For which data set is a linear regression most reasonable?
a set of nine data pairs with a correlation coefficient r= -0.4
a set of five data pairs with a correlation coefficient r= 0.3
a set of four data pairs with a correlation coefficient r= -0.8
a set of six data pairs with a correlation coefficient r = 0.6​

Answer: E. 17.4

Step-by-step explanation:

434÷25=17.4

Answer:

9

Step-by-step explanation:

\(x=2\\12/4+3(8-x)-12\\=12/4+3(8-2)-12\\=3+24-6-12\\=27-6-12\\=21-12\\=9\)

Answer: 9

Step-by-step explanation:

(x-3)^2=x^2-6x+9

(x-a)^2=x^2-2ax+a^2)

Answer:

1/4

Step-by-step explanation:

Answer:6/20

Step-by-step explanation:

Answer:

1. a.) The x intercepts are 7 and negative 3.

b.) The y-intercept is -21

2. C

3. a.) 4

b.) 4 and 1

Step-by-step explanation:

1 a.)The x intercepts can be found by setting y to 0, and solving for x for each factor individually.

0=x-7

7=x

0=x+3

-3=x

b.)The y-intercept can be found by multiplying the factors and looking the stand-alone number at the end of the equation. This can also be solved mathematically by replacing the x's in the equation with 0.

\(y=(x-7)(x+3)\\y=x^2-7x+3x-21\\y=x^2-4x-21\\y=(0)^2-4(0)-21\\y=-21\)

2.) Based on the graph we can see the line intercepts the x-axis at -1 and 3. So if we were to put this into factored form, the numbers would be opposite when paired with x. Hence

(x-3)(x+1)

3 a.)  Again, this can be found by observing the number by itself at the end of the equation or mathematically by changing x to 0

\(y=(0)^2-5(0)+4\\y=4\)

b.) As stated previously, this can be found by setting the y to 0 and solving the factors.

\(0=(x-4)(x-1)\\0=(x-4)\\4=x\\0=x-1\\1=x\)

Answer:

1. The estimate of the proportion of mosquitoes in the area that carry the disease is approximately 0.1606 or 16.06%

2. To check for accuracy of the of the value of proportion of disease carrying mosquito in the area

Step-by-step explanation:

The given parameters are;

The number of mosquitoes in the sample = 137

The number of mosquitoes that carry the disease = 22

1. The estimate of the proportion of mosquitoes in the area that carry the disease = (Number of mosquitoes with the disease)/(The number of mosquitoes in the sample)

The estimate of the proportion of mosquitoes in the area that carry the disease = 22/137 ≈ 0.1606 or 16.06%

2. The reason the scientist run the simulations to find additional possible proportions of mosquitoes in the area that carry the disease is to check for variability and accuracy of the proportion of disease carrying mosquito in the area.

1. The proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.

2. To ensure that the proportion of disease-carrying mosquitos in the region is accurate.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

There were 137 mosquitos in the sample,\(\rm N_s\)

The number of disease-carrying mosquitos is,\(\rm N_m\)=22

The estimated proportion of disease-carrying mosquitos in the region is found as;

\(\rm D_m=\frac{N_m}{N_s} \\\\ \rm D_m=\frac{22}{137} \\\\ D_m=16.06 \ %\)

2. The scientists used simulations to determine alternative probable proportions of disease-carrying mosquitos in the region in order to check for variability and accuracy in the proportion of disease-carrying mosquitos in the area.

Hence,the proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.

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Answer:

  8.3 ft

Step-by-step explanation:

You want the height of the top of a 13 ft ladder whose base is 10 ft from the side of a house.

The ladder represents the hypotenuse of a right triangle with legs of 10 ft and the height up the side of the house.

  a² +b² = c² . . . . . . . . Pythagorean relation

  a² +10² = 13² . . . . . . . known values filled in

  a² = 169 -100 = 69 . . . . subtract 10²

  a = √69 ≈ 8.3 . . . . . . . . . . . take the square root

The top of the ladder is about 8.3 feet from the ground.

Carrie will have $15,481.24 after taxes for a year assuming she works 52 weeks.

First, let's calculate the total taxes she pays each week:

Federal income tax rate = 10% of $350.15 = $35.02

State income tax rate = 5% of $350.15 = $17.51

Total taxes per week = $35.02 + $17.51 = $52.53

Now, we can calculate the total amount of taxes she pays for a year:

Total taxes for a year = $52.53 x 52 weeks = $2,731.56

Amount Carrie will have after taxes for a year:

Annual income before taxes = $350.15 x 52 weeks = $18,212.80

Net income after taxes = Annual income before taxes - Total taxes for a year

Net income after taxes = $18,212.80 - $2,731.56 = $15,481.24

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--The complete Question is, Carrie Burnside is single, earns $350.15 weekly, and claims 1 allowance. If the federal income tax rate is 10% plus an additional 5% state income tax rate, how much will Carrie have after taxes for a year assuming she works 52 weeks? --

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

True

Step-by-step explanation:

Height of a triangle is always known as altitude.

Refer the attachment to understand more clearly

Answer:

your answer is

\( - 11 \frac{7}{9} \)

The greatest number of average students that could be in each row is 8. This is because there are an equal number of girls and boys, so the teacher can arrange them in equal rows with 4 girls and 4 boys in each row.

48 girls/8 students per row = 6 rows

32 boys/8 students per row = 4 rows

Total number of rows = 10

The teacher has 48 girls and 32 boys in the choir and wants to arrange them in equal rows. To accomplish this, the teacher needs to ensure that the same number of boys and girls are in each row. The greatest number of students that can be in each row is 8. This is because if 4 girls and 4 boys are in each row, then the total number of rows will be 6 for the girls and 4 for the boys, totaling 10 rows. This arrangement will allow the teacher to keep an equal number of boys and girls in each row, and will also ensure that the same number of students is in each row. Having 8 students in each row is the most efficient way to arrange the choir, as it will require the least amount of rows and will still keep the number of boys and girls even.

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Answer:-24.22

Step-by-step explanation: 34.6 x -0.7 = -24.22

Value of Jace estimated  product of (34.57)(-0.74) by rounding each number to the nearest tenth is equals to - 24.22.

" Estimation of any number or quantity  gives us an idea of approximate value which is very close to exact value but not equals to exact value."

According to the question,

Nearest tenth of 34.57 = 34.6

Nearest tenth of (-0.74) = ( - 0.7)

Product of Jace estimated number = (34.6) × ( - 0.7)

                                                           =  - 24.22

Hence, Jace estimate the product equals to -24.22.

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Suppose we fix a tree 1. The descendent relation on the nodes of T is a strict partial order. So the option d is correct.

The descendent relation on the nodes of a tree T is a strict partial order if, for any two nodes x and y in T, either x is a descendent of y, y is a descendent of x, or neither x nor y is a descendent of the other.

This means that for any two nodes x and y, either x is a parent node, a grandparent node, etc. of y, or y is a parent node, a grandparent node, etc. of x, or neither x nor y is related in any way.

The descendent relation is a strict partial order because it is a partial order (it is reflexive, antisymmetric, and transitive) and it is also strict (neither x nor y can be a descendent of the other). So the option d is correct.

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Answer:

63 ft

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Round 63.44 to the nearest hundredth

Therefore, Travis stepped back 63 feet to gain a better view!

The volume of the solid is approximately 0.018 cubic units.

To find the volume of the solid, we need to use the method of cylindrical shells. First, we need to determine the height of the cylinder at a given value of x, which is given by the difference between the y-coordinates of the two curves at that point.

Using the identity given in the problem, we can rewrite cos²(7x) as (1/2) + (cos(14x)/2), so the height of the cylinder is (3 + cos(14x))/2.

Next, we need to determine the radius of the cylinder at a given value of x, which is the distance between x and the y-axis. Therefore, the radius is x.

Now, we can use the formula for the volume of a cylindrical shell:

V = 2π ∫[pi/14, 0] x(3 + cos(14x))/2 dx

Using integration by parts, we can find that this integral evaluates to approximately 0.018 cubic units.

Therefore, the volume of the solid obtained by rotating the region about the y-axis is approximately 0.018 cubic units.

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If the weight of the bucket is 70 lb , then the work required to lift the bucket from bottom is 135240 foot-pounds  .

We use the formula : Work = Force × Distance to calculate the work done

where "Force" is weight of bucket filled with water and "Distance" is  height it is lifted.

The weight of bucket filled with water is =  70 pounds.

We convert this to a force in pounds force, by using g = 32.2 feet per second squared ;

So , Force = Weight × Gravity

⇒ 70 lb × 32.2 ft/s² = 2254 lb-ft/s²

The distance that the bucket is lifted is = 60 feet ;

So , work required to lift bucket from bottom of well to top is :

⇒  Work = Force × Distance = 2254 lb-ft/s² × 60 ft

⇒ 135240 foot-pounds

Therefore , it will require 135240 foot-pounds of work to lift the bucket filled with water from the bottom of the well to the top.

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The given question is incomplete , the complete question is

A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep.  

Compute the work required to lift the bucket from the bottom of the well to the top .

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.

For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.

The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.

In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.

Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.

Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.

Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.

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The probability of the baseball player getting exactly 10 hits in 50 at-bats with a batting average of .190 is 0.029.

Using the binomial distribution formula, we can calculate the probability of getting exactly 10 hits out of 50 at-bats with a batting average of .190. The formula is:

where:

Plugging in the values, we get:

Therefore, the probability of the baseball player getting exactly 10 hits in 50 at-bats with a batting average of .190 is 0.029 or 2.9%.

In other words, if the baseball player were to take 50 at-bats with a batting average of .190 many times, we would expect them to get exactly 10 hits in about 2.9% of those trials.

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P(X = 10) = 0.090

How to find probability?

Using the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where:

In this case, n = 50, k = 10, and p = 0.190.

Plugging in the values, we get:

P(X = 10) = (50 choose 10) * (0.190)^10 * (1-0.190)^(50-10)

P(X = 10) = (50! / (10! * 40!)) * (0.190)^10 * (0.810)^40

P(X = 10) = 0.090

Therefore, the probability of the baseball player getting exactly 10 hits in 50 at-bats is 0.090 or approximately 9.0%.

Conclusion: The baseball player has a 9.0% chance of getting exactly 10 hits out of 50 at-bats with a batting average of .190.

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Answer:

Slope = 2

Step-by-step explanation:

(1,3) and (3,7)

m = (7-3)/3-1)

= 4/2

= 2

By finding the average rate of change, we can see that:

a) The cost decreases.

b) The cost increases.

To check that, we need to find the average rate of change on the interval.

Remember that for function f(x) on an interval (a, b), the average rate of change is:

R = (f(b) - f(a))/(b - a)

Here the cost function is:

c(n) = 0.25*n² - 10n + 800

a) In the interval [10, 15] the average rate of change is given by:

R = (c(15) - c(10)/(15 - 10)

Where:

c(15) = 0.25*15^2 - 10*15 + 800 = 706.25

c(10) = 0.25*10^2 - 10*10 + 800 = 725

Then the average rate of change is:

R = (706.25 - 725)/(15 - 10) = -3.75

This means that between 10 and 15 light fixtures, the cost is decreasing.

b) Now we have the interval [20, 25], so let's do the same ting:

c(20) = 0.25*20^2 - 10*20 + 800 = 700

c(25) = 0.25*25^2  - 10*25 + 800 = 706.25

Here the average rate of change is:

R = (706.25 - 700)/(25 - 20) = 1.25

It is positive, which means that the cost is increasing.

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Answer: 3x^2

Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.

Answer:

3rd one :)

Step-by-step explanation:

Answer:

I think its a sorry if im wrong

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

The shaded area is 7.33 square centimeters.

Remember that for an arc defined by an angle θ on a circle of radius R, the area is:

A = (θ/360°)*3.14*R²

In this case the angle is 120°.

Here we just need to take the difference between the area of the arc in the larger circle and the area of the smaller one, then we will get:

Area = (120°/360°)*3.14*( (4cm)² - (3cm)²)

Area = 7.33 cm²

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Answer:

ΔGFE≈ΔJKL

Step-by-step explanation: