A rotation of 180 degrees around the orgin will move a shape how many quadrants ?

Answer:

£112

Step-by-step explanation:

Sushi       Fiona

3           :      5

Sushi gets £42 ---- >     42/3 = 14  -----> 14x5 = £70 (Fiona)

42 + 70 = £112

The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.

First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.

Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.

Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:

1/2 = 3/6

x/6

Now we need to find the value of x that makes the sum of the fractions equal to 19/3:

3/6 + x/6 = 19/3

To solve for x, we can multiply both sides by 6:

3 + x = 38/3

Then, we can subtract 3 from both sides:

x = 29/3

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The solution by substitution  to the system of equations is x = 9, y = 18.

In the context of solving systems of equations, substitution is a method of solving for one variable in terms of another in one equation and then substituting that expression into the other equation. The result is a new equation with only one variable that can be solved for easily.

For example, the system of equations:

To solve this system of equations by substitution, solve one equation for one variable and substitute the result into the other equation. Let's solve the first equation for y:

Now we can substitute y = 5 - 2x into the second equation:

Simplifying this equation, we get:

So, x = 6/5 then substitute this value of x back into one of the original equations to solve for y, use y = 5 - 2x:

Therefore, the solution to the system of equations is x = 6/5, y = 1/5.

In the equation

Solve the second equation, y=2x, for y by itself:

Now substitute this expression for y into the first equation:

Next, solve this equation for x:

Now that found the value of x,substitute it back into one of the original equations to find the value of y, use y = 2x:

Therefore, the solution to the system of equations is x = 9, y = 18.

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Answer:

c

Step-by-step explanation:

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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An equation to represent the relationship is y=15x.

What is linear equation ?

Linear equation can be defined as the equation in which highest degree is one.

Given ,

The table represents a proportional relationship.

So we have to write an equation to represent the relationship

Given,

Time that is

x = {5,8,12 }

Distance that is

y = {75,120,180}

so here from the given table,

75 = 15*5

120 = 8*15

180 = 12*15

hence , it is in the form of y = 15x.

Therefore, An equation to represent the relationship is y=15x.

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Answer:

x=3

Step-by-step explanation:

6x-3x=16-7

3x=16-7

3x=9

x=3

Answer:

Step-by-step explanation:

To determine the number of ways to select 3 men and 2 women for a committee from a union chapter consisting of 6 men and 4 women, we can use the concept of combinations.

The number of ways to select 3 men from 6 men is given by the combination formula: C(6, 3) = 6! / (3! * (6 - 3)!) = 20.

Similarly, the number of ways to select 2 women from 4 women is given by the combination formula: C(4, 2) = 4! / (2! * (4 - 2)!) = 6.

To obtain the total number of ways to select 3 men and 2 women for the committee, we multiply these two combinations together: 20 * 6 = 120.

Therefore, there are 120 ways to select 3 men and 2 women for a committee from the given union chapter.

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Answer: your answers are d, b, and b!

Step-by-step explanation:

Answer:

1. A. new comment

2. D .fictional reference

3. A. a storm is coming

Step-by-step explanation:

its just makes sense to me!

Answer:

I think its b

Step-by-step explanation:

Thanks to the person above me

In the given regression model, Yi = 30 + B1Xi + B2Di + B3(Xi x Di) + ui, B3 represents the interaction term between the continuous variable Xi and the binary variable Di.

The coefficient B3 indicates the difference in the slopes of the two regressions when Di = 0 and Di = 1.

Thus, it shows how the effect of Xi on Yi changes depending on the value of Di.

C) indicates the difference in the slopes of the two regressions.

In the given regression model, ß3 is the coefficient of the interaction term between X and D, which is (Xi x Di). The interaction term shows how the effect of X on Y changes when D changes from 0 to 1.

Therefore, the coefficient ß3 indicates the difference in the slopes of the two regressions (when D = 0 and D = 1), which represents the effect of the interaction between X and D on Y.

