) d5 goes on an exotic vacation and meets the love of her life, taylor. it is determined that 2% of the population where taylor lives is a carrier for this disorder. if we assume taylor has the same risk of being a carrier as everyone else in their population (2%), what is the probability that d5 and taylor will have a child with the disorder? show your equation and explain for full credit

The ratio of the number of circles to the number of triangles in simplest form is 3:4. The number of circles that need to be added to make the ratio 1 : 1 is 3.

First of all, we would have to determine the total number of circles and the number of triangles based on the information provided in the chart (see attachment) as follows;

Total number of circles, C = 9 circles.

Total number of triangles, T = 12 triangles.

Therefore, the ratio of the number of circles to the number of triangles is given by

C:T = 9:12

Dividing both sides of the ratio by 3, we have the following ratio in simplest form:

C:T = 3:4

In order to make the ratio 1:1, the number of circles that need to be added can be calculated as follows;

9 + x:12=1:1

(9 + x)/12 = 1/1

9 + x = 12

x = 12 - 9

x = 3 circles.

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The vector u is  \(\frac{-7}{3} i -\frac{8}{3}j -k\).

The linear combination 2u + 3v + 5w  is 19/3 i + 17/3 j + 6k.

According to the given question.

v = (2, 3, 1)

w = (1, 1, 1)

And

3u + 2v + 4w = (1, 2, 3)

From,

v = (2, 3, 1)

⇒ v = 2i + 3j + 1k

w = (1, 1, 1)

⇒ w = i + j + j

a). Let vector u be xi + yj + zk

Here,

3u + 2v + 4w = (1, 2, 3)

⇒ 3u + 2v + 4w = i + 2j + 3k

⇒ 3(xi + yj + zk) + 2(2i + 3j + k) + 4(i + j +k) = i + 2j + 3k

⇒ 3xi + 3yj + 3zk + 4i + 6j + 2k + 4i + 4j + 4k = i + 2j + 3k

⇒3xi + 3yj + 3zk + 8i + 10j + 6k = i + 2j + 3k

⇒ 3xi + 3yj + 3zk  = i + 2j + 3k - 8i -10j -6k

⇒ 3xi + 3yj + 3zk = -7i -8j -3k

⇒ xi + yj + zk = (1/3)(-7i -8j-3k)

⇒ xi + yj + zk = \(\frac{-7}{3} i -\frac{8}{3}j -k\)

b). The linear combination

2u + 3v + 5w

= 2(-7/3i -8/3j - k ) + 3(2i + 3j + k) + 5(i + j + k)

= -14/3 i -16/3j -2k + 6i + 6j + 3k + 5i + 5j + 5k

= -14/3 i -16/3j -2k  + 11i + 11j + 8k

= 19/3 i + 17/3 j + 6k

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The Laplace transform F(s) for the given function f(t) is F(s) = 2s / ((s - 5)(s^2 + 100)s)

To find F(s), the Laplace transform of f(t), we can use the properties of the Laplace transform. Here, f(t) = ae^bt cos(mt) u(t), where a = 2, b = 5, and m = 10.

Using the properties of the Laplace transform, we have:

F(s) = L{f(t)} = L{ae^bt cos(mt) u(t)}

To find F(s), we can apply the Laplace transform to each term individually. The Laplace transform of e^bt is given by:

L{e^bt} = 1 / (s - b)

The Laplace transform of cos(mt) is given by:

L{cos(mt)} = s / (s^2 + m^2)

Finally, the Laplace transform of u(t) is:

L{u(t)} = 1 / s

Now, we can substitute these values into the expression for F(s):

F(s) = (2 / (s - 5)) * (s / (s^2 + 10^2)) * (1 / s)

Simplifying, we have:

F(s) = 2s / ((s - 5)(s^2 + 100)s)

This is the Laplace transform F(s) for the given function f(t).

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The distance between the two given points on a number line is: 33/4 units.

The absolute difference between two points that are on a number line is the distance that exist between the two points.

For example, if a and b are two points on a number line, the distance between them can be calculated as: |a - b| units.

Given the coordinate of the two points, -5/2 and -23/4:

Distance between the two points = |-5/2 - 23/4|

Distance between the two points = |(-10 - 23)/4|

Distance between the two points = |-33/4|

Distance between the two points = 33/4 units.

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Answer:

-14

Step-by-step explanation:

Okay first we must simplify the expression.

so this:(3x^2 + x-2)(x - 5)

becomes this:3x^3-14x^2-7x+10

then we look at the coefficient of x^2 and we see that it's -14

Answer:

-14

Step-by-step explanation:

the person above explained it well, have a nice day!

Answer:

900

Step-by-step explanation:

First, we set up our equation: To find the area of a trapaziod, the equation is Base 1+ Base 2 times Height

So, the equation would be: A=26+46x19

A=72x19

72 times 19= 900

Hope this helps and have a nice day!

Based on the height of the cylinder and the base radius, the surface area of the cylinder can be found to be 351.68 ft²

The surface area of a cylinder can be found by the formula:

= 2π x radius ² + 2π x radius x height

The height is 20 ft and the radius is 6ft so the surface area is:

= (2 x 3.14 x 6²) + (2 x 3.14 x 20 ft)

= 226.08 + 125.60

= 351.68 ft²

In conclusion, the surface area of the cylinder is 351.68 ft²

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Answer:

I think it is 24 but I don't know the rest sorry 乁( •_• )ㄏ

Answer:

Step-by-step explanation:

Girls Basketball = x

Girls Soccer = x + 3

Total = 51

x + x + 3 = 51        Combine like terms

2x + 3 = 51            Subtract 3 from both sides

     - 3   - 3

2x = 48                 Divide by 2

2x/2 = 48/2

x = 24

The basketball team has 24 players

The soccer team has       27

Answer:

50.24 meters

Step-by-step explanation:

The equation for the circumference of a circle: 2πr

2 x 3.14 x 8 = 50.24

The probability of taking an orange marbe out, equals the amount of orange marbles divided by the total amount of marbles.

Since there are 3 yellow, 6 black, 3 green and 9 orange marbles, the total number of marbles is:

The probability of taking an orange marble out, will be:

Therefore, there is a 3/7 probability of taking an orange marbe out.

The result of the operation (3x/2) + (5x/2) is 4x.

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to simplify the process of adding or subtracting fractions.

To explain with an example, let's consider the fractions 1/4 and 2/5. These fractions have different denominators, which means they cannot be added or subtracted directly. To add or subtract them, we need to find a common denominator.

To perform the indicated operation (3x/2) + (5x/2), we combine like terms by adding the coefficients of x.

The common denominator for the fractions is 2, so we can write the expression as:

(3x + 5x) / 2

Adding the coefficients of x gives:

8x / 2

Simplifying the expression further:

8x / 2 = 4x

Therefore, the result of the operation (3x/2) + (5x/2) is 4x.

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Answer:

Lateral surface area is the area of the sides, not including the base and top area, while total surface area is the entire surface area (including sides, base, and top).

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.

Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.

In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.

A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.

In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.

Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.

In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.

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Probability Theory

P (K) =\(\frac{n (K) }{n (S)}\)

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\)

2) probability of students who curry a knife

P (B) = \(\frac{n (B) }{n (AUBUC)}\)

3) probability of students who curry other weapon

P (C) = \(\frac{n (C) }{n (AUBUC)}\)

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\) x 100%

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Answer:  2: an equation in the form y = mx + b

1. An x/y table may have two entries with the same x; not a function in that case.

2.  That's a line with a slope; for each x there's a single y, definitely a function

3.  Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.

4. List of numbers  -- a list isn't a function, at least not without more context

The angles made by vector a with the positive x-axis, positive y-axis, and positive z-axis are denoted by a, β, and y respectively. To find the sum of these angles, we need to calculate a + β + y.

First, let's find the values of a, β, and y using the given vector a = [-3, 5, -4].

The angle a makes with the positive x-axis can be found using the arctan function. We have a = [-3, 5, -4], so the x-component is -3 and the y-component is 5. Therefore, a = arctan(5 / -3) ≈ -59.04°.

Similarly, the angle a makes with the positive y-axis can be found using the arctan function. We have a = [-3, 5, -4], so the x-component is -3 and the z-component is -4. Therefore, β = arctan(-4 / -3) ≈ 53.13°.

