Determine the appropriate test to be used in the next statements.

An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.
A meteorologist wants to know if East and West Australia have the same distribution of storms.
A pharmaceutical company is interested in the relationship between age and presentation of symptoms for a common viral infection. A random sample is taken of 500 people with the infection across different age groups.
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.
A marathon runner is interested in the relationship between the brand of shoes runners wear and their run times. She takes a random sample of 50 runners and records their run times as well as the brand of shoes they were wearing.

The median is 5.

The median is 11.

The data set is bimodal.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(13 + 13 −5 −5 + 13 + 11 −5) / 7 = 35/7 =5

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

-5, -5, -5, 11,  13,13, 13

Median = 11

A bimodal data set is a distribution with two clear most frequent values.

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Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions

The given graph contains 2 straight lines. passing through the y- axis.

The graphed lines has np solution since they do not have any point of intersection on the place. They are known as parallel lines.

Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions

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Answer:

[tex]\frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3} + \sqrt{5} = [/tex]

[tex] = \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )[/tex]

[tex]= \frac{2}{3} + \frac{3 \sqrt{5} }{3} [/tex]

[tex]= \frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]

The interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%

The formula for calculating amount is expressed as;

Amount = Principal + Simple interest

Given the following

Amount = $7000

Principal = $3500

time =10 years

Substitute

7000 = 3500 + 3500(R)(10)

3500 = 35000R
R = 3500/35000
R = 0.1

Hence the interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%

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The table which shows that y vary directly with x is the first table, second table and third table.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the first table, using the points (1, 3) and (3, 9):

y = 3x

From the second table, using the points (-4, -2) and (-2, -1):

y = (1/2)x

From the third table, using the points (-2, 2) and (-1, 1):

y = -x

The table which shows that y vary directly with x is the first table, second table and third table.

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Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:

[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex]

Slope is a relationship of the change in the dependent variable (y) and the change in the independent variable (x). In this question we should present the correct definition for slope, which is described below:

Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:

[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex]     (1)

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The expression which equals 24 is (4 + 2) (3) . Option B

Given the following expression

Let's evaluate each of them. we have

(2 + 4)(3) = 6× 3 = 18

(4 x 2)(3) = 8 × 3 = 24

(4 - 2) + 3 (4 + 3) - 2 = 2 + 3(7) -2 = 2 + 21 - 2 = 23 -2 = 21

Thus, the expression which equals 24 is (4 + 2) (3) . Option B

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Based on the level of seniority of Mary Beth's unit, the correct conclusions on who will be terminated is:

Cheryl will be terminated because both Fred and Mike have seniority over them which means that they are at least third in seniority.

However, we cannot tell who will be terminated between Mike and Sue because the relationship between them is undefined. Fred is safe from termination, however.

The rest of this question is:

1. Mike will be terminated

A)True

B)False

C)Unknown

2. Sue will be terminated

A)True

B)False

C)Unknown

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(a) The arc length of each of the two smaller semicircles is [tex]4\pi[/tex], and the arc length of each of the two larger semicircles is [tex]15\pi[/tex]. Therefore, the perimeter is [tex]2(4\pi)+2(15\pi)=38\pi[/tex].

(b) The area of each of the smaller semicircles is [tex]\frac{1}{2}(\pi)(4^2)=8\pi[/tex], and the areaof each of the larger semicircles is [tex]\frac{1}{2}(\pi)(15^2)}=\frac{225\pi}{2}[/tex].

So, the combined areas of the four semicircles is [tex]241\pi[/tex].

The area of the rectangle is 60, so the total area is [tex]241\pi+60[/tex].

Answer:

The last one [tex](x=11.3, y=8)[/tex].

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

[tex]sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}[/tex]

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use [tex]sin()=\frac{opposite}{hypotenuse}[/tex].

[tex]sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31[/tex]

Find y.

Notice that, we can use the Pythagorean Theorem [tex](c^2=a^2+b^2)[/tex] to find y.

[tex]c^2=a^2+b^2[/tex]

[tex]11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99[/tex]

3) Round them off to the nearest tenth.

[tex]x=11.31\\x=11.3[/tex]

[tex]y=7.99\\y=8[/tex]

Therefore, the correct choice is the last one [tex](x=11.3, y=8)[/tex].

Answer:

8x - x = 70

Step-by-step explanation:

x equals 10 because,

8 x 10 = 80

and x = 10, so 80 - 10 = 70.

The comparison and contrast between a square and an equilateral triangle are stated and explained below:

What is a square? A square is a plane shape with an equal length of sides. This implies that the measure of its length is the same as that of its breadth.

