on Monday the price of gas decrease 6 cent on Tuesday in increased 9 cent what was the overall decrease or increase of the price of gas by the of the day on Tuesday

Responder:

Tienda de la ciudad

Explicación paso a paso:

Para obtener el precio unitario por caja:

Importe pagado / número de cajas.

Para cajas de 3 colores:

$ 258/2 = $ 129

Para las cajas de color /:

$ 440/5 = $ 88

$ 88 <$ 129

Por lo tanto, las cajas de colores son más baratas en la tienda de la ciudad.

Answer:

he got 210 dollars in interest

Step-by-step explanation:

The mean and standard deviation of the vehicle speed are 58.33 and 11.64 respectively.

The vehicle speed on a particular bridge in china has normal distribution.

5% represents the 5th percentile which is here, 39.18 m/h.

Since 10% travels more than 73.27 m/h, 90% travels less than 73.27 m/h.

So here the 90th percentile is 73.27 m/h.

Also the z-score, z = (x-μ)/σ, where μ is the mean of normal distribution and σ, the standard deviation.

So 39.18 corresponds to the z with p-value 0.05, i.e., z = -1.645 [from the normal tables]

Hence, z = (x-μ)/σ

⇒ -1.645 = (39.18 - μ)/σ

⇒ -1.645σ = 39.18 - μ

⇒ μ = 39.18 + 1.645σ  ----------(1)

Also 73.27 corresponds  to the z with p-value 0.9,i.e., z = 1.28.

Hence , z = (x-μ)/σ

⇒ 1.28 = (73.27 - μ)/σ

⇒ 1.28σ = 73.27 - μ

⇒ μ = 73.27 - 1.28σ  ----------(2)

Equating (1) and (2), we get,

39.18 + 1.645σ  =  73.27 - 1.28σ

2.925σ = 34.05

σ = 11.64

hence μ = 39.18 +1.645 x 11.64

⇒ μ = 58.33

Learn more about normal distribution at https://brainly.com/question/4079902

#SPJ4

The time required for the deposit to double at 3.1% interest rate is 22.4 years.

The formula for calculating compound interest can expressed as;

A = Pe^( rt )

Where A is the accrued amount, P is principal, r is interest and t is time.

Given the data in the question;

Let the deposit be represented by x

Since the deposit doubled

Plug the values into the above compound interest formula and solve for time t.  

A = Pe^( rt )

t = ( In( A / p ) ) / r

t = ( In( 2x / x ) ) / 3.1%

t = ( In( 2 ) ) / 0.031

t = ( In( 2 ) ) / 0.031

t = 22.3595

t = 22.4 years.

Therefore, the time needed is 22.4 years.

Option C is the correct answer.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Answer:

B. 4

Step-by-step explanation:

\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)

49 × 7x = 343x

14√7 = √(1372)

1372 ÷ 343 = 4 this is the vaule of x.

x=167⁰ (alternate or z angles)

Answer:

\((5t+3), (t+3), (t-3)\)

Step-by-step explanation:

Reorder terms.

\(5t^3+3t^2-45t-27\)

Factor out the greatest common factor from each group

\(t^2(5t+3)-9(5t+3)\)

Factor the polynomial by factoring out the greatest common factor, \(5t +3\)

\((5t+3)(t^2-9)\)

Factor.

\((5t+3), (t+3), (t-3)\)

hope this helps :)

Answer:

a

Step-by-step explanation:

Cindy's average tax rate is approximately 13.59%.

To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.

Average tax rate = (Total tax paid / Taxable income) * 100

In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.

Average tax rate = (8,902 / 65,500) * 100

Average tax rate ≈ 13.59%

Therefore, Cindy's average tax rate is approximately 13.59%.

To study more about Average Tax Rate:

https://brainly.com/question/28962879

Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.

How to find the average tax rate?

The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.

Average Tax Rate = Total Tax Paid / Taxable Income Cindy's

The average tax rate can be found as follows:

Average tax rate = (Total tax paid ÷ Taxable income) × 100%

Average tax rate = ($8,902 ÷ $65,500) × 100%

Average tax rate = 0.135994 × 100% ≈ 13.60%

Therefore, Cindy's average tax rate is 13.60%.

To learn more about the average tax rate visit:

https://brainly.com/question/32228027

#SPJ11

Answer:

e

Step-by-step explanation:

Answer:

can u explain more and if not i thnk it is 20:15

Step-by-step explanation:

Answer:

number of boys in the class = 20

number of girls in the class = 15

ratio of girls is to boys(Percentage) = 15/20 x 100

= 0.75 x 100 = 75%

Step-by-step explanation:

Answer:

26 miles

you welcomeeeeee

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

Know more about area here:

https://brainly.com/question/15122151

#SPJ11

Answer:

14 deliveries per hour

Step-by-step explanation:

42/3

14

The person makes 14 deliveries per hour

Answer:

14

Step-by-step explanation:

42 / 3 = 14

Answer:

Hello,

Step-by-step explanation:

h(x) has a minimum at x=  2. (h(x) is turning down at x=2)

I have suppose that h''(2 + ) <0 and h''(2 -) <0

If the severity of Type I error is high, meaning that it would be very costly or harmful to falsely reject the null hypothesis, then a more stringent alpha level would be appropriate. In this case, option b, 0.001, would be the most appropriate significance level as it would minimize the chance of a Type I error occurring.

An appropriate significance level (alpha level) for a hypothesis test where the severity of Type I error is high would be a lower alpha value. This is because a lower alpha level reduces the likelihood of committing a Type I error (incorrectly rejecting the null hypothesis).

In this case, the appropriate significance level among the given options is:

b) 0.001

A lower alpha level like 0.001 indicates that there is a smaller chance of committing a Type I error, making it more suitable when the severity of Type I error is high.

Learn more about alpha level here: brainly.com/question/15604738

#SPJ11

Answer:

(-1, -5)

(0, -2)

(-3, -11)

Step-by-step explanation:

y = 3x - 2.

→ 3×(-2)-2=-8 ≠0 ⇒(-2, 0) doesn’t correspond to input-output pairs for the function

→ 3×(-1)-2=-5 ⇒(-1, -5) corresponds to input-output pairs for the function

→ 3×(0)-2=-2 ⇒(0, -2) corresponds to input-output pairs for the function

→ 3×(2)-2=4≠3 ⇒(2, 3) doesn’t correspond to input-output pairs for the function

→ 3×(-3)-2=-11 ⇒(-3, -11) corresponds to input-output pairs for the function

Answer:

8x+2y+2

Step-by-step explanation:

First, write it out as it's given:

3y+2+3x-y+5x

Then, combine the x-terms first:

3y+2-y+8x

Next, combine the y-terms:

2+2y+8x

Music that has melodies created based on the roll of dice or a random set of numbers is called Aleatoric music .

Aleatoric music  can bed defined as the type of music in which the musician or music artist makes some random selection or probability when creating a music.

Music melodies depend on the roll on dice which means that the composer tend to create or compose a music melody by simply rolling a dice.

Therefore Music that has melodies created based on the roll of dice or a random set of numbers is called Aleatoric music .

Learn more about Aleatoric music here:https://brainly.com/question/7184603

https://brainly.com/question/11049079

#SPJ1

The citation you provided refers to a research paper titled "The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables" authored by C. J. Maddison, A. Mnih, and Y. Whye Teh.

The paper was published as part of the ArXiv e-prints in November 2016.It explores a mathematical concept known as the concrete distribution, which is a technique for approximating discrete random variables with continuous distributions. The authors propose a method that allows for smooth and gradient-based optimization of models that involve discrete random variables, which can be challenging using traditional approaches.

The research paper likely delves into the theoretical foundations of the concrete distribution, its properties, and its application in various domains. It could discuss how this concept enables more efficient and effective modeling and inference for problems involving discrete random variables, which are commonly encountered in areas such as machine learning, statistical modeling, and optimization.

To gain a comprehensive understanding of the contents and findings of this research paper, it would be necessary to review the full document.

To learn more about Relaxation

https://brainly.com/question/33654012

#SPJ11

Step-by-step explanation:

there are many people that find geometry easier, because here you can actually "touch" something and "see" what we are doing and dealing with.

anyway,

let's just remember what a parallelogram is and represents :

it has 2 pairs of parallel sides (the sides in each pair are parallel to each other). hence the name.

in order for that to be possible the sides in every pair must be equally long. in our case here : FG = EH, FE = GH.

the diagonals cross each other at their midpoints.

and then we see in the graphic how the diagonals split the the whole parallelogram into 4 triangles.

so, now we have all tools to solve the puzzles.

we know, I is the midpoint of both diagonals. and therefore, EI = IG, FI = IH

and that means

3x - 1 = 8

3x = 9

x = 3

the triangles FIG and EIH are congruent. that means, if you turn them to be oriented in the same direction and then place them on top of each other, they would cover each other perfectly.

and that means that they have the same angles and side lengths.

therefore, when we know things about one of these triangles, we know the same things about the other triangle. like the angles.

so, the angle IHE = IFG = 31°

the angle IEH = IGF = 46°

why do we know the 2 triangles are congruent ?

because the 3 sides of FIG are exactly as long as the 3 sides in EIH :

FG = EH

IG = EI

FI = IH

and that satisfies the SSS criteria (side-side-side) for congruent triangles.

and again, therefore, the angles must be the same too.

The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

Learn more about capability here

https://brainly.com/question/31154332

#SPJ11

The bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

To find the correlation between the bacterial count after 24 hours and 48 hours, we would need the actual numerical values of the bacterial counts for each strain. Without that information, we cannot calculate the correlation coefficient. However, it is important to note that a positive correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours also increases. A negative correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

The complete question is-

Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. Here are the resulting bacterial counts for each condition:

24 hr: 66, 71, 93, 102, 62

48hr: 110,123,146,136,113

If we had plotted bacterial count at 35 degrees Celsius on the y-axis instead of the x-axis, the value of the correlation coefficient would be

learn more  about correlation coefficient

https://brainly.com/question/15577278

#SPJ11

Answer: The volume is 10 cm^3

Step-by-step explanation:

We know that each cube is a centimeter cube.

This means that if L is the length of each side of one of these cubes, then L = 1cm

And we know that the volume of a cube of side length L is:

V =L^3

Then the volume of each of the small cubes is:

V = (1 cm)^3 = 1 cm^3

Now we just need to count the number of cubes in the prism.

We can see that there is a "T" shape.

in the front part, we can see 5 cubes.

And there is another part in the back, where we also can assume that there are 5 cubes.

Then the total number of cubes in the prism is 10

And each of these cubes is 1 cm^3

Then the volume of the prism is 10 times 1 cm^3

The volume of the prism is:

V = 10*(1 cm^3) = 10 cm^3

To determine if the degree of the function is odd or even we need to look at the extrema of the graph. If both points to the same side, it is, if X goes to positive infinity or to negative infinity, to both direction Y of the graph is going to the same direction, it means that the degree os even. Otherwise, when the extrema are pointing in different directions, it means the degree is odd.

In the present graph, the degree is odd, because the graph has different directions for each extrema.

To determine the signal to the leading coeficient, we check the direction Y is going to increasing values of X. If Y goes positive, the leading coeficient is positive, if it is negative, the leading coeficiente is negative.

In the present graph, the leading coeficient is positive, because for increasing values of X we have increasi

The graph of the system of inequalities is on the image at the end.

Here we need to graph the two linear inequalities:

4x + 2y ≤ 16

x + y ≥ 4

On the same coordinate axis.

To do so, we can write both of these as lines:

y  ≥ 4 - x

y ≤ (16 - 4x)/2

y ≤ 8 - 2x

Then the system is:

y  ≥ 4 - x

y ≤ 8 - 2x

Now just graph the two lines with solid lines (because of the symbols used) and shadew the region above the first line and the region below the second line.

Learn more about systems of inequalities:

https://brainly.com/question/9774970

#SPJ1

Answer:

c,e

Step-by-step explanation:

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

Learn more about the midpoint theorem here:

brainly.com/question/13677972

#SPJ1

Answer:

-5.3 meters

The dolphin's friend is 5.3 meters below the water surface

Step-by-step explanation:

Complete question below:

A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54 meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?

Solution

The dolphin jumps to a height of 4.5 meters above the surface of the water

Her friend swims directly 9.8 meters below her

The position of the dolphin's friend relative to the surface of the water= dolphins position above the surface of the water - her friend's position below her

=4.5 meters - 9.8 meters

= -5.3 meters

-5.3 meters means below the water surfaces

This means, the dolphin's friend is 5.3 meters below the water surface

As W is spanned by n linearly independent vectors in ℝ^n, it means that the dimension of W is also n. This implies that W has the same dimension as ℝ^n, and therefore, W is equal to ℝ^n.

If w is a subspace of rnspanned by n non zero orthogonal vectors, then w is at most n-dimensional because there are only n vectors that can be used to span w. Any vector outside of the span of these n vectors will not be in w. Therefore, the dimension of w is less than or equal to n. Since w is a subspace of rn, which is n-dimensional, w must be a subset of Rn with a dimension less than or equal to n. Therefore, w d Rn. Suppose W is a subspace of ℝ^n spanned by n nonzero orthogonal vectors. This means that W is a vector space that is a subset of ℝ^n, and it can be generated by taking linear combinations of the n nonzero orthogonal vectors. Since the vectors are orthogonal, they are linearly independent, and their linear combinations form a basis for the subspace W.

learn more about non zero orthogonal vectors here: brainly.com/question/14351221

#SPJ11