The rate of increase of the depth of the water (W(t)) is constant.
What is rate ?
In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.
Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.
In this case, W(t) is constant.
It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.
So , The rate of increase of the depth of the water (W(t)) is constant.
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What are the zeros of the function?
Answer: -1 and 3
Step-by-step explanation:
The zeros of a function are where the graph of the function intersects the [tex]x[/tex]-axis.
Answer: -1 and 3
Step-by-step explanation:
Finding the zeros of the function is the same as solving for the function, or what values of x make y equal 0. In this case, it is the x-intercepts, as shown by the graph. These values are -1 and 3, see attached.
23g of silver is used to make a dice.
The dice is in the shape of a cube of side 1.3 cm.
Work out the density of silver.
Answer:
10.469g/cm^3
Step-by-step explanation:
The formula for density is density = mass/volume
The volume is 1.3x1.3x1.3 which is 2.197
The mass is 23g
23/2.197 is about 10.469
10. what is the probability of selecting either a red or blue tile from one of the bags? show a mathematical equation to support your answer
The probability of selecting a red or a blue tile from one of the bags is 1. This can be calculated by adding the probability of selecting a red tile (6/10) and the probability of selecting a blue tile (4/10) together. The equation for this is P(Red or Blue) = P(Red) + P(Blue), which simplifies to 10/10, or 1.
The probability of selecting either a red or blue tile from one of the bags can be calculated using the following equation:
P(Red or Blue) = P(Red) + P(Blue)
where P(Red) is the probability of selecting a red tile and P(Blue) is the probability of selecting a blue tile.
In this case, P(Red) = 4/10 and P(Blue) = 6/10. Therefore, the probability of selecting either a red or blue tile from one of the bags is:
probability of selecting
P(Red or Blue) = 4/10 + 6/10
P(Red or Blue) = 10/10
P(Red or Blue) = 1
This means that there is a 100% chance of selecting either a red or blue tile from one of the bags.
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refer to exercise 75. how surprising would it be for more than 4 elk in the sample to survive to adulthood? calculate an appropriate probability to support your answer.
According to the given possibility the event of more than 4 elk surviving to adulthood is not surprising and the appropriate probability is 0.1402.
Here we have given that it be for more than 4 elk in the sample to survive to adulthood.
Then the probability is calculated by using the binomial probability,
And here we have to use the addition rule for mutually exclusive event, then we get,
=> P(AUB) = P(A or B) = P(A) + P(B)
At the possibility of k = 5 we have the binomial probability to be evaluated as follows:
=> P(X = 5) = 21 (0.44)⁵ (0.56)² ≈ 0.1086
At the possibility k = 6 then the binomial probability to be calculated as,
=> P(X = 6) = 7(0.44)⁶ (0.56)¹ ≈ 0.0284
Finally at the value of k = 7 then the binomial probability to be evaluated as,
=> P(X = 7) = 1 (0.44)⁷(0.56)° ≈ 0.0032
Therefore the two different numbers of successes are impossible on same simulation is by applying the addition rule for mutually exclusive events is calculated as,
=> P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)
=> 0.1086 +0.0284 + 0.0032
=> 0.1402
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What is the center of the circle?
The circle passes through the pint (-2,3). What is it’s radius?
Answer:
Step-by-step explanation:
Use the formula for circles.
[tex]x^{2} + y^{2} = r^{2}[/tex]
Since we already have the values of x and y in the given problem (-2,3), substitute the values in the fomula.
[tex]x^{2} + y^{2} = r^{2}[/tex]
[tex](-2)^{2} + (3)^{2} = r^{2}[/tex]
[tex]4 + 9 = r^{2}[/tex]
[tex]13 = r^{2}[/tex] (square both sides to get the radius)
[tex]\sqrt{13} = \sqrt{r^{2} }[/tex]
[tex]\sqrt{13} = r[/tex]
HELPPPPpp PLEASEEeee
Answer:
the teacher does not have enough paint and he needs 1351.5-1324.8 = 26.7 square cm more paint.