What is an equilateral triangle? A triangle is a plane shape with three sides, and a sum of its internal angles to equal [tex]180^{o}[/tex]. Thus an equilateral triangle is a type of triangle with equal lengths of sides, and therefore equal internal angles.

Comparison: i. The two shapes have equal lengths of sides.

ii. An equilateral triangle and a square are examples of plane shapes.

Contrast: i. An equilateral triangle has three sides, while a square has four sides.

ii. An equilateral triangle has three internal angles, while a square has four internal angles which are right angles.

iii. The sum of internal angles of an equilateral triangle is [tex]180^{o}[/tex], while that of a square is [tex]360^{o}[/tex].

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Kindly get 1-on-1 help from an expert tutor for more explanations if required.

Answer:

A square has degrees that add up to 360 but an equilateral triangle only adds up to 180

Step-by-step explanation:

Answer:

The answer is $0.36

Step-by-step explanation:

The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.

Herein we have an application of direct proportionality model, now described:

y = k · x     (1)

Where:

If we know that x = 830 EUR and k = 0.908 USD/EUR, then the cost of the bookcase in the United States is:

y = (830 EUR) · (0.908 USD/EUR)

y = 753.64 USD

The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.

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Answer:

x = 9 & y = 29

Step-by-step explanation:

Since we know that 7x is next to 117, that area will be equal to 180*,

7x + 117 = 180

7x = 180-117

7x=63

x=9

to find y, you can use the same method, just by finding the other angle inside. 53+7(9) + z = 180

53+63 = 180

116+z = 180

z = 180-116

z = 64.

Then we do

4y + 64 = 180

4y = 180-64

4y=116

y = 29

Option 1 is correct. The point T is the number of books and their cost where the subscription with the annual fee costs less.

At y1 = 96

y2 = 30

The service  charge is said to be 3 dollar

We have that y1 is less than y2. This is because 30 is less than 92.

From this we have to conclude that it is the first option. This is because 3 dollars would be charged or less than that.

Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed  dollar annual fee and the other which charges  dollars per book he borrows. Here's a graph that shows a system of equations for this scenario where  is the number of books Aaden borrows and y is the total cost of the subscription. ks) What does point T represent in this ? Choose 1 answer:

A number of books and their cost where the subscription with the annual fee costs less

A number of books and their cost where the subscription that charges per book costs less  of

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9680 smart phones of total 20465 sold smart phones would be made by Apple.

Percentage is a mathematical measurement of any mathematical quantity or number or another measurement out of a total of 100.

Here given that in the US 47.3% of smart phones sold are made by Apple.

And in one day 20465 phones are sold.

So,

Out of 100 sold smartphones, 47.3 phones are made by Apple.

then out of 1 sold smartphone 47.3/100 phones are made by Apple.

Hence out of 20465 smartphones (10465*(47.3/100)) = 9679.945 phones are made by Apple.

Since number of sold smart phone cannot be in decimal number in real, it always a whole number.

Approximating to the nearest whole number we get out of 20465 sold smart phones in one day, 9679.945 = 9680 smart phones are made by Apple.

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By evaluating in x = π/3, we conclude that the correct option is C.

By looking at the graph, we can see that the function becomes zero when:

x = π/3

Now, this is really trivial.

Just evaluate the four options in x = π/3, and see which ones become equal to zero, and discard the others.

By doing that, you will see that the only option that becomes zero when evaluated in x = π/3 is option C.

[tex]y = 3*sin(2(x - \frac{\pi}{3} ))[/tex]

Then we conclude that it is the only option that can be the correct one.

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Answer:

A. Coffee 4C below the freezing point

Step-by-step explanation:

Negative temperature when talking about water means below the freezing point (below 0). Look up number line. Negative 4 is below 0 whereas positive 4 is above 0. Thus, option A is the best answer

Answer:

A

Step-by-step explanation:

This is because negative number start below zero and since water freezes at zero degrees celsius, Mia's iced coffee is below the freezing point.

Answer:

B. )The graph of g(x) is a translation of the graph of f(x) right 6 units.

Step-by-step explanation:

When a positive number is directly added to an "x" variable (usually inside of parentheses), the graph is shifted to the left that many units.

When a negative number is directly added to an "x" variable, the graph is shifted to the right that many units.

A graph shifts up or down when a positive or negative number is added to the overall function. For example, if the -6 were outside of the parentheses, the graph would be translated 6 units downwards.

Answer:

C. 31.64

Step-by-step explanation:

23 = sin(36) × Hypotenuse

Hypotenuse is the baseline between the angles 36° and 54°.

Hypotenuse = 23/sin(36)

x = cos(36) × Hypotenuse

x = cos(36) × 23/sin(36) = cos(36)/sin(36) × 23 =

= 1/tan(36) × 23 = 23/tan(36) = 31.63686382... ≈

≈ 31.64

The approximate value of x in the diagram is,

⇒ x = 31.5

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now, We can formulate;

⇒ tan 36° = 23 / x

⇒ 0.73 = 23/x

⇒ x = 23 / 0.73

⇒ x = 31.5

Thus, The approximate value of x in the diagram is,

⇒ x = 31.5

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$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of fund at 10% and y represent the amount of fund at 7% interest, hence:

x + y = 160000   (1)

Also:

0.1x + 0.07y = 13750    (2)

From both equations:

x = 85000 and y = 75000

$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.

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Answer:

10.4

Step-by-step explanation:

So an exponential equation with a decay can be expressed as: [tex]f(x)=a(1-r)^t[/tex] where r is the decay rate. In this case is decreasing at 4% each year, this means that the r is equal to 0.04 (divide the percent by 100 to convert to decimal). So the equation is going to be: [tex]f(x)=a(0.96)^t[/tex]. The reason this works is because whenever you decrease by x%, the new value is (1-x)%, which is expressed in the formula. But the reason the exponent is there is because after 1 year it's going to be 0.96a, but after two years, it's going to be 0.96 the previous year which is 0.96a, so after two years it's going to be 0.96(0.96a), and then the next year it's 0.96 of the second year, which is then 0.96(0.96(0.96a))... and so on. So the amount of 0.96 increases as t increases. the a is going to be the initial amount, since then t=0, 0.96^0 will be equal to 1, which makes the expression a(1), which is just a. So this gives you the complete equation: [tex]p(x)=13000(0.96)^t[/tex]

Now to find when it's equal to 8,500 you need to start by setting it equal to 8,500 so I'll work through each step

Original Equation:

[tex]p(x)=13000(0.96)^t[/tex]

Set the equation equal to 8,500

[tex]8500=13000(0.96)^t[/tex]

Divide both sides by 13,000

[tex]0.653846\approx 0.96^t[/tex]

Rewrite in logarithmic form

[tex]log_{0.96}0.653846=t[/tex]

If you're calculator allows you to enter the base when calculating log, but this expression into your calculator to calculate the value of t, otherwise use the change of base formula

[tex]\text{change of base formula: }log_ba = \frac{log(a)}{log(b)}[/tex]

[tex]t=\frac{log0.653846}{log0.96}\\[/tex]

[tex]t\approx\frac{-0.1845}{-0.0177}[/tex]

[tex]t\approx10.4[/tex]

Answer:

The graph is shown above.

Answer:

B i think

Step-by-step explanation:

Answer:

They will meet at 3:04 p.m

Step-by-step explanation:

Since they are walking towards each other , that means we should add their speed together:

speed = 1.35 m/s + 1.65 m/s
           = 3 m/s

Now that we have found the speed, we can calculate the time:

time = 720 meters / 3 m/s
       = 240 seconds
       = 4 minutes ( 240 seconds is 4 minutes)

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

[tex]S'(t)=-24^{1/3}[/tex] SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given [tex]S'(t)=-24^{1/3}[/tex] ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from [tex]S'(t)=-24^{1/3}[/tex]

[tex]\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\[/tex]

On Integrating both sides

[tex]S(t)=-18t^{4/3}+c ~...~...~(2)[/tex]

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

[tex]\therefore[/tex]from eq (2)

[tex]S(t)=-18t^{4/3}+1200 ~...~...~(3)[/tex]

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) [tex]300=-18t^{4/3}+1200[/tex]

[tex]t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030[/tex]

Hence the company will continue 18.8020 months.

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The addition of the total choices selected in the test based on the assumed figures is 891.

Your question is incomplete and the complete question wasn't found online. An overview will be given. The assumed figures for A choices include the numbers from 20 to 46. In this case, the total of the numbers will be:

= 20 + 21 + 22 + 23 + 24 .... 46.

= 891

In conclusion, the correct option is 891.

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Answer:

(x/2 , 17/2)

Step-by-step explanation:

To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.

The x's are x for P1 and 0 for P2.

x+0 / 2

=x/2

This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.

8+9 / 2

= 17/2

This will be the y-coordinate of the midpoint.

The midpoint is:

(x/2 , 17/2)

You could also divide 17/2 and get 8.5 then the midpoint would be:

(x/2 , 8.5)

Answer:

Azda has the best value: 4.56

Step-by-step explanation:

azda sells three products for 1.14, so twelve products would cost 4.56(1.14 * 4)

tisco sells four products for 1.56, so twelve products would cost 4.68(1.56*3)

azda has the best value