Rory mows an acre of Grass each 1/2 Hour. He mows for more than 6 hours. Determine how many acres rory mows. Then interpret the solution

Answer:

b

Step-by-step explanation:

Answer:

9ft by 14ft

Step-by-step explanation:

Area:

9 x 14 = 126

Perimeter:

9 + 9 + 14 + 14 = 46

Answer:

Sure!

Step-by-step explanation:

10 - 12 = -2

because 10 is less than 12 and 12 is being taken out of 10 instead of the other way.

Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.

Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.

To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.

It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.

Learn more about Heritability here:

https://brainly.com/question/27222788

#SPJ11

The probability of the person having blood type a is 0.55.

Define Probability

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Blood type 'o' = 0.30

Blood type 'a' = ?

Blood type 'b' = 0.10

Blood type 'ab' = 0.05

find, the probability of the blood type 'a'

Probability(person having blood type a) = 1 - 0.30 - 0.10 - 0.05

                                                                  = 0.55

Hence, The probability of the person having blood type a is 0.55.

To read more about Probability.

https://brainly.com/question/25870256

#SPJ4

Answer:

275

Step-by-step explanation:

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

Learn more about Long division from the link below

https://brainly.com/question/28824872

#SPJ4

(a) Number of 18-bit strings with exactly eight 1's: C(18, 8).

(b) Number of 18-bit strings with at least fifteen 1's: \(2^18 - (C(18, 0) + C(18, 1) + C(18, 2) + ... + C(18, 14)).\)

(c) Number of 18-bit strings with at least one 1: \(2^18 - 1.\)

(d) Number of 18-bit strings with at most one 1: C(18, 0) + C(18, 1) = 1 + 18 = 19.

In mathematics, the binomial coefficient, often denoted as "n choose k" or "C(n, k)", is a value that represents the number of ways to choose k objects from a set of n distinct objects without regard to their order. The binomial coefficient is calculated using combinatorial formulas and plays a fundamental role in combinatorics and probability theory.

(a) To determine the number of 18-bit strings that contain exactly eight 1's, we need to choose the positions for the 1's in the string. The total number of ways to choose the positions is given by the binomial coefficient. In this case, we have 18 positions to choose from, and we want to choose 8 positions for the 1's. Therefore, the number of 18-bit strings with exactly eight 1's is given by:

C(18, 8)

(b) To determine the number of 18-bit strings that contain at least fifteen 1's, we can consider the complement. The total number of 18-bit strings is 2¹⁸ since each bit has 2 possible values (0 or 1). To find the number of strings with at least fifteen 1's, we subtract the number of strings with fewer than fifteen 1's from the total number of strings:

\(2^18 - (C(18, 0) + C(18, 1) + C(18, 2) + ... + C(18, 14))\)

(c) To determine the number of 18-bit strings that contain at least one 1, we can again use the complement. The total number of 18-bit strings is \(2^18\), and the number of strings with no 1's is 1 (the all-0 string). So, the number of strings with at least one 1 is:

\(2^{18} - 1\)

(d) To determine the number of 18-bit strings that contain at most one 1, we can count the number of strings with no 1's (1 string) and the number of strings with exactly one 1 (C(18, 1)). So, the total number of strings with at most one 1 is:

C(18, 0) + C(18, 1) = 1 + 18 = 19

To know more about Binomial coefficient visit:;

https://brainly.com/question/14216809

#SPJ4

Answer:

\(3x^2+4x+8\)

Step-by-step explanation:

To find the value of \(7x^2+6x+9-4x^2-2x-1\)

We need to combine like terms by grouping

\(7x^2-4x^2+6x-2x+9-1\)

= \(3x^2+4x+8\)

Hope this helps :)

Have a great day!