Step-by-step explanation:
The canvas each student has is 5.3 cm wide and 8.5 cm tall. The area of the canvas is (5.3 cm)(8.5 cm) = 45.05 square cm.
The art teacher has 6 bottles of paint, each bottle covers 220.8 square cm of canvas. So he has 6220.8 = 1324.8 square cm of paint.
There are 30 students in the class and each student has a canvas of 45.05 square cm. So in total the students have 30*45.05 = 1351.5 square cm of canvas.
The teacher has 1324.8 square cm of paint and the students have 1351.5 square cm of canvas.
Therefore the teacher does not have enough paint and he needs 1351.5-1324.8 = 26.7 square cm more paint.
125 five pences in pounds?
Answer:
125 pounds = 2500 five pence
Answer:
Step-by-step explanation
£1.00=100p
125p=£1.25what is greater 5/7 or 5/8
Answer:
5/8 is greater than 5/7. 5/8 is 0.625, while 5/7 is 0.714.
Step-by-step explanation:
5/8 is greater than 5/7. 5/8 is 0.625, while 5/7 is 0.714.
Answer:
5/7
What is a fraction?A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
If we think about 5/7, we can relate this to a circle split into 7 parts, with 5 shaded in.
You can do the same for 5/8. Think of a circle with 8 parts, and 5 shaded in.
A way to figure out which is bigger is to find a common denominator between the two.
A common denominator is two fractions with the same denominator (Hence the name). Solving for a common denominator can be done with cross multiplication.
5/7 = 40/56
5/8 = 35/56
We can visibly see, that 40/56 (5/7) is bigger, therefore making 5/7 the greater fraction.
Describe each x-intercept as "crosses" or "touches" the x-axis
If the graph only touches the x-axis at the x-intercept, then it is said to "touch" the x-axis. This indicates that the graph does not pass through the x-axis at the x-intercept, but rather just touches it.
What is the x-intercept?The x-intercept of a graph is the point at which the graph crosses the x-axis. It is also known as the abscissa. The x-coordinate of the x-intercept is the value where the graph intersects the x-axis.
The x-intercept of a graph is the point at which the graph crosses (or, in some cases, touches) the x-axis. A graph can have one or more x-intercepts. If the graph only crosses the x-axis once, then it has only one x-intercept. If the graph crosses the x-axis twice or more, then it has multiple x-intercepts. In either case, the x-intercepts can be described as either "crosses" or "touches" the x-axis.
If the graph crosses the x-axis at the x-intercept, then it is said to "cross" the x-axis. This indicates that the graph passes through the x-axis at the x-intercept.
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Find the slope of the ordered pairs below
Answer:
[tex]\boxed{\sf \:Slope(m)=2}[/tex]
Step-by-step explanation:
Let's use the slope formula to find the slope of (2,2) and (3,4):-
Slope formula :- m=(y2-y1)/(x2-x1)
[tex]\sf \left(x_1,\:y_1\right)=\left(2,\:2\right)[/tex]
[tex]\sf \:\left(x_2,\:y_2\right)=\left(3,\:4\right)[/tex]
[tex]\sf m=\cfrac{4-2}{3-2}[/tex]
[tex]\sf m=\cfrac{2}{1}[/tex]
[tex]\sf m=2[/tex]
Therefore, the slope is 2!!
_____________________
Hope this helps!
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a standard deck of cards has $52$ cards divided into $4$ suits, each of which has $13$ cards. two of the suits ($\heartsuit$ and $\diamondsuit$, called `hearts' and `diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$, called `spades' and `clubs') are black. the cards in the deck are placed in random order (usually by a process called `shuffling'). what is the probability that the first two cards drawn from the deck are both red?a standard deck of cards has $52$ cards divided into $4$ suits, each of which has $13$ cards. two of the suits ($\heartsuit$ and $\diamondsuit$, called `hearts' and `diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$, called `spades' and `clubs') are black. the cards in the deck are placed in random order (usually by a process called `shuffling'). what is the probability that the first two cards drawn from the deck are both red?
Probability of drawing two red cards = (26/52) * (25/51) = 25/102 = 24.509%
a standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. two of the suits (heart suit and diamond suit, called `hearts' and `diamonds') are red, the other two (spade suit and club suit, called `spades' and `clubs') are black. the cards in the deck are placed in random order (usually by a process called `shuffling'). what is the probability that the first two cards drawn from the deck are both red?
A standard deck of 52 cards has 26 red cards ( of Hearts and Diamonds) and 26 black cards ( of Spades and Clubs).
Probability of drawing the first red card = 26/52
Probability of drawing the second red card = 25/51
So, probability of drawing two red cards = (26/52) * (25/51) = 25/102 = 24.509%
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a set of $16$ positive integers has mean, median, and unique mode all equal to $16.$ what is the largest possible value of one of the numbers in the set?
For a set of 16 positive integers to have a mean, median, and mode all equal to 16, the numbers in the set must all be equal to 16. Therefore, the largest possible value of one of the numbers in the set is 16.
The mean, median and mode of a set of numbers are all measures of the "typical" or "central" value of the set.
The mean is the sum of all the numbers divided by the number of elements in the set, the median is the middle value when a set of numbers is arranged in order of magnitude, and the mode is the number that appears most frequently in the set.
In this case, if all the 16 integers in the set are equal to 16, then the mean, median, and mode will all be 16 as well. Since the question states that the median, mode, and mean are all equal to 16, the only way for this to be true is if all the 16 integers in the set are equal to 16. So the largest possible value of one of the numbers in the set would be 16.
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Segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
If segment MN passes through the center, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
Segment MN lies on a plane that intersects the center of a sphere. The intersection between the sphere and the plane is the BLANK ( options : diameter, great circle, radius, tangent)
Please help me out! Math 3 Q4
The intersection between the sphere and the plane is the is diameter.
What is a sphere?A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.
Given that, segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere.
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.
So, the most specific name for segment MN is chord.
Here, segment MN lies on a plane that intersects the center of a sphere.
A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
Therefore, the intersection between the sphere and the plane is the is diameter.
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a rectangular room is 14 feet by 20 feet. the ceiling is 8 feet high. a. find the length and width of the smaller wall. by (express your answer in feet) b. find the area of the smaller wall. (express your answer in square feet) c. find the area of the larger wall. (express your answer in square feet) d. find the total area of the four walls in the room. (express your answer in square feet) e. if a gallon of paint costs $36.50 and it covers 350 square feet on average, what is the cost of painting the room walls with two coats of paint?
Answer:
a. The length and width of the smaller wall are 14 feet and 8 feet, respectively.
b. The area of the smaller wall is 14 feet x 8 feet = 112 square feet.
c. The area of the larger wall is 20 feet x 8 feet = 160 square feet.
d. The total area of the four walls in the room is 112 square feet + 112 square feet + 160 square feet + 160 square feet = 544 square feet.
e. To find the cost of painting the room walls with two coats of paint, we need to know the total area of the walls, and the cost of one gallon of paint. We can use the information provided: a gallon of paint covers 350 square feet on average and the cost of one gallon of paint is $36.50.
We can divide the total area of the walls by the coverage of one gallon of paint, then multiply that by the cost of one gallon of paint.
544 square feet / 350 square feet/gallon * $36.50/gallon = $38.34
So the cost of painting the room walls with two coats of paint is $38.34.
how many meters can you swim in a minute
An average swimmer covers a distance of 1 / 30 miles in a minute, while an Olympic swimmer covers a distance of 1 / 10 miles.
How to determine the distance covered by a swimmer in a minute
This is a classic example of an open question, since there are answers as many as possible assumptions. In this case, answer change if swimmer's speed is changed. We shall consider two cases: (i) Average swimmer (v = 2 miles per hour), (ii) Olympic swimmer (v = 6 miles per hour).
