a random sample of 30 gvsu students spent an average of $15.00 on food at a grand rapids griffins hockey game with a standard deviation of $5.00. what is the population of interest?

Answer:

Ok:

Step-by-step explanation:

The formula is \(\frac{y_2-y_1}{x_2-x_1}\). Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.

a. The solution to the system of equations is: (4, 12).

b. The graph is shown below.

c. (4, 12) is the point of intersection. It confirms the solution from part a.

The solution of a system of equations can be described as the value of x and y of a point, that makes both equations true. It is the point where the two lines of the equations of the system intersect.

If we are given two tables, the ordered pair that appears in both table is considered the solution of the system.

a. The ordered pair, (4, 12) appears in both tables. Therefore, the solution is: (4, 12).

b. The graph of the ordered pairs from each table are sketched in the image shown below, where the green line is for the first table, and the blue line is for the second table.

c. The point of intersection of the graph is (4, 12), this confirms the solution from part a.

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Answer:

- ∞ < x < ∞

Step-by-step explanation:

There is no restriction on the domain of x; x is the set of all real numbers which is - ∞ < x < ∞

The domain of the function is all real numbers , D ( ∞ , ∞ )

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

y = ∛x

The cube root function y = ³√x is defined for all real numbers.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

In other words, the domain of the function y = ³√x is all  real numbers

Hence , the domain of the function y = ³√x is ( ∞ , ∞ )

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1. is a function because no 2 Ys have different Xs

2. is a function because each X only has 1 Y

3 is not a function because a X has more than 1 Y

Answer: y=-6/5x+3

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula \(m=\frac{y_2-y_1}{x_2-x_1}\), then solve for the y-intercept.

\(m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}\)

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

15=-6/5(-10)+b        [multiply]

15=12+b                   [subtract both sides by 12]

b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.

Answer:

B. 16/25

Step-by-step explanation:

6

10

+

4

100

=  

6 × 10

10 × 10

+

4

100

=  

60

100

+

4

100

=  

60 + 4

100

=  

64

100

=  

64 ÷ 4

100 ÷ 4

=  

16

25

Answer:

\(\huge\boxed{\sf \frac{16}{25} }\)

Step-by-step explanation:

\(\displaystyle \frac{6}{10} +\frac{4}{100}\)

To equalize the denominator, we will have to multiply the fraction 6/10 by 10.

\(\displaystyle =\frac{6 \times 10}{10 \times 10} +\frac{4}{100} \\\\\ =\frac{60}{100} +\frac{4}{100}\)

Now, that the denominator is equal, we can add both the fractions.

\(\displaystyle= \frac{60+4}{100} \\\\=\frac{64}{100}\)

Divide both numerator and denominator by 2.

\(\displaystyle = \frac{64 \div 2}{100 \div 2} \\\\= \frac{32}{50}\)

Divide again.

\(\displaystyle= \frac{32 \div 2}{50 \div 2} \\\\= \frac{16}{25} \\\\\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

P=a+b+c

Right scalene triangle.

Sides: a = 21   b = 8   c = 22.472

Area: T = 84

Perimeter: p = 51.472

Semiperimeter: s = 25.736

Angle ∠ A = α = 69.146° = 69°8'44″ = 1.207 rad

Angle ∠ B = β = 20.854° = 20°51'16″ = 0.364 rad

Angle ∠ C = γ = 90° = 1.571 rad

Height: ha = 8

Height: hb = 21

Height: hc = 7.476

Median: ma = 13.2

Median: mb = 21.378

Median: mc = 11.236

Inradius: r = 3.264

Circumradius: R = 11.236

Vertex coordinates: A[22.472; 0] B[0; 0] C[19.624; 7.476]

Centroid: CG[14.032; 2.492]

Coordinates of the circumscribed circle: U[11.236; -0]

Coordinates of the inscribed circle: I[17.736; 3.264]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 110.854° = 110°51'16″ = 1.207 rad

∠ B' = β' = 159.146° = 159°8'44″ = 0.364 rad

∠ C' = γ' = 90° = 1.571 rad

The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.

Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.

To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.

To find the probability of both events occurring, we multiply the individual probabilities:

P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.

Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.

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The slope-intercept form of this table is y = 3x - 10.

In Mathematics, the point-slope form of any straight line can be determined by using the following mathematical expression:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\) or y - y₁ = m(x - x₁)

Where:

At point (25, 65), an equation of this line in slope-intercept form can be calculated by using the point-slope form:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

\(y - 65 = \frac{(68- 65)}{(26 - 25)}(x - 25)\)

y - 65 = 3(x - 25)

y = 3x - 75 + 65

y = 3x - 10.

In this context, we can reasonably infer and logically deduce that an equation of the line that represents this table in slope-intercept form is y = 3x - 10.

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By using normal distribution of probability, it is obtained that

92.4% of phone are eligible for free gift

What is normal distribution of probability?

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

P(X > 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 it is given that the prices of the cell phones manufactured by Ahmadi are normally distributed

Mean = $98

Standard deviation = 12

P(x \(\geq\) 81.8) = P(z \(\geq\) \(\frac{81.8 - 98}{12}\)) = P(z \(\geq\)  -1.35) = 0 .924

So 92.4% of phone are eligible for free gift

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The probability that a randomly selected attendee has been to England, if it is known that they have been to Germany is 3/20.

Event e : the attendee has been to Germany

Event g : the attendee has been to both, England as well as Germany

Let the total number of attendees in a conference is = x

Hence, % of attendees been to Germany = 75% = 0.75x

And, % of attendees been to both England as well as Germany = 15% = 0.15x

The probability of selecting a random attendee who has been to England and Germany is:

P = 0.15x/x = 0.15/1 = 15/100 = 3/20

Hence, the probability that a randomly selected attendee is 3/20.

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Step-by-step explanation:

it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).

we know how to calculate the area of a square "As"

As = side²

we know how to calculate the area of a circle "Ac"

Ac = pi×radius²

so, the shaded area "Ashade"

Ashade = side² - pi×radius² = 20² - pi×10² =

= 400 - pi×100 = 85.84073464... ft²

I don't know, if you need to round the answer in some way.

if it is to e.g. 2 digits after the decimal point (hundredths), then it would be

85.84 ft²

Factor of the expression 18n - 30 using the greatest common factor of the terms is A 6(3n - 5)

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).

We are given that  the expression 18n - 30

WE need to find Factor of the expression 18n - 30 using the greatest common factor of the terms.

then;

18n - 30

18 = 6 x 3

30 = 6 x 5

Factor out the common part;

6(3n - 5)

Therefore, the correct option is A

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Please find attached photograph for your answers.

Answer:

The ratio of x-values to y-values in the table is 2:3

Step-by-step explanation:

8 / 12 = 2/3

10 / 15 = 2/3

12 / 18 = 2/3

Each has a ratio of 2 to 3.

Option B is the most appropriate description of the term "average waiting-time."

The term "average waiting-time" refers to the average amount of time or number of trials needed until a desired event or success occurs. In the context of probability or statistical analysis, it is commonly used to measure the expected or typical duration of waiting for a specific outcome to happen.

Option B accurately captures this concept by stating that the average waiting-time is calculated by summing up all the individual waiting times or trials until the first success is achieved, and then finding the average of those values. This means that each waiting time or trial is included in the calculation, and the average waiting-time provides an estimate of the typical amount of time or number of trials needed to reach the desired outcome.

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Let X be the height of women in college. We are told that this variable is distributed as a normal distribution with mean 65 and a standard deviation of 2.5. To solve this problem, we will use a standard normal distribution table. So, the first step is to transform X to a variable Z where Z is a standar normal distribution. We do this by subtracting the mean and dividing by the standard deviation.

Recall that the problem is asking the following probability P(61<=X <= 68).

So, now, lets subtract 65 to the inequality, we get

P(-4<=X-65<=3). Now, we divide everything by the standard deviation, so we get

Now, call Z = (X-65)/2.5. With this transformation Z is distributed now with a standard normal distribution. So the question to answer is

P(-1.6<=Z<=1.2)

This translates to calculating the area under the curve as follows

We can picture two areas

So the area we want to calculate is the sames as the red area minus the blue area. Then, we have the following

Using a standard deviation table, we have that P(Z<=1.2) = 0.8849 and P(Z<=-1.6) = 0.1446

Then

which means that 74.03% of women in college have a height between 61 and 68 inches

Answer:

\(\frac{3}{5}\)

0.6

60%

Step-by-step explanation:

Answer:

what the????????..........

Answer:

C

Step-by-step explanation:

Since, They are the 2 most ones there.

Journal articles and research reports are widely recognized as the most common types of secondary sources used in education. In the field of education, secondary sources play a crucial role in providing researchers and educators with valuable information and scholarly insights.

Among the various types of secondary sources, journal articles and research reports hold a prominent position. These sources are often peer-reviewed and published in reputable academic journals or research institutions. They provide detailed accounts of research studies, experiments, analyses, and findings conducted by experts in the field. Journal articles and research reports serve as reliable references for educators and researchers, offering up-to-date information and contributing to the advancement of knowledge in the education domain. Their prevalence and credibility make them highly valued and frequently consulted secondary sources in educational settings.

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On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

The explicit formula for the sequence 3, 6, 9, 12, 15, ... is:

T(n) = 3n, where n is a positive integer.

Each term in the sequence is obtained by adding 3 to the previous term. So, the nth term can be written as:

T(n) = T(n-1) + 3

Starting with T(1) = 3, we can recursively apply this formula to find each term:

T(2) = T(1) + 3 = 3 + 3 = 6

T(3) = T(2) + 3 = 6 + 3 = 9

T(4) = T(3) + 3 = 9 + 3 = 12

and so on...

We can also see that each term is 3 more than (n-1) times 3:

T(n) = 3(n-1) + 3

Simplifying this formula gives:

T(n) = 3n.

Answer:

A=270 in^2

Step-by-step explanation:

A=d1*d2/2 formula for A using the diagonals

A=45*12/2

A=540/2

A=270 in^2

Answer:

60

Step-by-step explanation:

Central angle = intercepted arc

Jim's employer's total payroll tax liability for the period is $597.38.

To calculate Jim's employer's total payroll tax liability, we need to consider FICA, Medicare, and withholding tax.

First, let's calculate the gross pay for Jim:

Gross pay = Hours worked * Hourly rate = 65 * $11.00 = $715.00

Next, let's calculate the FICA tax:

FICA tax = Gross pay * FICA rate = $715.00 * 6.2% = $44.33

Then, let's calculate the Medicare tax:

Medicare tax = Gross pay * Medicare rate = $715.00 * 1.45% = $10.34

Now, let's calculate the withholding tax:

Withholding tax = Gross pay * Withholding rate = $715.00 * 10% = $71.50

Finally, let's calculate the total payroll tax liability:

Total payroll tax liability = FICA tax + Medicare tax + Withholding tax

= $44.33 + $10.34 + $71.50

= $126.17

Therefore, Jim's employer's total payroll tax liability for the period is $126.17.

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Answer:

0

Step-by-step explanation:

7 + 5 - 15 -(-3)

=> 12 - 15 + 3

=> 12 - 12

=> 0