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer:

Step-by-step explanation:  interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

yes it can have 160 degree as interior angel

Answer:

Ax + By = C

5x + 4y = -20

a is 5, b is 4

Step-by-step explanation:

Find slope:

  m = (y₂ - y₁) / (x₂ - x₁)

      = (0 - (-5)) / (-4 - 0)

     = 5 / -4

  m = -5/4

Use m above and anyone point to find y-intercept, let's use (-4, 0):

  y = mx + b

  0 = -5/4(-4) + b

  0 = 5 + b

  b = -5

Slope intercept form using m and b from above:

  y = mx + b

  y = -5/4x - 5

Standard form Ax + By = C:

  y = -5/4x - 5

  5/4x + y = -5

  5x + 4y = -20

The solution to the system of given linear equations using matrix inversion is (x, y, z) = (3, -3, -6).

The system of linear equations that needs to be solved is:

\($$\begin{aligned}-x+2y-z&=0\\-x-y+2z&=0\\2x-z&=3\end{aligned}\)
$$

To solve this system using matrix inversion, we first write the system in matrix form as AX = B, where

\($$A=\begin{bmatrix}-1 &2 &-1\\-1 &-1 &2\\2 &0 &-1\end{bmatrix}, X=\begin{bmatrix}x\\y\\z\end{bmatrix}, \text{and } B=\begin{bmatrix}0\\0\\3\end{bmatrix}$$\)

We then find the inverse of A as \(A^-^1\), such that \(A^-^1A\) = I, where I is the identity matrix. Then we have:

\($$A^{-1}=\begin{bmatrix}1 &2 &3\\-1 &-1 &-2\\-2 &-2 &-3\end{bmatrix}$$\)

Finally, we can solve for X using X = \(A^-^1B\) as follows:

\($$X=\begin{bmatrix}1 &2 &3\\-1 &-1 &-2\\-2 &-2 &-3\end{bmatrix}\begin{bmatrix}0\\0\\3\end{bmatrix}=\begin{bmatrix}3\\-3\\-6\end{bmatrix}$$\)

Therefore, the solution to the system of linear equations is (x, y, z) = (3, -3, -6).

From the above discussion, we found that the solution to the system of linear equations using matrix inversion is (x, y, z) = (3, -3, -6).

Matrix inversion is a method of solving a system of linear equations using matrix operations. It involves finding the inverse of the coefficient matrix A, which is a matrix such that when multiplied by A, the identity matrix is obtained. Once the inverse is found, the system can be solved using matrix multiplication as X = A^-1B.In the above example, we used matrix inversion to solve the system of linear equations. We first wrote the system in matrix form as AX = B, where A is the coefficient matrix, X is the vector of unknowns, and B is the vector of constants. We then found the inverse of A, A^-1, using matrix operations. Finally, we used X = A^-1B to solve for X, which gave us the solution to the system of linear equations.

From the above discussion, it is clear that matrix inversion is a useful method for solving systems of linear equations. It is particularly useful when the coefficient matrix is invertible, meaning that its determinant is nonzero. In such cases, the inverse can be found, and the system can be solved using matrix multiplication.

To know more about matrix inversion visit:

brainly.com/question/14405737

#SPJ11

Answer:

write down the equations for each, add them then do some manipulation to get the pencil and erasors on one side

Answer:

your answer will be 5

Step-by-step explanation:

hope its right

The correct decision is to accept the alternative hypothesis (Ha: M ≠ 5850) and conclude that the population mean is not equal to 5850 based on the given sample data.

To determine the correct decision for the hypothesis test, we need to compare the 95% confidence interval for the population mean with the null hypothesis value.

Null hypothesis (H0): M = 5850

Alternative hypothesis (Ha): M ≠ 5850

In this case, the null hypothesis assumes that the population mean (M) is equal to 5850, while the alternative hypothesis suggests that M is not equal to 5850.

The 95% confidence interval for the population mean is ($5938.42, $6546.32). If the null hypothesis value of 5850 falls within this confidence interval, we fail to reject the null hypothesis. If the null hypothesis value is outside the confidence interval, we reject the null hypothesis in favor of the alternative hypothesis.

Comparing the null hypothesis value with the confidence interval:

5850 < $5938.42 or 5850 > $6546.32

Since the null hypothesis value of 5850 falls outside the confidence interval, we reject the null hypothesis at the 5% level of significance. The correct decision is to accept the alternative hypothesis (Ha: M ≠ 5850) and conclude that the population mean is not equal to 5850 based on the given sample data.

