A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?

The used study design was Cross-sectional.

Hence option D is correct.

Since we know that,

A cross-sectional study design is a type of observational study in which data is collected at one time point from a group of individuals to assess the prevalence of a particular characteristic or condition of interest.

In this case, the researchers conducted an anonymous survey on the first day of classes to determine the prevalence of smoking among new students in the university.

The prevalence of smoking was measured in both men and women, providing a snapshot of the current smoking habits of the study population.

Since the data was collected at a single point in time, this study design is classified as cross-sectional.

To determine the prevalence of smoking,

The researchers would have calculated the percentage of smokers in the study population.

Therefore, the prevalence of smoking among new students in the university is 22 percent among women and 28 percent among men.

Hence the study design is Cross-sectional.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ4

By using normal distribution of probability, it can be calculated that

13.59 %of men are between 64 and 66.5 inches tall

What is normal distribution of probability?

Normal distribution of probability is a continuous type probability distribution whose probability density function is given by

f(x) = \(\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}}\) where z = \(\frac{x - \mu}{\sigma}\)

\(\mu\) is the mean and \(\sigma\) is the standard deviation.

Here, normal distribution of probability is used

Mean = 69 inches

Standard deviation = 2.5 inches

P(64 < X < 66.5) = P(X <66.5) - P(X < 64)

For X < 64

z = \(\frac{64 - 69}{2.5}\) = -2

P(X < 64) = P(z < -2) = 0.0228

For X < 66.5

z = \(\frac{66.5 - 69}{2.5}\) = -1

P(X < 66.5) = P(z < -1) = 0.1587

P(64 < X < 66.5) = 0.1587 - 0.0228 = 0.1359

13.59 % men are between  64 and 66.5 inches tall

To learn more about normal distribution of probability, refer to the link-

https://brainly.com/question/4079902

#SPJ4

Answer:

the answer is twenty one

No; multiplication of polynomials is not necessarily commutative.

So, the correct answer is D.

The expressions given are not equal when simplified. To see why, we can use the distributive property of multiplication over addition to expand each expression.

For the first expression, we have:

(x³ − 5x²)(2x + 3) + (² − 4x) = 2x⁴ - 10x³ + 3x³ - 15x²+ x²- 4x = 2x⁴ - 7x³ - 14x² - 4x

For the second expression, we have:

(x² − 4x) + (2x + 3)(x³ − 5x²) = x² - 4x + 2x⁴ - 10x³ + 3x² - 15x = 2x⁴ - 10x³ + 4x² - 19x

As we can see, the two expressions are not the same.

To answer the question about whether the expressions would be equal if simplified, the correct answer is D.

This is because multiplication of polynomials is not necessarily commutative, meaning that the order in which we multiply the terms can affect the result.

Learn more about distributive properties at https://brainly.com/question/5637942

#SPJ11

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

Learn more on Point-slope form of the equation of a line here: https://brainly.com/question/11624671

#SPJ1

Answer:

The expression simplifies into 33-20x

Step-by-step explanation:

1. 9[-4(5x-6)] *Multiply the parentheses by -4

2. 9+24-20x *Combine like-terms

3. 33-20x

Answer:

Give image?

Step-by-step explanation:

Impossible = 0 (would never happen)

Certain = 1 (it's going to 100% happen)

Likely = 0.75 (it's going to happen +50%)

Unlikely = 0.25 (little chance it may happen)

Likely as not = 0.25 (it could happen but unknown outcome)

Answer:

14 cm

Step-by-step explanation:

1. Recognize that an isosceles triangle will have at least two equal sides. Given the wording of the problem, we can say that we have two equal sides of 4 cm and a third side of 6 cm

2. Define perimeter. The perimeter of a triangle is the length of the continuous line outlining the triangle

3. Add all three side lengths together (4 cm + 4 cm + 6 cm). This will equal 14 cm

The MATLAB function to calculate the cross products of two vectors is w = cross(v,u). The cross products of  v =  i + 2j + 3k and  u = 3i + 2j + k is -4i + 8j - 4k and the cross product of v =  -2i + j - 3k and  u = i + j + k is 4i - j - 3k.

The MATLAB syntax to calculate the cross product of two vectors or matrices is:

C = cross (A,B)

The arguments A and B should be vectors in length of 3 or matrices with the same dimension.

a) The given vectors are v =  i + 2j + 3k and  u = 3i + 2j + k

Hence, the  MATLAB syntax is:

v = [1 2 3];

u = [3 2 1];

w = cross(v,u)

And the results will be:

w = 1x3

      -4  8  -4

Hence,

v x u = -4i + 8j - 4k

b) a) The given vectors are v =  -2i + j - 3k and  u = i + j + k

Hence, the  MATLAB syntax is:

v = [-2 1 -3];

u = [1 1 1];

w = cross(v,u)

And the results will be:

w = 1x3

      4  -1  -3

Hence,

v x u = 4i - j - 3k

Learn more about cross product here:

https://brainly.com/question/14542172

#SPJ4

This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

Know more about percentile,

https://brainly.com/question/2416601

#SPJ12

Given the equation

Make x the subject and simplify

Hence, the value of x = -4/3 = -1 1/3

Answer: Yes, it will be enough.

Step-by-step explanation:

I will answer this in English:

We have 27 students and 81 units, we want to give 3 units to each student.

This is only possible if the quotient betwen 81 and 3 must be bigger than 27.

Lets do it:

81/3 = 27

So we have exactly enough for the 27 students.

Answer:

It seems as though your old question was deleted. XD

Step-by-step explanation:

Answer:

2     0     -2      -4

Step-by-step explanation:

pls give brainliest

Answer:

2,0,-2,-4

Step-by-step explanation:

For example

-2 x -3 = 6

6 - 4 = 2

-2 x -3 - 4 = 2

-2x - 4

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

Answer:90

Step-by-step explanation:

The distance between these cities on the map is 90 mm.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Cincinnati is about 225 miles from Cleveland and on scale 10 millimetres is equal to 25 miles.

The distance on the map will be calculated as,

25 miles = 10 mm

1 mile = 10 / 25 mm

225 miles = ( 225 x 10 ) / 25

225 miles = 90 mm

Therefore, the distance between these cities on the map is 90 mm.

To know more about an expression follow

https://brainly.com/question/20693129

#SPJ5

Answer:

x≤ 25.

Step-by-step explanation:

SO basically, the equation is x+-7≤ 18.  What you do is you use the equation to solve for x. So,  x+-7 is the same as x-7, so what you do is you add 7 from both sides to get x≤ 25.

Hope this helps:)

Answer:

It is C.

Step-by-step explanation:

First thing you would do is go through all the information and read the options then what you would do is see the labels and its will try to throw you off at A. saying that its Prizes instead of students that has won the prizes so there for

C. Six prizes were won by 4, 5, 6, or 7 students.

is your answer

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

To know more about matrix,

https://brainly.com/question/31494894

#SPJ11

The slope of the line is going to be m = 163.

Here, we have been told that the sum of the numbers is going to be -

= ∑\(w _{k}\)= 3 + 504i (i)

The other set of complex numbers is (z₁, z₂, ....\(z_{k}\)) and their sum is going to be = ∑\(z_{k}\)= 3 + 504i (ii)

If we write the number 3+504i in the standard form for complex numbers i.e., a+bi with respect to the summations, we get -

=  ∑\(a_{k}\)= 3 (III)

= ∑\(b_{k}\)= 504 (Iv)

The standard equation is of the form, y = mx+3. Substituting the polar coordinates, we get -

= \(b_{k}\) = m\(a_{k}\) + 3

Now, if we use all of the given values in equations (iii) and (iv) for k, we get -

= 504 = 3m + 15

Now, on simply solving for m, we get -

= 3m = 504 - 15 = 489

= m = 489/3

= m = 163

Henceforth, we find out that the slope of the line, m is 163.

The complete question that you might have been looking for is attached below.

Learn more about complex numbers on

https://brainly.com/question/20566728?referrer=searchResults

#SPJ4

1) The perimeter of the triangle is; 7a - 2

2) The perimeter of the trapezium is; 34a + 12

The perimeter of a regular shape is defined as the distance around the edge of that particular shape.

Thus;

1) We are given a triangle with length of sides as;

2a - 3, 2a, 3a + 1

Thus;

Perimeter = 2a - 3 + 2a + 3a + 1

= 7a - 2

2) We are given a Trapezium with length of sides as;

12a, 6a + 8, 10a - 4, 6a + 8

Thus;

Perimeter = 12a + 6a + 8 + 10a - 4 + 6a + 8

= 34a + 12

Read more about Regular Shape Perimeter at; https://brainly.com/question/397857

#SPJ1

The present value of $2,500 per year for 10 years discounted back to the present at 7 percent is $17,462.03.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = A * [1 - (1 + r)^(-n)] / r,

where PV is the present value, A is the annual payment, r is the discount rate per period, and n is the number of periods.

