Which pair of equations corresponds to the two sets of
data in the table?
X
-2
-1
0
1
2
У1
-2
0
2
4
6
Y₂
4
4
4
4
4

The area of the semicircle is approximately 112.5π square meters.

To find the area of a semicircle, we will use the following terms: diameter, radius, and area.
Find the radius of the semicircle
Since the diameter is given as 30 meters, we can find the radius by dividing the diameter by 2:
Radius = Diameter/2 = 30 meters/2 = 15 meters.

Use the formula for the area of a circle and adjust it for a semicircle
The area of a full circle is given by the formula

\(A = \pi  \times  r^2,\)

where A is the area and r is the radius.

Since we are dealing with a semicircle (half of a circle), we will adjust the formula to find half the area of a full circle:
Semicircle Area\(= (1/2) \times \pi \times  r^2\)
Step 3: Calculate the area of the semicircle
Substitute the radius value (15 meters) into the formula:
Semicircle Area \(= (1/2) \times  \pi  \times (15 meters)^2\)
Semicircle Area \(\approx (1/2) \times \pi \times  225\) square meters \(\approx  112.5 \times \pi\) square meters.

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Answer:

Below

Step-by-step explanation:

12 C 2  = 12! / ( 10! 2!) = 66 ways

Answer:

5 out of 6, or 83%

Step-by-step explanation:

There are 6 sides and since it will not land on 3.  It will be \(\frac{5}{6}\) which equals 83%

Answer:

Step-by-step explanation:

Imfinite solutions

Answer:

Step-by-step explanation:

Which expression is equivalent to

(3²)

3² = 9

Based on the given parameters, the value of r is 46/3

The given parameters are

DG = r + 2

GM = 2r - 13

DM = 35

This means that

DM = DG + GM

So, we have

r + 2 + 2r - 13 = 35

Evaluate the like terms

3r = 46

Divide both sides by 3

r = 46/3

Hence, the value of r is 46/3

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The minimum sample size for the given event to have a normal approximation has to be 13 people.

For normal approximation,

np or n(1-p) should be greater than 10

where,

n = the sample size

p = probability for the occurrence of the event

Here, 20% of ohio residents support the legalization of marijuana

p = 20% or, 2/10

Hence,

1 - p = 1 - 2/10

= 8/10

Therefore, for normal approximation to be used

either n X 2/10 > 10    or,      n X 8/10 > 10

Therefore,

n X 2 > 10 X 10            or,      n X 8 > 10 X 10

hence,

n > 100/2                      or,               n > 100/8

n >  50                          or,               n > 12.5

Since we need to find the minimum no. of sample size to be required we will consider

n > 12.5

The sample size has to be a whole number hence,

n = 13

Therefore, the minimum sample size for the given event to have a normal approximation has to be 13 people.

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The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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Answer:

555.36

Step-by-step explanation:

5.34 times 104 = 555.36

Hope this helps! :D

The composition of functions g and f, denoted as \(\(g \circ f\)\)is a function that maps elements from the domain of f to the codomain of g. In this case, we have \(\(g: a \to b\)\) and \(\(f: b \to c\)\), where \(\(a = b = c = \{1, 2, 3, 4\}\)\).

The function g is given by \(\(\{(1, 4), (2, 1), (3, 1), (4, 2)\}\)\), and f is given by \(\(\{(1, 3), (2, 2), (3, 4), (4, 2)\}\)\). The composition \(\(g \circ f\)\) is a function that maps elements from the domain of f to the codomain of g. In other words, it combines the mappings of g and f in a way that the output of f becomes the input for g.

To compute \(\(g \circ f\)\), we start with the elements in the domain of f, which is \(\(b = \{1, 2, 3, 4\}\)\). For each element x in b, we apply f to get f(x), and then apply g to get g(f(x)).

The composition \(\(g \circ f\)\) is calculated as follows:

\(\[g \circ f = \{(1, g(f(1))), (2, g(f(2))), (3, g(f(3))), (4, g(f(4)))\}\]\)

Substituting the values from the given functions, we have:

\(\[g \circ f = \{(1, g(3)), (2, g(2)), (3, g(4)), (4, g(2))\}\]\)

Now, we substitute the values of g for the respective inputs:

\(\[g \circ f = \{(1, 2), (2, 4), (3, 2), (4, 1)\}\]\)

Therefore, the composition \(\(g \circ f\)\) is given by \(\(\{(1, 2), (2, 4), (3, 2), (4, 1)\}\)\).