Under the assumption of uniform motion, distance (s), in miles, is the product of speed (v), in miles per hour, and time (t), in hours (please notice that an hour is equal to 60 minutes):
s = v · t
Average swimmer (v = 2 mi / h, t = 1 / 60 h)
s = 2 · (1 / 60)
s = 2 / 60
s = 1 / 30 mi
Olympic swimmer (v = 6 mi / h, t = 1 / 60 h)
s = 6 · (1 / 60)
s = 6 / 60 mi
s = 1 / 10 mi
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Consider the point (-4, -2). What will be the coordinates of the new point if we
-Reflect it across the line y=x
-Translate it 2 units to the right and 3 units up?
The coordinates of the new point after applying the given set of transformation is given by the ordered pair (0, -1).
What is a reflection across the x-axis?In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.
Furthermore, a reflection across the line y = x would interchange (switch) the x-coordinate and y-coordinate and this is given by this transformation rule:
(x, y) → (y, x)
Ordered pair A = (-4, -2) → Ordered pair A' = (-2, -4).
Next, we would apply a translation of 2 units to the right and 3 units up:
(x, y) → (x + 2, x + 3)
Ordered pair A' = (-2, -4) → (-2 + 2, -4 + 3) → Ordered pair A' = (0, -1).
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algebra equation…. help help help help help help
The solution to the system of equations is (0, -5) or (4, 3).
What is the system of equations?
A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
To solve the system of equations, we'll substitute the second equation into the first:
x^2 + (2x - 5)^2 = 25
Expanding the square in the second equation:
x^2 + 4x^2 - 20x + 25 = 25
5x^2 - 20x = 0
5x(x - 4) = 0
So x = 0 or x = 4.
For x = 0:
y = 2x - 5 = -5
For x = 4:
y = 2x - 5 = 3
Hence, the solution to the system of equations is (0, -5) or (4, 3).
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This worksheet is a review of circles and lines, and will give you some practice with algebra and with graphing. Also, this worksheet introduces the idea of "tangent lines" to circles. Later on in Math 124, you'll learn how to find tangent lines to many other types of curves. Two circles, called C1 and C2, are graphed below. The center of C_1 is at the origin, and the center of C_2 is the point in the first quadrant where the line y = x intersects C1. Suppose C1 has radius 2. C2 touches the x and y axes each in one point. What are the equations of the two circles?
The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.
C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.
C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
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predict how many sit ups each person can do in 12 seconds 1. janet does 3 sit ups in 2 seconds 2. paulo does 5 sit ups in 6 seconds 3. shah does 3 sit ups in 4 seconds
The predicted number of sit ups each person can do in 12 seconds, using a proportional relationship model are;
Janet 18 sit ups
Paulo 10 sit ups
Shah 9 sit ups
What is a proportional relationship?A proportional relationship is one in which the values of the output variable are a constant multiple of the values of the variables in the set of the input values.
The data for the number of sit ups each person can do with time are as follows;
1. Janet does 3 sit ups in 2 seconds
2. Paulo does 5 sit ups in 6 seconds
3. Shah does 3 sit ups in 4 seconds
The rates at which each person does sit ups, using a proportional relationship between the number of sit ups and time and the the constant of proportionality in the proportional relationship is the rate of sit ups per person which are;
Rate = (Number of sit ups)/(Time)
The rate at which Janet does sit ups = (3 sit ups)/(2 seconds), m = 1.5 sit ups/second
Rate at which Paulo does sit ups = (5 sit ups)/(6 seconds), m = (5/6) sit ups/second
Rate at which Shah does sit ups = (3 sit ups)/(4 seconds), m = (3/4) sit ups/second
The number of sit ups each person can do, n, in a specified time, t, can be found using the formula;
n = m × t
Where;
n = The number of sit ups
m = The rate at which the person does sit ups
t = The time duration
Therefore, the number of sit ups each person can do in 12 seconds are therefore;
The number of sit ups Janet can do in 12 seconds is; n = 1.5 × 12 = 18
Janet can do 18 sit ups in 12 seconds
Number of sit ups Paulo can do in 12 seconds is; n = (5/6) × 12 = 10
Paulo can do 10 sit ups in 12 seconds
Number of sit ups Shah can do in 12 seconds is; n = (3/4)×12 = 9
Shah can do 9 sit ups in 12 seconds
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a correlation is best expressed by . group of answer choices are built from research reviews describes the statistical relationship between two variables a collection of assertions predictions about the relationship between variables
A correlation is a statistical measure of the relationship between two variables and is expressed as a numerical value between -1 and 1.
