There are 6 fiction books and 8 nonfiction books on a reading list. Your teacher randomly assigns you 4 books to read over summer. What is the probability that you are assigned all nonfiction books?

Answer:

[tex]z = 3 + i[/tex] is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].

Step-by-step explanation:

A complex number comprehends all numbers of the form:

[tex]z = a+i\cdot b[/tex], [tex]\forall \,a,b\in \mathbb{R}[/tex]

Where [tex]i = \sqrt{-1}[/tex].

In other words, complex numbers are an extension of real numbers.

There is the following classification depending on what values of [tex]a[/tex] and [tex]b[/tex] exist:

Real - [tex]a \in \mathbb{R}[/tex], [tex]b = 0[/tex]

Complex - [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex]  

Pure imaginary - [tex]a = 0[/tex], [tex]b \neq 0[/tex] (The term "nonreal complex" is a synonym for pure imaginary complex)

Let be [tex]z = 3 + i[/tex], which is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].

The number contains both real and imaginary parts, hence it is classified as a complex number.

Complex numbers are square roots of negative numbers. They are represented using the letter "i".

Complex number is expressed as z = x + iy where:

Given the value 3+i, since the number contains both real and imaginary parts, hence it is classified as a complex number.

Learn more on imaginary axis here: https://brainly.com/question/1142831

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

ABO blood type is examined in a Taiwanese population, nad the allele frequencies are determined. In the population, f(IA)=0.3, f(IB)=0.15 and f(i)=0.55.

Part A: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAIA? Enter your answer to two decimal places.

Part B: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IBIB? Enter your answer to four decimal places.

Part C: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAIB? Enter your answer to two decimal places.

Part D: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAi? Enter your answer to two decimal places.

Part E: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IBi? Enter your answer to three decimal places.

Part F: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype ii? Enter your answer to four decimal places.

Part G: What is the frequency of type A blood in this population? Enter your answer to two decimal places.

Part H: What is the frequency of type B blood in this population? Enter your answer to four decimal places.

Part I: What is the frequency of type AB blood in this population? Enter your answer to two decimal places.

Part J: What is the frequency of type O blood in this population? Enter your answer to four decimal places.

Answer: Part A: f(IAIA) = 0.09

              Part B: f(IBIB) = 0.0225

              Part C: f(IAIB) = 0.05

              Part D: f(IAi) = 0.16

              Part E: f(IBi) = 0.082

              Part F: f(ii) = 0.3025

              Part G: f(type A) = 0.25

              Part H: f(type B) = 0.1050

              Part I: f(type AB) = 0.05

              Part J: f(type O) = 0.3025

Step-by-step explanation: A population in Hardy-Weinberg equilibrium is a population with a constant value in the population's allele frequency.

In the population of Taiwan, frequencies are:

A: Frequency for genotype IAIA: Frequency of allele A is 0.3, then for genotype IAIA:

f(IAIA) = 0.3²

f(IAIA) = 0.09

B: Frequency of allele B is 0.15. Then, for genotype IBIB:

f(IBIB) = 0.15²

f(IBIB) = 0.0225

C: Frequency for genotype IAIB:

f(IAIB) = 0.3*0.15

f(IAIB) = 0.05

D: Frequency for genotype IAi:

f(IAi) = 0.3*0.55

f(IAi) = 0.16

E: frequency for genotype IBi:

f(IBi) = 0.15*0.55

f(IBi) = 0.082

F: frequency for allele i is 0.55. Then, for genotype ii:

f(ii) = 0.55²

f(ii) = 0.3025

Individuals with type A blood can be IAIA or IAi. Using probability's "OR" rule:

f(type A) = 0.09 + 0.165

f(type A) = 0.25

The same happens to individual with type B blood:

f(type B) = 0.0225 + 0.0825

f(type B) = 0.105

Since blood type is a codominance, i.e., allele A and allele B are expressed, frequency of type AB is equal to frequency of genotype AB:

f(type AB) = 0.3*0.15

f(type AB) = 0.05

Frequency for type O is:

f(type O) = 0.55²

f(type O) = 0.3025

Answer:

Step-by-step explanation:

2x - 3y = - 1 ………… Equation 1

y = x - 1 ….……….… Equation 2

To solve using substitution , substitute equation 2 into equation 1

That's

2x - 3( x - 1) = - 1

2x - 3x + 3 = - 1

- x = - 1 - 3

- x = - 4

Multiply through by - 1

We have

Substitute x = 4 , into y = x - 1

We have

y = 4 - 1

y = 3

We have the answers as

x = 4

y = 3

Hope this helps you

Answer:

d. Name a ray with endpoint E that is an opposite ray of . Solution a

Answer:

1382.68

Step-by-step explanation:

not sure if im right

Answer:

Step-by-step explanation:

I got it right on edgenuity

Answer:

y/6 + 2x

Step-by-step explanation:

To write this expression, let's take it step by step.

The quotient of some number y and 6 implies that 6 divides y:

y/6

Increased by the product of 2 and some number x implies that the previous expression is summed with 2x:

y/6 + 2x

Hence, our final expression is as such:

y/6 + 2x

Cheers.

The solution is A = y/6 + 2x

The expression quotient of some number y and 6 increased by the product of 2 and some number x is given by the equation A = y/6 + 2x

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

Quotient of some number y and 6

Substituting the values in the equation , we get

Quotient of some number y and 6 = y/6

And ,

Product of 2 and some number x

Substituting the values in the equation , we get

Product of 2 and some number x = 2x

Now , the expression is

Quotient of some number y and 6 increased by Product of 2 and some number x

So , the equation will be

A = y/6 + 2x

Therefore , the value of A is y/6 + 2x

Hence , the value of the equation is A = y/6 + 2x

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

It is Positive,Negative,Positive after solving each of them

Answer:

200 divided by 20 is 10

Step-by-step explanation:

Answer: 10

just divide 20 into 200 :)

200/20=10

Answer:

personal budget

Step-by-step explanation:

Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.

The expression is 7 * 5 + 288/18.

The statement is given as:

Add the product of 7 and 5 to the quotient of 288 and 18.​

Add means +.

So, we have:

The product of 7 and 5 + The quotient of 288 and 18.​

Product means *

So, we have:

7 * 5 + The quotient of 288 and 18.​

Quotient means /.

So, we have:

7 * 5 + 288/18.

Hence, the expression is 7 * 5 + 288/18.

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

Answer:

aₙ = n²

Step-by-step explanation:

Given sequence:

Or

So the nth term is:

Answer:

a turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than 79.37 % of them.

The  average height for turkeys at the 90th percentile for weight is 34.554

Of the turkeys at the 90th percentile for weight, roughly the percentage that  would  be taller than 28 inches 79.37%

Step-by-step explanation:

Given that:

For a population of turkeys at a farm, the correlation found between the weights and heights of turkeys is r = 0.64

the average weight in pounds [tex]\overline x[/tex] = 17

the standard deviation of the weight in pounds [tex]S_x[/tex] = 5

the average height in inches [tex]\overline y[/tex] = 28

the standard deviation of the height in inches [tex]S_y[/tex] = 8

Also, given that the weight and height both roughly follow the normal curve

For this study , the slope of the regression line can be expressed as :

[tex]\beta_1 = r \times ( \dfrac{S_y}{S_x})[/tex]

[tex]\beta_1 = 0.64 \times ( \dfrac{8}{5})[/tex]

[tex]\beta_1 = 0.64 \times 1.6[/tex]

[tex]\beta_1 = 1.024[/tex]

To the intercept of the regression line, we have the following equation

[tex]\beta_o = \overline y - \beta_1 \overline x[/tex]

replacing the values:

[tex]\beta_o = 28 -(1.024)(17)[/tex]

[tex]\beta_o = 28 -17.408[/tex]

[tex]\beta_o = 10.592[/tex]

However, the regression line needed for this study can be computed as:

[tex]\hat Y = \beta_o + \beta_1 X[/tex]

[tex]\hat Y = 10.592 + 1.024 X[/tex]

Recall that;

both the weight and height roughly follow the normal curve

As such, the weight related to 90th percentile can be determined as shown below.

Using the Excel Function at 90th percentile, which can be computed as:

(=Normsinv (0.90) ; we have the desired value of 1.28

∴

[tex]\dfrac{X - \overline x}{s_x } = 1.28[/tex]

[tex]\dfrac{X - 17}{5} = 1.28[/tex]

[tex]X - 17 = 6.4[/tex]

X = 6.4 + 17

X = 23.4

The predicted height [tex]\hat Y = 10.592 + 1.024 X[/tex]

where; X = 23.4

[tex]\hat Y = 10.592 + 1.024 (23.4)[/tex]

[tex]\hat Y = 10.592 + 23.9616[/tex]

[tex]\hat Y = 34.5536[/tex]

Now; the probability of predicted height less than 34.5536 can be computed as:

[tex]P(Y < 34.5536) = P( \dfrac{Y - \overline y }{S_y} < \dfrac{34.5536-28}{8})[/tex]

[tex]P(Y < 34.5536) = P(Z< \dfrac{6.5536}{8})[/tex]

[tex]P(Y < 34.5536) = P(Z< 0.8192)[/tex]

From the Z tables;

P(Y < 34.5536) =0.7937

Hence,  a turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than 79.37 % of them.

The  average height for turkeys at the 90th percentile for weight is :

[tex]\hat Y = 10.592 + 1.024 X[/tex]

where; X = 23.4

[tex]\hat Y = 10.592 + 1.024 (23.4)[/tex]

[tex]\hat Y = 10.592 + 23.962[/tex]

[tex]\mathbf{\hat Y = 34.554}[/tex]

Of the turkeys at the 90th percentile for weight, roughly what percent would you estimate to be taller than 28 inches?

i.e

P(Y >28) = 1 - P (Y< 28)

[tex]P(Y >28) = 1 - P( Z < \dfrac{28 - 34.554}{8})[/tex]

[tex]P(Y >28) = 1 - P( Z < \dfrac{-6.554}{8})[/tex]

[tex]P(Y >28) = 1 - P( Z < -0.8193)[/tex]

From the Z tables,

[tex]P(Y >28) = 1 - 0.2063[/tex]

[tex]\mathbf{P(Y >28) = 0.7937}[/tex]

= 79.37%

Answer:

49/40

Step-by-step explanation:

By using the LCD method 49/40 is the equivalent fraction by adding 5/8 and 3/5 your welcome

Answer:

5/8 + 3/5 = 49/40

Step-by-step explanation:

(5 x 40)/(8 x 40)

(3 x 40)/(5 x 40)

25/40

24/40

25 + 24/40

Answer:

[tex]\sqrt[5]{27}[/tex]

Step-by-step explanation:

a¹/ᵇ = [tex]\sqrt[b]{a}[/tex]

Radical expression of 27 ⅕ is

Answer:

Step-by-step explanation:

g(2) = -2(2) = -4

f(-4) = 3 + 4 = 7

Answer:

Step-by-step explanation:

so first you need to make a equation

since we are trying to find out the amount of rides we can make that stand for x so..

we can first write it as 2.50x

(x = the numbers of rides)

since the entree fee is 17 dollars but they are two kids we have to times 17 by 2 giving us 34 we can add 34 dollars to the equation

34 + 2.50x

alex and kendra have only $51.50 dollars and they cant spend more then that so that means the whole equation has to equal $51.50

34 + 2.50x = 51.50

since we are trying to find the number of rides we can subtract 34 on both sides giving us

2.50x = 51.50 - 34

2.50x = 17.50

then we solve for x which you can divde 2.50 on both sides

x = 17.50 /2.50

x = 7

Answer: I’m super confused too! Im stuck on the people too, I been trying to find some help.

Step-by-step explanation:

Answer:

54 cm

Step-by-step explanation: 1/2b x h

1/2(18) x 6

9 x 6=54

Answer:

900

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is given by the formula:

[tex]S=(n-2)180[/tex]

The polygon given has 7 sides. Substitute 7 for n. Thus:

[tex]S=(7-2)180\\S=5(180)\\S=900[/tex]

The sum of the interior angles is 900 degrees.

Sorry for the confusion, redoing my answer for you!

Using the points (9/2,1), (-7/2,7)

m=y2−y1 over x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=7−(1)  over  −72−(92)

simplify

m=−3/4

Use the slope −3/4 and a given point (9/2,1) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1)

y−(1)=−3/4⋅(x−(9/2))

Rewrite in y=mx+b

solve for y

y=−3x/4+35/8

ill use desmos to graph (y=−3x/4+35/8)

Both values are approximate, rounded to 3 decimal places.

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

Explanation:

I'm assuming you meant to say 16:9 instead of 16:97

The ratio 16:9 means that the horizontal width is 16x units and the height is 9x units. They form the ratio 16x:9x which reduces to 16:9

She wants the tv to be the same size as her old one, so the new tv will also have a diagonal of 42 inches (tv sizes are measured by the length of the diagonal).