In this case, the annual payment is $2,500, the discount rate is 7 percent (or 0.07 as a decimal), and the number of periods is 10 years. Plugging in these values into the formula, we can calculate the present value:

PV = $2,500 * [1 - (1 + 0.07)^(-10)] / 0.07 ≈ $17,462.03.

Therefore, the present value of $2,500 per year for 10 years discounted back to the present at 7 percent is approximately $17,462.03. This represents the amount of money needed in the present to be equivalent to receiving $2,500 per year for 10 years with a 7 percent discount rate.

Learn more about percentile here: brainly.com/question/1594020

#SPJ11

Answer:

Width: 90m

Length: 120m

Step-by-step explanation:

Width = 3/4x

Length = x

2(3/4x) + 2x = 420m

6/4 x + 2x = 420m. (6/4 + 2 = 7/2)

7/2x = 420m

7x = (420)*(2)

x = 840/7 = 120

Width = (120)*(3/4) = 90

Length: 120

2(90)+2(120)= 420m

Answer:

sorry if im late but its the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

The expression of number of people entering on Saturdays = 508x-70

The expression of number of people entering on Sundays = 405x-26

total amount of people entering the theme park that weekend = Total entering on Saturday + total entering on Sunday

Substitute the expression;

total amount = 508x - 70 +(405x-26)

total amount = 508x+405x-70-26

total amount = 913x - 96

Hence the total amount of people entering the theme park that weekend is 913x - 96

JKL occupies \(\frac{112}{360}\) of the circle.

Radius of the circle is 7 units.

First, we'll have to find the area of the circle.

\(\large\boxed{Formula: a= \pi {r}^{2}}\)

Let's solve!

Let's substitute the values according to the formula.

We are finding it in terms of pi.

\(a= 7×7\)

\(a= 49 \pi\)

Now, we can find the area of sector JKL.

\(= \frac{112}{360}× 49 \pi\)

\(= 47.89183467 \: {units}^{2}\)

Now, we'll have to round off to the nearest hundredth.

The value in thousandths place is less than 5 so we won't have to round up.

Final answer:

\(\large\boxed{a= 47.89 \: {units}^{2}}\)

Hence, the area of sector JKL is 47.89 square units.

The equation expressing y as a function of t is y(t) = A * sin(B(t - C)) + D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

To express y as a function of t, we can use a sinusoidal function due to the given information that y varies sinusoidally with time. The general form of a sinusoidal function is y(t) = A * sin(B(t - C)) + D, where A represents the amplitude, B represents the frequency, C represents the phase shift, and D represents the vertical shift.

In this scenario, we are provided with the deepest point at t = 4 min, where y = -1000 m, and the shallowest point at t = 9 min, where y = -200 m. These points allow us to determine the amplitude and vertical shift of the sinusoidal function. The amplitude is the absolute value of half the difference between the deepest and shallowest points, which in this case is |(-1000 - (-200))/2| = 400 m. The vertical shift is the average of the deepest and shallowest points, which is (-1000 + (-200))/2 = -600 m.

The frequency and phase shift are not explicitly given in the problem statement. Without this information, it is not possible to determine the specific values of B and C. Therefore, the equation expressing y as a function of t becomes y(t) = A * sin(B(t - C)) + D, where A = 400 and D = -600. The variables B and C would depend on the specific characteristics of the porpoising motion, which are not provided in the problem.

Learn more about Frequency : brainly.com/question/27884844

#SPJ11

Answer:

C= 2pi-r

=2 x 3.14 x 7

= 43.96 cm

The money factor that will be used to calculate the bonus payment for Bob's car lease is 0.00192. This can be calculated by dividing the interest rate of 8% by 2,400.

The money factor is a measure of the interest rate on a car lease. It is expressed as a decimal, and is typically much lower than the interest rate on a car loan. The money factor is used to calculate the monthly lease payment, and also to determine the amount of the bonus payment that can be made at the end of the lease. To calculate the money factor, we can use the following formula: Money factor = Interest rate / 2,400. In this case, the interest rate is 8%, so the money factor is: Money factor = 8% / 2,400 = 0.00192.

To know more about money factors here: brainly.com/question/30239936

#SPJ11

Answer: C≈44.61mm

Step-by-step explanation: