16. The stem-and-leaf plot represents the amount of money a worker 10 0 0 36 earned (in dollars) the past 44 weeks. Use this plot to calculate the IQR 11 5 6 8 for the worker's weekly earnings. 12 1 2

Answer: It does make sense

Step-by-step explanation:

12*1/6= 12/6

12/6=2

James has written a correct if-then statement.

In an if-then statement the part following the "if" should be a hypothesis, and the part following the "then" should be a conclusion statement.

Considering the two of the given statements:

Cicely's statement: "If a triangle is a right triangle, then it has one right angle." is correct since the hypothesis and conclusion are both correct.

James's statement: "If a triangle has one right angle, then it is a right triangle." is also correct since the hypothesis and conclusion are both correct.

Now, comparing both the statements "If a triangle has one right angle" is a perfect hypothesis since it gives a condition which when followed gives the conclusion.

Hence, James has written a correct if-then statement.

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The central angle of the arc with a length of 11 units is 330°.

The length of an arc is expressed as;

Arc length = 2πr × (θ/360)

Also, the circumference of a circle is expressed as;

C = 2πr

Hence,

Arc length = circumference × (θ/360)

Given that;

Plug these values into the above formula and solve for the central angle θ.

11 = 12× (θ/360)

11 = 12θ/360

12θ = 11 × 360

12θ = 3960

θ = 3960 / 12

θ = 330°

Therefore, the central angle is 330 degree.

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The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

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Answer: (-6,-9)

Step-by-step explanation: you probably don't wanna read this but in case someone asks you about it- first start by putting the first equation into graphing form, turning it into 2y=-3x+12.

then you can go ahead and multiply the second equation by two to get 2(y=1/2x-6), which is 2y=x-12.

next, just subtraction! 2y=-3x+12 minus 2y=x-12!

You get -4x=24, which leaves you to divide both sides by -4 to get x=-6!

now to put in x for the solution, you take a equation(either one) and put in x

[y=1/2(-6)-6]

[y=-3-6]

[y=-9]

so your points are (-6,-9)

Answer:

around 66% of their games

Step-by-step explanation:

So if we add 20 and 10 we get 30 which is the total amount of games played. We know that the team won 20 of the 30 games which we can reduce to 2/3. 2/3 is equal to 66.66 but most people just say 66% or you can round it up to 67%

Hope I helped!

On the new planet, your mass will be the same. Therefore, the correct option is A.

The mass of an object is a fundamental property that remains constant regardless of the location or environment. Therefore, if you were to travel from Earth to a planet with an acceleration of gravity of 2.5 m/s², your mass would remain the same. Therefore, the correct answer is A: the same.

It is important to note that although the mass remains constant, the weight of the object may vary based on the strength of gravity. Weight is the measure of the force of gravity on an object, and it is directly proportional to the acceleration of gravity. As the acceleration of gravity increases, the weight of an object also increases.

Note: The question is incomplete. The complete question probably is: Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s. On the new planet, your mass will be about a. a) the same b. b) 7 times its value on Earth c. c) 2 times its value on Earth d. d) 4 times its value on Earth.

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Answer: The answer is 8 days

Step-by-step explanation:

this is the last step you do

16/2    2/2

and 16/2

is 8

so the answer is 8

Hope this helps :)

For given function the correct solution is g'(t) = 20 for some t in the interval.

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then the function is known as an increasing function and if the value of y is decreasing on increasing the value of x, then the function is known as a decreasing function.

Given that g(10)= 220

g(0)= 20

So putting values in condition of differentiation for increasing function we get:

\(\frac{g(10)-g(0)}{10-0}\)

= \(\frac{220-20}{10}\)

=20

Hence as we can see that the correct solution for given function is g'(t) = 20 .

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A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given that g(10)= 220

g(0)= 20

So putting values in condition of differentiation for increasing function we get:

= 220-20/2

=20

The approximate change formula for a function z=f(x, y) at the point (a, b) in terms of differentials is given by Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a, b) dy

Function is equal to,

z=f(x, y)

In terms of differential the approximate change formula at (a, b) is,

Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a ,b) dy

where,

Δz is the approximate change in z

∂z/∂x is the partial derivative of z with respect to x

∂z/∂y is the partial derivative of z with respect to y

dx is the small change in x

dy is the small change in y

The vertical bars indicate that the partial derivatives are evaluated at the point (a, b).

This formula represents the total differential of z at the point (a, b).

Which is the linear approximation of the change in z due to small changes in x and y.

It is based on the assumption,

That the change in z is approximately proportional to the changes in x and y and is valid for small changes in x and y.

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The given information indicates that Y varies directly as the square of X. When X=5, the value of Y is 150.

Using the given information that "Y varies directly as the square of X" and the known value of Y=96 when X=4, we can find the unknown value of Y when X=5 by applying direct variation.

In direct variation, when one variable (Y) is directly proportional to the other variable (X) raised to a certain power (in this case, the square), we can express it as Y = kX^2, where k is the constant of variation.