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Answer:

Its B

Step-by-step explanation:

i dont know hot to explain it just is

Answer:

its b

Step-by-step explanation:

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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The correct answer is (b) divide the sum of the cross-products of Z scores by the sample size.

When calculating the correlation coefficient, also known as Pearson's correlation coefficient, the last step involves dividing the sum of the cross-products of Z scores by the sample size. The correlation coefficient measures the strength and direction of the linear relationship between two variables.

To calculate the correlation coefficient, we follow these steps:

Standardize the variables: Convert the raw scores of each variable into Z-scores. The Z-score represents the number of standard deviations a particular score is from the mean. This step is done to put both variables on the same scale and make them comparable.

Calculate the cross-products: Multiply the Z-scores of the corresponding pairs of observations. This step gives us the cross-products of Z-scores for each pair of observations.

Sum the cross-products: Add up all the cross-products of Z-scores.

Divide by the sample size: Divide the sum of the cross-products of Z-scores by the sample size. The sample size represents the number of paired observations used in the analysis.

By dividing the sum of the cross-products by the sample size, we obtain the covariance of the variables. The covariance measures the extent to which the variables vary together. However, the covariance itself is not sufficient to determine the strength and direction of the relationship.

The final step involves dividing the covariance by the product of the standard deviations of the variables. This step normalizes the covariance and results in the correlation coefficient, which is a value between -1 and 1. The correlation coefficient indicates the strength and direction of the linear relationship between the variables. A positive correlation coefficient indicates a positive linear relationship, a negative correlation coefficient indicates a negative linear relationship, and a correlation coefficient close to zero indicates a weak or no linear relationship.

Therefore, the last step in calculating the correlation coefficient is to divide the sum of the cross-products of Z-scores by the sample size.

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The value of the variable x in the system of equations is equal to x = 31/19.

The system of equations is equal to,

3x + y + 2z = -10 ...(1)

x + 5y + 2x = -12 ...(2)

-2x + 3y = -1 ...(3)

Solve this system using the method of substitution.

From equation (2), we can simplify it as,

3x + 5y = -12

Combining like terms:

3x + 5y = -12 ...(4)

Now, equations (1), (3), and (4) as follows,

3x + y + 2z = -10 ...(1)

-2x + 3y = -1 ...(3)

3x + 5y = -12 ...(4)

Use equations (3) and (4) to eliminate y and solve for x.

Multiplying equation (3) by 3 and equation (4) by 2, we get,

-6x + 9y = -3 ...(5)

6x + 10y = -24 ...(6)

Adding equations (5) and (6), we eliminate x,

(6x - 6x) + (9y + 10y) = (-3 - 24)

Simplifying, we have,

19y = -27

Dividing both sides by 22, we find,

y = -27/19

Now, substitute the value of y into equation (3),

-2x + 3(-27/19) = -1

Simplifying, we have,

-2x - 81/19= -1

Adding 81/19 to both sides, we get,

-2x = -1 + 81/19

-2x = ( -19 + 81 )/ 19

-2x = 62/19

Dividing both sides by -2,

x = (62/19) / -2

x = 31/19

Therefore, the value of x in the given system of equations is x = 31/19.

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The probability of having 7 out of 10 people with O negative blood type can be calculated using the binomial probability formula. The likelihood of selecting 7 O negative blood donors out of a group of 10.

To calculate the probability, we can use the binomial probability formula: P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where P(X = k) represents the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in each trial, and C(n, k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

In this case, we want to find the probability of having 7 O negative blood donors out of 10, given that the probability of any individual having O negative blood type is 55% (or 0.55).

Plugging in the values into the binomial probability formula, we have:

P(X = 7) = C(10, 7) * (0.55)^7 * (1 - 0.55)^(10 - 7)

Calculating the binomial coefficient, we have:

C(10, 7) = 10! / (7! * (10 - 7)!) = 120

Substituting the values into the formula, we get:

P(X = 7) = 120 * (0.55)^7 * (0.45)^3

Evaluating this expression gives us the probability that 7 out of 10 people have O negative blood type.

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Answer:

A) more people voted

Step-by-step explanation:

I did it on edge

Answer:

More People Voted

Step-by-step explanation:

I got it right

THe correct answer is D. you are very welcome!!

