Answer:
(0,0)
(-3,0)
when x<4 the given curve is decreasing
domain(0,0) the range is (-3,0)
Step-by-step explanation:
give me the brinalst plzz i slove ur answer
The domain and range of function is (0,8).
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
The graph
Now
The domain is on x axis (0,8)
The range is on y axis (-3,9)
When x<4, both are positive.
Therefore, the domain answer will be (0,8).
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Consider the following two arguments:
(A) 90% of observed crows are black. Therefore, 90% of all crows are black. Furthermore, I
conclude that the next crow I observe will be black.
(B) If 90% of observed crows are black, then the next crow I observe will be black. In fact, 90%
of observed crows are black. Therefore, the next crow I observe will be black.
Using the logic terminology presented in the course material, classify the two arguments. Which
argument is the better argument? Give detailed explanation
The next crow observed will be black is not supported by the premises in any meaningful way. The premises do not guarantee the outcome of the next observation. Argument B is the stronger argument.
Argument A is an example of an inductive argument, as it generalizes from a limited sample to make a broader claim about the entire population. This argument form is called induction and can be evaluated on its strength.
Argument B is a deductive argument, as it uses a conditional premise to reach a definite conclusion. In this form of argument, the conclusion necessarily follows from the premises. The strength of a deductive argument depends on the logical structure of the premises and conclusion.
The better argument of the two is argument B. Because in deductive arguments, the conclusion necessarily follows from the premises if the premises are true.
And this argument, the premises state that if 90% of observed crows are black, then the next crow observed will be black.
Additionally, it is also claimed that 90% of observed crows are black. Therefore, it can be logically deduced that the next crow observed will be black
The argument in A, however, is an inductive argument, where the conclusion is not necessarily true even if the premises are true. Even if 90% of observed crows are black, it does not necessarily follow that 90% of all crows are black.
argument B is the stronger argument.
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6
The endpoints of AB are -16 and -4. Find the coordinate of the point P that partitions the segment in
the ratio 2 : 1.
The coordinate of point P is
The coordinate of point P is -8.
We are given that the endpoints of AB are -16 and -4.
This means that A is at -16 and B is at -4
Therefore, the total length of the line AB will be-
-16 - (-4) = -12 units
But since length cannot be negative, we take only the absolute value, the length of AB comes out to be 12 units.
Now, point P divides AB in the ratio 2:1
The length of these two parts will be
12 × 2/3 and 12 x 1/3
= 8 units and 4 units
This means that AP = 8 units and PB = 4 units
Hence the coordinate of P will be (-16 + 8) or (-4 - 4)
Thus, the coordinate of point P is -8.
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the outbound trip of a bus was made at 24mi/h, while the return trip was made at 30mi/h. find the one way distance fi the total running time was 4.5 hour.
With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.
With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.
As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.
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-3/4 times (-12) (this / means a fraction)
Answer:
9
Step-by-step explanation:
41. The Puuur Place builds customized cat trees for pet owners. The basic tree is $100 and each additional platform, perch, or toy costs $50. Meow Now also builds customized cat trees. Their basic cat tree starts at $50 and each additional piece costs $75.
[A] Write and solve a system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store.
[B] Solve this system of equations and show your work.
[C] Reggie wants to purchase a cat tree for his pets. Based on your work, explain which store would be cheaper depending on how many add-ons he wants to purchase.
The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;
y = 50x + 100 ------(eq 1)
y = 75x + 50 ------(eq 2)
How to Solve Simultaneous Equations?A) Let the total cost of the cat tree be y
Let each additional piece added be x.
Since basic tree is $100 and each additional platform costs $50, then we can say that;
y = 50x + 100 ------(eq 1)
Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;
y = 75x + 50 ------(eq 2)
B) Subtract eq 1 from eq 2 to gte;
25x - 50 = 0
25x = 50
x = 50/25
x = 2
y = 75(2) - 50
y = $100
C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.
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which graph shows u + v for the given vectors u and v
Answer:
its the first graph : A
Step-by-step explanation:
2. What are the zeros of the function
f(x)=2x2 - 2x - 4?
Answer:
-1 or 2
Step-by-step explanation:
2x2-2x-4
x2-x-2
x2+x-2x-2
x(x+1)-2(x+1)
(x+1)(x-2)
x=-1 or 2
what test would you use if: -normal population -large sample -standard deviation NOT known
The t-value is less than or equal to the critical value, you would fail to reject the null hypothesis, indicating that the sample mean is not significantly different from the population mean.
