What is the set of integers

The mean for the number of people with the genetic mutation in a group of 800 is approximately 116.

For the mean for the number of people with the genetic mutation in groups of 800, we can multiply the proportion of the population with the mutation by the total number of people in each group.

We know that about 14.5% of the population has the genetic mutation, we can express this as a proportion by dividing 14.5 by 100: 0.145.

Next, we multiply this proportion by the total number of people in each group (800) to find the expected number of people with the genetic mutation in a group of 800:

Mean = Proportion × Total number of people

     = 0.145 × 800

     ≈ 116

Therefore, the mean for the number of people with the genetic mutation in a group of 800 is approximately 116.

This means that, on average, we would expect about 116 out of the 800 people randomly selected to have the genetic mutation where each eye has a different color.

However, it's important to note that this is an expected value and the actual number may vary in each group due to randomness.

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He needs to make 1 and a half trips to the well to fill the barrel which has a height of 15 inches and  radius 10 inches.

A cuboid is a three-dimensional geometric shape that has six rectangular faces, three of which meet at each corner. A cuboid has three dimensions: length, width, and height. It is also commonly referred to as a rectangular prism. The formula for the volume of cuboid is \(V = l *w * h\), where l is the length, w is the width, and h is the height. The formula for the surface area of a cuboid is \(2lw + 2lh + 2wh\). Cuboids are used in everyday life such as building blocks and package boxes.

The cylindrical barrel has a volume of \(\pi * r^2 * h = \pi * 10^2 * 15 = 1500\pi\) cubic inches.

The hemisphere has a volume of \((2/3) * \pi * r^3 = (2/3) * \pi * 10^3 = (2000/3)\pi\) cubic inches.

So, to fill the barrel, Brad must make \(1500\pi / (2000/3)\pi = 3/2 = 1.5\) trips to the well.

In other words, he needs to make 1 and a half trips to the well to fill the barrel.

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Answer:

9

Step-by-step explanation:

Since Area = L × W

Thus,

Area = (x + 2)(2x - 5) = 56

x^2 +4x - 5x - 10 = 56

x^2 - x - 10 = 56

x^2 - x - 66

Using the quadratic formula:

a = 1

b = - 1

c = - 66

Solving:

\(\frac{x = (-b) +/- sqrt(b^2 - 4ac)}{2a}\)

\(\frac{x = 1 + /- sqrt(1^2 - 4(1)(-66)}{2(1)}\)

\(\frac{1 +/- sqrt (265)}{2}\)

17.279/2

8.639

Round = 9

~Lenvy~

Answer:jac ganko

Step-by-step explanation:

The perimeter of the new rectangle is given by the expression 2l + 4b - 40 cm.

Given that a rectangle is of length l​ cm and breadth b​ cm.

The length of the rectangle is decreased by 10​ cm, therefore the new length of the rectangle = l - 10 cm.

The breadth is doubled, therefore the new breadth of the rectangle = 2b cm.

The perimeter of the rectangle is given by;

Perimeter = 2(l+b)

Let's substitute l - 10 for the new length and 2b for the new breadth to get;

Perimeter = 2(l-10+2b)

Perimeter = 2(l+2b-20)

Perimeter = 2l+4b-40

Therefore the perimeter of the new rectangle is 2l + 4b - 40.

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Answer:

hi...... hello.. m...... n. b

Answer:

2,4

Step-by-step explanation:

median=3

minimum is 2

first no. is 2

second no. is 4

Answer:

D. 16 square cm

Step-by-step explanation:

To solve this problem, we will have to look at the Scale factor.

1 : 8 =  1 cm (in the scale drawing) = 8cm (in the real object)

Since the area of the scale drawing is 2 cm, the equation will be 2 x 8 = 16.

Therefore, 16 will be the area of the real object.

-kiniwih426

Answer:

5 and -6

Step-by-step explanation:

Answer:

5 and -6

Explanation:

\(xy = - 30 \\ x + y = - 1\)

and you solve using the substition method

You can use either a numerical (integer or floating-point) variable or a Boolean variable to store the value of a logical expression.

Numerical Variable: You can use a numerical variable, such as an integer or floating-point variable, to store the result of a logical expression. In this case, the logical expression would be evaluated and assigned a numerical value, typically 0 or 1, representing false or true, respectively. For example, if you have a logical expression "x > 5", you can assign the result to a numerical variable like "result = (x > 5)", where the value of "result" would be 0 if the expression is false and 1 if it is true.

Boolean Variable: Alternatively, you can use a Boolean variable to directly store the truth value of a logical expression. A Boolean variable can only have two possible values: true or false. In this case, the logical expression would be evaluated and directly assigned to the Boolean variable. For example, if you have a logical expression "x > 5", you can assign the result to a Boolean variable like "isGreaterThanFive = (x > 5)", where "isGreaterThanFive" would be true if the expression is true and false if it is false.

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Answer:

$30.31

Step-by-step explanation:

In order to find the answer, you would need to add $23.66 plus $6.65.

Hope this helps and pls do mark me brainliest if you can:)

I would have to say $30.31 because you would add both those together!!!

Answer:

see explanation

Step-by-step explanation:

given the system of equations

x + 3y = 76 → (1)

x + y = 36 → (2)

1

subtracting (2) from (1) term by term will eliminate x

(x - x) + (3y - y) = 76 - 36

0 + 2y = 40

2y = 40 ( divide both sides by 2 )

y = 20

3

substitute y = 20 into either of the 2 equations and solve for x

substituting into (2)

x + 20 = 36 ( subtract 20 from both sides )

x = 16

4

that is 16 students bought orange juice and 20 bought a sandwich

As a check

substitute the values for x and y into the equations and if both sides are equal then they are the solution

(1) :  16 + 3(20) = 16 + 60 = 76 ← True

(2) : 16 + 20 = 36 ← True

since both equations are true, then

x = 16 and y = 20 are the solutions to the system

The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

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When two opposite sides of a rectangle increase in length, the other two opposite sides decrease in length if the area of the rectangle is to remain constant. Thus, option (B) is the correct answer.

How do I find the length of opposite sides of a rectangle?

In a rectangle, the opposite sides are of equal length. As a result, if you have the length of one side of a rectangle, you can find the length of the opposite side. Furthermore, if you know the length and width of a rectangle, you can find the area, perimeter, and diagonal of the rectangle.

The area of a rectangle is given by A = l × w,

where A represents the area, l represents the length, and w represents the width.

To find the length and width of a rectangle, use the formula A = l × w.

If you know the length of one side of a rectangle, you can calculate the length of the opposite side because the opposite sides of a rectangle are equal in length.

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Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

26

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

answer it answer it it

answer it answer it it

Answer:

the answer is answer i hope u have a great day

(if u apricate me giive me a brainly by pressing the crown and giving me a heart)  THANKS!!!

Step-by-step explanation:

Answer: 13. 30

Step-by-step explanation:

13. Area = 18x * 10y = 180xy

Length = 6th

With ?

180xy = 6xy x width

180 x/6xy

Width = 30

14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver

3^5

The probability of getting 15 or more heads using the principle of binomial probability is 0.5722

When a fair coin, the probability of getting a head is always :

Using the concept of Binomial probability :

n= number of trials = 30

k = number of success = 15

Substituting the values into the formula:

P(X = 15 or more) = P(X = 15) + P(X = 16) +...+P(X=30)

Using a binomial probability calculator:

Hence , the probability of having 15 or more heads is 0.5772.

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\( \purple{ \huge{ \tt{ \: ✨ Answer ✨ \: }}}\)

\(The \: \: answer \: \: is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: c. \: \frac{2}{7} \: \: }}}} }\)

To convert a decimal number to binary, you can divide the number by 2 repeatedly and keep track of the remainder until the quotient becomes 0.

The remainders, read from bottom to top, will give you the binary representation of the decimal number.

Alternatively, you can use a calculator or programming language to perform the conversion.It's important to note that for a decimal number to be converted to binary you must divide the number by 2 repeatedly and keep track of the remainder until the quotient becomes 0.

The remainders when read bottom to top will give you the binary representation of the decimal number.Another way is to use the built-in function of some programming languages or calculator.

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Answer:

1. positive

2. negative

3. null

Step-by-step explanation:

I looked up "all types of scatterplots and looked at which ones were on the screen

The standard deduction for a married couple filing a joint return in 2021 is $25,100.

The standard deduction is a fixed amount that reduces the taxable income of individuals or couples without the need for itemizing specific deductions. In the case of a married couple filing a joint return, the standard deduction is typically higher than that for individuals.

For the year 2021, the standard deduction for a married couple filing jointly is $25,100. This means that the Gobles, being a married couple filing a joint return, can deduct $25,100 from their taxable income before calculating their tax liability.

The fact that Todd is legally blind does not affect the standard deduction amount for a married couple filing jointly. However, it is worth noting that individuals who are blind or over the age of 65 may qualify for additional standard deduction amounts or other tax benefits. These additional deductions or benefits would be separate from the standard deduction and may vary based on specific criteria and regulations set by the tax authorities.

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Answer:

6m + 3n.

Step-by-step explanation:

The area of a trapezoid = h/2 (a + b), where h = altitude  and a and b are the lengths of the opposite parallel sides.

So here:

h =  6, a =  m and b = m+n.

So area =  6/2(m + m + n)

= 6/2(2m + n)

= 3(2m + n)

= 6m + 3n.

1. x/(x - 5) = 4/(x - 4)

x (x - 4) / ((x - 5) (x - 4)) = 4 (x - 5) / ((x - 5) (x - 4))

x (x - 4) = 4 (x - 5)

x² - 4x = 4x - 20

x² - 8x = -20

Solving for x by completing the square gives

x² - 8x + 16 = -4

(x - 4)² = -4

x - 4 = ± 2i

x = 4 + 2i   or   x = 4 - 2i

2. Since -7 + 2i and -7 - 2i are roots of the given quadratic, we have

z² + bz + c = (z - (-7 + 2i)) (z - (-7 - 2i))

z² + bz + c = (z + (7 - 2i)) (z + (7 + 2i))

z² + bz + c = z² + ((7 - 2i) + (7 + 2i)) z + (7 - 2i) (7 + 2i)

z² + bz + c = z² + 14z + 53

so that b = 14 and c = 53, which makes b + c = 67.

3. If x + y = 4, then

x³ + y³ = 100

x³ + (4 - x)³ = 100

x³ + (64 - 48x + 12x² - x³) = 100

12x² - 48x + 64 = 100

12x² - 48x = 36

x² - 4x = 3

and by completing the square,

x² - 4x + 4 = 7

(x - 2)² = 7

x - 2 = ± 7

x = 2 + 7   or   x = 2 - 7

x = 9   or   x = -5

If x = 9, then y = -5, so one pair of solutions would be (x, y) = (9, -5).

Answer:

Step-by-step explanation:

24 ) Before, so -5 sec

25) after. So,  + 5 sec

26) + 50 c

27) -50 c

28) - 1 min

29)  + $ 50

30)  - $ 5

31)  +5

32) - 5

The angle with sides 5, 9 and 10 is an obtuse triangle

This is a type of angle in which the angles are less than 180 degrees but less than 180 degrees.

In this case, we can easily determine if it's an obtuse angle.

Assuming the longest side is 10 units, the sum of it's two other sides must be greater than it's longest side which is supposedly the hypothenuse.

5 + 9 = 14

14 > 10

This indicates that the triangle is an obtuse triangle.

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The angle θ lies in Quadrant II.

To determine the quadrant in which θ lies, we need to analyze the signs of the trigonometric functions csc(θ) and cot(θ). The cosecant function (csc) is defined as the reciprocal of the sine function (sin), and the cotangent function (cot) is defined as the reciprocal of the tangent function (tan).

Since csc(θ) is negative, it means that the sine function (sin) is negative in Quadrant II and Quadrant III. However, since cot(θ) is also negative, it implies that the tangent function (tan) is negative in Quadrant II only.

In Quadrant II, both sine (sin) and tangent (tan) are negative, which satisfies the given conditions. In contrast, in Quadrant III, the sine function (sin) is negative but the tangent function (tan) is positive. Therefore, the angle θ must lie in Quadrant II, where both csc(θ) and cot(θ) are negative.

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Answer: £18.26

Step-by-step explanation:

From the question, we are given the exchange rate £1 = €1.12, To calculate how many £ are in €20.45, we have to divide 20.45 by 1.12 since £1 = €1.12.

This will be:

= 20.45 / 1.12

= £18.26

Therefore, the answer is £18.26