Through the pythagorean theorem, we can say

a^2+b^2 = c^2

(16x)^2 + (9x)^2 = (42)^2

256x^2 + 81x^2 = 1764

337x^2 = 1764

x^2 = 1764/337

x^2 = 5.23442136498517 approximately

x = sqrt(5.23442136498517)

x = 2.28788578495194

x = 2.288

--------

This means the dimensions would be

width = 16x = 16*2.288 = 36.608 inches

height = 9x = 9*2.288 = 20.592 inches

both are approximate

Answer:

4x^2+12x+9

Step-by-step explanation:

(2x+3)(2x+3)

Multiply 2x by 2x first.

then 2x by 3

and then repeat that step and you add like terms

then recieve your answer.

Answer:

4x^2 + 12x + 9

Step-by-step explanation:

Actually, you are to find (2x + 3)^2, which is "the square of 2x + 3."

2x + 3 is a binomial.  There is a formula for the square of a binomial:

(a + b)^2 = a^2 + 2ab + b^2

Following this pattern,

(2x + 3)^2 becomes:

[2x]^2 + 2[2x][3] + [3^2], or

4x^2 + 12x + 9

Answer:the hypotenuse,or lenght of the ladder,

; 12.37 ft

Step-by-step explanation:

I just took the assignment

Answer:

Answer:Q: What is the unknown information that could be found using the Pythagorean theorem?

A: The hypotenuse, or the length of the ladder.

Q: what is the approximate length of the ladder needed, rounding to the nearest hundredth?

A: 12.37 ft.

Step-by-step explanation:

The answer to the question is 3

Answer: D

Step-by-step explanation:

sub to my yt clizey

Answer:

62.93%

Step-by-step explanation:

Z score is a score used in statistics to measure by how many standard deviations that the raw score is above or below the mean. A positive z score means the raw score is above the mean and a negative z score means the raw score is below the mean. The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that:

Mean (μ) = 30.05 inches, standard deviation (σ) = 0.3 inches

For x > 29.95

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{29.95-30.05}{0.3} =-0.33[/tex]

From the normal distribution table, P(x > 29.95) = P(z > -0.33) = 1 - P(z < 0.33) = 1 -  0.3707 = 0.6293 = 62.93%

Answer: -0.05 mg/cc*h

Step-by-step explanation:

Here we have the relation:

ConcentrationVsTime.

If we want to find the average rate of change, we can find the slope of a line that passes through the extremes of each interval: (tmin, Cmin) and (tmax, Cmax)

The interval for the time is:

0h to 12h.

The interval for the concentration is:

0.7 mg/cc to 0.1mg/cc.

Then we can use the points:

(0h, 0.7mg/cc) and (12h, 0.1mg/cc)

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then in this case the slope (or rate of change) is:

a = (0.1mg/cc - 0.7mg/cc)/(12h - 0h) = (-0.6mm/cc)/12h = -0.05 mg/cc*h

Answer:

The correct form of 519,742 in words

=Five hundred nineteen thousand, seven hundred forty-two

Step-by-step explanation:

The number = 519,742

What Sarina write as the word form

=Five hundred ninety thousand, seven hundred fforty-two

Translation of what sarina wrote in numbers= 590,742

So the mistake is that she wrote Five hundred ninety instead of five hundred and nineteen

The correct form of 519,742 in words

=Five hundred nineteen thousand, seven hundred fforty-two

Answer:

[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }[/tex]

Where [tex]\frac{dx}{dt}[/tex] and [tex]\frac{dy}{dt}[/tex] are the first derivatives of [tex]x[/tex] and [tex]y[/tex] regarding [tex]t[/tex]. Let be [tex]x(t) =2\cdot \cos t[/tex] and [tex]y(t) = 8\cdot \sin t[/tex], their first derivatives are found:

[tex]\frac{dx}{dt} = -2\cdot \sin t[/tex] and [tex]\frac{dy}{dt} = 8\cdot \cos t[/tex]

Thus, equation for the slope is:

[tex]\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}[/tex]

[tex]\frac{dy}{dx} = -\frac{4}{\tan t}[/tex]

If [tex]\frac{dy}{dx} = -1[/tex], then:

[tex]-1 = -\frac{4}{\tan t}[/tex]

[tex]\tan t = 4[/tex]

Tangent is positive at 1st quadrant and is a function with a periodicity of [tex]\pi[/tex], the set of solutions are:

[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]