Finally, the angle a makes with the positive z-axis can be found using the arccos function. We have a = [-3, 5, -4], so the y-component is 5 and the magnitude of vector a is √((-3)^2 + 5^2 + (-4)^2) = √50. Therefore, y = arccos(5 / √50) ≈ 34.74°.

Now we can find the sum of these angles: a + β + y ≈ -59.04° + 53.13° + 34.74° ≈ 28.83°.

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Answer:

what-

Step-by-step explanation:

Step-by-step explanation:

(7*2 +7)-4+62

21-4+16

37-4

33

The required solutions of the situation of the function are  x = 3/4  or x = -1/4.

A unique connection where each input only produces one output. A common notation for it is "f(x)," where x denotes the input value. as in f(x) = x/2 ("f of x equals x divided by 2") Since there is only one output ("x/2") for each input ("x"), it is a function: • f(2) = 1.

We have,

f(x)=2x-1

g(x)=3/8x

To find the value of x for f(x) = g(x).

f(x) = g(x)

2x-1 = 3/8x

16x² - 8x = 3

16x² - 8x - 3 = 0

16x² - 12x + 4x - 3 = 0

4x(4x - 3) + (4x - 3) = 0

(4x - 3)(4x + 1) = 0

x = 3/4  or x = -1/4

Thus, required solution are  x = 3/4  or x = -1/4.

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The ideals (x), (y), and (x, y) in q[x, y] are prime. The proof involves showing that the quotient ring q[x, y]/(x), q[x, y]/(y), and q[x, y]/(x, y) are integral domains, which indicates that the ideals are prime.

To prove that the ideals (x), (y), and (x, y) are prime in q[x, y], we consider the quotient rings q[x, y]/(x), q[x, y]/(y), and q[x, y]/(x, y).

For each quotient ring, we need to show that it is an integral domain, meaning it has no zero divisors. This can be done by verifying that any nonzero elements in the quotient rings cannot multiply to give zero.

In the case of q[x, y]/(x), any nonzero element in the form f(x, y) + (x) where f(x, y) is not divisible by x, cannot multiply with another nonzero element to give zero.

Similarly, in q[x, y]/(y) and q[x, y]/(x, y), nonzero elements in the respective forms f(x, y) + (y) and f(x, y) + (x, y) where f(x, y) is not divisible by y or (x, y) respectively, cannot multiply to give zero.

Since all three quotient rings are integral domains, the ideals (x), (y), and (x, y) are prime in q[x, y].

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Answer:

m<MLN =118°

Step-by-step explanation:

Because m<HIL and m<KLI are corresponding angles (equal)

and m<MLN am m<KLI are vertically opposite angles (equal)

Answer:

15 ft

Step-by-step explanation:

60 divide by 40 equal 1.5

1.5 x 10 = 15

Answer:

a ) -1

Step-by-step explanation:

\(\frac{1}{64} = 4^{2s-1} . 16^{2s+2}\\ 4^{-3} = 4^{2s-1+4s+4}\\ 4^{-3} = 4^{6s+3}\\ 6s + 3 = -3\\6s = -6\\s = -1\)

Answer:

mean=85

median=84

mode=80

range=17

Step-by-step explanation:

How to Find the Mean

How to Find the Median

How to Find the Mode

How to Find the Range

Answer:

Length = 65 m

Width = 23 m

Step-by-step explanation:

Width = w

Length = 3w - 4

Perimeter of rectangle = 176 m

2*(length + width) = 176

2*( 3w - 4 + w ) = 176

2* ( 4w - 4) = 176

2*4w - 2*4 = 176

      8w - 8 = 176    { add 8 to both sides}

           8w = 176 +8

           8w = 184

        8w/8 = 184/8

              w = 23 m

Length = 3w - 4

            = 3*23 - 4

            = 69 - 4

Length = 65 m

Answer:the ANS to 4 significant figures is 51.92

Step-by-step explanation:u first find the area of the whole chord which is 150 divided by 360 multiplied by the π × 7^2 subtracted from the area of The triangle by doing 1/2×7×7sin150. I hope it helps

Answer:

102.0

Step-by-step explanation:

First find just the area of the shaded minus the triangle 210/360Xπ7²

89.7966...

Then figure out your triangle 1/2(7)(7sin150) 12.25...

add the two together to get the shaded area 89.7966+12.25

102.0cm²

Answer: 7,246,081

Just the number in it’s whole form.