A Scatter plot has a best fit line of Y=mx+b

If the scatter plot has a negative association, which statement is true?

Answer:

See below

Step-by-step explanation:

Change in y   is   6    for each   2  change in  x   (from the table)

Slope is rise / run        rise is the change in y     'run' is the change in 'x'

         slope = 6/2 = 3  

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

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In a case whereby Kouroche is organising an overnight camping trip. the cost of renting a cabin is $20. (flat rate)  if cost of food is $9 per person .  the amount it will the trip cost if 5 people go is $65.

Based on the given information that cost of food for each person = $9

And the  cost of renting a cabin= $20

Then we can calculate the amount it will the trip cost if 5 people go which can be expressed as ;

[ 20 + (9*5)]

=(20 + 45)

=$65

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Check the complete question:

Kouroche is organising an overnight camping trip. the cost of renting a cabin is $20. (flat rate) The cost of food is $9 per person .  how much will the trip cost if 5 people go?

Solution:

Since the sample size is fixed;

And the probability of picking a girl is constant for each trial, the binomial distribution is appropriate;

Thus;

ANSWER: 0.32

Answer:

a and b

Step-by-step explanation:

it is a point and a point is a zero demensional object.

Answer:

A

Step-by-step explanation:

this is because an input can only have one output, but an output can have many input

Answer:

32

63

Step-by-step explanation:

m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.

m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.

Step-by-step explanation:

148 + x = 180

x = 180 - 148

x = 32

Find m<CAB basically means find the measure of the angle of A ( m<A )

m<B + m<A + x = 180

85 + m<A + 32 = 180

117 + m<A = 180

m<A = 180 - 117

m< A = 63, so m<CAB = 63

And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.

So m<BCA = 32

Answer:

193 mg

Step-by-step explanation:

Exponential decay formula:

Our known variables are:

Let's solve for the decay constant of this sample.

Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.

Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.

The expected mass of the sample in the year 2011 would be 193 mg.

The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.

In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.

By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.

It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.

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Answer:

860.71m³

Step-by-step explanation:

V(cuboid) = bhd

V(cylinder) = h(pi)r²

V(shape) = cuboid - cylinder

cuboid = 10 x 10 x 12

cuboid = 1200m³

cylinder = 12(pi)3²

cylinder = 12(pi)9

cylinder = 339.292m³

shape = 1200 - 339.292

shape = 860.71m³

Answer:

860.9 -ish

Step-by-step explanation:

To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.  

First, lets find the volume of the prism.  

V=lwh  

V=10*10*12  

V=1200

Now, find the volume of the cylinder.  

V=Pie*Rsquared*h

V=3.14*3squared*12

V is about 339.12  

Now do  

1200-339.12=860.88

So it is about 860.9  

Answer:

i am so confused right now :)::):::)::):))

Step-by-step explanation:

The concept of dilation is used to transform shapes by making them either larger or smaller. A dilation is a transformation that results in a change in size and shape of an object. In this example, Circle c is being dilated to Circle d.

Circle is a shape that is made up of a curved line that forms a closed loop. It is one of the most basic shapes in geometry, and it has no sides or corners. Circles can represent many different things, including unity, wholeness, and infinity.

The center point of the dilation is Point o, which is the origin or center of the dilation. The point that is plotted on Circle c is Point p, and this point is then dilated to Point q, which is plotted on Circle d.

The dilation of Circle c to Circle d can be represented mathematically by the equation (x-o)2 + (y-o)2 = (k)(x-o)2 + (k)(y-o)2, where o is the center of the dilation, x and y are the coordinates of the original point (Point p), and k is the scale factor of the dilation. The scale factor is used to indicate how much larger or smaller the object is after it has been dilated. In this example, k is greater than 1, which means that Circle d is larger than Circle c.

The concept of dilation is used in many areas of mathematics, including geometry, algebra, and trigonometry. It is important to understand the concept of dilation in order to be able to accurately plot points and to understand how objects change size and shape when a dilation is applied.

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Complete questions as follows-
Circle d a. Plot a point on Circle c. Label the point p. Pl…
Here are Circlesc  and .d Point o is the center of dilation, c and the dilation takes Circle  to Circle d
a. Plot a point on Circle . Label the pointc . Plot where  goes when the dilation is appliedp.
b. p Plot a point on Circle d. Label the point q . Plot a point that the dilation takes to q.

