What is the difference in credit score between those over the age of 55 and those between 18-24 years old?

The equation of the function is y = 10 * sin(x/2pi) + 5.

What is the sinusoidal function?

The period of a sinusoidal function is the time it takes for the sinusoidal function to complete one cycle of revolution.

The graph of a sinusoidal function can be represented by the equation:

y = A * sin(B(x - C)) + D

where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

From the information given, we know that the maximum point is at (0,5) and the minimum point is at (2pi,-5). We can use this information to find the values of A, B, C, and D.

The amplitude is the distance between the maximum and minimum points. In this case, it is 5 - (-5) = 10. So A = 10.

The period of the function is the distance between two consecutive maximum or minimum points. In this case, it is 2π.

So the frequency is 1/2π.

The horizontal shift is the amount by which the function is shifted along the x-axis. In this case, the maximum point is at x = 0, so the function is not shifted horizontally. So C = 0.

The vertical shift is the amount by which the function is shifted along the y-axis. In this case, the maximum point is at y = 5, so the function is shifted upward by 5. So D = 5.

So the equation of the function is:

y = 10 * sin(1/2pi (x - 0)) + 5

y = 10 * sin(x/2pi) + 5

where x is entered in radians.

Hence, the equation of the function is y = 10 * sin(x/2pi) + 5.

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Answer:

(1/2, 5)

Step-by-step explanation:

8x + 7y = 39

-2(4x - 14y = -68)

-8x + 28y = 136

8x + 7y = 39

add the two equations together

35y = 175

y = 5

8x + 7(5) = 39

8x = 4

x = 1/2

Answer:

Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).

Step-by-step explanation:

exactly from EDGE 2020

Solution:

Given that a committee of 4 teachers and 3 students is to be formed from 12 teachers and 35 students, we have

Recall that:

This gives:

Hence, the number of committees that can be formed is

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.

To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.

Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.

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The odd numbers that are less than 20, in order, are listed as follows:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Hence Brian's claim that only even numbers are composite is false, as the numbers 3 and 5 on this list are composite, and they are odd numbers.

Odd numbers are numbers that are not divisible by 2, hence they are numbers that have the last digit as follows:

1, 3, 5, 7 or 9.

Then the odd numbers less than 20 are listed as follows:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Composite numbers are numbers that have more than two factors, that is, numbers that are not prime.

From the listed numbers, we have that:

Hence it can be proven by contradiction that Brian's claim is false, as we showed two examples of odd numbers that are composite numbers.

Brian's claim is that only even numbers are composite.

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Combination refers to a way of grouping the elements of a set into a subset in an undered form whereas Permutation is a way of grouping the elements of a set into a subset in an ordered form.

The formula for combination is: C(n,q) = n!/[q !(n-q)!]

The formula for permutation is: P(n,q) = n!/(n-q)!

A real life example of permutation involves selecting 10 people to join a group where they are assigned different duties and a real life example of permutation is selecting 10 people to join a group where they are assigned duties on a first come first served basis.

A specific example of combination is this: In a collection of 17 individuals, 7 $2 cards will be given. In how many ways can the cards be shared? This is combination because there is no set order.

A specific example of permutation is this: In a competition, three individuals contest. In how many ways can they have the 1st, 2nd, and 3rd positions?

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Answer:

0.51km × 1000 = 510m

510m × (3×7) = 510m × 21 = 10710m in whole

Step-by-step explanation:

first we transform km to m (multiply by 1000)

then we count how much days are in three weeks ( 3 weeks × 7 days)

then we just multiply the meters per day × the days

99% it's true

Answer:

6 is correct....

actually this problem is quite si,p;e to see that it is correct

notice that the length of the triangle is 4 and the height is 3

thus a rectangle 4*3 area is twelve ...

if you make a copy of the triangle and flip it you will see it makes

a 4x3 rectangle ... the original and copy = 12 thus 1/2 of the 12 is the area of the original triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The total population of Deer's in the given span area is 5852 Deer's.

Population density is defined as the total number of humans presence

per unit square miles. Mathematically, we can write -

Population density = (Total human population)/(Total span area)

Given is that a county in north Carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile

We can write the total population of Deer's in the given span area as -

Population = Deer's population density x total area span

Population = 11 x 532

Population = 5852

Therefore, the total population of Deer's in the given span area is 5852 Deer's.

