

where B is the base area and p is the perimeter of the base and h is the height of the prism

Base area = 1/2 bh

= 1/2 × 3 × 3 = 4.5 yd²

The hypotenuse of the triangle = √3²+3²

= √9+9 = √18 = 4.24

perimeter of the base = 4.24+3+3 = 10.24yds

Therefore,

SA = 2×4.5 + 10.24 × 6

SA = 9 + 61.44

SA = 70.44 yd²

therefore the surface area of the prism is 70.44yd²

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given u= (-10,-3) and v= (4,8) , what is proj vu

Answers

If u= (-10,-3) and v= (4,8) . Proj vu is  is (640/109, 192/109).

What is the projection of v onto u?

Using this formula to determine the projection of v onto u (proj vu)

proj vu = ((v dot u) / (||u||)^2) × u

Where:

v dot u = dot product of v and u

||u|| = magnitude of u

First step is to find  the dot product of v and u:

v dot u = (-104) + (-38)

v dot u = -40 - 24

v dot u = -64

Second step to to calculate the magnitude of u:

||u|| = √((-10)^2 + (-3)^2)

||u|| = √(100 + 9)

||u|| = √(109)

Let plug in the formula

proj vu = ((-64) / (√(109))^2)× (-10,-3)

proj vu = (-64 / 109) × (-10,-3)

proj vu = (640/109, 192/109)

Therefore  the correct option is A.

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Select the correct answer. Solve for x. x2 + x - 6 = 0 A. -2, -3 B. -2, 3 C. 2, -3 D. 2, 3 Reset Next

Answers

Answer: C. 2

Step-by-step explanation: you add 2x and x to get 3x. Then add 6 to the other side to get 3x = 6. Then divide 6 by 3 to get x=2

Given PQ|| BC, what is PB?
9.6 units
10 units
13 units
14 units​

Answers

Using the triangle proportionality theorem, the length of side PB in the given triangle is 10

Calculating the length of a side of a triangle

From the question, we are to determine what the length of PB is in the given triangle

From the Triangle Proportionality Theorem which states that "If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally".

Thus,

From the given diagram, we can write that

AP / PB = AQ /QC

From the given information,

AP = 4

AQ = 6

QC = 15

4 / PB = 6 / 15

6 × PB = 4 × 15

6 × PB = 60

Divide both sides by 6

PB = 60 / 6

PB = 10

Hence, the length of PB is 10

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(Time limit) Tell if the graph is a function or not.
And give me the domain and range.

Answers

Answer:

This graph is not a function.

The domain is -3<x<3.

The range is 1<y<3.

Whats the slope?
Y=x+5

Answers

Answer:

Step-by-step explanation:

1

Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5 .

Translate the following verbal statement into an algebraic equation and then solve:
Sara bought a refrigerator on sale for $600, which was three-fifths of the original price. What was the original price of the refrigerator?

Answers

Let's call the original price of the refrigerator "x".

According to the problem, the sale price of the refrigerator was $600, which was three-fifths of the original price.

We can set up an equation to represent this:

3/5 x = 600

To solve for x, we can multiply both sides by the reciprocal of 3/5, which is 5/3:

x = 600 * 5/3

Simplifying:

x = 1000

Therefore, the original price of the refrigerator was $1000.

please help solve for x 36 x 4 set up the proportion x/4=? image attached

Answers

The equation of proportion will be x/4 = 36/x. Then the value of 'x' will be 12 units.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

The equation is given as,

x/4 = 36/x

Simplify the equation, then we have

x/4 = 36/x

x² = 2² × 6²

x = 2 × 6

x = 12

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please help me!!!!!!

Answers

The line of reflection of the given image is:

A reflection across y = -3

What is the Line of Reflection?

A line of reflection is a line that lies between two identical mirror images, so the distance of any point of one figure from the line will equal the distance of the same point of the mirror image (flipped figure).

The definition above tells us that if we are given two images, such as mirror images of each other, the line of reflection can be determined by calculating the midpoint from any two points of the figures.

Looking at the given image, the center point of the mirror images is seen as y = -3

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A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost.How many sheets are in sale package

Answers

There are 125 sheets in the sale package.

If a regular package of graph paper contains 100 sheets, then a package with 25% more sheets would contain:

100 + (25/100) x 100 = 100 + 25 = 125

So a package with 25% more sheets would contain 125 sheets.

During the sale, the store is offering a package with 25% more sheets for no additional cost.

This means that the sale package contains the same number of sheets as a regular package, plus an additional 25% of that same number of sheets.

To find the number of sheets in the sale package, we can set up an equation:

Number of sheets in sale package = Number of sheets in regular package + 25% of the Number of sheets in the regular package

or

Number of sheets in sale package = 100 + 0.25 x 100

Simplifying,

Number of sheets in the sale package = 100 + 25

Number of sheets in the sale package = 125

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Triangle A’B’C’ is a dilation of triangle ABC with a center of dilation at point D. What is the scale factor of this dilation?

