Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

There is insufficient evidence to support the claim that the training technique is effective in raising the gymnasts scores.

In hypothesis testing, we often use significance levels such as 0.01 to determine whether or not there is enough evidence to support the hypothesis.

Here is the solution to the given problem.

The null hypothesis is that the training technique is not effective in raising the gymnasts' scores.

It is expressed as

H0: µd = 0.

The alternative hypothesis is that the technique is effective in raising the gymnasts' scores.

It is expressed as

Ha: µd > 0.

The significance level α = 0.01 is given.

Therefore, the given problem can be tested using a one-tailed t-test.

This is because the alternative hypothesis states that the mean difference between the two populations is greater than zero.

A t-test is appropriate because the sample sizes are less than 30.

The difference between the before and after competition scores of each gymnast should be calculated.

This gives us the difference scores, which are as follows:

0.1, 0.2, -0.02, -0.1, 0.1, 0.3, -0.2.

Next, we compute the mean and standard deviation of the differences. We have:

n = 7d

= 0.0714Sd

= 0.1466

Then we compute the t-statistic:

t = (d - µd) / (Sd / √n)

t = (0.0714 - 0) / (0.1466 / √7)

t = 1.5184

The degrees of freedom for this test are (n - 1) = 6.

Using a t-distribution table with 6 degrees of freedom and a significance level of 0.01 for a one-tailed test, we find that the critical t-value is 2.998.

For the given problem, the test statistic t = 1.5184 is less than the critical value of 2.998.

Therefore, we do not reject the null hypothesis.

There is insufficient evidence to support the claim that the training technique is effective in raising the gymnast scores.

To know more about  hypothesis visit:

https://brainly.com/question/606806

#spJ11

Answer:

178.35

Step-by-step explanation:

hourly rate × hours worked

17.40 × 10.25

Answer:

4.85 ft

Step-by-step explanation:

Answer:

16 percent increase in the number of train passengers from 2010 to 2012.

Answer:

4.25 im really not sure but hope it helps

Si el precio inicial de la memoria USB fue de $990 y tiene una disminución semestral del 30%, podemos calcular el precio de la memoria USB después de un semestre de la siguiente manera:

Precio después de un semestre = Precio inicial - (30% del precio inicial)

Precio después de un semestre = $990 - (0.3 x $990)

Precio después de un semestre = $990 - $297

Precio después de un semestre = $693

Por lo tanto, después de un semestre, el precio de la memoria USB sería de $693.

Para calcular el precio después de dos semestres, podemos usar el mismo método y aplicar la disminución del 30% al precio después de un semestre:

Precio después de dos semestres = Precio después de un semestre - (30% del precio después de un semestre)

Precio después de dos semestres = $693 - (0.3 x $693)

Precio después de dos semestres = $693 - $207.9

Precio después de dos semestres = $485.1

Por lo tanto, después de dos semestres, el precio de la memoria USB sería de $485.1.

\( \: \)

(i) The solution to the differential equation y″ − 4y' + 4y = t³, with initial conditions y(0) = 1 and y'(0) = 0, using Laplace transform is y(t) = (1/2)t³ + (3/2)t² + e^(2t).

(ii) The solution to the differential equation y" — 2y' + 5y = 1+t, with initial conditions y(0) = 0 and y′(0) = 4, using Laplace transform is y(t) = (1/4)t + (5/4) + (3/2)e^t - (3/2)e^(2t).

To solve the given differential equations using the Laplace transform, we first take the Laplace transform of both sides of the equation. Applying the Laplace transform to the derivatives and using the initial conditions, we obtain an algebraic equation in terms of the transformed variable, denoted by Y(s). We then solve this algebraic equation for Y(s) and find the inverse Laplace transform of Y(s) to obtain the solution y(t) in the time domain.

For the first differential equation (i), applying the Laplace transform and solving the resulting equation yields Y(s) = (s^3 + 3s^2 + 2)/(s^2 - 4s + 4). By taking the inverse Laplace transform, we get y(t) = (1/2)t³ + (3/2)t² + e^(2t).

For the second differential equation (ii), the Laplace transform gives Y(s) = (s + 5)/(s^2 - 2s + 5). Inverting this Laplace transform, we obtain y(t) = (1/4)t + (5/4) + (3/2)e^t - (3/2)e^(2t), which satisfies the given initial conditions.

LEARN MORE ABOUT differential equation here: brainly.com/question/31492438

#SPJ11

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

\(L=2\pi r\)

If we already know the length of the circle, we can solve the above expression for r:

\(\displaystyle r=\frac{L}{2\pi}\)

The distance given around a circular running track is L=200 m, thus:

\(\displaystyle r=\frac{200}{2\pi}=31.830989\ m\)

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer:

f(x) = x (x – a)(x – b)^2

Step-by-step explanation:

edge

f(x) = x (x – a)(x – b)^2  represent the graph on the right. Therefore, the correct option is option A.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.  The relationships between multiple items are frequently represented by the points on a graph.

The display of numerical data in a bar graph consists of rectangles (or bars) with equal widths and different heights. The distance between each bar is the same across the board. Bar graphs may be displayed vertical or horizontal. Each bar's value is directly correlated with either its height or length. f(x) = x (x – a)(x – b)^2 represent the graph on the right.

Therefore, the correct option is option A.

To know more about graph, here:

https://brainly.com/question/29183673

#SPJ7

Your question is incomplete but most probably your full question was,    

Let a and b be real numbers, where a≠b≠0 Which of the following functions could represent the graph on the right?

f(x) = x (x – a)(x – b)2

f(x) = (x – a)(x – b)2

f(x) = x(x – a)³(x – b)

f(x) = x2(x – a) 2(x – b)2

The equation of the function is y = 4/(x + 3) - 2

From the question, we have the following parameters that can be used in our computation:

y = 4/x

We have the asymptote to be

x = -3

This means that

x + 3 = 0

So, we have

y = 4/(x + 3)

Also, we have another asymptote to be

y = -2

So, the new equation becomes

y = 4/(x + 3) - 2

Hence, the equation si y = 4/(x + 3) - 2

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer:

2 is your right answer ok my friend

Answer: 4/5

Step-by-step explanation: It is 8/10, but if you simplify it, it is 4/5.

Answer: Inequality notation is < or ≥.

Step-by-step explanation:

EQUATION ONE: -5x + 7 > 47, x < -8

EQUATION TWO: -5x + 7 ≤ -43, x ≥ 10

Answer:

D α H

k = D/H

k = 3.50

Step-by-step explanation:

Amount paid, D is directly proportional to the number of hotdogs, H

D = $3.50 per hot dog

D = $3.50 is directly proportional to 1 hotdog

Hence,

D α H

D = kH

k = proportionality constant

H = 1

3.50 = k

k = 3.50

k = D/H

Answer:

8n + 7 = 2n

Step-by-step explanation:

Answer:

2t + 5.55 = 25.25

Step-by-step explanation:

t stands for tickets

and there's a 2 because there are 2 tickets

The equation that describes the situation will be;

⇒ 2x + $5.55 = $25.25

Where, 'x' is the amount of the ticket for each person.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Each of their tickets cost the same amount, and they share a frozen yogurt that cost $5.55.

And, The total amount they spend is 25.25.

Now,

Let the cost of the tickets for each friend = x

So, We can formulate;

⇒ x + x + $5.55 = $25.25

⇒ 2x + $5.55 = $25.25

Thus, The correct equation for this given situation is,

⇒ 2x + $5.55 = $25.25

Where, 'x' is the amount of the ticket for each person.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Answer:

$195.80

Step-by-step explanation:

44.50 x 4 = 178

178 x 10 = 17.80

178 + 17.80 = $195.80

Answer:

195.80

Step-by-step explanation:

4 x 44.50 = 178

178 x 10% =

178 x .1 = 17.8

178 + 17.8 = 195.80

The value of the equation is A = 1/2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 1/5 )r + 9/20   be equation (1)

On simplifying the equation , we get

when r = ( 1/4 )

Substituting the value of r in the equation , we get

A = ( 1/5 ) ( 1/4 ) + 9/20

A = ( 1/20 ) + ( 9/20 )

On further simplification , we get

A = 10/20

A = 1/2

Hence , the equation is A = 1/2

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The value of a polynomial at a particular point is defined as the value that the provided function yielded at that moment.

As an illustration, consider the polynomial function (x) = x + 1.

When x = 1 for example, the polynomial at that point is given by P(1) = 1+1 = 2.

Consequently, the polynomial P(x) has a value of 2 when x equals 1.

'What are polynomials?'

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

know more about variables here

https://brainly.com/question/15740935#

#SPJ4

The line plot shows the favorite color of the students in the class. Option A, 9 students liked red or blue.

The line plot presents four columns with red, blue, orange, and yellow colors at the bottom. The number of students liking the color is represented by the x variable. The line plot presents five x in the column of red and four x in the column of blue. Therefore, a total number of students liking the color red and blue are option 9.

A line plot or line chart presents a chart along the number line. Line dots are often used in the line chart but variables can be presented by alphabet as well. It presents the frequency of the number of times the variable is presented in the data. If the data is big in numbers, the legend is used to present the variable. For instance, the legend of the line plot is x. Therefore, x = 5 students.

Learn more about line plot here https://brainly.com/question/27246403

#SPJ4

Answer:

A

Step-by-step explanation:

Answer:

\(y=\frac{1}{4}x+6\)

Step-by-step explanation:

\(y=\frac{1}{4}x+6\) is the least steeped graph

As you can see, \(\frac{1}{4}\) is the smallest number/slope.

Hope this helps!

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

To classify a triangle by its angles and sides, we can use the properties and definitions of different types of triangles. Let's analyze the given triangle with sides measuring 8, 11, and 12 and angles measuring 45 degrees, 65 degrees, and 70 degrees.

Classification by angles:

Acute Triangle: An acute triangle has all three angles less than 90 degrees.

Obtuse Triangle: An obtuse triangle has one angle greater than 90 degrees.

Right Triangle: A right triangle has one angle exactly 90 degrees.

Based on the given angles of 45 degrees, 65 degrees, and 70 degrees, none of them are greater than 90 degrees, so we can classify the triangle as an Acute Triangle.

Classification by sides:

Equilateral Triangle: An equilateral triangle has all three sides of equal length.

Isosceles Triangle: An isosceles triangle has two sides of equal length.

Scalene Triangle: A scalene triangle has all three sides of different lengths.

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

In summary, based on the given measurements, the triangle can be classified as an Acute Scalene Triangle. We determined this by comparing the angles to the definitions of acute, obtuse, and right triangles, and comparing the side lengths to the definitions of equilateral, isosceles, and scalene triangles.

for such more question on Scalene Triangle

https://brainly.com/question/1621576

#SPJ11

Answer:

I need Help on this one too.

Step-by-step explanation:

please help

Answer:

c, c , a , d,

Step-by-step explanation:

First, we need to draw the points on the plane to get a better idea of the problem, as shown below

We can obtain the distance between the points and then use the next formula

where a, b and c are the sides of the triangle.

In our case,

Then, the area is

Simplifying the expression,

Therefore,

Finally,

The area of the triangle is 18.5 square units, and the perimeter is

The perimeter is 20.3 units

Answer:

volume = 3x6x2 = 36 cubic inches

Step-by-step explanation:

Answer:

That's easy, just take base times width times Hight. or in this case 6x2x3=

do this on a calculator. :)

Step-by-step explanation:

And anytime you are doing volume, it will always be cubed.

The approximate speed of a vehicle that left a skid mark measuring 100 feet is 47.63 miles per hour

Given the formula:

0.75d = s² / 30.25

Where,

d = length of the vehicle’s skid marks in feet = 100 feet

s = speed in miles per hour

Substitute d = 100 feet into the equation

0.75d = s² / 30.25

0.75(100) = s² / 30.25

75 = s² / 30.25

cross product

75 × 30.25 = s²

2,268.75 = s²

find the square root of both sides

s = √2,268.75

s = 47.63 miles per hour

Ultimately, 47.63 miles per hour is the approximate speed of the vehicle.

Read more on distance:

https://brainly.com/question/4931057

#SPJ1

Answer: 50.4

Step-by-step explanation:

The area of a triangle is base multiplied by height, then divided by two.

8* 6.3= 50.4

since theres two triangles you don't divide it

The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

To learn more about minimal of matrix, refer:

https://brainly.com/question/19084291

#SPJ4

Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

Answer:

Step-by-step explanation:

The total number of candies in the bag is 4 cherry + 8 orange + 2 lemon + 8 grape + 6 sour raspberry = 28 candies.

The probability of drawing a cherry on the first draw is 4/28, and the probability of drawing a sour raspberry on the second draw given that a cherry was drawn first is 6/27 (since there are 27 candies left in the bag after the first draw).

The probability of drawing a sour raspberry on the first draw is 6/28, and the probability of drawing a cherry on the second draw given that a sour raspberry was drawn first is 4/27.

Therefore, the probability of drawing one cherry and one sour raspberry in either order is:

(4/28) * (6/27) + (6/28) * (4/27) = 24/756 + 24/756 = 48/756

So the probability of drawing one cherry and one sour raspberry in either order is 48/756.