Help With Geometry Work Please!

The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.

a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%

b) Probability that only one of them will be audited:

c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%

d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.

The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.

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the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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Answer:

x=7

y=14

Step-by-step explanation:

this is a special 30-60-90 right triangle bc there is a right angle marker and a 60 degree and 30 degree angle

in 30-60-90 right triangles the short leg is x, the long leg is x√3, and the hypotenuse is 2x

it is given that the long leg is 7√3, and since the long leg equals x√3, then x equals 7

so the short leg, x, is 7  and since the hypotenuse is 2x, 2(7) =14

Answer:

-1 1/2 if you need a mixed number then choose -1 1/2

Answer: There are many possible fractions, here is all of them.

-3/2 = -6/4 = -9/6 = -12/8

= -15/10 = -18/12 = -21/14 = -24/16

= -27/18 = -30/20 = -33/22 = -36/24

= -39/26 = -42/28 = -45/30 = -48/32

= -51/34 = -54/36 = -57/38 = -60/40

= -63/42 = -66/44 = -69/46 = -72/48

= -75/50 = -78/52 = -81/54 = -84/56

= -87/58 = -90/60 = -93/62 = -96/64

= -99/66 = -102/68 = -105/70 = -108/72

= -111/74 = -114/76 = -117/78 = -120/80

= -123/82 = -126/84 = -129/86 = -132/88

= -135/90 = -138/92 = -141/94 = -144/96

= -147/98 = -150/100 = -153/102 = -156/104

= -159/106 = -162/108 = -165/110 = -168/112

= -171/114 = -174/116 = -177/118 = -180/120

= -183/122 = -186/124 = -189/126 = -192/128

= -195/130 = -198/132 = -201/134 = -204/136

= -207/138 = -210/140 = -213/142 = -216/144

= -219/146 = -222/148 = -225/150 = -228/152

= -231/154 = -234/156 = -237/158 = -240/160

= -243/162 = -246/164 = -249/166 = -252/168

= -255/170 = -258/172 = -261/174 = -264/176

= -267/178 = -270/180 = -273/182 = -276/184

= -279/186 = -282/188 = -285/190 = -288/192

= -291/194 = -294/196 = -297/198 = -300/200

Step-by-step explanation:

If you have any questions feel free to ask

Answer:

C

Step-by-step explanation:

Line AC is equal to line DF.

Answer: The answer is C

Step-by-step explanation:

The way it is written is very important

it goes

AB is to DE

BC is to EF

AC is to DF

Answer:

Trapezoidal prism

Step-by-step explanation:

As long as only two sides of two of the faces are parallel, and the other four faces have two sets of parallel sides, this is a trapezoidal prism.

Answer:

it is a Trapezoidal prism

The height in which the weight is lifted is given as h = (P x δt) / m

The work done in lifting a weight is given by:

W = F x d

where F is the force required to lift the weight and d is the distance through which the weight is lifted.

The force required to lift the weight is equal to its weight, which is given by:

F = m x g

where m is the mass of the weight and g is the acceleration due to gravity.

The distance through which the weight can be lifted is given by:

d = h

where h is the height to which the weight is lifted.

If the energy used to lift the weight is given by p, and δt is the time taken to lift the weight, then the power used is given by:

P = p / δt

We can use the formula for power to express the force in terms of p and δt:

P = F x v = F x d / δt

F = P x δt / d

Substituting the expressions for F and d into the formula for work, we get:

W = (m x g x h) = (P x δt x h) / d

Solving for h, we get:

h = (P x δt x d) / (m x g)

Substituting the expression for d (d = h), we get:

h = (P x δt x h) / (m x g)

Multiplying both sides by (m x g), we get:

h x m x g = P x δt x h

Dividing both sides by (m x g), we get the final equation:

h = (P x δt) / m

Therefore, the height to which the weight can be lifted (h) in terms of p, δt, and m is given by:

h = (P x δt) / m

where P is the power used to lift the weight, δt is the time taken to lift the weight, and m is the mass of the weight.

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Answer:

okay so I can complete this BY tommorow at 6:00pm Eastern Standard Time which is 7pm central time and 4AM mountain time. All of which is monday.  Sound good?

Step-by-step explanation:

ALSO. 4, 5, 6 are PAGES 4, 5, 6 or the second second page? the pages go 1, 2, 1, 2, 3, final. Or am I answering 2. D?

Answer:

scale factor(k)=23

A(x,y)=A'(kx,ky)

Let's do by using this formula

C(9,0)=C'(kx,ky)(here x=9 and y=0)

C(9,0)=(23*9,23*0)

C(9,0)=(207,0)

A(0,3)=A'(kx,ky)(here x=0 and y=3)

A(0,3)=A'(23*0,23*3)

A(0,3)=A'(0,69)

Step-by-step explanation:

sorry i dont know how to do B no

To help account for variability, the pollster used a simple random sample.

Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.

In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.

Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.

In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.

Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.

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Answer:

319

Step-by-step explanation:

...............///.......///

The formula of the function when the graph is analyzed will be y =1.5sin[(pi/4)x] - 3.

From the graph, the mid line is y = -3 and the amplitude will be:

= -1.5 - (-3)

= 1.5

From the mean line to the max is ¼ of a cycle. Therefore, the period will be:

= 4 × 2 = 8

Number of cycles in 2pi will be:

= 2pi/8

= pi/4

Hence, the formula of the function will be y= 1.5sin[(pi/4)x] - 3.

