which of the following are true statements? i. correlation requires that there are clearly-identified explanatory and response variables. ii. scatterplots require that both variables be quantitative. iii. every least-squares regression line passes through (x - bar, y - bar)

Answer:

B)

Step-by-step explanation:

Answer: the answer is B hope this helps

Step-by-step explanation:

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Let l be the length of the rectangle and w be its width.

Since the length of the rectangle is 1.5 times its width, then:

The perimeter of the rectangle is given by the expression:

Since the perimeter of the rectangle is four more than 3 times its length, then:

Substitute l=1.5w into that equation and solve for w:

Substitute back w=8 into the expression for l to find its value:

Therefore, the dimensions of the rectangle are:

In a transportation problem, the activities correspond to the shipping lanes while the supply of each activity is the quantity shipped.

In the transportation problem, activities are the shipping lanes that are taken to transport goods from sources to destinations.

The quantities to be shipped are known as supplies or availabilities. The transportation problem is a linear programming problem that is used to determine how to allocate resources to obtain a minimum cost or maximum profit.The transportation problem is one of the most widely used problems in linear programming. It is used to solve many real-world problems such as supply chain management, production planning, and logistics.

In the transportation problem, we are given a set of sources and a set of destinations. The supply and demand at each source and destination are also given. The objective is to minimize the total cost of transporting the goods from sources to destinations while satisfying the demand and supply constraints.

For more information on transportation problem visit:

brainly.com/question/30242761

#SPJ11

The Pacific Ocean is the largest and deepest of the world ocean basins. Covering approximately 63 million square miles.

Arctic Ocean

The Central Arctic Ocean is the world's smallest ocean and is surrounded by Eurasia and North America.

(5.4 million square miles), is the world's smallest ocean.

Knowing that.... 63 - 5.4 = 57.6

Answer:

you would get around 1.07 or 5.35

Step-by-step explanation:

Answer:

h = 120

Step-by-step explanation:

The required, division of h=(500-260)divided by 2 is 120..

The division is a mathematical operation that involves distributing or sharing a quantity into equal parts. It is the inverse operation of multiplication. In division, a dividend is divided by a divisor to obtain a quotient.

h = (500 - 260) divided by 2

To solve this expression, we first perform the subtraction within the parentheses:

h = (240) / 2

Simplifying further:

h = 120

Therefore, the value of h is 120.

Learn more about division here:

https://brainly.com/question/9934431

#SPJ6

Answer:

2/5

Step-by-step explanation:

Divide the top and bottom by 18

36/90

36÷ 18 = 2

90 ÷18 = 5

36/90 = 2/5

Answer:

Below

Step-by-step explanation:

Notice that:

● 36 = 18×2

● 90 = 18×5

■■■■■■■■■■■■■■■■■■■■■■■■■■

● (36/90) = (18×2)/(18×5)

● (36/90) = (18/18) × (2/5)

● (36/90) = 1 × (2/5)

● (36/90) = (2/5)

Answer:

B and D

Step-by-step explanation:

I'm pretty sure but definitely B

The graph illustrates the supply and demand curves on a single graph to represent the equilibrium point in a market. The equilibrium point is where the quantity demanded equals the quantity supplied, resulting in a balance between buyers and sellers.

This point determines the market price and quantity exchanged in the market. The graph demonstrates the interplay between supply and demand, showcasing how changes in these factors can impact the equilibrium point and market outcomes.

The equilibrium point is the intersection of the supply and demand curves on the graph. At this point, the quantity demanded by buyers matches the quantity supplied by sellers. The equilibrium price is determined by the vertical position of the equilibrium point on the graph, while the equilibrium quantity is determined by the horizontal position.

If the market price is above the equilibrium price, there is excess supply, leading to a surplus. Sellers will be motivated to decrease prices to sell their goods, which, in turn, increases the quantity demanded. Conversely, if the market price is below the equilibrium price, there is excess demand, resulting in a shortage. Buyers will be incentivized to bid higher prices, increasing the quantity supplied by sellers.

The equilibrium point represents a state of market balance where the forces of supply and demand are in harmony. It reflects the price and quantity at which both buyers and sellers are satisfied, maximizing the efficiency of resource allocation in the market.

To learn more about demand curves: -brainly.com/question/13131242

#SPJ11

If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.

The given statement, "If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y" is false. What is the independence concept?

The independence concept is an important concept in probability theory. Independence is a mathematical concept that refers to a situation where knowledge of one event has no effect on the likelihood of another event. The independence concept is a key property of many probability distributions in statistics.

Two variables X and Y are said to be independent if the knowledge of one variable doesn't affect the distribution of the other variable, i.e. P(X|Y) = P(X).Given Definition:

By definition, x ⊥⊥ y iff f(x, y) = f(x) · f(y) for all (x, y).

Now we will check the statement's validity.

That is, If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y. This statement is false.

Let's check why?

Assume that X and Y are not independent i.e. P(X, Y) ≠ P(X)P(Y).

Then f(x, y) = P(X = x, Y = y) ≠ P(X = x)P(Y = y) = f(x) · f(y).