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Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

The range of the data is R = 9

Given data ,

Let the range of the data be R

Now , the value of R is R = maximum value - minimum value

Let the data be A = { 5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5 }

The range of a set of data, we need to subtract the minimum value from the maximum value.

The minimum value in this set of data is 3 (which occurs in the third week), and the maximum value is 12 (which occurs in the fourth week).

Therefore, the range is:

range = maximum value - minimum value = 12 - 3 = 9

Hence , the value of the range for this set of data is 9

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Answer:

15

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

Surface area of a square pyramid:

To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:

Pythagorean theorem for the right triangle above:

Perimeter of the base is:

Area of the square base:

Then, the surface area of the given pyramid is

Step-by-step explanation:

Let's say that the you have to found the mean of 5, 2, and 8

first you would have to add up all of the number 5+2+8 which equals to 15

now you would have divide 15 by the amount of the data points which is 3, so your mean in this problem is 5.

here is an example by only using numbers:

(5+2+8) ÷ 3 = 5

The volume of the pyramid is 3733.33 m³.

Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangular faces that intersect above its base, a pyramid is a particular kind of polyhedron (the apex).

The building is in the shape of a square pyramid.

The base of the building is 20 meters long.

The height of the building is 28  meters.

The volume of the right square pyramid is given as:

V = ( 1/3)a²h

Where a is the base and h is the height.

Now we have,

a = 20 m and h = 28 m

So,

V = ( 1/3 ) × 20 × 20 × 28

V = ( 1/3 ) × ( 20 )² × 28

V = 11200/3

V = 3733.33 m³

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Answer:

3 looks right but I am not so sure

Step-by-step explanation:

sorry if i am wring

The correct answer include the following: A) The given value is a parameter for the week because the data collected represent a population.

In Statistics and Mathematics, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.

In this context, we can reasonably infer and logically deduce that the amount of voltage that was supplied to this homeowner's home represent a parameter for the week since the data collected represents a population.

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Complete Question:

A homeowner measured the voltage supplied to his home on all 7 days of a given week​, and the average​ (mean) value is 120.6 volts.

Choose the correct answer below.

A) The given value is a parameter for the week because the data collected represent a population.

B) The given value is a statistic for the week because the data collected represent a sample

C) The given value is a statistic for the week because the data collected represent a population.

D)The given value is a parameter for the week because the data collected represent a sample.

100/10 can be renamed as 10/1 because that is the final solution that is divisible.

If we divide both the numerator and the denominator by 10.

100 ÷ 10 = 10

10 ÷ 10 = 1

Therefore, 100/10 = 10/1

So, the simplified version of the fraction 100/10 is 10/1, which is essentially just 10 because in mathematics, anything divided by 1 is the value of the number,

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Answer:

A

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Given in comment:

5,4,3,2 = Spinner

Thus, there are 4 possible answer

Given:

If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16

3/16

1/8

1/4

Solve:

Knowing that there only One 5 and One 2 on the spinner.

Thus, in fraction form - 1/4 and 1/4

Probability land on 5 = 1/4

Probability land on 2 = 1/4

Because there are 4 possible solution and one of each is 5,4,3,2

Now, multiply then together:

1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}

Put Together:

1/16

Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16  

~Lenvy~

Answer:

1/16

Step-by-step explanation:

so, per your additional information the "spinner" has 4 possible results : 5, 4, 3 ,2

I guess, they are like the six numbers on a die equally probable.

that means the probabilty to get one of the 4 possible answers is 1/4 (desired outcomes over all possible outcomes).

now, to make the experiment twice and link the results as one desired outcome (like a 5 and a 2, or two 4s, or ...), we can multiply the probabilities as combined events without overlapping.

why ?

similar to a die with 6 possible results, we have here for every one of the 4 possible results of the first spin, we have 4 possible results of the second spin.

so, the probability of one particular set of 2 results is

1/4 × 1/4 = 1/16

in other words, it is 1/4 to get 5 on the second spin, and 1/4 to get 2 on the second spin. because we want both to happen as one desired result, both events have to happen as combination (and not as "or"). hence the multiplication.

Answer:

..

Step-by-step explanation:

no the correct point would be (7,12)

7x1=7

7+5=12

Answer:

nop0e

Step-by-step explanation:

Answer:

g(-2) = 3

x = -2.535 and -0.131

Step-by-step explanation:

1. a) The median is 148. b) The midrange is 148. c) The sample mean is 81.8. d) The sample standard deviation is 76.08. 2. The probability that Sam will get a parking ticket given that he parked in a no-parking zone is 0.06.

1. a) Find the median. The median is the middle value when the data set is arranged in order from smallest to largest. Since there are five numbers, the middle number will be the third one when they are arranged in order. So, the median is 148.

3, 30, 71, 148, 157

b) Find the midrange. The midrange is the average of the maximum and minimum values in the data set. The maximum value is 157, and the minimum value is 3.

Midrange = (157 + 3) / 2 = 80

c) Find the sample mean. The sample mean is the average of all the values in the data set.

Sample mean = (3 + 30 + 148 + 157 + 71) / 5 = 81.8

d) Find the sample standard deviation. To find the sample standard deviation, we need to use the formula:

s = √ [ Σ(xi - x)² / (n - 1) ]

where:

xi = each value in the data set

x = the sample mean

n = the sample size

Σ = the sum of

Using the given values:

s = √ [( (3 - 81.8)² + (30 - 81.8)² + (148 - 81.8)² + (157 - 81.8)² + (71 - 81.8)² ) / (5 - 1) ]

s = √ [23148.16 / 4]

s = √ [5787.04]

s = 76.08

2. The probability that Sam parks in a no-parking zone and gets a parking ticket is 6%, and the probability that Sam cannot find a legal parking space and has to park in the no-parking zone is 20%.

Let A be the event that Sam parks in a no-parking zone and B be the event that Sam gets a parking ticket.

We want to find P(B|A), the probability that Sam will get a parking ticket given that he parked in a no-parking zone.

Using Bayes' theorem:

P(B|A) = P(A|B) x P(B) / P(A)

P(B) = 0.06 (given)

P(A|B) = the probability that Sam parked in a no-parking zone given that he got a parking ticket. This is not given directly, but we can use the information that Sam parks in a no-parking zone with a probability of 20%, and out of those times he gets a parking ticket with a probability of 6%. So:

P(A|B) = P(A and B) / P(B)

P(A and B) = P(B|A) x P(A) = 0.06 x 0.20 = 0.012

P(A|B) = P(A and B) / P(B) = 0.012 / 0.06 = 0.2

P(A) = the probability that Sam parks in a no-parking zone, whether or not he gets a ticket. This is 20% (given).

So, substituting into Bayes' theorem:

P(B|A) = P(A|B) x P(B) / P(A) = 0.2 x 0.06 / 0.20 = 0.06

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Answer:

See below ~

Step-by-step explanation:

a) Forming the equation :

⇒ We start with a number, x

⇒ Now we double it so : 2(x) = 2x

⇒ Then we add 11 to it : 2x + (11) = 2x + 11

⇒ It is equal to 25 : 2x + 11 = 25

b) Solving the equation :

Subtract 11 from both sides :

⇒ 2x + 11 - 11 = 25 - 11

⇒ 2x = 14

Divide 2 on both sides :

⇒ 2x/2 = 14/2

⇒ x = 7

Let unknown number be x

Double it

Add eleven

You got 25

Lets solve the equation

Answer:

x=0.4

Step-by-step explanation:

Put both equations equal to each other:

16x+2=7x+6

Now, Solve:

16x+2=7x+6   Set the equation

16x-7x=6-2     Move like terms together

9x=4              Subtract like terms

x=4/9             Simplify

x=0.4             Answer

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Answer:

Step-by-step explanation:

Dividing :  6x2-x+12  

                             ("Dividend")

By         :    2x-3    ("Divisor")

dividend     6x2  -  x  +  12  

- divisor  * 3x1     6x2  -  9x      

remainder         8x  +  12  

- divisor  * 4x0         8x  -  12  

remainder             24  

Quotient :  3x+4  

Remainder :  24

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

\(1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)\)

     \(6x^2 + x -12 = 6x^2 + 9x - 8x -12\)

                        \(=3x(2x + 3)-4(2x + 3)\\\\=(3x -4)(2x + 3)\)

 \(\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)\)

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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