Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.

Answer:

First one, the answer could be 1, 2, or 3, because the fraction you made is less than one. Second one, the answer could be any number above 4 (5, 6, 7, and so forth), because the fraction you made is greater than one.

Random sampling do not complicates the analysis of cross-sectional data

Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.

There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.

A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.

Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.

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Using the Factor Theorem, the polynomial function that has leading coefficient of 3 and the given roots is given as follows:

f(x) = 3x³ - 12x² - 6x + 24.

The Factor Theorem states that a polynomial function with roots(also called zeros) [tex]x_1, x_2, \codts, x_n[/tex] is given by the rule presented as follows.

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

a is the leading coefficient of the function f(x), determining if it is positive(a positive) or negative(a negative).

In the context of this problem, the leading coefficient and the roots are given as follows:

f(x) = 3(x - 4)(x - sqrt(2))(x + sqrt(2))

Applying the subtraction of perfect squares, the square root is simplified as follows:

(x - sqrt(2))(x + sqrt(2)) = x² - 2.

Hence the function is defined as follows:

f(x) = 3(x - 4)(x² - 2)

f(x) = 3(x³ - 4x² - 2x + 8)

f(x) = 3x³ - 12x² - 6x + 24.

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After solving 4sin²(x) - 8sin²(x/2), we get 4(cos(x) - cos²(x)) as an answer i.e, option (A) is the answer.

Trigonometry expression : 4sin²(x) - 8sin²(x/2)

What is Trigonometry expression?

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosec , cosine , cotangent , secant , sine , and tan.

Given expression, 4sin²(x) - 8sin²(x/2)

=> 4(sin²(x) - 2sin²(x/2))

=> 4(sin²x - 2(√(1 - cos x) / 2)²)

=> 4(sin²x - 2(1 - cos x) / 2)

=> 4(1 - cos²x - 1 + cos x)

=> 4(cos(x) - cos²(x))

Therefore, the answer is option(a) i.e,4(cos(x) - cos²(x)).

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Answer: w = -6

Step-by-step explanation:

-30 = 3(w + 6) + 5w

-30 = 3w + 18 + 5w

-30 = 8w + 18

-48 = 8w

w = -6

Hope this helps

The answer for the missing piece is to 'find' the variable.

The difference or distance between the two points is 5768ft

To solve this problem, we have to find the difference between the highest point and lowest point of the county.

When the height of a point is its vertical distance above or below the surface of a reference plane* you have selected, it is called the elevation* of that point.

When the height of a point is its vertical distance above or below mean sea level (as the reference plane), it is called the altitude* of the point.

The difference between the points of elevation in this question is

[tex]5776 - 8 = 5768ft[/tex]

The difference in elevation is given as 5768ft

The complete question is-

At the highest point, the elevation of a county is 5,667 feet above sea level. At its lowest the elevation of the county is 7 feet below sea level. Answer parts a through c. Write an expression using integers to represent the difference between the elevations.

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(0,0) is a saddle point and (1,1) is a local minimum.

From the contour map, the level curves intersect at (0,0) . Hence (0,0) is a saddle point.

and the center of level curve 3.2 (1,1) is a local minimum.

Hence (0,0) is a saddle point and (1,1) is a local minimum.

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c is 10,000 percent of a.

Here we are given that a is 4 percent of b and b is 25 percent of c.

Let us assume the value of c to be x

Then the value of b will be-

25 percent of x

= (25/100)x

= (1/4)x

= x/4

Now, the value of a will be-

4 percent of b

= 4 percent of x/4

= ( 4/100 )( x/4 )

= x/100

Thus, we have a = x/100 and c = x

Hence, the value of c as a percent of a can be calculated as follows-

x/( x/100 )*100

= ( 100x/x )*100

= 100*100

= 10,000

Thus, c is 10,000 percent of a.

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Let's begin by listing out the information given to us:

When this is glided by T(-1, 1); ry−axis(x, y) → (−x, y)

The surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions.

Surface area=6(3.4)^2=69.36 square feet

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

A 3D object's surface area is the entire area that all of its faces cover. For instance, if we need to calculate how much paint is required to paint a cube, we can use the cube's surface area. determine how much paint is needed to paint it. It is consistently expressed in square units.

As a refresher, the surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions.

Surface area=6(3.4)^2=69.36 square feet

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Answer: Yes, it is proportional because the ratios for dollars per hour are all equivalent to 13 dollars per hour.

Step-by-step explanation:

By multiplying all of the hours by 13 they equal the pay in dollars therefore we can conclude that the ratio is proportional because all of the ratios are equal and the dollars per hour are equivalent to 13 dollars per hour.

Answer:

510 by 2 is 255

255 by 2 is 127.5

127.5=63.75.63.75 by 2=31.875

31.875. by 2=15.9375

15.9375 by 2=7.96875

512 by 2=256

256 by 2=128

128 by 2=64

64 by 2=32

32 by 2=16

Since each serving contains 2/5 of a pound, then, the total weight of x servings would be:

If the total weight of x servings should be equal to the weight of the turkey, then:

Multiply both sides of the equation by 5/2:

Simplify the expressions on both sides of the equation:

Therefore, the number of adult servings from a 10 pound turkey, will be 25.

The money in his bank account after the deposit is $12.09.

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The equation that models the balance of the payment plan loan, y, after x months is y = -125x + 1900.

An equation is a mathematical statement claiming that two mathematical expressions are equal or equivalent.

