a line has a y-intercept of 6 and a slope of 1/2. what is the equation in slope intercept form

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

Answer:

$180

Step-by-step explanation:

150 ÷ 25 = 6

6×3 = 18

18×10 = 180

The total value of the coupons that were given out is $180.

Correct option is (D).

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

3 out of every 25 customers receive a $10 coupon to use on their next visit.

Customers at the restaurant today = 150

For 25 customers = 3 coupons

For (25 × 6 = 150) customers = (3 × 6 = 18) coupons

Total value of the coupons = 18 × 10 = $180

Hence, the total value of the coupons that were given out is $180.

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To reach a 99% confidence level, a lot of effort will be needed. A 1% chance of wrong acceptance is acceptable to the superior because confidence levels and this risk go hand in hand.

Your sample size and variability will determine how precise your statistics are.

Tighter confidence intervals with smaller error margins are produced by greater sample sizes or lower variability. Wider confidence intervals and greater error margins are produced by smaller sample sizes or increased variability.

The interval width depends on the degree of confidence. That interval won't be as narrow if you desire a higher degree of confidence. At 95% or higher confidence, a narrow interval is preferred.

A 99% CI is going to be wider than a 95% CI from the same sample. Given that the wider interval would have a higher possibility of having the genuine population value, this makes sense.

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The indifference curve corresponding to this utility function will be convex to the origin. This is because the utility function exhibits diminishing marginal returns for both goods. As the consumer increases the quantity of one good while keeping the other constant, the marginal utility derived from the additional unit of that good decreases. This diminishing marginal utility leads to convex indifference curves, indicating that the consumer is willing to give up larger quantities of one good for small increases in the other good to maintain the same level of satisfaction.

The assumption of 'more is better' is satisfied for both goods in this utility function because as the consumer increases the quantity of either good x or good y, their utility (U) also increases. The positive coefficients of x and y in the utility function indicate that more of each good is preferred.

The marginal rate of substitution (MRS) measures the rate at which a consumer is willing to exchange one good for another while maintaining the same level of utility. In this utility function, the MRSx,y is equal to 1.

The MRSx,y is diminishing in x as the consumer substitutes x for y along an indifference curve. This means that as the consumer increases the quantity of good x, they are willing to give up fewer units of good y to maintain the same level of satisfaction. The diminishing MRSx,y reflects a decreasing willingness to substitute x for y.

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The equation in slope-intercept form is y = x - 3

The points are drawn on the graph

The line is drawn

The solution area is shaded

The point (0, 0) is a point in the solution area

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

y > x - 3

The above expression is an inequality

In a slope-intercept form, we have

y = x - 3

So, y = x - 3 is the slope-intercept form

We have

x = -1, 0 and 1

So, we have

y = -1 - 3 = -4

y = 0 - 3 = -3

y = 1 - 3 = -2

So, the table of values is

x   -1     0     1

y   -4     -3   -2

From the table, we have the points

(-1, -4), (0, -3) and (1, -2)

The points are on the graph and the line is also drawn

Also, the solution area is shaded

We have

y > x - 3

Set x = 0 and y = 0

So, we have

0 > 0 - 3

Evaluate

0 > -3

This is true

So, (0, 0) is a point in the solution area

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p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is true.

¬p(2, 2) is true.

We are given the predicate p(x, y) and the universe for the variables x and y is {1, 2, 3}. The truth values of p(x, y) are explicitly given for specific values of x and y.

p(1, 2): Since we don't have this specific value given in the provided information, we assume it is false.

p(1, 1): Similarly, since we don't have this specific value given, we assume it is false.

p(3, 3): Again, since we don't have this specific value given, we assume it is false.

p(2, 1) ∨ p(3, 1): We check the truth value of both statements individually and apply the logical OR operation. From the given information, p(2, 1) is true and p(3, 1) is true. So, the overall statement is true.

p(1, 3) ∧ p(2, 3): We check the truth value of both statements individually and apply the logical AND operation. From the given information, p(1, 3) is true and p(2, 3) is false. So, the overall statement is false.

¬p(2, 2): The negation of p(2, 2) is evaluated. Since p(2, 2) is true according to the given information, its negation is false.

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is false.

¬p(2, 2) is false.

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Answer:

El número más pequeño es 3665844.

Step-by-step explanation:

Deje que los números sean X e Y

Por algoritmo euclidiano, tenemos

Por lo tanto tenemos X / Y = 11 + R

Y / R = 9 + S

R / S = 1 + T

S / T = 1 + U

T / U = 2

Dónde:

R, S, T y U son el resto en cada paso

Por lo tanto, 2U = T

Lo que da;

MCD (X, Y) = MCD (Y, R) = MCD (R, S) = MCD (S, T) = MCD (T, U) = 13

T / U = 2

y MCD (T, U) = 13

Por lo tanto, 2 y 13 son factores de T y U si T = 26 y U = 13, tenemos;

S = T (1 + U) = 364

R = S (1 + T) = 9828

Y = R (9 + S) = 3665844

X = Y (11 + R) = 36068239116

Los números son 36068239116 y 3665844

Por lo tanto, el más pequeño de los números = 3665844.

The level of reduction that corresponds to the lowest average cost per pound of pollutant is 0 pounds per day, resulting in an average cost of $4,700 per pound.

To find the level of reduction that corresponds to the lowest average cost per pound of pollutant, we need to calculate the derivative of the cost function C(q) with respect to q and set it equal to zero. Let's proceed with the calculations:

C(q) = 4,700 + 90q^2

To find the derivative of C(q), we differentiate each term with respect to q:

dC/dq = 0 + 180q

Now, set dC/dq equal to zero and solve for q:

180q = 0

q = 0

Since the derivative is linear and only has one root at q = 0, we can conclude that q = 0 corresponds to the lowest average cost per pound of pollutant.

Therefore, the level of reduction that corresponds to the lowest average cost per pound of pollutant is 0 pounds of pollutants per day.

As for the resulting average cost, we can substitute q = 0 into the cost function C(q) to find it:

C(0) = 4,700 + 90(0)^2

C(0) = 4,700 + 0

C(0) = 4,700

The resulting average cost, rounded to the nearest dollar, would be $4,700 per pound.

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When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

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The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

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Answer:

119.2 ft.

Step-by-step explanation:

In order to find the ground distance covered, we must find what the values given are for. 40° is the angle that is θ. 100 ft is the altitude, which is the height. We must find the ground distance covered. So we can find using the tan formula:

tanθ = Opposite side ÷ adjacent side

The opposite side is the height and the adjacent side is the ground distance, which we are going to assume as x. So when all values are substituted:

tan 40° = 100 ÷ x

So,

x = 100 ÷ tan 40°

x = 119.2 ft

Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

The product of the given polynomial is found as  5x³/2 - 9x²/4 + -5x/3 + 3/2.

The given expression is-

=  (1/2x - 1/4) × (5x² - 2x + 6)

= 1/2x (5x² - 2x + 6) - 1/4 (5x² - 2x + 6)

= 5x³/2 - x² + x/3 - 5x²/4 - 2x + 3/2

= 5x³/2 - 9x²/4 + -5x/3 + 3/2

Thus, the product of the given polynomial is found as  5x³/2 - 9x²/4 + -5x/3 + 3/2.

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The correct question is-

What is the product of 1/2x - 1/4 and 5x^2 - 2x + 6? Write your answer in standard form.

Answer:

dark mode da best

Step-by-step explanation:

To find the joint distribution of two random variables x and y, we need more information such as the type of distribution or the relationship between x and y.

Similarly, to find the maximum likelihood estimators of x and y, we need to know the specific probability distribution or model. The method for finding the maximum likelihood estimators varies depending on the distribution or model.

Please provide more details about the distribution or model you are referring to, so that I can assist you further with finding the joint distribution and maximum likelihood estimators.

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The result of f times g is; -30x² + 28x - 6 while it's domain as required is the set of all real numbers.

As evident in the task content;

f(x) = -5x + 3 while g(x) = 6x - 2.

Hence, the result of f times g is; (-5x + 3) (6x - 2).

open parenthesis

f × g = -5x(6x) - 5x(-2) + 3(6x) + 3(-2)

= -30x² + 10x + 18x - 6

f × g = -30x² + 28x -6.

By observation, the function above is a quadratic function and hence, it's domain is the set of all real numbers.

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Answer:

There is no graph

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

100%= 25/25. 1 donut = 5%. So you have 20 donuts left x 5.

Answer:

80% are left.

Step-by-step explanation:

So 100 donuts would be 100%. To get to 100 you need to multiply 25x4. Then you also need to multiply 5x4=20. Since it is the 5 that are eaten, you subtract 20 from 100 and get 80, so you are left with 80% of the donuts.

