A farmer harvests 850kg of parsnips. 30% go to the local market and 50% go to a local supermarket. What mass of parsnips are left?

A LOD score is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10. This measure is commonly used in linkage analysis, a statistical method used to determine whether genes are located on the same chromosome and thus tend to be inherited together.

In linkage analysis, the LOD score is used to determine the likelihood that two genes are linked, based on the observation of familial inheritance patterns. A LOD score of 3 or higher is generally considered to be strong evidence for linkage, indicating that the likelihood of observing the observed inheritance pattern by chance is less than 1 in 1000.

The LOD score is also used to estimate the distance between two linked genes, with higher LOD scores indicating that the two genes are closer together on the chromosome. In general, the LOD score is a useful tool for identifying genetic loci that contribute to complex diseases or traits.

To know more about chromosome visit:

https://brainly.com/question/30077641

#SPJ11

Answer:

divide -11 to -11 (-11/-11)

Step-by-step explanation:

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Answer:

D

Step-by-step explanation:

The sum of 1.56 + 0.73 is 2.29, which rounds to 2.3

The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

 To learn more about deviation click here:brainly.com/question/31835352

#SPJ11

We need SAS congruency to prove ΔABC ≅ Δdef.

We say that triangle ABC is congruent to triangle DEF if,

AB = DE

BC = EF

CA = FD

∠A = ∠D

∠B = ∠E

∠C = ∠F.

SSS postulate states that, if three sides in one triangle are congruent to three sides of a second triangle, then the triangles are congruent

According to SAS congrurncy criteria, two triangles ABC and DEF are congruent, if

AB = DE

∠B = ∠E

BC = EF.

It is important that the angles which are equal should be the included angles. In this case, the included angles were ∠B and ∠E. The same would hold true if the included angles were different, such as ∠A and ∠D.

To know more about triangle here

https://brainly.com/question/11755507    

#SPJ4

Answer:

55

Step-by-step explanation:

Angle C = Angle D (Corresponding Angles)

Therefore, BD//AC

Angle A = Angle B (Corresponding Angles)

=>6x-15=5x-1

=>6x-5x=-1+15

=>x=14

Angle B=5x-1

            =5(14)-1

            =70-1

            =69

Angle D=4x

            =4(14)

            =56

Angle E=180-(Angle D+ Angle B)          [Angle Sum Property]

            =180-(69+56)

            =180-125

            =55

Answer:

25/100×18

=1/4×18

=4.5

The question is incomplete. Here is teh complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomail or trinomial.

1. \(7ab+6b^{2}-2a^{3}\)

2. \(2y-5+3y^{2}\)

3. \(3x^{2}\)

4. \(\frac{4m}{3p}\)

5. \(5m^{2}p^{3}+6\)

6. \(5q^{-4}+6q\)

Answer and Step-by-step explanation: The definition of polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication and division.

However, there are exceptions:

The degree of a polynomial is the highest exponent of that variable. For example for polynomial \(3x^5+6x-5x^{2}\) , the degree is 5.

Polynomials have 3 different types:

Now, analysing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, its a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it's a binomial.

6. It is not a polynomial due to the exponent being negative.

Answer:

The question is incomplete. Here is the complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial or trinomial.

1.

2.

3.

4.

5.

6.

Answer and Step-by-step explanation: The definition of a polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication, and division.

However, there are exceptions:

Polynomial don't have negative exponent;

Polynomial cannot be divided by a variable;

Variable cannot be inside a radical;

The degree of a polynomial is the highest exponent of that variable. For example for polynomial, the degree is 5.

Polynomials have 3 different types:

monomial: only has one term;

binomial: has 2 terms;

trinomial: has 3 terms;

Now, analyzing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, it's a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it's a binomial.

6. It is not a polynomial due to the exponent being negative.

The option that will give you the most money after 2 years is option (a)

Option (a)

Here, we have

Principal, P = $1000

Rate, r = 12% = 0.12

Number of times, n = 4

Time, t = 2

The formula of amount is

A = P * (1 + r/n)^(nt)

So, we have

A = 1000 * (1 + (0.12/4))^(4 *2)

A = 1266.77

Option (b)

Here, we have

Principal, P = $1000

Rate, r = 6% = 0.06

Time, t = 2

The formula of amount is

A = P * e^(rt)

So, we have

A = 1000 * e^(0.06 * 2)

A = 1127.50

1266.77 is greater than 1127.50

Hence, the option is option (a)

Read more about compound interest at

https://brainly.com/question/24924853

#SP{J1

Answer:

kg

Step-by-step explanation:

1pound is 0.45kg

Answer:

Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:

The observer on Earth would observe the rocket to be moving at a speed of approximately 0.76 times the speed of light (c).

According to the theory of special relativity, the observed speed of an object moving relative to an observer depends on their relative velocities. In this scenario, as Spaceship 1 moves away from Earth, it fires a rocket toward Earth with a velocity of 0.30c relative to itself.