Equations are depicted using the equation sign (=) to show the equality of values.

y = mx+b

y = y-coordinate

m = slope

x = x coordinate

b = y-intercept

Payment Period                        Balance

12 months                                   $1,900

9 months (3 months after)         $1,525

4 months (8 months after)           $900

Let 12m = 1900 ... Equation 1

9m = 1525 ... Equation 2

4m = 900 ... Equation 3

Subtract Equation 3 from Equation 1:

12m = 1900

- 4m = 900

= 8m = 1000

m = 125 (1000/8)

Equation modeling the balance y after x months:

y = -125x + 1900

Thus, a model equation for the balance of the payment plan loan after x months is y = -125x + 1900.

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Answer:

I would go for y in the first equation

Step-by-step explanation:

You get y from the first equation I guess. The question is a bit confusing though.

The amount 42,400 at 13% for 2 years will be 53,424 in total with the interest 11,024.

we calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.
The simple interest calculated by the following mathematical formula:

A = P (1+rt)

P = Principal Amount

R = Rate of interest

t = Number of years

A = Total accrued amount (Both principal and the interest)

Interest = A – P.

A= 42,400(1+0.13×2)

A= 53,424

Interest = A-P

53,424- 42,400 = 11,024.

Thus the amount will be  53,424 and Interest will be 11,024.

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The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.

Amount is the total money paid back at the end of the time period for which it was borrowed.

The total amount formula in case of simple interest can also be written as: A = P + SI, where P = Principal and SI = Simple Interest.

In this question,

P =  ₹ 42400

R =  13%

T = 2 years

SI = P x R x T / 100

= 42400 x 13 x 2 / 100

= 424 x 13 x 2

SI = ₹ 11024

Amount = P + SI

            = ₹(42400 + 11024)

            = ₹ 53424

The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.

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The function is f(x)=(x³+3x²-x-3)/(x²-1). The continuous function option A is correct.

Given that,

The function is f(x)=(x³+3x²-x-3)/(x²-1)

We have find the continuous function.

If the function's curve DOES NOT break at the point x = a, it is said to be a continuous function at that point in calculus. The mathematical definition of a function's continuity is given below. If x = a, then f(x) is continuous at that moment.

f(a) exists;

limₓ → ₐ f(x) exists;

limₓ → ₐ₋ f(x) = limₓ → ₐ₊ f(x) and

Both of the above values are equal.

Now, limₓ → ₐ f(x) = f(a).

The function g(x)=[tex]\left \{ {{\frac{x^{3}+3x^{2}-x-3 }{x^{2} -1} }, x\neq -1,1 \atop {-2, x=-1,1}} \right.[/tex]

Therefore, the continuous function option A is correct.

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Basically we need to find the distance between A and B, so:

Answer:

84%

Step-by-step explanation:

To solve this, the equation to find percent is AMOUNT divided by the TOTAL * 100. So 42 questions were right, divided by the total, 50. Therefore it would be 0.84 * 100, 84%

Using the given trigonometric identity, the cosine of the angle in the second quadrant is given by:

cos(A) = 0.9682.

The cosine and the sine of the angle are related according to the following relation:

sin²(A) + cos²(A) = 1.

Hence, knowing the sine of the angle, as we do in this problem, we can find the cosine of the same angle solving the above equality.

The value of the sine of angle A is given by:

sin(A) = 1/4.

Hence the equation can be solved for the cosine as follows:

cos²(A) = 1 - sin²(A)

cos²(A) = 1 - (1/4)²

cos²(A) = 1 - (1/16)

cos²(A) = (16/16) - (1/16)

cos²(A) = 15/16

The inverse of the square is the square root, hence:

cos(A) = ± sqrt(15/16)

In the second quadrant, the cosine is negative, hence:

cos(A) = -sqrt(15/16)

cos(A) = -0.9682.

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The easiest way to solve this is to write the line in slope-intercept form.

The slope intercept is of the form:

Where a is the slope of the line, any lines that ahve the same slope are parallel.

Then, we solve for y the equation of the line given:

The slope of the line in the problem is 8/7. Then if we look at the options, the only one that has a slope of 8/7 is option B, which is the correct answer.

The cost of building a house with the area 5,425 square feet is $763,125.

The given function is C(x)=85,000+125x.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, x represents the area of a house is 5,425 square feet.

Put x=5425 in the given function, that is

The total cost = C(5425)=85,000+125 × 5425

= $763,125

Therefore, the cost of building a house with the area 5,425 square feet is $763,125.

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Answer:

Step-by-step explanation:

I think the answer is 1/6.

There are six sides and only one side has a 5 on it.

So, one side with a five/six sides in total

The value of the equation illustrated by E = 50q + 80000 is 5248000.

Simply put, an equation shows the relationship that exist between the variables that are given.

The equation given is illustrated as:

E = 50q + 80000

where q = (80p + 100000)

Substitute q into the equation

E = 50q + 80000

E = 50(80q + 100000) + 80000

E = 4000p + 5000000 + 8000

E = 4000p + 5080000

Substitute 42 for p

E = 4000(42) + 5080000

E = 168000 + 5080000

E = 5248000

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Answer

CIAD

Step-by-step explanation

The Pythagorean theorem states:

where a and b are the legs and c is the hypotenuse of a right triangle.

Applying this theorem to triangle 1:

Then, the first letter is C.

Applying the theorem to triangle 2:

Then, the second letter is I.

Applying the theorem to triangle 3:

Then, the third letter is A.

Applying the theorem to triangle 4:

Then, the fourth letter is D.