I need help on this quesion. (Easy)

Using the elimination method, we can find that Eileen has 23 dimes and 17 quarters in her piggy bank.

A frequent approach for resolving a set of two-variable linear equations is the elimination method. The goal of this approach is to remove one of the variables by combining or deleting the two equations. The goal is to create a new equation with one variable removed, leaving a single variable in the equation.

Let x be the number of dimes and y be the number of quarters.

To solve for x and y, we can use the elimination method.

We can multiply equation 1 by 0.10 and subtract it from equation 2 to eliminate x:

0.10x + 0.25y = 6.55

0.10x + 0.10y = 4

0.15y = 2.55

y = 17

Substituting y = 17 into equation 1, we get:

x + 17 = 40

x = 23

Therefore, using the elimination method, Eileen has 23 dimes and 17 quarters in her piggy bank.

To learn more about Elimination method, refer to:

https://brainly.com/question/28405823

#SPJ4

Answer:  The player runs 7 meters forward and then runs 7 meters in the opposite direction.

Step-by-step explanation:

Answer:

i think that the correct answer is 7/12

Answer:

5.83

Step-by-step explanation:

15 ÷ 2.57 = 5.8

mark as brainllest

the answer is 5.83

hope it's help

The value of x which is hypotenuse is 4 units .

Using pythagoras theorem ,

( a ^ 2 ) + ( b ^ 2 ) = ( h ^ 2 )

where a is the base , b is a side and h is the hypotenuse of a right- angled triangle .

First triangle's hypotenuse = \(\sqrt{2}\)

Second triangle's hypotenuse = \(\sqrt{3}\)

Third triangle's hypotenuse = 2

Therefore ,

Last triangle's hypotenuse = \(\sqrt{15}\)

Hence ,

( \(\sqrt{15}\) ^ 2 ) + [ ( 1 ) ^ 2 ] = x ^ 2

15 + 1 = x ^ 2

16 = x ^ 2

x = 4

Therefore , the value of x which is hypotenuse is 4 units .

To learn more on pythagoras theorem follow link :

https://brainly.com/question/21332040

#SPJ9

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

Answer:

(0,6) goes in x-axis

(5, -2) goes in quadrant IV

(-1, 10) goes in quadrant II

(8, 7, 2, 3) goes in quadrant I

(-¼, -6 ½) goes in quadrant III

Step-by-step explanation:

since (0,6) starts with a zero that means it says on the x-axis

(5, -2) goes into quadrant IV because the first number is positive and the second one is negative (+,-)

(-1, 10) goes into quadrant II because the first number is negative and the second number is positive (-,+)

(8, 7, 2, 3) goes into quadrant I because all the numbers are positive (+, +)

(-¼, -6 ½) goes into quadrant III because both numbers are negative (-, -)

have a good day/night!

1. Component form of a force vector: An engineer analyzes forces on a car's suspension system during turns. Breaking down the force vector into components ensures stability and safety.

2. Overlaying a polar coordinate system: Air traffic controllers use polar coordinates to guide aircraft during landings, accurately representing positions relative to a control tower for efficient airspace management and safety.

Let us discuss in a detailed way:

1. To find the component form of a force vector, let's consider the following real-world situation:

Imagine you are an engineer designing a suspension system for a new car model. One of the crucial design factors is ensuring the system can handle forces acting on the wheels during turns. To analyze these forces, you need to break down the resultant force acting on the wheels into its component form.

By breaking down the force vector into its components, you can determine the specific forces acting in the horizontal and vertical directions. This information is vital for calculating the stresses and strains on various suspension components, such as springs and shock absorbers, and ensuring they can handle the load.

Analyzing the component form of the force vector allows you to understand the individual forces acting on the suspension system. It helps you determine the necessary design parameters and select appropriate materials to ensure the system's stability, performance, and safety.

2. Now, let's consider a real-world situation where overlaying a polar coordinate system is useful:

Imagine you are an air traffic controller responsible for guiding aircraft during landing procedures. To efficiently direct the planes, you need to determine the positions of the aircraft relative to a specific reference point, such as the control tower.