To find the value of k, we substitute the given values: 96 = k * 4^2. Solving this equation, we get k = 96 / 16 = 6.

Now, we can find Y when X=5: Y = 6 * 5^2 = 6 * 25 = 150.

Therefore, when X=5, Y will be equal to 150.

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Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

Answer:

so the bigger number is 20

Step-by-step explanation:

you would divide 3 into 60

Answer:r=6cm :)

Step-by-step explanation:

V = pi r^2 h

720pi = pi r^2 20
720/pi = (pi r^2 20) / pi

720 = r^2 20

720/20 = r^2

36 = r^2

r = 6cm

Step-by-step explanation:

1/4+3/10+5/21

105+42+100/420

=247/420

=0.588

\(\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}\)

\(\longrightarrow \dfrac{247}{420} \)

or

\(\longrightarrow0.588\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

Answer:

Step-by-step explanation:

x=5\(\sqrt{2}\) because it is an isosceles right triangle , as we have and angle of 45 and one of 90

y is the hypothenuse of the triangle

y^2=(5\(\sqrt{2}\))^2+(5\(\sqrt{2}\))^2=50+50=100

y=10

the larger triangle is 30-60-90

side opposite of 90 degrees is 2y

r=20

side opposite of 60 degrees is y\(\sqrt{3}\)

z=10\(\sqrt{3}\)

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

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The tree has at least 3n-2 nodes and 2n-2 edges. It has n leaves, each with a parent node, and then one internal node for each additional edge. This means that the total number of nodes is 3n-2 and the total number of edges is 2n-2.

A tree with n leaves is composed of a number of nodes and edges. Each leaf node has one parent node and one edge connecting it to the parent node. Each internal node has at least 3 children, meaning it has 3 edges connecting it to 3 different child nodes. This means that the total number of nodes in the tree is at least 3n-2, where n is the number of leaves. Similarly, there are at least 2n-2 edges in the tree, where n is the number of leaves. This is because each leaf has 1 edge and each internal node has 3 edges. Therefore, the total number of nodes in the tree is 3n-2 and the total number of edges is 2n-2.

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Answer:

y= -6x - 15

Step-by-step explanation:

First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.

Just took the exam and the answer is c :)

The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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Answer:

4/9 of the students chose summer.

Step-by-step explanation:

Think about it this way. There are 9 students being asked what their favorite season is. 1 chose spring, 3 chose summer. Add those together, and you have 4 people that chose either spring or summer. That number goes on top of the fraction. The total amount of people that were asked goes on the bottom, which is 9.

The difference between the expected total time for the trip (waiting and travel) for the first roommate and the second roommate is 0 hours.

To calculate the expected total time for the trip (waiting and travel) for both roommates, we need to find the waiting time and travel time for each roommate.
Step 1: Calculate the arrival rates of local and express buses.
There are 20 buses arriving per hour, with 75% local and 25% express. Thus,
Local bus arrival rate: 20 * 0.75 = 15 buses per hour
Express bus arrival rate: 20 * 0.25 = 5 buses per hour
Step 2: Calculate the waiting time for each roommate.
The waiting time for buses is the inverse of the arrival rate.
First roommate waiting time (first bus): 1 / 20 = 0.05 hours
Second roommate waiting time (first express bus): 1 / 5 = 0.2 hours
Step 3: Calculate the expected travel time for each roommate.
First roommate travel time: 0.75 * 28 + 0.25 * 16 = 21 + 4 = 25 minutes (0.4167 hours)
Second roommate travel time: 16 minutes (0.2667 hours)
Step 4: Calculate the expected total time for the trip for each roommate.
First roommate total time: Waiting time + Travel time = 0.05 + 0.4167 = 0.4667 hours
Second roommate total time: Waiting time + Travel time = 0.2 + 0.2667 = 0.4667 hours
Step 5: Find the difference between the expected total time for both roommates.
Difference = First roommate total time - Second roommate total time = 0.4667 - 0.4667 = 0 hours.

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A survey that includes the identity of the property owner provides essential information regarding the legal ownership of the property. Option A

Legal and Administrative Purposes: Identifying the property owner is necessary for legal and administrative purposes. It establishes the rightful owner of the property and allows for proper documentation, contracts, and legal transactions related to the property.

Communication and Contact: The identity of the property owner allows for effective communication and contact between stakeholders. It enables interested parties, such as potential buyers, tenants, or authorities, to reach out to the owner for inquiries, negotiations, or obtaining necessary permissions.

Property Rights and Obligations: Understanding the identity of the property owner is essential for determining rights and obligations associated with the property.

Ownership Verification: The identity of the property owner helps in verifying the legal ownership of the property. It provides assurance to potential buyers, lenders, or investors that the seller or claimant is the rightful owner, reducing the risk of fraudulent transactions or disputes.

Transfer of Property: In cases of property transfers, such as sales or inheritances, the identity of the property owner is necessary to ensure a smooth transfer of ownership. It allows for the proper documentation of the transfer and updating of records with relevant authorities.

Option A

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