Learn more about confidence interval from:

https://brainly.com/question/20309162

#SPJ11

Answer: 5/9

Step-by-step explanation:

The amount the restaurant needs to earn on Sunday to average $1000 per day over the three-day period is $819.

What is average ?

The average is the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is given that restaurant earns $1073 on Friday and $1108 on Saturday.

The amount which restaurant needs to earn on Sunday to average $1000 per day over the three-day period can be calculated by finding the average.

The average is given by ratio of sum of amount on each day from Friday to Sunday and divide it by number of days.

Let's assume amount earn on Sunday is $x.

So ,

\(\frac{1073 + 1108 + x}{3}\) = 1000

1073 + 1108 + x = (1000 × 3)

2181 + x = 3000

Let's solve this equation to get the value of x.

x = 3000 - 2181

x = $819

So , amount earn by restaurant is $819.

Therefore , the amount the restaurant needs to earn on Sunday to average $1000 per day over the three-day period is $819.

Learn more about averages here :

https://brainly.com/question/20118982

#SPJ1

The probability of exactly one successes in five trials  is 0.20

From the question, we have the following parameters that can be used in our computation:

The probability is calculated as

P(x) = nCx * p^x * (1 - p)^(n -x)

Where

n = 5

p = 5%

x = 1

Substitute the known values in the above equation, so, we have the following representation

P(1) = 5C1 * (5%)^1 * (1 - 5%)^(5 -1)

Evaluate

P(1) = 0.20

HEnce, the probability value is 0.20

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

Answer:

If they are parallel then angle b is

A. 51°

Step-by-step explanation:

Hey there!

\(Answer:\boxed{4\frac{11}{12}}\)

\(Explanation:\)

\(1\frac{3}{4}+1\frac{1}{2}+1\frac{2}{3}\)

Simplify to solve.

\(\boxed{4\frac{11}{12}}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

Step-by-step explanation:

The formula we need for this is

4(4 + x) = 5(5 + 3) and

16 + 4x = 5(8) and

16 + 4x = 40 and

4x = 24 so

x = 6, choice C.

The Equation of circle is (x+3)² + (y-5)² = (√20)².

We have,

Center = (-3, 5)

Point = (1, 7)

We know the standard form of Equation of circle

(x-h)² + (y-k)² = r²

where (x, y) is any point on the circle, (h, k) is the center

So, (x+3)² + (y-5)² = r²

Put the point (1, 7) in above equation we get

(1+3)² + (7-5)² = r²

(4)² + (2)² = r²

16 + 4= r²

r= √20

Thus, the Equation of circle is

(x+3)² + (y-5)² = (√20)²

Learn more about Equation of circle here:

https://brainly.com/question/29288238

#SPJ1

The function consists of a downward-opening parabola from -2 to 2 and a line segment for x > 2. The limit of f(x) as x approaches 4 does not exist, while the limit of f(x) as x approaches 3 exists and is equal to -5.

To sketch the piecewise function f(x) = {(8 - x², -2 < x ≤ 2), (-x + 6, x > 2), x ∈ ℝ}, we need to plot the different segments of the function separately based on the given conditions.

For the interval -2 < x ≤ 2:

The function is defined as f(x) = 8 - x². This represents a downward-opening parabola centered at x = 0, with the vertex at (0, 8). We can plot points on this segment by substituting values of x within the interval and calculating the corresponding y-values.

For x > 2:

The function is defined as f(x) = -x + 6. This represents a line with a slope of -1 and a y-intercept of 6. We can plot points on this segment by substituting values of x greater than 2 and calculating the corresponding y-values.

Now, let's determine the limits of f(x) at specific points:

lim f(x) as x approaches 4:

Since x = 4 does not fall within any of the defined intervals, we cannot determine the limit of f(x) at x = 4.

lim f(x) as x approaches 3+:

As x approaches 3 from the right side (x > 3), the function is defined as f(x) = 4 - x². We can evaluate the limit by substituting x = 3 into the function: lim f(x) as x approaches 3+ = 4 - (3)² = 4 - 9 = -5.

lim f(x) as x approaches 3-:

As x approaches 3 from the left side (x < 3), the function is defined as f(x) = 4 - x². We can evaluate the limit by substituting x = 3 into the function: lim f(x) as x approaches 3- = 4 - (3)² = 4 - 9 = -5.

lim f(x) as x approaches 3:

Since the limit from both sides (3+ and 3-) is the same (-5), we can conclude that the limit of f(x) as x approaches 3 exists and is equal to -5.