Option A is incorrect because the slope of the regression when D=1 is given by the coefficient ß1 (the coefficient of X), not by ß3.

Option B is incorrect because the standard error of the coefficient ß3 can be normally distributed in large samples, even if D is not normally distributed.

Option D is incorrect because the product (Xi x Di) is zero when Di = 0, but ß3 can still have a non-zero value when Di = 0.

C) indicates the difference in the slopes of the two regressions.

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The correct option regarding the 95% confidence interval for this problem is given as follows:

A. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for the first simulation are given as follows:

\(n = 1000, \pi = \frac{212}{1000} = 0.212\)

Hence the lower bound of the interval is of:

\(0.212 - 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.187\)

The upper bound is of:

\(0.212 + 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.237\)

For the second simulation, the parameters are given as follows:

\(n = 1000, \pi = \frac{235}{1000} = 0.235\)

Hence the lower bound of the interval is of:

\(0.235 - 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.209\)

The upper bound is of:

\(0.235 + 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.261\)

This means that option A is the correct option.

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Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Here is the table with the earnings per share (EPS) for each year, rounded to the nearest cent.

Year Net income Preferred dividends Shares outstanding EPS formula EPS

2020 $100,000 $0 100,000 (n) $1.00

2021 $120,000 $0 100,000 (n) $1.20

2022 $140,000 $0 100,000 (n) $1.40

Formula reference: (n) = (Net income - Preferred dividends) / Weighted average-number of common shares outstanding

Here are the steps on how to calculate the EPS:

The EPS formula is a simple way to measure a company's profitability. It is calculated by dividing the net income after preferred dividends by the weighted average number of common shares outstanding. The higher the EPS, the more profitable the company is.

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Answer: its 73,000

Step-by-step explanation: the answer sheet has the answers...

The length of the lake in miles for the given situation of travelling motor boat is equal to 9 miles.

Let us consider the length of the lake be d in miles.

Number of miles motor boat travelled per hour = 18 miles

When the motor boat travels at 18 miles per hour,

The time it takes to travel the length of the lake is,

t₁ = d/18

When the motor boat travels at 12 miles per hour,

The time it takes to travel the length of the lake is,

t₂ = d/12

Time it takes to travel the length of the lake at 18 miles per hour

=  one-quarter of an hour less than the time it takes at 12 miles per hour,

⇒ t₁ = t₂ - 1/4

Substituting the expressions for t₁ and t₂ from above, we get,

⇒ d/18 = d/12 - 1/4

Simplify this equation by multiplying both sides by the least common multiple of the denominators,

least common multiple = 36

⇒ 2d = 3d - 9

Solving for d, we get,

⇒ d = 9

Therefore, the length in miles of the lake is 9 miles.

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Answer:

90.52

Step-by-step explanation:

The rhomboid EFGH is the consequence of four rigid transformations: reflecting across the x-axis, translating 4 units to the left, translating 2 units down and dilating with a scale factor of 0.5 and center at (0, 0). (Right choice: A)

In this problem we must determine the sequence of rigid transformations used to transform rhomboid ABCD into rhomboid EFGH. Rigid transformations are transformations that are applied on geometric loci such that its Euclidean distance is conserved. The most common rigid transformations are listed below:

After a quick inspection on the figure, we find a sequence formed by four rigid transformations:

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Answer:

Step-by-step explanation:

Okay, so assuming you have set up your division problem, you first have to find a value that will set x = to x^3. This value is x^2. So, put that above the division symbol. Next, multiply (x +4) by x^2. Then, subtract that answer from x^3 + x^2. You should get -3x^2 - 10x. Then, find a value to get x to -x^2. This value is -3x. So, put that above the division symbol. Multiply (x + 4) by -3x. Then, subtract that value from -3x^2 - 10x. You should get 2x + 8 as your answer. Now find a value to get x to 2x. 2 should work. So, put that above the division symbol.  Multiply (x +4) by 2. When subtract your answer from 2x + 8 you get 0. Therefore, the answer is x^2 - 3x +2. Hope this helps!!