In this situation, overlaying a polar coordinate system allows you to represent the positions of the aircraft accurately. By choosing the control tower as the pole and extending the polar axis outward, you can use polar coordinates to specify the distance and direction of each aircraft from the control tower.

This polar coordinate system enables you to quickly identify the location of each aircraft, calculate the distances between them, and provide precise instructions for landing sequences. By using polar coordinates, you can effectively manage the airspace, ensure the safety of incoming aircraft, and prevent any potential collisions.

To know more about overlaying a coordinate system, refer here:

https://brainly.com/question/24900511#

#SPJ11

Answer:

\(\frac{2}{3} \sqrt{3}\)

Step-by-step explanation:

We know this triangle has angles 30, 60, and 90 degrees. Triangles with these angles have a special relationship on the sides.

The side opposite to the 90 degree angle is 2 times of x.

The side opposite to the 60 degree angle is \(\sqrt{3}\) multiplied x.

We know the side opposite to 60 degree angle is 2, so x would be

\(\frac{2}{\sqrt{3}}\)

However, we can't have an irrational number in the demoninator so we multiply the fractice by root 3 over root 3:

\(\frac{2}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}\)

which gives us \(\frac{2}{3} \sqrt{3}\)

Answer:

10.33m/s

Step-by-step explanation:

Vfinal - Vinitial/time = acceleration

\( \frac{31 - 0}{3} \)

\( = 10.33\)

SOLUTION:

Case: Initial value problem

An initial value problem is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain

To solve the initial value problem, we have a value of the derivative of y when x is known.

y'(x)= value

Given:

f(4)=2

The resulting equation will be:

Final answer:

Answer:

The graph in the top right hand corner.

Hope this helps :)

Step-by-step explanation:

The formula y = mx + b

shows that m is the slope and b is the y-intercept.

m = 34

b = - 3

So to find the equation of the graph I looked at the y-intercept which is -3 and the graph in the right hand corner has a y-inyercept of -3 so that graph represents the equation y = 34x - 3

Reason:

The equation is y = (3/4)x - 3 which is in y = mx+b form

m = slope = 3/4

b = -3 = y intercept

The y intercept of -3 means the point (0,-3) is on the line. Start at this point and go up 3, then to the right 4 to arrive at (4,0) which is the x intercept. The motion "up 3, right 4" is directly from the slope 3/4

slope = rise/run = 3/4

rise = 3 = go up 3

run = 4 = go right 4

Answer:

4 15 inches of chains

Step-by-step explanation:

The statement that states the difference between the population parameters between two groups is zero is referred to as the null hypothesis. Therefore, the correct answer is option b: null hypothesis.

In statistical hypothesis testing, we compare the observed data from two groups or samples to determine if there is evidence to support a difference or relationship between the populations they represent. The null hypothesis (option b) is a statement that assumes there is no difference or relationship between the population parameters being compared.

The null hypothesis is typically denoted as H0 and is the default position that we aim to test against. It asserts that any observed differences or relationships are due to chance or random variation.

On the other hand, the alternative hypothesis (option c) states that there is a difference or relationship between the population parameters. The null hypothesis is formulated as the opposite of the alternative hypothesis, assuming no difference or relationship.

Therefore, the correct answer is option b: null hypothesis.

Learn more about statistical hypothesis here:

https://brainly.com/question/29576929

#SPJ11

It is both of the pair of intersecting lines and degenerate hyperbola.

A conic section, conic or quadratic curve is a curve formed by the surface of a cone crossing a plane. The hyperbola, parabola, and ellipse are the three forms of conic sections; the circle is a special case of the ellipse, however it was frequently referred to as a fourth type. Parabolas, ellipses, circles, and hyperbolas are the four main forms of conics. Examine the diagrams below to discover how a conic is defined geometrically. The plane does not travel through the vertex of a non-degenerate conic.

Here,

It consists of a pair of intersecting lines as well as a degenerate hyperbola.

To know more about conic section,

https://brainly.com/question/10053880

#SPJ4

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

Read more about domain at

https://brainly.com/question/31900115

#SPJ1

Answer:

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6

As it's isosceles trapezoid

Now

QR=3(2)+2.5=8.5

RS=9(2)-4.8=13.2

ST=4(2)-2=6

QT=6(2)-1.2=10.8

Answer:

4

Step-by-step explanation:

Requirement 1:

(a) average return for X = 33%, (b) average return for Y = 17%.

Requirement 2:

(a) variance for X = 0.050313, (b) variance for Y = 0.137500.

Requirement 3:

(a) X standard deviation = 22.41%, (b) Y standard deviation  = 37.00%.

Requirement 1:

(a) To calculate the average return for X, we whole up the returns and separate by the number of a long time:

Normal return for X = (113% + 31% + 20% - 21% + 22%) / 5

Normal return for X = 165% / 5

Normal return for X = 33%

(b) To calculate the average return for Y:

Normal return for Y = (23% + 44% - 10% - 24% + 52%) / 5

Normal return for Y = 85% / 5

Normal return for Y = 17%

Requirement 2:

(a) To calculate the variance for X, we have to calculate the deviations from the cruel and square them:

Deviation for each year in X = (Return - Normal return for X)

Squared Deviation for each year in X = \(Deviation^{2}\)

Fluctuation for X = Whole of Squared Deviations / (Number of a long time - 1)

variance for X = \(((113% - 33%)^{2}) + ((31% - 33%)^{2}) + ((20% - 33%)^{2}) + ((-21% - 33%)^{2}) + ((22% - 33%)^{2}) / (5 - 1))\)

Fluctuation for X = 0.050313

(b) To calculate the variance for Y utilizing the same handle:

variance for Y =\(((23% - 17%)^{2}) + ((44% - 17%)^{2}) + ((-10% - 17%)^{2}) + ((-24% - 17%)^{2}) + ((52% - 17%)^{2}) / (5 - 1))\)

Change for Y = 0.137500

Requirement 3:

(a) To calculate the standard deviation for X, we take the square root of the change for X:

The standard deviation for X = √(Variance for X)

Standard deviation for X = √(0.050313)

Standard deviation for X = 0.2241 or 22.41%

(b) To calculate the standard deviation for Y utilizing the same prepare:

The standard deviation for Y = √(Variance for Y)

Standard deviation for Y = √(0.137500)

Standard deviation for Y = 0.3700 or 37.00%

If you don't mind note that the calculations are based on the given returns and adjusting may contrast marginally depending on the strategy utilized.

Learn more about variance here:

https://brainly.com/question/15858152

#SPJ2

Answer:

17 just subtract 5 from 26.25 and divide 21.25 by 1.25 =17

The answer is 17

Step-by-step explanation:

Answer:

32 and a half

Step-by-step explanation:

a=1

Hope this helps

have a great day!

Step-by-step explanation:

Answer:

The mean temperature is O

Step-by-step explanation:

Answer:

20 questions

Step-by-step explanation:

Given

\(Correct \Marks= +5\)

\(Incorrect\ Marks= -2\)

\(Score\ Obtained = 30\)

\(Number\ of\ correct\ answers = 10\)

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

\(Total = +5 * 10\)

\(Total = +50\ marks\)

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

\(Incorrect = Scores\ Obtained - Total\)

\(Incorrect = 30 - (+50)\)

Open bracket

\(Incorrect = 30 - 50\)

\(Incorrect = -20\)

Divide this by -2 to get the number of incorrect answers

\(Incorrect\ Answers = \frac{-20}{-2}\)

\(Incorrect\ Answers = 10\)

Add this to the number of correct answers to give the total number of question answered

\(Total = Correct\ Answers + Incorrect\ Answers\)

\(Total = 10 + 10\)

\(Total = 20\)

Hence, Roy answered a total of 20 questions

Yes, it is possible to find a whole number less than 100 that when divided by 10 has a remainder of 4 and when divided by 47 has a remainder of 17.

To find this number, follow these steps:
Write down the two congruences based on the given information:
  a) x ≡ 4 (mod 10)
  b) x ≡ 17 (mod 47)
Now, solve the congruences to find the smallest positive integer solution for x. In this case, you can use trial and error to find the smallest positive integer that satisfies both congruences. Start by testing the first congruence:
  a) x = 10n + 4, where n is an integer.
Substitute this expression into the second congruence and solve for n:
  b) 10n + 4 ≡ 17 (mod 47)
  c) 10n ≡ 13 (mod 47)
Find the smallest positive integer for n that satisfies this congruence.

In this case, n = 5 is the smallest positive integer,

since 10(5) ≡ 13 (mod 47).
Substitute the value of n back into the expression for x:
  x = 10(5) + 4 = 54
for such more question on whole number

https://brainly.com/question/9879870

#SPJ11

The correct statement is: P(A and B) <= 0.3 * 0.5 = 0.15.

The probability of A and B both occurring is denoted by P(A and B). If A and B are independent events, then the probability of both events occurring is given by the product of their individual probabilities, that is P(A and B) = P(A) * P(B). Therefore, P(A and B) = 0.3 * 0.5 = 0.15.

To understand why this statement is correct, we need to understand the concept of independence and multiplication rule of probability.  When two events are independent, the occurrence of one event does not affect the occurrence of the other. In other words, the probability of one event occurring is not affected by the occurrence of the other event.
The multiplication rule of probability states that if two events A and B are independent, then the probability of both events occurring together is given by the product of their individual probabilities, that is P(A and B) = P(A) * P(B).
In this case, we are given that events A and B are independent, and their individual probabilities are P(A) = 0.3 and P(B) = 0.5. Therefore, we can calculate the probability of both events occurring together as follows:
P(A and B) = P(A) * P(B)
= 0.3 * 0.5
= 0.15
This means that the probability of both events occurring together is less than or equal to 0.15. This statement is correct because the multiplication of probabilities can never result in a probability greater than the smaller of the two individual probabilities.

To know more about probability visit :-

https://brainly.com/question/31828911

#SPJ11

The number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

To calculate the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, we need to determine the length of the circle's circumference at the given latitude.

Given:

Length of the Earth's equator = 25,100 miles

Latitude of Lena, Wisconsin = 45 degrees north

The circumference of a circle at a given latitude on a perfect sphere can be calculated using the formula:

Circumference = (Cos(latitude) * Earth's equator circumference)

First, we need to convert the latitude from degrees to radians:

Latitude in radians = 45 degrees * (π / 180)

Latitude in radians = π/4

Next, we can substitute the latitude in radians into the formula to calculate the circumference:

Circumference = (Cos(π/4) * 25,100 miles)

Using the value of the cosine of π/4 (which is √2 / 2), we have:

Circumference = (√2 / 2) * 25,100 miles

Simplifying:

Circumference ≈ 0.707 * 25,100 miles

Circumference ≈ 17,747.07 miles

Therefore, the number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

Learn more about Circumference here

https://brainly.com/question/17130827

#SPJ4

The different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!.

Suppose, we have n elements and we want to select r elements then the number of ways of selection may be permutation or combination. Permutation and combination depend on the order of elements. If the order of elements is not important then it is combination otherwise it is a permutation.

In this case, we are choosing r = 40 coins and among these coins, exactly 20 coins are quarters but at least 40 of each other kind of coin.

To find out exactly 20 coins of quarters, first we have to find at least 21 coins of quarters.

Because the selection of different 40 coins where at least 40 of each kind of coin. So, if we subtract the selection of at least 21 quarters .

Number of selection at least 21 quarters coins is:

So the P (n k ) = (20+4-1)! / (20!)(23-20)! subtracted from (40+4-1)! / (40!)(43-40)!

Hence the different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!

Learn more about Combination and Permutation at:

https://brainly.com/question/13387529

#SPJ4