In summary, the sketch of the piecewise function consists of a downward-opening parabola from -2 to 2 and a line segment for x > 2. The limit of f(x) as x approaches 4 does not exist, while the limit of f(x) as x approaches 3 exists and is equal to -5.

Learn more about line segment here

https://brainly.com/question/280216

#SPJ11

We are given the iterated integral:

∫(y=0 to 1) ∫(x=0 to 2-y^2) 6(x + y) dx dy

To convert this to polar coordinates, we need to express x and y in terms of r and θ. We have:

x = r cos(θ)

y = r sin(θ)

The limits of integration for y are from 0 to 1. For x, we have:

x = 2 - y^2

r cos(θ) = 2 - (r sin(θ))^2

r^2 sin^2(θ) + r cos(θ) - 2 = 0

Solving for r, we get:

r = (-cos(θ) ± sqrt(cos^2(θ) + 8sin^2(θ)))/2sin^2(θ)

Note that the positive root corresponds to the region we are interested in (the other root would give a negative radius). Also, note that the expression under the square root simplifies to 8cos^2(θ) + 8sin^2(θ) = 8.

Using these expressions, we can write the integral in polar coordinates as:

∫(θ=0 to π/2) ∫(r=0 to (-cos(θ) + sqrt(8))/2sin^2(θ)) 6r(cos(θ) + sin(θ)) r dr dθ

Simplifying and integrating with respect to r first, we get:

∫(θ=0 to π/2) [3(cos(θ) + sin(θ))] ∫(r=0 to (-cos(θ) + sqrt(8))/2sin^2(θ)) r^2 dr dθ

= ∫(θ=0 to π/2) [3(cos(θ) + sin(θ))] [(1/3) ((-cos(θ) + sqrt(8))/2sin^2(θ))^3 - 0] dθ

= ∫(θ=0 to π/2) [1/2sqrt(2)] [2sin(2θ) + 1] dθ

= (1/2sqrt(2)) [(1/2) cos(2θ) + θ] (θ=0 to π/2)

= (1/2sqrt(2)) [(1/2) - 0 + (π/2)]

= (π + sqrt(2))/8

Therefore, the value of the iterated integral, when converted to polar coordinates, is (π + sqrt(2))/8.

To learn more about iterated integral refer below

https://brainly.com/question/31433890

#SPJ11

Answer: 2.55x

Step-by-step explanation:

Answer: The council should survey 11 Democrats.

Step-by-step explanation:

A proportional relationship is written as:

y = k*x

Where k is the constant of proportionality. y is the number of surveyed members, and x is the total number of registered members.

If we use the same proportion for each case, then we will use the same value of k.

We know that there are 20553 registered Republicans, and the council decides to survey 13 of them, then we will have the relation:

13 = k*20553

Now we can solve this for k:

13/20553 = k

Then the proportional relationship will be:

y = (13/20553)*x

The number of democrats they should survey can be found if we replace x by the number of registered Democrats, then we use x = 17391

this leads to:

y = (13/20553)*17391 = 11

The company should survey 11 Democrats.

Answer:

200020ft

Step-by-step explanation:

Answer:

P = 4sqrt2 meters

Step-by-step explanation:

The diagonal of the square is the diameter of the circle. The radius is given, it is 1 meter. The diameter would then be 2 meters.

If you just consider the diagonal and just two sides, it is a 45°-45°-90° triangle. If the hypotenuse is 2, then the legs are sqrt2. This is a side of the square. Each side of the square is ssqrt2. There are four sides.

To find the perimeter, add up all four sides. Or since its a square and all four sides are the same, times by 4

Perimeter = 4sqrt2 meters