If the population is normal, the sample is large, and the standard deviation is not known, the appropriate test to use would be the one-sample t-test.
The t-test is a statistical test that allows us to compare the means of two groups to determine if there is a significant difference between them.
In this case, we are interested in testing if a sample mean is significantly different from the population mean.
Since we do not know the standard deviation of the population, we use the standard deviation of the sample to estimate it.
The t-test takes into account the sample size, the sample mean, and the sample standard deviation to determine the probability of obtaining the observed sample mean if the population mean is the same as the sample mean.
If the calculated t-value is greater than the critical t-value at a given significance level, we can reject the null hypothesis that the sample mean is equal to the population mean and conclude that there is a significant difference between the two means.
In summary, the one-sample t-test is the appropriate test to use when dealing with a normal population, a large sample, and an unknown population standard deviation.
It allows us to test whether a sample mean is significantly different from the population mean and provides us with a measure of the probability of obtaining the observed sample mean by chance.
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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food
Which drive-thru typically has more wait time, and why?
Fast Chicken, because it has a larger median
Fast Chicken, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Super Fast Food typically has more wait time, because although its box is wider than Fast Chicken's, its median is lower, indicating a shorter typical wait time.
The median is a measure of central tendency that represents the value at which half of the data falls below and half falls above.
A higher median indicates that the data is more dispersed, and thus there is likely to be more wait time at that drive-thru.
The median wait time for Fast Chicken in this case is 12.5 minutes, while the median wait time for Super Fast Food is 12 minutes. As a result, Fast Chicken typically has a longer wait time.
Thus, its upper whisker (ending at 27) is longer than Fast Chicken's (ending at 20), indicating that some customers had to wait much longer at Super Fast Food.
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1. According to the food label on a box cookies, each box has 16
servings and each serving contains 4 cookies. The weight of the
box of cookies is 1/2
kilograms. What is the weight of each
cookie?
Answer:
Step-by-step explanation:
Formula
Total number of cookies = number servings * number of cookies in serving
Givens
Number of servings = 16
Number of cookies in each serving=4
Total Mass = 0.5 kg
Solution
Total number of cookies = 16*4
Total number of cookies = 64
Total mass of box = # cookies * mass of 1 cookie
Total Mass of box = 0.5
# cookies = 64
0.5 kg = 64 * mass 1 cookie Divide by 64
0.5 / 64 = 64*mass 1 cookie/64 Compute
Answer: mass 1 cookie = 0.0078 kg
This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.
The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.
Options are: f(x) = 2x - 1 , f(x) = 2x - 7 , f(x) = x - 6 , f(x) = 1 - x , None of the choices are correct.
Answer:
f(x) = 2x - 7
Step-by-step explanation:
Plug in the numbers on the right and see what answer is right
f(x) = 2x(1) - 7=-5
f(x) = 2x(2) - 7=-3
f(x) = 2x(3) - 7=-1
f(x) = 2x(4) - 7=1
Can someone please help me with absolute value? It has to eb turned in tonight and I don't understand how to solve.. I would really appreciate it!!!
Answer:
a. |x - 1.5| < 0.125
b. -0.125 < x - 1.5 < 0.125
c. 1.375 < x < 1.625
d. Bolt has to be greater than 1.375 inches and less than 1.625 inches to be within the margin of error of 0.125 inches.
e. One acceptable length for a bolt is 1.4 inches.
f. One non-acceptable length for a bold is 1.7 inches.
Step-by-step explanation:
Solve for x:
-0.125 < x - 1.5 < 0.125
-0.125 < x - 1.5 and x - 1.5 < 0.125
1.375 < x x < 1.625
Write this as: 1.375 < x < 1.625
A triangle has side lengths of (2u-4v)(2u−4v) centimeters, (10u+2w)(10u+2w) centimeters, and (w-7v)(w−7v) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
3w−11v+12u
Step-by-step explanation:
2u−4v+10u+2w+w−7v
2u-4v+10u+2w+1w-7v
2u−4v+10u+2w+1w−7v
2u+10u−4v−7v+2w+1w
2u+10u −4v−7v +2w+1w
^12u ^-11v ^3w
12u -11v+3w
3w−11v+12u
The perimeter of the triangle is represented by the expression 3w−11v+12u.
What is the perimeter of the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The perimeter of the triangle is defined as the sum of all the sides of the triangle.