Answer

6 and 2/3 percent of an hour OR 6.666.... hour

I don’t know if you have to round or not but if it does just round

Step-by-step explanation:

Well 4 minutes of an hour is basically 4/60

4/60=1/15

1/15=x/100

solve the proportion by cross multiplying

100=15x

x=6.66666666

That is yoru percent

(a) The mean is expected to be less than the median. (b) Approximately 1.98% of individuals live between 65.38 years and 83.04 years. (c) The smallest interval guaranteed to capture at least 92% of all life expectancies is approximately 5.43 years.

(a) In a skewed-left distribution, the tail of the distribution is elongated to the left, meaning that there are some low values that pull the mean towards the left side of the distribution. In such cases, the mean is usually less than the median.

This happens because the mean is sensitive to extreme values, and when there are a few very low values, they can significantly affect the mean. On the other hand, the median represents the middle value of the data, so it is less affected by extreme values and is generally a better measure of the central tendency in skewed distributions.

Therefore, in this case, we would expect the mean (74.21 years) to be less than the median.

(b) To find the percentage of individuals living between 65.38 years and 83.04 years, we can calculate the z-scores for these values and use the standard normal distribution table. The z-score is calculated as (x - mean) / standard deviation.

For 65.38 years:

z1 = (65.38 - 74.21) / 3.87 = -2.27

For 83.04 years:

z2 = (83.04 - 74.21) / 3.87 = 2.27

Using the standard normal distribution table or a calculator, we can find the area under the curve between these two z-scores. Since the standard normal distribution is symmetric, the area between -2.27 and 2.27 is the same as the area between -2.27 and -(-2.27), which is 2 * P(z < 2.27).

Using the standard normal distribution table or a calculator, we find that P(z < 2.27) is approximately 0.9884.

Therefore, the percentage of individuals living between 65.38 years and 83.04 years is approximately 2 * 0.9884 = 1.9768, which is approximately 1.98% (rounded to two decimal places).

(c) To find the smallest interval guaranteed to capture at least 92% of all life expectancies, we need to find the z-score corresponding to the cumulative probability of 0.92.

Using the standard normal distribution table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.92 is approximately 1.4051.

We can then calculate the interval using the formula:

Interval = z * standard deviation

Interval = 1.4051 * 3.87 = 5.43 (rounded to two decimal places)

Therefore, the smallest interval guaranteed to capture at least 92% of all life expectancies is approximately 5.43 years.

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Answer:

-3

Step-by-step explanation:

slope = Δy / Δx = -6/2 = -3

Answer:

1 1/5 miles per hour

Step-by-step explanation:

multiply 3/5 and 1/2 and then you would get your answer

Speed = distance/ time

speed = 3/5 ÷ 1/2

speed = 3/5*2

speed = 6/5mph or 1.2 mph

please mark as brainlist

Answer:

-2x^3 - 4x^2 + 9

Step-by-step explanation:

You have to solve the equations in the parenthesis first then you just add the 9 to the end because it doesn't correspond with the rest of the variables "x"

The critical value z a/2 that corresponds to a 97% level of confidence is 1.96, and the critical value z a/2 that corresponds to an 80% level of confidence is 1.28.

In statistical hypothesis testing, the critical value is the point beyond which we reject the null hypothesis. To find the critical values, we need to use the standard normal distribution table or calculator.

For a 97% level of confidence, the significance level (α) is 0.03, and the critical value can be found by dividing α by 2 to get 0.015 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.96.

Similarly, for an 80% level of confidence, the significance level (α) is 0.20, and the critical value can be found by dividing α by 2 to get 0.10 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.28.

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The coordinate of point O after the dilation  (16, 24).

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

We have center of dilation at (4, 6)

Scale factor = 4

after applying the scale the coordinate will be

= 4(4, 6)

= (4 x 4, 6 x 4)

= (16, 24)

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Answer:

the exponent is four

2x2x2x2 is 16

Answer:

He's wrong.

Step-by-step explanation:

30% of 50 is 3/10 * 50 = 15
50% of 30 is 1/2 * 30 = 15
As you can see, 30% of 50 is the same as 50% of 30.

3633 is the difference of these numbers.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations. Assume you had five apples and your friend had three. We may calculate the quantity of remaining apples by subtracting: 5 - 3 = 2.

Given Data

9832 - 6199

Subtracting,

= 9832 - 6199

= 3633

3633 is the difference of these numbers.

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Answer: midpoint is ( 1.5 , 0 )

Step-by-step explanation:

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:s

Step-by-step explanation: