How many times greater is the value of 3 in 300 than the value of the 3 in 30

Answer:

x = \(\frac{23}{a}\)

Step-by-step explanation:

Given equation is,

ax + 3 = 23

To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.

Step 1,

Subtract 3 from both the sides of the equation.

ax + 3 - 3 = 23 - 3

ax = 20

Step 2,

Divide the equation by a,

\(\frac{ax}{a}=\frac{23}{a}\)

x = \(\frac{23}{a}\)

Therefore, x = \(\frac{23}{a}\) will be the answer.

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

The total area of all four walls of a square room can be determined by calculating the perimeter of the room and multiplying it by the height.

A square room has all four sides equal in length. Given that the floor area of the room is 16 square meters, we can find the length of each side by taking the square root of the area. In this case, the side length is √16 = 4 meters. The perimeter of the room, which is the total length of all four sides, is 4 meters + 4 meters + 4 meters + 4 meters = 16 meters. To find the total area of all four walls, we multiply the perimeter by the height of the room. In this case, the total area is 16 meters × 5 meters = 80 square meters.

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Answer:

36

Step-by-step explanation:

4 x 4 = 16

2 x 10 = 20

You would have to separate the square and the rectangle.

The way you do this is by cut of the number and subtracting them, like 6 and 2 to get the square.

Answer:

Step-by-step explanation:

d =sqrt [(x-x)^2+(y-y)^2]

d = sqrt[(4-4)^2+(6 - - 2)^2]

d =sqrt[ (0)+(8)^2]

d = sqrt 64

d = 8

Answer:

21

Step-by-step explanation:

tee hee

Answer:

if you are talking about distance on cars i have provided you with a chart of      different cars prices and the distance they went/ Vehicle Miles per gallon Gas price, per mile

Subaru Outback 21 $0.14

Chrysler Sebring 21 $0.14

Porsche Boxster 22 $0.13

 PT Cruiser   22  |$0.13

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The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).

Sample size, n=400

Sample proportion, p = 40 / 400

= 0.1

We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

= 0.015

For constructing Confidence interval,

Margin of Error (ME) =  z x SD = 0.0294

95% confidence interval is given by Sample Mean +/- (Margin of Error)

0.1 +/- 0.0294 = (0.0706 , 0.1294)

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Answer:

168 unlimited-ride passes.

Step-by-step explanation:

50x+20y=10680

x+y=282

Multiply.

20(x+y=282)

20x+20y=5640

Subtract.

50x-20x+20y-20y=10680-5640.

30x=5040

x=168

Hope this helps plz hit the crown :D

It's C, I took the test and got it right.

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

This double integral evaluates to a value of 2/3 x

What is double integral?

Double integral is a type of integration which involves the integration of two variables. It is used to calculate the area or volume of a function of two variables. This type of integration is used to solve problems in areas such as physics, engineering, probability and statistics. Double integration can be used to calculate the center of mass of a two-dimensional object, or the moments of inertia of a two-dimensional object. In its most basic form, this type of integration involves the calculation of a limit where two variables are integrated with respect to each other.

To evaluate the double integral, one must use the formula for the area of a two-dimensional region: ∫∫f(x, y)dA = ∫∫f(x, y)dxdy. The limits of integration of the region D must also be taken into account. Thus, the double integral can be evaluated as follows:

∫∫(x^2-1)dA = ∫ 0 to 1

∫ 0 to x (x^2-1)dx dy = 2/3 x

This double integral evaluates to a value of 2/3 x

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'I hope my answer helps you'

Question: y = 3cos[6(x-4)] - 5

Answer: 3

Step-by-step explanation:

The reason for this is in order to find amplitude, it's always the number before "cos" or "sin". Also, the "[6(x-4)]" was just a distraction to throw you off

Here's a trick to find everything; amplitude, period, phase sift, etc.:

      y = A sin(B(x + C)) + D

* amplitude is A

* period is 2π/B

* phase shift is C (positive is to the left)

* vertical shift is D

Answer:

no it would be more

Step-by-step explanation:

3+3=6 so not 17 at all

Answer:

x > 17/2 - 3

Step-by-step explanation:

17 < 2(x+3)

17/2 < x+3

17/2 - 3 < x

The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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Answer:

  2 inches

Step-by-step explanation:

We can find the border width by writing an equation for the perimeter of the framed picture. The frame adds 2x to each picture dimension, so the perimeter of the painting and frame is ...

  P = 2(L +W)

  78 = 2((18 +2x) +(13 +2x)) . . . . use the known dimensions for length, width

  39 = 31 +4x . . . . . divide by 2 and simplify

  8 = 4x . . . . . . . . subtract 31

  2 = x . . . . . . . divide by 4

The width of the frame is 2 inches.

Answer:

3 i think

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3. Because If You Divide 15 People by 5 Players It Equals Up To 3 Team's of people

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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The ratio of protonated/deprotonated acetic acid at the given pH is:

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

Opposite interior angles of a rhombus are congruent (the same). All 4 of them equal up to 360

Option 2 with monthly payments of $127.00 for 2 years allows Ms. Carlton to pay the smallest amount of interest, which is $548.00.

To determine which repayment option allows Ms. Carlton to pay the smallest amount of interest, we need to calculate the total amount of interest paid for each option.

Let's start with the option 1,

Option 1: Monthly payments of $95.00 for 3 years

First, we calculate the total amount paid over the course of three years:

Total amount paid = $95.00/month x 12 months/year x 3 years = $3,420.00

The amount borrowed was $2,500.00, so the total amount of interest paid is:

Total interest paid = $3,420.00 - $2,500.00 = $920.00

Let's go for option 2 and check for interest.

Option 2: Monthly payments of $127.00 for 2 years

Similarly, we calculate the total amount paid over the course of two years:

Total amount paid = $127.00/month x 12 months/year x 2 years = $3,048.00

The amount borrowed was $2,500.00, so the total amount of interest paid is:

Total interest paid = $3,048.00 - $2,500.00 = $548.00

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The possible outcomes should have a head in its third and fifth tosses is 219, according to the question.

What do you mean by probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

According to the given question,

We can toss it 8 times,

Exactly three heads (hence, exactly 5 tails), no fewer, no more. So there are eight coins, and we need to compute how many ways we can choose three to be heads:

(83)=8!/3!5!=56

At least three heads (hence, at most 5 tails): here we count sequences with exactly 3 heads, and also count sequences with more than three heads. What doesn't count are those sequences containing (zero heads, exactly one head, or exactly two heads). We could compute this as

(83)+(84)+⋯+(88)

But it would be far easier to compute its equivalent, by subtracting from 256 the number of sequences with no head, only one head, and only 2 heads:

256−((8/0)+(8/1)+(8/2))=256−(1+8+28)=219

Therefore, the possible outcomes should have a head in its third and fifth tosses is 219.

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Answer:

M1=136

m4=180-136

=44////

Answer:

We divided the figure in picture into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = area of triangle + area of 2 rectangles

   =  base x height/2 + length1 x width1 + length2 x width2

   = 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13

   = 211.5

Hope this helps!

:)

In the given triangle, the value of x = 5.

What is a triangle's definition?

A triangle is a geometrical shape that is defined as a polygon with three sides and three angles. It is a closed figure with three line segments as its sides, and these sides intersect at three points, which are called vertices. When we add all the angles of a triangle then the result will always be 180°.

Now,

As we know the property of a triangle that

sum of all angles of triangle=180°

given angles are (9x-1)°, 74° and 62°

then,

        9x-1+74+62=180°

9x+135=180

9x=45

x=5

Hence,

           the value of x is 5.

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The  equation represents the length of the tail if the length of the kite is k should be considered as the 2k + 1.5.

Since

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long.

So here we assume the length be k

So here the equation be 2k + 1.5

Hence, the option d is correct.

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The value of z is z ≤  - 6.5

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

26 ≤ −8z − 26.

adding 8z on both the sides, we get

26+8z  ≤  -26

8z  ≤ -26 -26

8z  ≤ -52

z ≤ -52 /8

 z ≤  - 6.5

So, the value of z is z ≤  - 6.5

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Answer:

\( \sf \: b) \: z \leqslant - 6.5\)

Step-by-step explanation:

Given inequation,

→ 26 ≤ -8z - 26

Now the value of z will be,

→ 26 ≤ -8z - 26

→ 8z + 26 ≤ -26

→ 8z ≤ -26 - 26

→ z ≤ -52/8

→ z ≤ -13/2

→ [ z ≤ -6.5 ]

Hence, option (b) is correct.

To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.

Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:

Calculate the mean (μ) of the sample:

μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16

Calculate the standard deviation (σ) of the sample:

Step 1: Calculate the squared deviations from the mean for each observation:

(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²

0, 25, 9, 36, 1, 9

Step 2: Calculate the variance:

Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33

Step 3: Calculate the standard deviation:

σ = √(Variance) = √13.33 ≈ 3.65

Calculate the z-score for each observation:

z = (x - μ) / σ

For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0

For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.

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We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Water makes up roughly 60% of your total body weight. This means that if you weigh 150 pounds, about 90 pounds of that is water.

Water is essential for the functioning of our bodies. It plays a vital role in maintaining temperature, transporting nutrients and oxygen, and removing waste products. The percentage of water in the human body varies depending on factors such as age, sex, and body composition. On average, water makes up about 60% of an adult's total body weight. This percentage can be higher in infants and lower in elderly individuals.

For example, a person weighing 150 pounds would have approximately 90 pounds of water in their body. It's important to stay hydrated by drinking enough water to replenish the water that our bodies constantly lose through processes like sweating, urination, and breathing.

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If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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