by making the change of variable , show that (this is a fundamental result for probability and statistics.)

Answer: x=43, y=180

Step-by-step explanation: x is 43 because the 43 next to it has the same value. y is 180 because the angle is a straight line.

Answer:

Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.

Step-by-step explanation:

The false statement about the quadratic functions below is: b) The graphs of all these functions have the same axis of symmetry.

a) The graphs of two of these functions can indeed have a minimum point. Quadratic functions can have a minimum or maximum point depending on the coefficient of the leading term.

b) This statement is false. The axis of symmetry of a quadratic function is determined by the coefficient of the quadratic term (x^2). Since the given functions can have different coefficients for the quadratic term, their axes of symmetry can be different.

c) The graphs of two of these functions may not cross the x-axis. This depends on the position of the vertex and the concavity of the parabola. If the vertex is above the x-axis, the graph will not intersect it.

d) The graphs of all these functions can have different y-intercepts. The y-intercept is determined by the constant term in the quadratic function, which can vary for different functions.

Therefore, the false statement is b) The graphs of all these functions have the same axis of symmetry.

To know more about quadratic functions, click here: brainly.com/question/18958913

#SPJ11

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

To learn more about the total cost click here:

https://brainly.com/question/2433744

#SPJ1

The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

Step-by-step explanation:

x            y

1            2

2           4

3           9

4           16

This sounds like a quadratic equation of f(x)=x^2, thus, the range is:

The inequality to represent the possible number of hours Kat can afford to book the DJ is 80x + 225 ≤ 970 and one possible length Kat can afford to book the DJ is 9 hours.

(a) Let x be the number of hours that Kat can book the DJ. Then, the total cost of the DJ is 80x, and the total cost of the party is 80x + 225.

Since Kat has $410 saved and will earn another $560, the total amount she can spend on the party is $410 + $560 = $970.

Therefore, we can write the following inequality to represent the possible number of hours Kat can afford to book the DJ:

80x + 225 ≤ 970

b) To solve for x, we can start by subtracting 225 from both sides of the inequality:

80x ≤ 745

Then, we can divide both sides by 80:

x ≤ 9.3125

Since Kat can only book the DJ in whole hours, the largest integer less than or equal to 9.3125 is 9. Therefore, one possible length Kat can afford to book the DJ is 9 hours.

Learn more about inequality here:

https://brainly.com/question/25944814

#SPJ1

Answer:

The train is 0839

Step-by-step explanation:

First off, 0620 and 0746 are not available options, as Jean would've immediately know, as they're the only one with non-repeated minutes.

Now, when Marie says "I'm sure neither does Jean", it means she didn't get 06 or 07, as those are the number that has 0620 and 0746, which then she cannot ensure that Jean doesn't know the train arrival.

We're left with 0825, 0839, 0917, 0925 and 0950

After that, Jean said he knows the train number. So, he couldnt've gotten 25, as it is repeated in the 5 options we pick. => we're left with 0839, 0917 and 0950.

And then, Marie responds now she does as well, which it cannot be 09, as it is repeated.

So, the train number is 0839.

Answer:

the ratio of boys to girls in Mr Hegarty's class is 5:3 (in its simplest form).

Step-by-step explanation:

For every 3 girls, there are 5 boys, which can be written as a ratio of 5:3 (boys to girls).

To simplify the ratio, we can divide both sides by the greatest common factor of 5 and 3, which is 1.

Answer:

y=x-1

Step-by-step explanation:

Answer:

not answered this question

The number that represents the situation is 59.

Let's represent the tens digit of the two-digit number as 'x' and the units digit as 'y'.

According to the problem, the sum of the digits is 14, so we can write the equation: x + y = 14.

When we reverse the digits, the new number is obtained by swapping the tens and units digits. So, the new number is represented as 10y + x.

The problem states that this new number is 36 more than the original number, so we can write the equation: 10y + x = (10x + y) + 36.

Simplifying the equation: 10y + x = 10x + y + 36.

Rearranging the terms: 9y - 9x = 36.

Dividing both sides of the equation by 9, we get: y - x = 4.

Now, we have a system of equations:

x + y = 14

y - x = 4

Solving this system of equations can be done by adding the two equations together:

(x + y) + (y - x) = 14 + 4

2y = 18

y = 9

Substituting the value of y back into the first equation:

x + 9 = 14

x = 5

Therefore, the number is 59.

To learn more about the system of equations;

brainly.com/question/13729904

#SPJ1

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7).

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the graph with 1 maximum and 1 minimum and 1 x and y-intercept.

A key feature of the polynomial graph ;

Local maximum (2.1,0.7),

End behavior is positive infinity to negative infinity,

Local minimum (-2.7,-4.9),

y interception (0,-1.5),

x interception (2.1,0.7).

Hence "For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7)".

For more information about the graph of a function,

brainly.com/question/27757761

#SPJ1

The stack of  paper will be 3355.4432 meters high after stacking halves of it tearing up for 25 times by method of unit conversion from millimeters to meters.

A sheet of paper is 0.1 mm thick.
It is folded in halves for 25 times by tearing it.
The above information can be represented in an equation form as,
Height of the paper stack = (0.1)* (\(2^{n}\)) in millimeters
where, n denotes the number of times paper is folded.
Thus, height of the paper stack after tearing it in halves for 25 times we get,
Height = (0.1)* (\(2^{25}\)) in millimeters
= 3355443.2 millimeters
We can convert milimmillimeters in meters by the following way as,
1 millimeter = 0.001 meter
Therefore, 33355443.2 millimeters = (0.001)(3355443.2) meters
= 3355.4432 meters

To know more about method of unit conversion hhere

https://brainly.com/question/26543946

#SPJ4

Step-by-step explanation:

The sum of the measures of the two angles is 75° because of the sum of angles in a triangle which means that both angles are acute. This also means that the measure of neither angle is more than 75°.

Answer:

A, B, E

Step-by-step explanation:

both angles are acute

The sum of the measures of the two angles is 75°

The measure of neither angle is more than 75°

Answer:

if each antler has 4 points, the buck would be considered a 4-point buck.

Step-by-step explanation:

When counting the antlers on a buck, or any other deer species, the practice is to count each antler separately, and not to count them together. Therefore, if each antler has 4 points, the buck would be considered a 4-point buck. This method of counting antler points is used for hunting and trophy classification.

It is worth mentioning that there are different scoring systems used to judge the size of the deer, and some systems may include additional measurements such as the length of the antler beams or the width of the antler spreads. However, counting the antler points on each antler is the most common method used to classify deer and determine their size.

Answer: I calculated the value after 5 years to be 5,734.40 or 5,734

Step-by-step explanation:

In the experiment, the subject whose behavior is being assessed are observational units. The observational unit in this instance is Harley (Dog).

We will first investigate if canines can comprehend both non-human and human gestures in this investigation. The dogs were placed around 2.5 meters apart from the experimenter so that the researchers could test this. Two glasses were placed one on either side of the experimenter.

A gesture would be made at one of the cups by either the experimenter (pointing, bowing, or staring) or by a non-human object (a mechanical arm pointing, a doll pointing, or a stuffed animal looking). After then, the scientists would observe whether the dog would approach the cup that was pointed out. Six dogs were put to the test. We'll focus on one of the dogs who participated in both of his trial sets.

The four-year-old mixed breed dog was given the name Harley. Each of the ten trials in a set consisted of one gesture and one pair of cups. In order to see if Harley would approach a particular cup, the experimenter bowed toward it during one round of experiments.

To learn more about observational units link is here

brainly.com/question/29518080

#SPJ4

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

If a=4, b=6, and sina=3/5 in triangle abc, then sin b equals: 9/10

To find sin(b) in triangle ABC, we can use the sine function in a right angle and the given information.

Given:

a = 4

b = 6

sin(a) = 3/5

We know that the sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle ABC, let's label the side opposite angle a as side c and the hypotenuse as side h.

sin(a) = c / h

Substituting the given values:

3/5 = 4 / h

To solve for h, we can cross-multiply:

3h = 5 * 4

3h = 20

h = 20 / 3

Now, we can use the sine function to find sin(b):

sin(b) = side opposite angle b / hypotenuse

sin(b) = 6 / (20 / 3)

sin(b) = 6 * (3 / 20)

sin(b) = 18 / 20

sin(b) = 9 / 10

Therefore, sin(b) equals 9/10.

To know more about Sine function:

https://brainly.com/question/21902442

#SPJ11

6 we must divide the number of sandwiches by the number of girls

each girl receives less than a sandwich but more than half a sandwich

you can say that 5/6 of a sandwich

the first box is 6 because you divide the numbr of sandwiches between girls

the second box is 5/6 or 0.83

and the las box is the solution so 5/6 or 0.83

Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

Learn more about collinear points here: https://brainly.com/question/17314715

#SPJ4

The length AC of the isosceles triangle is 6 units.

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.

The base angles of an isosceles triangle is congruent. The legs of the isosceles triangle is equal.

Therefore, triangle ABC is an isosceles triangle.

Therefore,

3x - 8 = x + 4

3x - x = 4 + 8

2x = 12

x = 12 / 2

x = 6

Let's find the length AC

AC = x

Hence,

AC = 6 units

learn more on isosceles triangle here:https://brainly.com/question/9179897

#SPJ1

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

The following are five different examples of parametric models: exponential distributions, poisson distributions, normal distributions, the Weibull distribution, and linear regressions.

Types of Parametric test–

To learn more about parametric refer to:

https://brainly.com/question/12297627

#SPJ1

whilst plotting the calibration curve, various concentrations and respective absorbance is at the x-axis and the y-axis, respectively

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

calibrating curve:

A calibration curve, additionally called a well-known curve, is a fashionable technique for figuring out the awareness of a substance in an unknown pattern via way of means of evaluating the unknown to a fixed of well-known samples of recognized awareness.

A calibration curve is a linear graphical representation of standard solutions of varying concertation on the X-axis and their respective absorbance on the Y-axis.

Therefore, when plotting the calibration curve, varying concentrations and   respective absorbance is on the x-axis and the y-axis, respectively

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ1