27 X 9^3x can be written in the form 3k where k is an expression in terms of x. What is k

Savings = $4000

The ratio of income to expenditure = 6 : 5

Expenditure = $20000

Income = $24000

Savings = Income - Expenditure

Savings = $24000 - $20000

Savings = $4000

Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

Answer:

2(x+7)+3(x+1)

2x+14+3x+3

5x+17

Answer:

Step-by-step explanation

2(x+7)+ 3(x+1)

2x+14+3x+3

5x+17 is the answer

Based on the fan's beliefs about the probabilities of the red team and blue team winning, the fan should expect the red team to win approximately 6 more games than the blue team in a season of 120 games.

According to the fan's beliefs, the probability of the red team winning is 0.45, while the probability of the blue team winning is 0.40. To determine the expected difference in wins between the red team and the blue team, we can calculate the expected number of wins for each team.

For the red team, the expected number of wins is 0.45 multiplied by the total number of games in the season (120 games), which gives us 0.45 * 120 = 54 wins.

Similarly, for the blue team, the expected number of wins is 0.40 multiplied by 120, which gives us 0.40 * 120 = 48 wins.

The difference in expected wins between the red team and the blue team is 54 - 48 = 6 wins. Therefore, the fan should expect the red team to win approximately 6 more games than the blue team in a season of 120 games.

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Answer:

The answer is zero.

Step-by-step explanation:

For the order of operations, division comes before subtraction, so take 8 and divide it by 4, then you have 2-2, which is zero. So your answer to the question should be zero.

Answer:

Step-by-step explanation:

BODMAS:
Brackets.Operation,division,multiplication,addition,subtraction

8/4 first = 2

2-2 = 0

Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

The rule in function notation for the courier company charge on delivery is

C = 15 + 1.6x

Independent variables  are the ones that you include in the model to explain or predict changes in the dependent variable.

The dependent variable is what you want to use the model to explain or predict. The values of this variable depend on other variables. It is the outcome that you’re studying. It’s also known as the response variable, outcome variable, and left-hand variable.

Given in the question,

A courier company charges $15 plus $1.60 per pound to deliver packages

Here , the dependent variable is cost of delivery because it is depending on how much a packages is weighting

The independent variable here is the weight of package because it doesn't depend on anything.

Let the cost of delivery be C and weight of package be x

The function for the charge will be :

C = 15 + 1.6x

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Answer:

80

Step-by-step explanation:

add

Answer:

10

Step-by-step explanation:

40 = 10 × 4

70 = 10 × 7

GCF of 40 and 70 = 10

Answer:

100+10 = 110

110/100=1.1

4000 X 1.1^4 = 5856.4

$5856.40

Answer: $5856.40

100+10 = 110

110/100=1.1

4000 X 1.1^4 = 5856.4

$5856.40

Step-by-step explanation:

110/100=1.1

4000 X 1.1^4 = 5856.4

Answer: $5856.40

Given :

David rented a truck for one day there was a base fee of $17.99 .

Charge per mile driven is, c = 98 cents = $0.98 .

He pay $137.55 at the end of the day.

To Find :

How many miles did he drive the truck.

Solution :

Let, number of miles he drive is n.

So,

\(n = \dfrac{137.55 - 17.99}{0.98}\\\\n = 122\ miles\)

Therefore, number of miles he drive the truck is 122 miles.

Answer:

what the other guy said you can make him brainliest now

Step-by-step explanation:

The correlation coefficient between X and Y will be positive.

The correlation coefficient is a measure of the strength of the linear relationship between two variables. When two variables have a positive linear relationship, as the value of one variable increases, the value of the other variable also increases.

When two variables have a negative linear relationship, as the value of one variable increases, the value of the other variable decreases. In this case, since high scores on X are associated with high scores on Y and low scores on X are associated with low scores on Y, the relationship between X and Y is positive.

The correlation coefficient measures the strength of the linear relationship between two variables. A positive correlation coefficient indicates that there is a positive linear relationship between the two variables, so the correlation coefficient between X and Y will be positive.

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Answer:

x value cannot find cause u shaded it.y=5 and z=12

4/36 = 1/9

==============================================================

Explanation:

Circle the second row. This is where each of the red die results are "2"

Then look at the cases when the second die is less than "5". So we could have a 1, 2, 3, or 4 on this second die.

As you can see, there are 4 cases when the first number is a 2 (red) and the second number is less than 5 (white).

We have m = 4 cases we want out of n = 6*6 = 36 cases total.

m/n = 4/36 = 1/9 is our final answer.

Answer:

hope that helps you out.

Answer:

1.2

Step-by-step explanation:

The statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.

Normally distributed data is the distribution of probability which is symmetric about the mean.

Normally distributed data-

In the provided option, option A talks about the height of sunflower, whereas option C talks about the breath of humans.

Thus, the statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.

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Answer:

C

Step-by-step explanation:

If you draw a straight line through all the corresponding vertices, where the three vertices meet up at is the center of dilation, they all meat up at point C so C is the center of dilation.

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

To divide a decimal by another decimal: Move the decimal point in the divisor to the right until it is a whole number. Move the decimal point in the dividend to the right by the same number of places as the decimal point was moved to make the divisor a whole number. Then divide the new dividend by the new divisor.

Answer:

Step-by-step explanation:

Okay, first multiplying decimals:

If you want to multiply decimals first you have to put the 2 decimals one on top of each other

for example:

  2.27

x 4.89

Then multiply it just like if you were multiplying a regular number without the decimals

  227

x 489

This equals 111,003 now to figure out the answer we can count that there are 4 numbers after the decimal point so you move the decimal point 4 to the left so the answer would be 11.1003

q(x, θ) = x(1) − θ is a pivotal quantity, and its distribution is the same as the distribution of x(1).

A pivotal quantity is a function of the data and the unknown parameters whose distribution does not depend on the unknown parameters. In other words, the distribution of the pivotal quantity remains the same under different values of the parameters.

To show that q(x, θ) = x(1) − θ is a pivotal quantity, we need to show that its distribution does not depend on the unknown parameter θ. To do so, let's consider the distribution of q(x, θ):

P(q(x, θ) ≤ t) = P(x(1) − θ ≤ t)

= P(x(1) ≤ t + θ)

= F(x(1); t + θ)

where F(x(1); t + θ) is the cumulative distribution function of x(1).

Since the distribution of x(1) does not depend on θ, we can see that the distribution of q(x, θ) does not depend on θ either. Therefore, q(x, θ) is a pivotal quantity.

Furthermore, since q(x, θ) is a pivotal quantity, we can find its distribution by looking at the distribution of x(1). Therefore, the distribution of q(x, θ) is the same as the distribution of x(1).

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Therefore, the state government should consider investing in new affordable housing initiatives.

a) To compute the 90% confidence interval, we can use the formula:

CI = p ± z*(√(p(1-p))/n)

where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.

Plugging in the values, we get:

CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)

CI = 0.505 to 0.529 (rounded to three decimal places)

b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.

c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.

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Answer: y=4x+9

Slope = 4

Step-by-step explanation:

y2-y1/x2-x1

Given 3,21 and 4,25

25-21/4-3 = 4/1 = 4

Slope = 4

You can use the point-slope formula to get the following equation in slope-intercept formula.

y-y1 = m(x-x1)

(4,25)

->

y-25=4(x-4)

Distribute

y-25=4x-16

Cancel 25

y=4x+9

Answer: The answer is likely E/i

Step-by-step explanation:

1. Based by guesses here, multiply R on both sides, making it RI = E

2. Then, divide I on both sides, so RI/I = E/I

3. Becoming R = E/I

Answer: C. Rickys rate was 0.25 more per hour" .

Step-by-step explanation:

Susan received $27 for 6 hours of work. Susan's rate we hour will be:

= $27/6

= $4.5

Ricky received $14.25 for 3 hours of work. Ricky's rate will be:

= $14.25/3

= $4.75

From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .

This is because $4.75 - $4.5 = $0.25

To have a valid 98% confidence interval based on a sample of size n, it is necessary to assume that the population has an approximately normal distribution (option A).

The margin of error in a confidence interval is influenced by the sample size and the confidence level. The margin of error is inversely proportional to the square root of the sample size. This means that increasing the sample size (option A) will result in a smaller margin of error, as the square root of a larger number is larger than that of a smaller number.

On the other hand, the margin of error is directly proportional to the critical value, which is determined by the confidence level. The higher the confidence level, the larger the critical value and consequently, the larger the margin of error. Thus, decreasing the confidence level (option D) will result in a larger margin of error.

Therefore, the options that will result in a larger margin of error are B and D: decreasing the sample size while keeping the same confidence level, and decreasing the confidence level while keeping the same sample size.

It's important to note that the validity of a confidence interval relies on certain assumptions. In this case, to have a valid 98% confidence interval based on a sample of size n, it is necessary to assume that the population has an approximately normal distribution (option A). This assumption is required for the central limit theorem to hold, which allows the sampling distribution of the sample mean to approximate a normal distribution. Options B, C, and D do not accurately describe the assumptions necessary for the validity of the confidence interval.

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The equation for a two-wheel differential drive mobile robot is Vleft = Vrobot - (R / 2) * L * cos(θ) and Vright = Vrobot + (R / 2) * L * cos(θ).

A differential drive mobile robot, also known as a two-wheel robot, is a mobile robot that operates using two wheels. The mobile robot moves forward or backward by driving each wheel at a different speed. This type of robot is commonly used in industrial, military, and civilian applications.

To derive an equation for a two-wheel differential drive mobile robot, we first consider the kinematics of a differential drive system.

The kinematics equations for a differential drive robot are as follows

x = (r / 2) * (R + L) * cos(θ)y = (r / 2) * (R + L) * sin(θ)θ = (r / L) * (R - L)

Where:x and y are the position coordinates of the robotθ is the heading of the robot R is the rotational velocity of the robot L is the distance between the wheelsr is the radius of the wheels

Next, we need to determine the velocity of each wheel.

The velocity of the left wheel, Vleft, is equal to the velocity of the robot minus half the rotational velocity of the robot times the distance between the wheels, as follows:Vleft = Vrobot - (R / 2) * L

The velocity of the right wheel, Vright, is equal to the velocity of the robot plus half the rotational velocity of the robot times the distance between the wheels, as follows:

Vright = Vrobot + (R / 2) * L

Finally, we can derive the equation for the two-wheel differential drive mobile robot as follows:

Vleft = Vrobot - (R / 2) * L * cos(θ)

Vright = Vrobot + (R / 2) * L * cos(θ)

Thus, the equation for a two-wheel differential drive mobile robot is Vleft = Vrobot - (R / 2) * L * cos(θ) and Vright = Vrobot + (R / 2) * L * cos(θ).

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The Taylor series for f(x) = sin(x) centered at a = π is given by \(\(f(x) = (x - \pi) - \frac{{(x - \pi)^3}}{{3!}} + \frac{{(x - \pi)^5}}{{5!}} - \frac{{(x - \pi)^7}}{{7!}} + \ldots\)\)

The Taylor series expansion of a function f(x) centered at a point a can be obtained by taking the derivatives of f(x) at a and evaluating them at a.

For the sine function, we can start by evaluating the derivatives of sin(x) at x = π. The derivative of sin(x) is cos(x), and the derivative of cos(x) is -sin(x). Evaluating these derivatives at x = π, we find that sin(π) = 0, cos(π) = -1, and sin(π) = 0 again.

Using these values, we can construct the Taylor series for sin(x) centered at a = π. The general term of the series is given by \(\((-1)^{\frac{n}{2}} \cdot (x - \pi)^n / n!\)\), where n is an even number. This series includes only the even powers of (x - π) since the odd powers evaluate to zero at x = π.

By summing up these terms, we obtain the Taylor series for sin(x) centered at π.

Therefore, the Taylor series for f(x) = sin(x) centered at a = π is given by \(\(f(x) = (x - \pi) - \frac{{(x - \pi)^3}}{{3!}} + \frac{{(x - \pi)^5}}{{5!}} - \frac{{(x - \pi)^7}}{{7!}} + \ldots\)\), where the ellipsis indicates that the series continues indefinitely.

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