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Answer:

f(x)=1.5sin (pie/4 x)-3

Step-by-step explanation:

Kahn academy aproved

Step-by-step explanation:

it is important to recognize : we don't know the real number of shirts in total. we only know the relative numbers.

it is like with a pizza and 8 slices.

we know that each slice is 1/8 of the pizza, but that does not tell us anything about the size of the pizza.

so, from all the shirts Jeremiah possesses, 1/12 are striped.

ANOTHER 1/12 of these shirts are plaid.

there is no overlap possible.

so a shirt is either striped or plaid or something else. but never two or all three of these options.

therefore, the fraction of shirts that are either striped or plaid is

1/12 + 1/12 = 2/12 = 1/6

FYI :

we don't know the real number of shirts, because 1/12 could be a simplified fraction based on e.g.

2/24, 3/36, 4/48, 5/60, ...

so, there is no way of saying that there were 12 shirts in total.

overall, the complete set of shirts consists of 3 (!) types :

1/12 are striped

1/12 are plaid

10/12 are something else

in sum we have then 12/12 = 1, which always represents the "whole". again, "1" or "whole" does not tell us anything about the absolute size, and neither does a fraction of that "whole".

Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches

So, the radius of the rod is 3 inches.

Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:

Surface area = 2πr(h + r)

Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches

Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:

Surface area painted = 42π square inches * 2 = 84π square inches

Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.

Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

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Answer:10

Step-by-step explanation:

beausepppppp

The side length of the smaller cube inscribed within the sphere is approximately 0.7071.

To find the side length of the smaller cube inscribed within the sphere, which is inscribed in a unit cube, we can follow these steps:
Determine the diameter of the inscribed sphere.
Since the sphere is inscribed in the unit cube, its diameter will be equal to the side length of the unit cube. Therefore, the diameter of the inscribed sphere is 1.
Calculate the radius of the inscribed sphere.
The radius of the sphere is half of its diameter, so the radius is 0.5.
Apply the Pythagorean theorem to the smaller cube.
We can imagine a right triangle formed by half the side length of the smaller cube (let's call this length 's') and the sphere's radius (0.5) as the two shorter sides, and the diagonal of the smaller cube as the hypotenuse.
By applying the Pythagorean theorem, we get:
(s/2)^2 + (s/2)^2 = (0.5)^2
Solve for the side length 's' of the smaller cube.
Expanding the equation, we get:
2 * (s^2 / 4) = 0.25
(s^2 / 2) = 0.25
s^2 = 0.5
s = sqrt(0.5)
Express the side length 's' of the smaller cube.
The side length of the smaller cube, 's', is equal to the square root of 0.5, which can also be written as sqrt(0.5) or approximately 0.7071.
So, the side length of the smaller cube inscribed within the sphere is approximately 0.7071.

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Answer: The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

Step-by-step explanation:

Surface area = 2(wl + hl + hw).

Volume = Length x Width x Height

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

Answer:

The answer would be y = 5x + 3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Sequence A works.

With sequence B, the triangles will be next to each other.

Answer: A

Answer:

Step-by-step explanation:

Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)

Option b,d,g are linear equations. (Because its degree is 1)

Just option h is not quadratics nor linear.

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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Religious affiliations are an example of qualitative data.

Qualitative data is data that cannot be measured numerically, but instead is categorized based on characteristics or attributes. Examples of qualitative data include things like religious affiliations, gender, race, and favorite color.

It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form.
Qualitative data may be difficult to precisely measure and analyze.

In contrast, quantitative data is data that can be measured numerically. Examples of quantitative data include things like height, weight, age, and income.

So, to answer the question, religious affiliations are an example of qualitative data because they are categorized based on characteristics or attributes, rather than being measured numerically.

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Answer:

94.20 yds

Step-by-step explanation:

C = 2 pi r

     2 pi (15) = 94.20 yds

Answer:

okay i will gladly

==========================================================

Explanation:

The decrease is 0.4 million since 3.2 - 2.8 = 0.4

Divide this decrease over the initial population

0.4/3.2 = 0.125

This converts to 12.5% when you move the decimal 2 spots to the right.

The population decreased by 12.5%

The work done in stretching the spring to 0.6 feet beyond its natural length, in foot-pounds, is equal to half the product of the force (F_pounds) and the displacement (0.6 feet).

The work done on a spring can be calculated using Hooke's Law, which states that the force required to stretch or compress a spring is proportional to the displacement from its equilibrium position (F = kx).
In this case, you mentioned that a force of "pounds" is required to hold the spring stretched 0.6 feet beyond its natural length. Let's denote the force as F_pounds and the spring constant as k. According to Hooke's Law, we have:
F_pounds = k × 0.6
Now, to find the work done in stretching the spring (W), we can use the formula for work done on a spring:
W = (1/2) × k × \(x^{2}\)
Since we are interested in the work done in stretching the spring 0.6 feet beyond its natural length, we can substitute x with 0.6 and k with F_pounds/0.6:
W = (1/2) × (F_pounds/0.6) × \((0.6)^{2}\)
By simplifying this expression, we get:
W = (1/2) × F_pounds × 0.6

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Answer:

b=− 3/4 =−1.333

b= 2/3=1.500

explanation

middle term, which is   -1 .  

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1    That's it

Two real solutions:

b =(1+√289)/12=(1+17)/12= 1.500

or:

b =(1-√289)/12=(1-17)/12= -1.333

When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

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