The total number of books that are in Francisca's bookcase is 125 books.

Let the total number of books be B.

Given the following data:

Number of paperbacks = 40.

Percentage = 32%.

In this exercise, you're required to determine the total number of books that are in Francisca's bookcase if there she has 40 paperbacks in her bookcase. Thus, we would write a mathematical expression for the word problem.

Translating the word problem into an algebraic expression, we have;

\(\frac{32}{100} \times T=40\\\\0.32T=40\\\\T=\frac{40}{0.32}\)

T = 125 books.

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The main difference between Euclidean and spherical geometries is that Euclidean geometry deals with flat planes and straight lines, while spherical geometry deals with curved planes (the surface of a sphere) and curved lines (great circles).

Euclidean and spherical geometries are two different types of geometries. Let's compare and contrast them, specifically looking at planes and lines in both geometries.
In Euclidean geometry, planes are flat, two-dimensional surfaces that extend infinitely in all directions. They are defined by three non-collinear points. Lines in Euclidean geometry are also straight and extend infinitely in both directions. They are defined by two points.
On the other hand, in spherical geometry, planes are not flat but curved. They are represented by the surface of a sphere. Spherical planes do not extend infinitely and are bounded by the surface of the sphere. Lines in spherical geometry are also curved and are called great circles.

Great circles are formed by the intersection of a plane passing through the center of the sphere with the surface of the sphere. Unlike lines in Euclidean geometry, great circles do not extend infinitely but rather form closed loops on the surface of the sphere.

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Answer:

y=-4/3x

Step-by-step explanation:

Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

where are the choices

Step-by-step explanation:

Answer:

Hey bestie, if you can comment the choices for the question id be able to help you out and answer it .!

Step-by-step explanation:

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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Answer:

You would do this problem like a normal varible problem. x=10

Step-by-step explanation:

Since 9x is a right angle the inside would also be 9x

9x+4x+10+40=180

180 because that is how much a triangle equals

combine like terms

13x+50=180

subtract 50 from both sides

13x=130

divide by 13

x=10

Hope this helps!

Answer:

\(x = 50\)

Step-by-step explanation:

\(x + x + (2x - 20) = 180 \\ x + x + 2x - 20 = 180 \\ 4x - 20 = 180 \\ 4x = 180 + 20 \\ 4x = 200 \\ \\ x = \frac{200}{4} \\ \\ x = 50\)

\(2x - 20 \\ 2(50) - 20 \\ 100 - 20 = 80\)

The value of x in the triangle is 50

The angles in a triangle add up to 180.

So, we have:

x + x + 2x - 20 = 180

Add 20 to both sides

x + x + 2x = 200

Evaluate the like terms

4x =200

Divide both sides by 4

x =50

Hence, the value of x in the triangle is 50

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Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

Out of the two participants, one had lung cancer. Therefore, the cumulative incidence is 1/2, which is equal to 0.4.

The cumulative incidence of lung cancer can be calculated as the number of new cases of lung cancer divided by the total number of individuals at risk. In this study, there were five individuals followed for 10 years. One person was lost to follow-up after 2 years, one person died after 8 years from a different cause, one person had lung cancer after 7 years, one person was lost to follow-up after 5 years, and one person remained healthy for the entire study period.

Therefore, there were four individuals who were at risk of developing lung cancer. One person developed lung cancer after 7 years, so the cumulative incidence of lung cancer is 1/4, which equals 0.25 or 25%.

Therefore, the answer is c. 0.2.
The cumulative incidence of lung cancer in this study is equal to:

b. 0.4

To calculate the cumulative incidence, we need to consider only the participants who were followed up completely and had an outcome (either lung cancer or remained healthy). In this study, there are two such participants: one who had lung cancer after 7 years, and another who was followed for 10 years and remained healthy. Out of these two participants, one had lung cancer. Therefore, the cumulative incidence is 1/2, which is equal to 0.4.

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