From the sum of 3x +4y -3xy and 5x +3y -2xy subtract the sum of 2x +y – 3xy and 10x -9y -8xy.

Answer:

The relationship is that the value of the linear correlation coefficient will always have the same sign as the value of the slope of a regression​ line.

Step-by-step explanation:

The slope of regression is simply the covariance between X and Y divided by the variance of X i.e Cov(X, Y)/Var X. Whereas, the correlation is the covariance divided by the product of the standard deviation. Thus, we can say that the correlation is the product of the gradient of the regression line and the ratio of the standard deviations.

Thus, it means when the correlation is positive, the slope is also positive and vice versa.

The sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.

Therefore, the sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.

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Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

\(\displaystyle \text{Displacement}=\int_a^bv(t)\, dt\)

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

\(\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt\)

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

\(\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt\)

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

\(\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}\)

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

\(\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}\)

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

\(\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}\)

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

\(\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}\)

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

\(\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt\)

In other words, all of our values are now positive. We will utilize the same strategy:

\(\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt\)

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

\(\displaystyle \text{Distance} =5.6+1.5+2.4=9.5\)

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

Step-by-step explanation:

To calculate the population of the town in 2025, we need to add the changes in population over the next five years to the population in 2020.

Starting population in 2020 = 70,230

Change in population over 5 years:

Net migration = 6556 - 4096 = 2460

Natural increase (births - deaths) = 5225 - 4978 = 247

Total change in population = 2460 + 247 = 2707

Population in 2025 = 70,230 + 2,707 = 72,937

Therefore, the population of the town in 2025 is 72,937.

Answer:

x=27

Step-by-step explanation:

It’s a ratio:

9.9/11=x/30

cross multiply

11x=297

x=27

Answer:

You need to save $16 more dollars.

Step-by-step explanation:

If you add 16 to 34 you get 50.

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

Answer:

28.274

Step-by-step explanation:

Use the circle formula

A=pi(r)^2

Radius is 3

A=pi(3)^2=28.274

Hope this helps : )

Answer:8

Step-by-step explanation:

1×8=8

8×8=64

1/8=8/64

Answer:

Hello there your answer is 12 x  +  5 y  =  − 10!

Answer:

See answer below

Step-by-step explanation:

The possible zeroes are p/q where p is factors of the constant and q is factors of the coefficient of the largest degree.

This means possible zeroes are ±15/4, ±5/4, ±3/4, ±1/4, ±15/2, ±5/2, ±3/2, ±1/2, ±15, ±5, ±3, ±1.

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

he should be 39 y/o

Step-by-step explanation:

you would add the 18 and 5 to get him age now, and then add the 16 years, so his age would be 39. hope this helps

Answer:

18

Step-by-step explanation:

1/3 * 18 = 6 or 6/(1/3) = 18 or 6 * 3 =18

Answer:

y=2x-5

Step-by-step explanation:

\(\frac{1-(-7)}{3-(-1)}=\frac{8}{4} = 2\\\\(3,1)\\y=2x+b\\1=2(3)+b\\1=6+b\\1-6=b\\-5=b\\\\OR\\\\(-1, -7)\\y=2x+b\\-7=2(-1)+b\\-7=-2+b\\-7+2=b\\-5=b\)

To find the slope of the curve at t=3, we first need to find the values of x and y at t=3 using the given equations.

x = (3)^5 + 3 = 246

y + 3(3)^5 = 3

y = -1347

Next, we can differentiate both equations with respect to t to get the following:

dx/dt = 5t^4 + 1

dy/dt = -15t^4

At t=3, we get

dx/dt = 5(3)^4 + 1 = 454

dy/dt = -15(3)^4 = -1215

Therefore, the slope of the curve at t=3 is given by dy/dx = (dy/dt)/(dx/dt) = (-1215/454) ≈ -2.68. This means that the curve is decreasing (sloping downwards) at t=3.

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Answer:

3

30

24

16

72

14

10

63

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer: greater than

Step-by-step explanation:

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:

2,4 3,5

Step-by-step explanation:

Given:

Sample size, n = 52

correlation coefficient, r = -0.25

Let's find the coefficient of determination of the person's correlation.

To find the coefficient of determination, we have:

coefficient of determination = r²

Thus, we have:

coefficient of determination = r² = -0.25² = 0.0625

Therefore, the coefficient of determination is 0.0625

To find the degrees of freedom, apply the formula:

df = n - 2

Where

df is the degrees of freedom

n is the sample size = 52

Hence, we have:

df = 52 - 2 = 50

The degrees of freedom is = 50

ANSWER:

• Coefficient of determination = 0.0625

• Degrees of freedom = 50

Th diameter of the circle is 8. 3 cm

The formula for calculating the circumference of a circle is expressed as;

C = 2πr or πd

Given that the parameters are;

From the information given, we have that;

circumference = 26cm

Substitute the values, we get;

26 = 3.14d

make 'd' the subject

d = 26/3.14

d = 8. 3 cm

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Answer:

blue and white

Step-by-step explanation:

yes swag forever

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)