Therefore, f(x, y) = f(x) · f(y) is only true when X and Y are independent.

So, we can conclude that If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.

Learn more about probability theory from the given link!

https://brainly.in/question/2045850

#SPJ11

The convolution of £^{3264+10) and [8] is [8] (1/(3264+10)e^(3264+10)u) + C.

To use the convolution theorem, we need to find the convolution of the given functions. Let's calculate them step by step:

(a) [+ {92+2} [8]

According to the convolution theorem, the convolution of two functions f(t) and g(t) is given by:

(f * g)(t) = ∫[f(u)g(t-u)]du

In this case, f(t) = [+ {92+2} and g(t) = [8]. Let's substitute these functions into the convolution integral:

([+ {92+2} * [8])(t) = ∫[+ {92+2}8]du

Since [8] is a constant function, we can simplify the integral:

([+ {92+2} * [8])(t) = [8] ∫[+ {92+2}]du

Now, let's perform the integral:

([+ {92+2} * [8])(t) = [8] ∫(9u + 2)du

= [8] (9∫u du + 2∫1 du)

= [8] (9(u^2/2) + 2u) + C

= [8] (9/2 u^2 + 2u) + C

Therefore, the convolution of [+ {92+2} and [8] is [+ {8(9/2 u^2 + 2u)}.

(b) £^{3264+10) ) [8]

Similarly, let's find the convolution of the given functions:

(£^{3264+10) * [8])(t) = [8] ∫[£^{3264+10)}(u)£^(t-u)]du

Since [8] is a constant function, we can simplify the integral:

(£^{3264+10) * [8])(t) = [8] ∫[£^{3264+10)}(u)]du

Now, let's perform the integral:

(£^{3264+10) * [8])(t) = [8] ∫(e^(3264+10)u)du

= [8] (1/(3264+10)e^(3264+10)u) + C

= [8] (1/(3264+10)e^(3264+10)u) + C

Therefore, the convolution of £^{3264+10) and [8] is [8] (1/(3264+10)e^(3264+10)u) + C.

Note: Please note that the convolution theorem is used to find the convolution of functions, which is a mathematical operation. It is not used to find specific numerical values. The expressions provided above represent the convolution of the given functions.

Learn more about convolution here:

https://brainly.com/question/31056064

#SPJ11

Answer:

is 2

because it's below for and two is the closest answer to the function variable answer to this question that you have here

Step-by-step explanation:

you don't a type your question. so if it correct i will be happy to help you

If the growth rate of bacteria at any time is proportional to the number of bacteria present at t then the population after 20 weeks will be 403.42\(x_{0}\) in which \(x_{0}\) is the initial population.

Given that the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week.

We are required to find the number of bacteria present after 10 weeks.

let the number of bacteria present at t is x.

So,

dx/dt∝x

dx/dt=kx

1/x dx=k dt

Now integrate both sides.

\(\int\limits {1/x} \, dx\)=\(\int\limits{k} \, dt\)

log x=kt+log c----------1

Put t=0

log \(x_{0}\)=0 +log c    (\(x_{0}\) shows the population in beginning)

Cancelling log from both sides.

c=\(x_{0}\)

So put c=\(x_{0}\) in 1

log x=kt+log \(x_{0}\)

log x=log \(e^{kt}\)+log \(x_{0}\)

log x=log \(e^{kt}x_{0}\)

x=\(e^{kt}x_{0}\)

We have been given that the population triples in a week so we have to put the value of x=2\(x_{0}\) and t=1 to get the value of k.

2\(x_{0}\)=\(e^{k} x_{0}\)

2=\(e^{k}\)

log 2=k

We have to now put the value of t=20 and k=log 2 ,to get the population after 20 weeks.

x=\(e^{20log 2}\)\(x_{0}\)

x=\(e^{0.30*2}\)\(x_{0}\)

x=\(e^{6}x_{0}\)

x=403.42\(x_{0}\)

If the growth rate of bacteria at any time is proportional to the number of bacteria present at t then the population after 20 weeks will be 403.42\(x_{0}\) in which \(x_{0}\) is the initial population.

Learn more about growth rate at https://brainly.com/question/25849702

#SPJ4

The given question is incomplete as the question incudes the following:

Calculate the population after 20 weeks.

Answer:

Amanda rented the bike for about 17 hours.

Answer:

17 hours

Step-by-step explanation:

50 + 18 = 68 divided by 4 = 17

The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.

The larger the sample size, the more closely the sample means will approximate a normal distribution.

which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.

The given question is incomplete , the complete question is

Which best describes what the Central Limit Theorem states ?

(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

(b) All distributions have the same mean.

(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.

(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.

Learn more about Central Limit Theorem here

https://brainly.com/question/18403552

#SPJ4

Answer:

y = -\(\frac{1}{2}\)x + 8

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, so the equation so far is:

y = -\(\frac{1}{2}\)x + b

To find our b (y-axis intercept) we will plug in the points given

(equation) y = -\(\frac{1}{2}\)x + b

(plug-in) 6 = -\(\frac{1}{2}\)(4) + b

(multiply) 6 = -2 + b

(add 2 to both sides) 8 = b

(answer) b = 8

(plug-in b) y = -\(\frac{1}{2}\)x + 8

For an object to be in rotational equilibrium, the angular acceleration must be zero, and the net torque acting on the object must be zero. The object's angular acceleration must be zero.