A correlation is a measure of the relationship between two variables that is expressed as a numerical value between -1 and 1. To calculate a correlation, start by collecting data on the two variables. Then, calculate the covariance, which is the sum of the product of the differences between the two variables, divided by the number of data points. Finally, calculate the correlation by dividing the covariance by the product of the standard deviations of the two variables. The correlation can range from -1, which signifies a perfect negative correlation, to 1, which signifies a perfect positive correlation. A correlation of 0 indicates that there is no correlation between the two variables.
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Please help with this one
The vertex of the quadratic equation:
f(x) = 2x^2 - 8
is (0, -8)
How to find the vertex of the quadratic equation?For a general quadratic equation:
a*x^2 + b*x + c
The vertex is located at the x-value:
x = -b/2a
Here we have the quadratic equation:
f(x) = 2x^2 - 8
Then the values are:
a = 2
b = 0
c = -8
Then the vertex is at:
x = 0/2*2 = 0
To get the y-value of the vertex, we need to evaluate on x = 0.
f(0) = 2*0^2 - 8 = -8
So the vertex is (0, -8).
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find a unit vector normal to the surface cos(xy) = ez − 2 at (1, π, 0).
The given surface is [tex]\cos(xy) = e^z-2[/tex]. The unit vector normal to this surface at the point (1, π, 0) is[tex]\vec{n}=\langle 0, 0, 1\rangle[/tex].
A vector with a magnitude of one is termed a unit vector. To determine a unit normal vector for the given surface, start by describing the surface as a function of form F(x, y, z). Next, calculate this function's gradient and then normalize the outcomes.
Consider the normal vector [tex]\vec{n}=\langle a, b, c\rangle[/tex] to the plane ax + by + cz = d. Given [tex]\cos(xy) = e^z-2[/tex] then, z = ln(2+cos(xy)).
At point (x₀,y₀,z₀), the equation for the tangent plane to z = f(x,y) is written as, [tex]z-z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)[/tex]. The value of [tex]f_x[/tex] and [tex]f_y[/tex] are
[tex]f_x = \frac{-y \sin(xy)}{(2+\cos(xy))}[/tex] and [tex]f_y =\frac{ -x \sin(xy) }{ (2+\cos(xy))}[/tex].
At *x, y) = (1, π), the value of [tex]f_x[/tex] and [tex]f_y[/tex] is zero. Then, the equation of the tangent plane is given as z-0=0+0 ⇒ z=0.
Then, the resulting unit normal vector is [tex]\vec{n}=\langle 0, 0, 1\rangle[/tex].
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find the area of the parallelogram with vertices a(−3, 0), b(−1, 5), c(7, 4), and d(5, −1).
The parallelogram's surface area is 24 square units as a result.
A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A quadrilateral is referred to as a parallelogram in geometry.
The opposite sides of a parallelogram are parallel and of equal length. Rhombus, rectangle, and square are a few instances of parallelograms.
Here points are a(−3, 0), b(−1, 5), c(7, 4), and d(5, −1).
= 1/2 [-3 (4 + 1) - 1 (- 7 - 20)]
= 1/2 [-3 (5) - 1 (-27)]
= 1/2 [-15 + 27]
= 1/2 [12]
= 6 sq units
Area of parallelogram abcd = Area of triangle abc + Area of triangle acd
= 18 + 6
= 24 sq units.
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if u help ill mark u brainiest
Answer:
Step-by-step explanation:
Look at the input and apply the rule. For example, if the rule is "Subtract 5" and the input is 9 then you subtract 5 from 9 to get 4, and 4 is the output. Let's take a look at some examples:
Which of the following is defined by a line parallel to one side of a triangle a
divides the other two sides proportionally?
A. Triangle Midsegment Theorem
• B. Triangle Proportionality Theorem
C. Parallel Proportionality Theorem
D. Parallel Midsegment Theorem
Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We know that;
Triangular Proportionality Theorem states that:
''If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.''
Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
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Given that 4, p, q 13 are consequtive terms of an arithmetic progression, find the value of p and q
how long must a driver take to drive the last 50 miles of a 120 mile trip if he wants to average 50 mph for the entire trip and it took 90 minutes to drive the first 70 miles?
Therefore , the solution of the given problem of speed comes out to be
he needs to drive at 77.77 mph.
Specify the speed.How quickly something is traveling is determined by its speed from a distance. How far an object moves in a certain length of time depends on its speed. Speed is calculated as follows: velocity = range x time. The most used units for expressing speed are meters per second (m/s), kilometers per hour (km/h), and kilometers per second (mph) (mph).
Here,
70 + 50 = 120 miles is indeed the total distance.
You would need 2.4 hours to travel the 120 miles at such an approximate speed of 50 mph.
However, you are already on the road for 1.5 hours, so you must finish the trip in 0.9 hours.
You need to travel at a speed of 77.77 mph to complete the final 70 miles approximately 0.9 hours.
Therefore , the solution of the given problem of speed comes out to be
he needs to drive at 77.77 mph.
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please HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]\mathrm{A.\;\;\boxed{V = \dfrac{m}{D}}}\\\\\\\\\mathrm{B.\;\;\boxed{8.8496\;cm^3}}[/tex]
Step-by-step explanation:
Object density formula is
[tex]D = \dfrac{m}V}\\[/tex]
with the variables defined as in the question
A.
B.
For osmium, we have D = 22.6 gm/cm³We are given the mass as 200 gm, so m = 200Plug these values into the equation to get the volume of 200gms of osmiumnow your friend would also like to determine the most likely continent of origin for each coin. which model best suited to predict the continent of origin?
Now your friend would also like to determine the most likely continent of origin for each coin. Logistic regression model best suited to predict the continent of origin. So the option b is correct.
A variable's value can be estimated using linear regression analysis depending on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.
Based on a given dataset of independent variables, logistic regression calculates the likelihood that an event will occur, such as voting or not voting. Given that the result is a probability, the dependent variable's range is 0 to 1.
The log chances of the outcomes are modelled as a linear combination of the predictor variables in multinomial logistic regression, which is used to model nominal outcome variables.
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The complete question is:
Now your friend would also like to determine the most likely continent of origin for each coin. Which model best suited to predict the continent of origin?
(1) Linear regression
(2) Logistic regression
(3) Multinomial logistic regression
Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. x g(x) 0 2 5 4 10 6 The slope of f(x) is greater than the slope of g(x). The slope of f(x) is less than the slope of g(x). The slope of f(x) is equal to the slope of g(x). The slope of g(x) is undefined.
The slope of a line f(x) exceeds the slope of a line g. (x). As a result, option A is the right response.
What is the slope of a line's equation?A line's slope or gradient is a number that defines both its direction and its steepness. The slope may be calculated using the following formula: slope = (y2-y1)/ (x2-x1). The coordinate points on the equation of line g(x) are (0, 2), (5, 4) and (10, 6) while the coordinate points on the equation of line f(x) are (3, 1) and (0, -1).
The slope of the line g(x) is now (4-2)/(5-0) =2/5.
The slope of a line f(x) is (-1)/. (0-3)
=2/3
The slope of a line f(x) exceeds the slope of a line g. (x). As a result, option A is the right response.
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