Given that a triangle has side lengths of (2u-4v)(2u−4v) centimeters, (10u+2w)(10u+2w) centimeters, and (w-7v)(w−7v) centimeters. The perimeter of the triangle is calculated by adding all the sides of the triangle.
E = 2u−4v+10u+2w+w−7v
E = 2u-4v+10u+2w+1w-7v
E = 2u−4v+10u+2w+1w−7v
E = 2u+10u−4v−7v+2w+1w
E = 2u+10u −4v−7v +2w+1w
E = 12u -11v+3w
E = 3w−11v+12u
Therefore, the perimeter of the triangle is represented by the expression 3w−11v+12u.
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Average score in the first 7 tests is 82. How much do you need to score to get an average of 85?
X+X+X+X+X+X+X/7=82
X+X+X+X+X+X+X+X/8=85
X+X+X+X+X+X+X=574
X+X+X+X+X+X+X+X=680
X=106
You need to score 106
Hope this helps :D
Consider a protein that has 120 amino acids. How many tries, on average, would it take to randomly select the 120 amino acids in the correct sequence? Consider each pick of an amino acid to be taken out of a bag that contains all 20 of the biologically active amino acids. You have 120 such bags at your disposal; one bag for each pick. Give your answer as 10 raised to a power. The power should be an INTEGER.
The probability of picking the correct amino acid on the first try is 1/20. The probability of picking the second amino acid in the correct sequence is 1/20, and so on. Therefore, the probability of picking all 120 amino acids in the correct sequence is (1/20)^120.
To calculate the average number of tries it would take to randomly select the 120 amino acids in the correct sequence, we need to calculate the reciprocal of this probability:
1/(1/20)^120 = (20^120)/1
So, on average, it would take (20^120)/1 = 10^156 tries to randomly select the 120 amino acids in the correct sequence.
To randomly select the 120 amino acids in the correct sequence , we need to consider the probability of picking the correct amino acid at each position. Since there are 20 biologically active amino acids, the chance of picking the correct one at any given position is 1 out of 20 (1/20).
For a protein of 120 amino acids, the probability of randomly selecting the correct sequence would be:
(1/20)^120
This is equivalent to 20^(-120).
Now, we want to find how many tries, on average, it would take to achieve this correct sequence. To do this, we can take the reciprocal of the probability:
Tries = 1 / (20^(-120)) = 20^120
We are asked to provide the answer as 10 raised to a power. To convert the base 20 to base 10, we can use the formula:
10^(x) = 20^120
x = 120 * log10(20)
x ≈ 181.8
Since we are asked for an integer power, we can round up to the nearest integer, which is 182.
So, on average, it would take about 10^182 tries to randomly select the 120 amino acids in the correct sequence.
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olive has an aquarium full of water and fish. her aquarium is 24 in long and 12 in wide. she bought a cylindrical bag of new fish in water. if her bag has a diameter of 5 inches and the water is 7.5 inches high in the bag, how much will it raise the level of the tank when she pours it in?
How many grams are in an oz question?
1 ounce is equal to 28.3495 grams.
Grams (g) and ounces (oz) are both units of measurement for weight, but they are not directly interchangeable. To convert a measurement of weight from ounces to grams, you will need to use a conversion factor.
So 1 ounce is equal to 28.3495 grams. The conversion factor between ounces and grams is 1 oz = 28.3495 g.
To convert a measurement of weight from ounces to grams, you will multiply the number of ounces by the conversion factor of 28.3495.
For example, if you have a measurement of 2 ounces, you would multiply 2 x 28.3495 to get 56.699 grams. So, 2 oz = 56.699 g.
It's important to note that when measuring weight, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.
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What will be the default location of the click point of the cursor if no coordinates have been assigned to it?a. (x, 0)b. (0, 0)c. (0, y)d. (x, y)
However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.
If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.
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k(6)=
Evaluate functions from their graph
Answer:
0
Step-by-step explanation:
f(x) is basically y (or in this case k(x))
to find the k(6) we find the y value when x is 6
we look and the graph and see that it is 0
that is your answer
graph the linear equation using intercepts 3x - 4y= -12
The x- intercept is (-4,0)
What is the x-intercept?The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.
For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis.
3x - 4y= -12-----------(1)
Find y when x=0:
(1)=> 3*0 - 4y = -12
=> -4y = -12
=> 4y = 12
=> y= 12/4 = 3
So, the y- intercept is (0,3)
Find x when y=0:
(1)=> 3x - 4*0 = -12
=> 3x = -12
=> x= -12/3 = -4
So, the x- intercept is (-4,0)
Plot these intercepts points and join them with a line as shown in the graph.
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Rewrite 14×(2+4) as Distributive Property
Answer:
28+56
Step-by-step explanation:
14(2+4)
Using the distributive property
14*2 + 14*4
28+56
84
A ladder leaning against a wall makes an angle of 45º with the ground. if the length of the ladder is 20 feet, find the approximate distance of the foot of the ladder from the wall. a. 20 feet b. 16.6 feet c. 14.14 feet d. 10 feet
The approximate distance of the foot of the ladder from the wall is 14.14 feet. Option C is correct.
To find the distance, we can use the trigonometric function tangent. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the angle is 45 degrees and the opposite side is the distance we're trying to find, while the adjacent side is the height of the ladder.
So, we can set up the equation: tangent(45 degrees) = opposite/20 feet.
Taking the tangent of 45 degrees gives us 1. Substituting this into the equation, we have: 1 = opposite/20.
To solve for the opposite side (the distance), we can multiply both sides of the equation by 20: 20 = opposite.
Therefore, the approximate distance of the foot of the ladder from the wall is 14.14 feet (rounded to two decimal places). This is option c.
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Find the center of mass of a thin wire lying along the curve r(t) = ti + tj + (2/3)t^3/2 k 0 ≤ t≤ 2 if the density is a = 1√2+t
(X,Y,Z) =
The center of mass of the curve is given by:
\(\[ [X, Y, Z] = \left[\frac{2\sqrt{6}}{5} + \frac{4}{7}(2^{\frac{3}{2}} - 1), \frac{2\sqrt{6}}{5} + \frac{4}{7}(2^{\frac{3}{2}} - 1), \frac{16\sqrt{3}}{15} + \frac{2}{5}(2^{\frac{3}{2}} - 1)\right] / \left[\frac{2\sqrt{6}}{3} + \frac{2}{3}(2^{\frac{3}{2}} - 1)\right].\]\)
Given that,
\(\[r(t) = ti + tj + \frac{2}{3}t^{\frac{3}{2}}k,\quad 0 \leq t \leq 2,\]and the density is \(a = \frac{1}{\sqrt{2}} + t\).\)
The center of mass formula is given as follows:
\(\[ [X,Y,Z] = \frac{1}{M} \left[\int x \, dm, \int y \, dm, \int z \, dm\right],\]\)
where\(\(M\)\)is the mass of the curve and \(dm\) is the mass of each small element of the curve.
So, the first step is to find the mass of the curve. The mass of the curve is given by:
\(\[ M = \int dm = \int a \, ds,\]\)
where \(\(ds\)\) is the element of arc length.
Since the curve is a wire, its width is very small. Therefore, we can use the arc length formula to find the length of the wire.
Let \(\(r(t) = f(t)i + g(t)j + h(t)k\)\) be the equation of the curve over the interval \(\([a,b]\).\) The length of the curve is given by:
\(\[ L = \int_a^b ds = \int_a^b \sqrt{\left(\frac{dr}{dt}\right)^2 + \left(\frac{d^2r}{dt^2}\right)^2} \, dt.\]\)
Here, \(\(\frac{dr}{dt}\), and \(\frac{d^2r}{dt^2}\) can be calculated as:\[\begin{aligned} \frac{dr}{dt} &= i + j + \sqrt{2t}k, \\ \frac{d^2r}{dt^2} &= \frac{1}{2\sqrt{t}}k. \end{aligned}\]\)
Using the above formulas, we can calculate the length of the curve as:
\(\[ L = \int_0^2 \sqrt{1 + 2t} \, dt = \frac{4\sqrt{3}}{3}.\]\)
Thus, the mass of the curve is given by:
\(\[ M = \int_0^2 (1/\sqrt{2} + t)\sqrt{1 + 2t} \, dt = \frac{2\sqrt{6}}{3} + \frac{2}{3}(2^{\frac{3}{2}} - 1).\]\)
Next, we need to find the integrals of \(x\), \(y\), and \(z\) with respect to mass to find the coordinates of the center of mass.