Answer:

52

Step-by-step explanation:

Answer:

scalene acute triangle

Step-by-step explanation:

By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.

The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

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Answer:

y=4/5x-2

Step-by-step explanation:

here are the given points: (5,2) and (10,6)

First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)

so let's label the points

x1=5

y1=2

x2=10

y2=6

now we can substitute into the equation

m=(6-2)/(10-5)

subtract

m=4/5

so that means the slope is 4/5

Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)

so let's substitute the numbers we know from earlier into the equation

y-2=4/5(x-5)

do distributive prop.

y-2=4/5x-4

add 2 to both sides

y=4/5x-2

hope this helps!

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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Answer:

B

Step-by-step explanation:

all you need to do is add 5 to the y for example ( -5, 5) add 5 to the (x,5) to make ( -5,10). As you can see only the y value is shifting, not the x value, that's why you need to add 5 to all the y values.

So the answer here is B.

Answer:

B

Step-by-step explanation:

The answer is B because 5 units up from 5 is 10. A and B both have a y coordinate of 5 and the answer letter B is the only one that mention 10 as a y coordinate twice

This is consistent with the initial purchase price of 40 bags at 25 pesos each.

Be "x" the quantity of coffee bags purchased and "p" the price per bag in pesos.

We know that "x" coffee bags were purchased at $1,000.00, which leads to the following equation:

x * p = 1000.00

We also know that if they had purchased an additional 10 bags, each bag would have cost $5.00 less. Hence, each coffee bag would cost "p - 5" pesos if we purchased "x + 10" bags of coffee. This leads to the following equation:

(x + 10) * (p - 5) = 1000.00

We can remove the letter "p" from the first equation:

p = 1000.00 / x

After that, we may simplify the second equation by substituting "p":

(x + 10) * (1000.00 / x - 5) = 1000.00

Adding "x" to both sides of the equation yields the following results:

(x + 10) * 1000.00 - 5x * (x + 10) = 1000.00 * x

By enlarging and simplifying, we arrive to a quadratic equation in "x":

10000.00 - 50x + 10000.00 = 1000.00x

1000.00x + 50x - 20000.00 = 0

By solving this equation, we obtain:

x = 40

Hence, 40 coffee bags were purchased for the price of:

25 pesos each sac is equal to p = 1000.00 / 40.

We can figure out the entire cost of the purchase to make sure this solution is correct:

40 * 25.00 = 1000.00

If they had purchased an additional 10 bags for the same money, the cost of each bag would have been:

(p - 5) = 25.000 - 5.000 = 20.000 pesos per sac

And the entire cost of the purchase had been:

50 * 20.00 = 1000.00

Exactly what was paid for the 40 bags at a cost of 25 pesos each in the original purchase. Hence, the answer is the right one.

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Answer:

Step-by-step explanation:

a) f(x) = x² y f(x) = (x+1)²-4 tienen la misma forma y orientación.

b) f(x) = x² se encuentra debajo y a la izquierda de f(x) = (x+1)²-4.

c) En la función f(x) = (x + 1)²-4 el vértice tiene un desplazamiento horizontal, 1 unidad hacia la izquierda.

d) el vértice de la función f(x) = (x + 1)²-4 está desplazado verticalmente, 4 unidades hacia abajo.

Answer:

(-14,-20)

Step-by-step explanation:

hope it helps!

Answer:

x=-14, y=-20

Step-by-step explanation:

To write linear density in Wileyplus, first identify the mass of the linear object, as well as the length of the linear object. Then, divide the mass by the length to calculate the linear density.

To write linear density in WileyPlus, you can use the following steps:

1. First, open the WileyPlus platform and navigate to the assignment or problem you are working on.

2. Next, identify the linear density equation you need to use. The most common equation for linear density is p = m/L, where p is the linear density, m is the mass, and L is the length.

3. Once you have identified the equation, input the values for the mass and length into the equation. For example, if the mass is 10 grams and the length is 2 meters, the equation would be p = 10/2.

4. Solve the equation to find the linear density. In this example, the linear density would be 5 grams per meter.

5. Finally, input the linear density into the appropriate field in WileyPlus. This may be a text box, a drop-down menu, or another type of input field.

By following these steps, you can easily write linear density in WileyPlus. Remember to always double-check your work and make sure that your answer is accurate and complete before submitting it.

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