To determine the observed speed of the rocket from the perspective of an observer on Earth, we need to apply the relativistic velocity addition formula. This formula accounts for the relativistic effects of time dilation and length contraction.

The relativistic velocity addition formula is:

v_observed = (v1 + v2) / (1 + (v1*v2)/c^2)

In this case, v1 represents the velocity of Spaceship 1 relative to Earth (which is the speed at which it is moving away from Earth), and v2 represents the velocity of the rocket relative to Spaceship 1.

Let's assume Spaceship 1 is moving away from Earth at a speed of v1 = 0.60c (where c is the speed of light) and the rocket is moving with a velocity of v2 = 0.30c relative to Spaceship 1.

Using the formula, we can calculate the observed speed of the rocket from Earth's perspective:

v_observed = (0.60c + 0.30c) / (1 + (0.60c*0.30c)/c^2)

v_observed = 0.90c / (1 + (0.18c^2)/c^2)

v_observed = 0.90c / (1 + 0.18)

v_observed = 0.90c / 1.18

v_observed ≈ 0.76c

Know more about theory of special relativity here;

https://brainly.com/question/28289663

#SPJ11

Both conditions of the alternating series test are satisfied, so the series ∑ (-1)^n a_n converges.

To apply the alternating series test, we need to verify the following two conditions:

The sequence {a_n} = 1/(n^2 - 5) is positive, decreasing, and approaches 0 as n approaches infinity.

The series ∑ (-1)^n a_n = ∑ (-1)^n/(n^2 - 5) converges.

To check the first condition, we can take the derivative of a_n:

a'_n = -2n/(n^2 - 5)^2

Since n ≥ 3, we have n^2 - 5 ≥ 4, so (n^2 - 5)^2 ≥ 16. This implies that a'_n ≤ 0 for n ≥ 3. Therefore, the sequence {a_n} is decreasing.

To check that the sequence approaches 0, we can use the limit comparison test with the convergent p-series ∑ 1/n^2:

lim n→∞ a_n/(1/n^2) = lim n→∞ n^2/(n^2 - 5) = 1

Since the limit is finite and positive, we conclude that {a_n} approaches 0 as n approaches infinity.

Thus, both conditions of the alternating series test are satisfied, so the series ∑ (-1)^n a_n converges.

Learn more about alternating series here:

https://brainly.com/question/16969349

#SPJ11

help please someone

The volume of the rectangular prism is given by the equation

A = 13 1/2 inches³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be represented as A

Now , the equation will be

The length of the rectangular prism L = 1 1/2 inches

The length of the rectangular prism L = 1.5 inches

The width of the rectangular prism L = 2 1/4 inches

The width of the rectangular prism L = 2.25 inches

The height of the rectangular prism L = 4 inches

So , the volume of the rectangular prism A = Length x Width x Height

Substituting the values in the equation , we get

The volume of the rectangular prism A = 1.5 x 2.25 x 4

On simplifying the equation , we get

The volume of the rectangular prism A = 13.5 inches³

Hence , the volume of rectangular prism is  13.5 inches³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ5

Answer:

Step-by-step explanation:

Step 1:

Isolate x (1st Equation)

2x + 3y = 0

     - 3y = -3y

       2x = -3y

Step 2:

Divide both sides by 2

x = -3y/2

Step 3:

Replace the x from 8x with -3y/2 and Solve the equation

8(-3y/2) + 9y = 18

-12y + 9y = 18

-3y = 18

y = -6

Step 4:

Go back to the 1st equation and replace the y from 3y with -6. You are now solving for x. Solve the equation.
2x + 3(-6) = 0

2x - 18 = 0

    + 18 = +18

      2x = 18

x = 9

Step 5:

Write your final answer.

(x, y) = (9, -6)

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

To know more about confidence intervals, refer here:

https://brainly.com/question/32546207#

#SPJ11

A solution to −34x+2=(14)x+1 is x = 1/48

In this question, we have been given functions f(x) = -34x + 2 and g(x) =(14)x + 1

We need to find the solutions to −34x + 2 = (14)x + 1

i.e., we need to find the solution to f(x) = g(x)

Consider, f(x) = g(x)

-34x + 2 = (14)x + 1

-34x + 2 - 14x = 14x + 1 - 14x

-48x + 2 = 1

-48x = -1

x = 1/48

Therefore, a solution to −34x+2=(14)x+1 is x = 1/48

Learn more about function  here:

https://brainly.com/question/28193995

#SPJ1

The area of the parallelogram is \(\sqrt{132}\).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Given that,

vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)

Area of Parallelogram = |KL × KN|

KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)

KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)

Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.

Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|

                                    = |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|

                                    = |i(-10) - j(-4) + k(-4)|

                                    = |-10i + 4j - 4k|

                                    = \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)

                                    = \(\sqrt{100+16+16}\)

                                    = \(\sqrt{132}\)

Hence, The area of the parallelogram is \(\sqrt{132}\).

To learn more about the parallelogram from the given link:

https://brainly.com/question/970600

#SPJ4

Work Shown:

(12 pictures)/(5 minutes) = (132 pictures)/(x minutes)

12/5 = 132/x

12x = 5*132

12x = 660

x = 660/12

x = 55

Note: I used the cross multiplication rule in the third step.

Answer:

D. 81

Step-by-step explanation:

(81^¼)⁴ = 81^(¼×4) = 81¹ = 81

The total cost of the ticket after tax is $166.86. 6) To calculate 15% of 120, you can multiply 120 by 0.15 (which is the decimal representation of 15%).

15% of 120 = 0.15 * 120 = 18

So, 15% of 120 is 18.

7) To write 47% as a decimal, divide 47 by 100.

47% as a decimal = 47/100 = 0.47

So, 47% written as a decimal is 0.47.

10) To find the price of the suit after a 15% reduction, we can subtract 15% of the original price from the original price.

Original price of the suit = $60

15% off = 0.15 * $60 = $9

Price after the reduction = $60 - $9 = $51

So, the price of the suit after the 15% reduction is $51.

As a percentage, the price reduction is calculated by dividing the reduction amount by the original price and multiplying by 100:

Percentage reduction = ($9/$60) * 100 = 15%

17a) To find the sales tax on a $162 ticket with a 3% tax rate, multiply the ticket price by the tax rate.

Sales tax = $162 * 0.03 = $4.86

The sales tax on the ticket is $4.86.

17b) To find the total cost of the ticket after tax, we need to add the ticket price and the sales tax.

Total cost of the ticket after tax = $162 + $4.86 = $166.86

The total cost of the ticket after tax is $166.86.

Please note that currency symbols were omitted in the previous responses, but the values provided are in dollars.

Learn more about dividing here: brainly.com/question/15381501

#SPJ11

On solving the provided question, we can say that in the provided rectangle the fence is 14 m wide.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

provided

let length will be = 3w

width = w

perimeter of rectangle = 2(l+b) = 2(3w+w) = 8w

8w = 120

w = 14

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ1

A graph which represents the reflection of this figure across the x-axis is: graph 5.

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y) → (x, -y) = (3, 1) → (3, -1).

(x, y) → (x, -y) = (4, 0) → (4, 0).

(x, y) → (x, -y) = (3, -1) → (3, 1).

(x, y) → (x, -y) = (4, -2) → (4, 2).

(x, y) → (x, -y) = (2, -4) → (2, 4).

(x, y) → (x, -y) = (0, -2) → (0, 2).

In conclusion, a reflection across the x-axis would transform the geometric figure to that shown in the graph attached in the image below.

Read more on reflection here: brainly.com/question/20602330

#SPJ1

Answer:

A, the correct answer is A because a dilation is when you either shrink or make the image bigger...and in this case they srunk it!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

80/100 x 40 = 32

60/100 x 30 = 18

18 + 32 = 50

50/(80+60) x 100 = 35.7

= 36

Thank you

Answer:

36%

Step-by-step explanation:

class total: 140 students

40% of 80= 32

30% of 60=18

18+32= 50

50 divided by 140= .36 or 36 percent

Answer:

Do you have any picture?

Answer:

50

Step-by-step explanation:

B.

Answer:

1st

Step-by-step explanation: i think

The probability that everyone in the line is adjacent to her sister can be determined by counting the favorable outcomes and dividing by the total number of possible outcomes.

Let's consider the arrangement of the sisters. Each sister has one sister who is her adjacent neighbor. There are three pairs of sisters, so we have six sisters in total. The number of ways to arrange the sisters such that everyone is adjacent to her sister can be determined as follows:

We can fix the positions of the pairs of sisters. There are three pairs, so we have three fixed positions.

Within each pair, there are two possible ways to arrange the sisters.

Therefore, the total number of favorable outcomes is 2^3 = 8.

Now, let's consider the total number of possible outcomes. We have six sisters in total, so there are 6! (factorial) ways to arrange them.

Hence, the probability that everyone in the line is adjacent to her sister is 8/6! = 8/720 = 1/90.

Therefore, the probability is 1/90, expressed as a common fraction.

Learn more about adjacent here:

https://brainly.com/question/22880085

#SPJ11

The solution set can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4.  This line can be defined by a vector (4, 1, 1, -6) and any point on the line (2, -1, 0, -5).

The solution set can be described by the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. To describe this line, we need a point on the line and a vector. The point on the line can be found by setting t = 0, so the point is (2, -1, 0, -5). The vector can be found by subtracting the point from each of the coordinates of the solution set, so the vector is (4, 1, 1, -6). This vector can be used to describe the line in R4, as any point on the line can be expressed as a multiple of the vector plus the initial point on the line. Therefore, the solution set of the system of equations can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4, defined by the point (2, -1, 0, -5) and the vector (4, 1, 1, -6).

Learn more about vector here

https://brainly.com/question/30202103

#SPJ4