\(\[ X = \int x \, dm = \int_0^2 t(1/\sqrt{2} + t)\sqrt{1 + 2t} \, dt = \frac{2\sqrt{6}}{5} + \frac{4}{7}(2^{\frac{3}{2}} - 1), \]\[ Y = \int y \, dm = \int_0^2 t(1/\sqrt{2} + t)\sqrt{1 + 2t} \, dt = \frac{2\sqrt{6}}{5} + \frac{4}{7}(2^{\frac{3}{2}} - 1), \]\[ Z = \int z \, dm = \int_0^2 \frac{2}{3}t^{\frac{3}{2}}(1/\sqrt{2} + t)\sqrt{1 + 2\)
\(t} \, dt = \frac{16\sqrt{3}}{15} + \frac{2}{5}(2^{\frac{3}{2}} - 1).\]\)
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1+20/400x1+20/400x1+20/400x1+20/400
Answer:
6/5 = 1.2 is the answer for the question
The question is 21/400 * 21/400 * 21/400 * 21/400. We can rephrase this as 21^4/400^4 for simplicity. 21^4 = 194,481, and 400^4 = 25,600,000,000. 194,481/25,600,000,000 = 7596.91406 * 10^8
Signal y(t) is a convolution product of r(t) and s(t). Find the y(t) if r(t) and s(t) are: r(t)=u(t)-u(t-1) s(t)=2u(t+3)-2u(t-3) (15 markah /marks)
The convolution product of r(t) and s(t) is y(t) = 2(t+3)u(t+3) - 2(t-3)u(t-3) - 2(t+2)u(t+2) + 2(t-2)u(t-2) - 2(t+1)u(t+1) + 2(t-1)u(t-1) - 2tu(t) + 2(t-1)u(t-1) - 2(t-2)u(t-2) + 2(t-3)u(t-3).
To find the convolution product of r(t) and s(t), we need to evaluate the integral of the product of r(t) and s(t) over the appropriate range. In this case, r(t) = u(t) - u(t-1) and s(t) = 2u(t+3) - 2u(t-3).
To perform the convolution, we substitute the expression for r(t) and s(t) into the integral:
y(t) = ∫[u(τ) - u(τ-1)][2u(t+3-τ) - 2u(t-3-τ)] dτ.
Simplifying this expression, we obtain:
y(t) = 2∫[u(τ) - u(τ-1)][u(t+3-τ) - u(t-3-τ)] dτ.
The next step is to evaluate the integral over the appropriate range. Since the limits of integration depend on the variables involved, we need to consider different cases.
Case 1: t+3 ≥ τ ≥ t-3
In this case, both u(t+3-τ) and u(t-3-τ) are equal to 1, and the integral becomes:
y(t) = 2∫[u(τ) - u(τ-1)] dτ.
Case 2: t+3 ≥ τ > t
In this case, u(t+3-τ) = 1, and u(t-3-τ) = 0, so the integral becomes:
y(t) = 2∫[u(τ) - u(τ-1)] dτ + 2∫u(τ-3) dτ.
Case 3: t > τ ≥ t-3
In this case, u(t+3-τ) = 0, and u(t-3-τ) = 1, so the integral becomes:
y(t) = 2∫[u(τ) - u(τ-1)] dτ - 2∫u(τ-3) dτ.
By evaluating the integrals in each case, we can obtain the expression for y(t) as shown in the main answer.
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find the volume of the rectangular pyramid
Answer:
Volume = 112
Step-by-step explanation:
formula: V = (1/3) × L × W × h,
\(formula: V = ( \frac{1}{3} ) × L × W × h, \\ = \frac{1}{3} \times 8 \times 7 \times 6 \\ divide \: both \: 3 \: and \: 6 \\ = 1 \times 8 \times 7 \times 2 \\ = 56 \times 2 \\ = 112\)
How much the statistic varies from one sample to another is known as the ____ _____ of a statistic.
How much a statistic varies from one sample to another is known as the sampling variability of a statistic.
Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.
The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.
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The selling price of an item is $360. After 6 months of not selling, it is marked down by 10%. After another 6 months of not selling, it is further marked down by 20%. Find the sale price after both markdowns.
Answer:
1st markdown = $324
2nd markdown = $259.20
Step-by-step explanation:
current price = 360
1st 6 months = 10% down
= 90% of 360
= 324
2nd 6 month = 20% down of first 6 month
= 20% down of 324
= 80% of 324
= 259.20
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be_______. a) medium strength. b) low strength. c) high strength. d) 0
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.
In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.
In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.
Learn more about scatter plot at https://brainly.com/question/30026230
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Answer:
C
Step-by-step explanation:
h cannot be negative, since that would imply a negative height and negative volume which is impossible. h also cannot be 0, since dividing anything by 0 is undefined. Therefore, h must be positive, or h>0. Hope this helps!