Answers

Answer:  2.4

Work Shown:

(A'C')/(AC) = 12/5 = 2.4

or you could say

(B'C')/(BC) = 16.8/7 = 2.4

or

(A'B')/(AB) = 9.6/4 = 2.4

The sides of triangle A'B'C' are 2.4 times longer compared to the corresponding sides of triangle ABC.

Sebastian va a elegir el color, el patrón, el tipo de letra y la imagen para el diseño de un suéter para su equipo de danza. Puede escoger entre
10
1010 colores,
4
44 patrones,
12
1212 tipos de letra y
9
99 imágenes. (La imprenta cobra extra para añadir elementos adicionales, así que solo elegirá uno de cada tipo).

Answers

Sebastian can choose between 4,320 different sweaters.

How many different sweaters can Sebastian choose?

to find the total number of different sweaters, we need to take the product between the numbers of options for each of the given selections, we have the numbers:

Color = 10 options.

Pattern = 4 options.

Letter type = 12 options.

Image = 9 options.

Then the total number of different options is:

D = 10*4*12*9 = 4,320

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F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7

Answers

The measure of the central angle is 0.75 radians

How to solve an equation?

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Why didn't "World History" exist before theColumbian Exchange? Use the table of the probability distribution to find the variance it is important that you understand the steps in the extraction procedure and why each step was necessary. each step in the procedure aided in isolating the dna from other cellular materials. match the procedure with What is an advantage of aseptic handwashing?Select one:It sterilizes you for your entire shift.It can be done anywhere in the pharmacy.It allows you to compound outside of the clean rooms.It helps protect patients from receiving contaminated meds. i need help with calculus Place the locations of the heart's conducting system in order, beginning with the location where the heartbeat is initiated.Sinoatrial (SA) nodeLeft and right bundlesAtrioventricular (AV) bundlePurkinje cellsAtrioventricular (AV) node14352 The total cost for funding a trip for the senior class to go to the fall fair, C(x), is a function of the number of students that will make the trip, x. The trip will not be taken until at least 5 students sign up to go. This relationship can be modeled by the function shown.C(x) = 350 + 7.50xWhat is the domain and range for this situation? The bundle of collagen fibers at the end of a skeletal muscle that attaches the muscle to bone is called a(n)a. fascicleb. epimysiumc. ligamentd. myofibrile. tendon Which type of network is used to connect digital devices within a city or metropolitan area?a. Wi-Fib. LANc. WANd. MANe. SAN Compared to functional programming, ____ goes a step further toward not specifying exactly how a task is to be done. the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3315 grams and a variance of 391,876 . if a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4504 grams. round your answer to four decimal places. HELP HELP HELP HELP Data table a (Click on the following icon in order to copy its contents into a spreadsheet.) Important: The yields displayed are annually compounded yields. Security Yield (%) Treasury 3.14 AAA corporate 3.25 BBB corporate 4.27 B corporate 4.98 Print Done The following table summarizes the yields to maturity on several one-year, zero-coupon securities: a. What is the price (expressed as a percentage of the face value) of a one-year, zero-coupon corporate bond with a AAA rating? b. What is the credit spread on AAA-rated corporate bonds? c. What is the credit spread on B-rated corporate bonds? d. How does the credit spread change with the bond rating? Why? How much greater is the value of the 6 inand 4786.53 Denton 3821.69 Please help I have to do this before state testing this I one out of 32 questions also if you so happen to be mrs Billie from Alhambra traditional school I hate you Which of the following is currently the biggest threat to the quiding hand of majoritarianism in democracy? Multiple Choice increased online campaign donations lower participation in campaign rallies and events low voter turnout poll taxes What causes of Hypoglycemia (Confusion/Memory Loss DDX) he following are partial income statement account balances taken from the December 31, 2021, year-end trial balance of White and Sons, Inc.: restructuring costs, $370,000; interest revenue, $47,000; before-tax loss on discontinued operations, $470,000; and loss on sale of investments, $57,000. Income tax expense has not yet been recorded. The income tax rate is 25%.Prepare the lower portion of the 2021 income statement beginning with $835,000 income from continuing operations before income taxes. Include appropriate EPS disclosures. The company had 100,000 shares of common stock outstanding throughout the year. (Amounts to be deducted should be indicated with a minus sign. Round "EPS" answers to 2 decimal places.) This question has two parts.A wooden block is a prism, which is made up of two cuboids with the dimensions shown. The volume of the wooden block is 427 cubic inches.Part AWhat is the length of MN?Write your answer and your work or explanation in the space below. Part B200 such wooden blocks are to be painted. What is the total surface area in square inches of the wooden blocks to be painted? What is the end goal of PCR? To increase the pool of different DNA sequences To allow cells to make DNA faster, thereby growing faster To quickly increase the number of copies of a specific DNA sequence