Rotational equilibrium refers to the state in which an object is not experiencing any rotational acceleration. Angular acceleration is the rate at which an object's angular velocity changes with time.

If the angular acceleration is non-zero, it indicates that there is an unbalanced torque acting on the object, causing it to accelerate rotationally.

In addition to zero angular acceleration, the net torque acting on the object must also be zero for it to be in rotational equilibrium.

Torque is the rotational equivalent of force and is responsible for causing rotational motion. The net torque is the sum of all the torques acting on the object.

If the net torque is non-zero, it means that there is an unbalanced rotational force acting on the object, resulting in rotational acceleration.

Therefore, to achieve rotational equilibrium, both the angular acceleration and the net torque must be zero.

This ensures that the object remains at rest or continues to rotate at a constant angular velocity without any external influence causing it to accelerate rotationally.

Learn more about equilibrium here:

https://brainly.com/question/14281439

#SPJ11

Answer:

y = (1/2)x + 14

Step-by-step explanation:

y = (1/2)x + 14

Answer:

153 185-32 is 153 so there's your answer

(a) The difference quotient for the function f(x) = x² - x - 8 is (2a + h - 1).

(b) The domain of (fog)(x), where f(x) = x/2 and g(x) = 1/x, is (-∞, 0) U (0, ∞).

(c) The graph of the piecewise function f(x) = x² + 2 (if x < 0) and f(x) = x + 1 (if x ≥ 0) has a domain of (-∞, ∞) and a range of (-∞, ∞).

(d) The height function of a stone thrown in the air is not provided in the given information.

(a) The difference quotient for a function f(x) is calculated as (f(a + h) - f(a)) / h. Substituting the given function f(x) = x² - x - 8 into the difference quotient formula, we get (2a + h - 1) as the simplified difference quotient.

(b) To find the domain of (fog)(x), we need to consider the domains of both functions f(x) and g(x) and determine the values of x for which the composition is defined. In this case, f(x) = x/2 is defined for all real numbers, and g(x) = 1/x is defined for all x ≠ 0. Therefore, the domain of (fog)(x) is (-∞, 0) U (0, ∞), excluding the value x = 0.

(c) The graph of the piecewise function f(x) = x² + 2 (if x < 0) and f(x) = x + 1 (if x ≥ 0) consists of a parabolic curve opening upward for x < 0 and a linear function for x ≥ 0. Since both parts of the piecewise function are defined for all real numbers, the domain of the function is (-∞, ∞). Similarly, the range of the function is also (-∞, ∞), as the graph extends indefinitely in both the positive and negative y-directions.

(d) The information provided does not include the height function of the stone thrown in the air. Please provide the equation or additional details about the height function to determine its domain and range.

Learn more about function here:

https://brainly.com/question/222209

#SPJ11

Answer:

SHE RAN 6 MORE LAPS ON FRIDAY THAN MONDAY

Step-by-step explanation:

we have

Multiply in cross

that means

there 4 times 1/8 in 1/2

so

1/8+1/8+1/8+1/8=1/2

Answer:

24

Step-by-step explanation:

Multiply the Price Percentage by the Original Price

Multiply the original price and the percentage that represents the sale price; the result is the sale price of the blazer in dollars: $90 × 0.7 = $63. So if the blazer is on sale for 30 percent off, you'll pay the remaining 70 percent of the price, which is $63.

The surface area of the cone is 30.98 square units.

The circular base of the cone is simply a circle with radius √3. The formula for the area of a circle is A = πr², where r is the radius of the circle. Substituting r with √3, we get A = π(√3)² = 3π. Therefore, the area of the circular base of our cone is 3π.

To find the area of the curved surface, we need to use calculus. We can represent the surface area of a cone as the integral of the circumference of each cross-section of the cone. The circumference of each cross-section can be found using the Pythagorean theorem, which gives us the equation c = √(x² + y²).

Using cylindrical coordinates, we can express ds as ds = r dθ, where θ is the angle around the z-axis, and r is the radius of the cross-section. We can also express c as c = √(r² + z²), where z is the height of the cone, and r is the radius of the cross-section.

Substituting these values into the integral, we get A = ∫(√(r² + z²))(r dθ). Since the cone is bounded by 0 ≤ z ≤ √3, we need to integrate with respect to z first and then with respect to θ. We get A = 2π∫(0 to √3)∫(0 to r(z))(√(r² + z²))r dr dz.

Evaluating this integral gives us the area of the curved surface of the cone, which is approximately equal to 27.85.

Therefore, the total surface area of the cone is the sum of the area of the circular base and the area of the curved surface, which is equal to 30.98 (approximately).

To know more about surface area here

https://brainly.com/question/29298005

#SPJ4