the sum of two numbers is 48 and the difference is 16 what are the numbers​

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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Answer:Given that y represents the cost, and x represents the number of classes, to complete the statements, the table is given for Gymnastics while the equation, y = 18x + 20 is given for Ice-skating program.

Since the table already shows the cost for each specific number of classes for Gymnastics, find that of Ice-skating program for 1, 2, 3, and 4 classes.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.

Ice-skating is less expensive  when the classes is 3 or 4.

Step-by-step explanation:

From the given function, When the number of classes is 1 the football is less expensive.

When the number of classes is 1, the basketball is less expensive.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Four main categories can be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

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Answer:

Hi Bunni  ,  :D

Step-by-step explanation:

a =2

b= -8

c = 9

axis of symmetry  is

-(-8) / 2(2)

8 / 4

2

vertex = ( 2, 1)  

:)

Answer:

18,162.24 / D

Step-by-step explanation:

12 months per year times 4 years is 48 months

819.20 x 48 = 39,321.60 which is what she is paying

440.82 x 42 = 21,159.36 which is what she could be paying

so do 39321.60 - 21159.36 to get 18,162.24 or answer D.

Answer:

C

Step-by-step explanation:

Edunuity

Answer:

P(x)=x⁴+9x-44

Step-by-step explanation:

The circumference of the circle in terms of pi, based on the area of the circle is 6 π.

The area of a circle can be found by the formula:

= π x radius x radius

= π x radius ²

If the area of the circle is 9π cm², then the radius is:
= √9π cm²

= 3 π cm

The diameter of a circle is double the radius so the diameter is:

= 3 x 2

= 6 cm

The circumference of a circle is:
= π x diameter

= π x 6

= 6π

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Answer:

trips, total riders

0 0

5 100

10 200

15 300

20 400

25 500

30 600

Answer:

100

200

300

400

500

600

statistics is the calculation or manipulation of data or any other things where the operation of addition division multiplication substraction will be held but not any other logic related to non tangible

non statistical sampling is where calculation or any other means of addition substraction is not done but the judgement is done on the basis of examiners mind but not on the basis of any calculation .

we can use statistic in every day life also in every field because if we do any calculation then it is a part of mathematical statistic

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These are the two major arcs of circle ⊙L that contain point K.

Given:Circle ⊙L.Below is the given circle:Observing the given circle below:a. It appears that the semicircles of the circle ⊙L are as follows:

Semicircle 1: The major arc that covers the points J and K can be seen as a semicircle.

Semicircle 2: The major arc that covers the points G and H can be seen as a semicircle. Thus, these are the two semicircles of circle ⊙L.  

b. It appears that the major arcs of the circle ⊙L that contain point K are as follows:

Major arc 1: It is the major arc that covers the points J and K. Thus, it contains the point K.

Major arc 2: It is the major arc that covers the points K and G. Thus, it contains the point K.

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Answer:

3x + 3y = x+ 7y is the equation and solutions are in bold below

subtract 3y from both sides

3x= x + 4y

subtract x from both sides

2x=4y

divide both sides by 2

x = 2y

Now we solve for y

3x + 3y = x+ 7y

2x=4y

0.5x = y

y = 0.5x or 1/2x

Step-by-step explanation:

You must run approximately 3.04 miles per day for the remaining five days in order to complete the total distance of 20 miles.

Let's denote the number of miles you must run per day for the remaining five days as "m".

On the first two days, you ran a total of 4.8 miles. Therefore, the total distance left to cover in the remaining five days is 20 miles - 4.8 miles = 15.2 miles.

Since you will be running the same amount each day for the remaining five days, the total distance covered in those five days will be 5 * m miles.

To determine the value of "m," we can set up an equation:

5 * m = 15.2

Dividing both sides of the equation by 5:

m = 15.2 / 5

m ≈ 3.04

Therefore, you must run approximately 3.04 miles per day for the remaining five days in order to complete the total distance of 20 miles.

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Answer:

6 3/100

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

property of equality for multiplication, property of equality for multiplication says that if a=b then axc=bxc. If you multiply the same number to both sides of an equation, the equation is still true.

Based on the equation y = 0.13x + 46, the correct statement is:

The equation indicates that for every additional unit (mile) in the independent variable (flight distance), the dependent variable (ticket price) increases by the coefficient 0.13, which represents 13 cents.

Therefore, the equation suggests a linear relationship between flight distance and ticket price, with a constant increase of 13 cents per mile.

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Answer:

Hello,

3.85

Step-by-step explanation:

\(Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75\)

The study described is a retrospective study.

A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.

In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.

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The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Probability is a value used to measure the degree of occurrence of a random event. The word probability itself is often referred to as opportunity or possibility. Probability is generally the chance that something will happen.

The concept of probability has an important role in everyday life, starting from the scientific field, the government sector, the business or industry sector, to small issues such as entering the office or not due to thick clouds which are likely to rain heavily and flood .

In studying probability, there are three keywords that must be known namely experiments, outcomes and events or events.

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Answer/Step-by-step explanation:

1. -14

2. 3

3. -3

4. 10

5. -8

1. 4 x -3 = -12 - 2 = 14

2. -3 x 2 = -6 + 9 = 3

3. 8 divided by 4 = 2 - 5 = -3

4. 3/2 = 1.5 x 2 = 3 + 7 = 10

5. -9/3 = -3 - 5 = -8

Answer:

Step-by-step explanation:

8) angle 2 (or angle 3)

9) angle 4

10) angle 5

Answer:

(1) Angle 1 and angle __2__ are supplementary angles.

(2) Angle 8 and angle __4__ are corresponding angles.

(3) Angle 6 and angle __7__ are vertical angles.

Mark me brainliest please

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

A,C and D

Step-by-step explanation:

Option A,C and D are not polynomials.

Step-by-step explanation:

Polynomial functions are given by

             p(x) = a₀ + a₁x¹+ a₂x²+ ...........+aₙxⁿ

             Where a₀, a₁, a₂, ..., an are constant coefficients and n is non negative integer.

Option A

        Here one exponent of x is -2, so this is not a polynomial function.

Option B

        Here all the exponents are non negative integer, so this is a polynomial.

Option C

        Here one exponent of x is 0.5, so this is not a polynomial function.

Option D

      p(x)= x⁻²+x+1

        Here one exponent of x is -2, so this is not a polynomial function.

Option E

        Here all the exponents are non negative integer, so this is a polynomial.

Option A,C and D are not polynomials.

Answer:

A

D

Step-by-step explanation:

I believe those are correct however im not that good at this soooooo.

Good luck

Answer:

C

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

C.

Step-by-step explanation:

Pythagrean Theorem is on C

To find out at what point will the ball hit the ground if Chase needs to throw a basketball so that the path of the ball follows the curve of y = -x(x - 3), we can begin by setting y equal to zero. Then, solve for x. Let's get started:y = -x(x - 3)0 = -x(x - 3). The ball will hit the ground at the points (0,0) and (3,0).

We can solve this equation by using the zero-product property. That means setting each factor equal to zero and solving for x:-x = 0orx - 3 = 0x = 0or x = 3So, the ball will hit the ground at the points where x = 0 and x = 3. To determine the corresponding y-coordinates of these points, we can substitute each value of x into the equation for y:y = -x(x - 3)For x = 0:y = -0(0 - 3) = 0For x = 3:y = -3(3 - 3) = 0

Therefore, the ball will hit the ground at the points (0,0) and (3,0).

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By setting y in the equation y = -x(x-3) to 0 and solving for x, we find that Chase's basketball hits the ground at x = 0 and x = 3.

In this problem, we have the equation of the basketball's trajectory as y = -x(x-3). The curve is derived from a quadratic equation, and since the basketball hits the ground when y equals to zero, we simply set y to 0 and solve for x. So we will have the following: 0 = -x(x-3). To solve this equation, we can set each factor equal to zero: -x = 0 and x - 3 = 0. Solving these equations give us x = 0 and x = 3, respectively. These are the two points where the ball hits the ground. Thus,Chase's basketball will hit the ground at the starting point of x = 0, where Chase threw the ball, and at x = 3, the point where the basketball lands.

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Answer:

what are the numbers shown?

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

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The given expression is

First, we solve the powers and the root

We solve the products on each side of the fraction

Now, we divide whole numbers each other and powers each other

Step-by-step explanation:

Step 1.) Plug in the numbers to each variable

(2(-25) -13) ÷ (-8.25)15

Step 2.) Solve in Parenthesis

(-50-13) ÷ -123.75

= -63÷-123.75

Step 3: Reduce/Solve

=28/55 (Fraction)

or

=0.51 (Decimal Rounded to nearest 10th)

The admission fee for the zoo and for the state park is given as follows:

For the zoo, the costs are divided as follows:

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

The table is given by the image presented at the end of the answer.

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