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

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Answer:

40% of 80=32

25% of 60=15

10% of 90=9

50% of 70=35

80% of 500=400

75% of 80=60

90% of 250=225

65% of 400=260

85% of 800=680

55% of 140=77

45% of 160=72

95% of 180= 171

70% of 720=504

15% of 220=33

65% of 200= 130

Step-by-step explanation:

Answer:

32, 15, 9, 35, 400, 60, 225, 260, 680, 77, 72, 171, 504, 33, 130

the helix r(t) = cos(πt/2), sin (πt/2),t) intersects the sphere x^2 + y^2 + z^2 = 2 in two points.

the angle of intersection at each point: θ = cos⁻¹ (√2/√π²+4)

the angle of intersection at each point: α = cos⁻¹(-√2 /(√π² +4))

Scientists in the fields of physics, engineering, and biology all do research on helices, which are a significant topic in the theory of curves in differential geometry. Helix (or generic helix) is defined as tangent vector field in 3-dimensional Euclidean space establishing a fixed angle with the curve's direction. A curve for which the tangent forms a constant angle with a fixed line is referred to as a helix or coil.

helix: r(t) = < cos(πt/2), sin(πt/2), t >    sphere: x² + y² + z² = 2

put it in the sphere's equation we get:

next, {cos(πt/2)}² + {sin(πt/2)}² + t² = 2

or, 1 + t² = 2

or, t² = 1

or, t = ± 1

thus, points of intersection r(1) = < cos(π/2), sin(π/2), 1 > = < 0, 1, 1 >

r(-1) = < cos(-π/2), sin(-π/2), -1 > = < 0, -1, -1 >

angle intersection is angle between their tangent:

helix:

r(t) = < -π/2 sin(πt/2), π/2 cos(πt/2), 1 >

r'(1) = < -π/2, 0, 1 > .........(i)

r'(-1) = < π/2, 0, 1 > ......... (ii)

sphere:

f = (x² + y² + z² - 2) = 0

Δf = <2x, 2y, 2z>

Δf (0,1,1) = <0,2,2> ................ (iii)

Δf (0,-1,-1) = <0,-2,-2> .............(iv)

angle between (i) and (iii) (at, t = 1)

cosθ = {r'(1) Δf (0,1,1)} / {|r'(1)| |Δf (0,1,1)|]

θ = cos⁻¹ (√2/√π²+4)

angle between (ii) and (iv) (at, t = 1)

cosα = r'(-1)Δf (0,-1,-1) / ||r'(-1)|| ||Δf (0,-1,-1) ||

cos α = -√2 /(√π² +4)

α = cos⁻¹(-√2 /(√π² +4))

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Using the table your total monthly fixed expenses is 977.43.

Rent payment $953. 20/month

Auto payment $165. 87/month

Telephone $56. 98/month

Auto insurance $714. 36/six months

Once-a-week outing $35. 00/week

= 953.20 + 165.87 + 56.98 + 714.36/6 + (35*4)

= 1435.11

= 2412.54 - 1435.11

=977.43.

An expense is something that calls for the transfer of funds, or fortune in general, from one person or organization to another as payment for a good, service, or other type of cost. Rent is a cost to a tenant. Tuition is a cost to parents or students. Purchasing anything like food, clothing, furniture, or a car is frequently referred to as a cost.

A cost that is "paid" or "remitted" usually in exchange for anything of value is referred to as an expense. "Expensive" refers to something that appears to be very expensive. "Inexpensive" refers to something that appears to be inexpensive. "Expenses of the table" include costs associated with eating, drinking, a feast, etc.

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The most appropriate test statistic to use for an experiment on relaxation techniques is matched pairs test. So, option(a) is right one.

For determining the validity of an asserting claim, the appropriate test statistic is formulated based on the population parameter to be tested from the estimated test statistic. Determining a claim related to a single parameter (e.g., the population mean) an appropriate test statistic, i.e., t-statistic or z-statistic is chosen based on the sample size. Also, In the case of claim related to examining the relationship between two population parameters, the two-sample test for t- or z statistic is formulated, based on appropriate sample sizes. We have an experiment related to relaxation techniques. The subject's brain signals were noted before and after the relaxation exercises. Claim is that relaxation exercise slowed the brain waves. There is two data sets one before and other after the relaxation exercise. So, for check the claim is true or not we use the matched pairs. The matched-pair t-test (or paired t-test or dependent t-test) that is used when the data from the two groups can be presented in pairs.

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Answer: Your question is too long for me to answer

Step-by-step explanation:

Using f -statistic value relationship with population variation , the ratio of population variance lie in interval [0.1008,2.021].

0.1008 <σ₁²/σ₂²< 2.021

So, the correct option is option( d).

A professor wants to compare the variances of scores between two sections of classess.

we have

sample size for first class score (n₁) = 13

sample size for second class score (n₂) = 16

confidence interval is 99%

sample variance of first sample (s₁²) = 203.25

sample variance of second sample (s₂²)= 474.42

Using the relationship

( s₁² /s₂² )/F₁₋ₐ/₂ < σ₁²/σ₂²< ( s₁²/s₂²)/Fₐ/₂

a = 0.005

F at (1- a/2) or F₀.₉₉₅, ₁₃,₁₆= 4.249

F at a/2 or F₀.₀₀₅,₁₃, ₁₆ = 0.2118

plugging all known values in above formula

=> ( 203.25/474.42)/4.249<σ₁²/σ₂²< (203.25/474.42)/0.2118

=> 0.1008 <σ₁²/σ₂²< 2.021

=> σ₁²/σ₂² ∈[0.1008,2.021]

Hence, the ratio of population variance lies between interval [0.1008,2.021].

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2 different expressions that involve only outs and powers of 2 which are equivalent 4 2/3 / 8 1/4

1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)

2) (2^5 * 3^1) / (2^6 * 4^-1)

1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)

This expression is equivalent to 4 2/3 / 8 1/4 because it is written in terms of powers of two. 4^2 is equal to 16, which is the numerator in 4 2/3. 2^-1 is the same as 1/2, which is the second fraction in 4 2/3. 3^1 is equal to 3, which is the numerator in 8 1/4. 8^1 is equal to 8, which is the denominator in 8 1/4. 2^-2 is the same as 1/4, which is the second fraction in 8 1/4. 4^-1 is equal to 1/4, which is the first fraction in 8 1/4. When all the terms are multiplied and divided, it is the same as 4 2/3 / 8 1/4.

2) (2^5 * 3^1) / (2^6 * 4^-1)

This expression is also equivalent to 4 2/3 / 8 1/4 because it is written similar to above equation.

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The area of the shaded region shown in the figure is 80π unit²

An equation is an expression that shows the relationship between two or more variables and numbers.

Area of the shaded region = area of semicircle IL - area of semicircle JK + area of semicircle IJ + area of semicircle KL

Area of the shaded region = area of semicircle IL + area of semicircle IJ = (0.5 * π * 12²) + (0.5 * π * (12/3)²) = 80π

The area of the shaded region shown in the figure is 80π unit²

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Answer:

I think it's 60%

Step-by-step explanation:

There are total 10 sophomores, and 6 are male, so 6/10 are male, meaning there's a 60% chance.

I hope this helps you! Please give brainliest!

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Scale Factor

Given two shapes, the second shape with dimensions proportional to the first shape with a scale factor of k.

The area of the scaled shape will be equal to the factor k squared.

We are given the areas of two similar shapes:

A1 = 64 square cm

A2 = 121 square cm

The scale factor of the areas is k squared, so:

Taking square root:

Answer: Last choice 11/8

Answer:

97

Step-by-step explanation:

92+55=147

180-147=33

85+45=130

180-130=50

50+33=83

180-83=97

Answer:

X =65 degrees

Step-by-step explanation:145=(2x+15)

grouping like terms ,the +15 crosses the equal to and turns into -15 and attaches itself to 145.            145-15=2x

                                                   130=2x

if 2x =130 then x will be = 130/2=2x/2

                                             65=x

Answer:

A = 0.5, 4

B = -3, 0

C = -1, 1

Answer:

A = (0.5, 4)

B = (-3,0)

C = (-1, 1)

Step-by-step explanation:

You just need to find the x and y points. Remember that the number for x comes before the number for y.

Answer:

6.25 km^2.

Step-by-step explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.

Then the equation is given as,

L = 4W

Then the perimeter of the garden is given as,

12.5 = 2(L + W)

12.5 = 2(4W + W)

6.25 = 5W

W = 1.25 km

Then the length is given as,

L = 4 x 1.25

L = 5 km

Then the area of the garden is given as,

A = 5 x 1.25

A = 6.25 square km

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

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cone:

height(h): 26

radius (r) : 10

Volume of a cone: 1/3πr^2 h

Replacing:

V = 1/3π(10)^2 (26)

V = 2,722.71