=O GRAPHINGTable for a linear equationFill in the table using this function rule.y=-2x+4X'दХX5?4.M- 202

Answer:

Step-by-step explanation:

4a. yes: 5 = 3(2)-1    5 = 6 - 1      5 = 5

4b.  No: 1 = 3(4) + 1

      1 = 12 + 1

       1 ≠ 13

4c. No; 1 = 3 - 3

            1 ≠ 3

4d. yes; 7 = -3(5) + 22

              7 = -15 + 22

              7 = 7

4e. no; -8 = -2(-4)

             -8 ≠ 8

4f. no; 8 = -2 + 11

           8 ≠ 9

Answer:

13 units

Step-by-step explanation:

(8, -4) and (3,8)

To find the distance of two points, we use the distance formula:

\(d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }\)

Let's plug in what we know.

\(d = \sqrt{(3 -8)^2 + (8 - (-4))^2 }\)

Evaluate the double negative.

\(d = \sqrt{(3 -8)^2 + (8 + 4)^2 }\)

Evaluate the parentheses.

\(d = \sqrt{(-5)^2 + (12)^2 }\)

Evaluate the exponents.

\(d = \sqrt{(25) + (144) }\)

Add.

\(d = \sqrt{(169)}\)

Evaluate the square root.

\(d = 13\)

13 units

Hope this helps!

Answer:

12

Step-by-step explanation:

a⋅(a+b)=  c⋅(c + d)                formula

9⋅(9+x)=  3⋅(3+60)

81+9x=3(63)

81+9x=189

-81       -81

9x=108

x=12

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

The equation of the tangent AB is y = (1/2)x + 3/2. The equation of the normal AC is y = -2x + 4.

To find the equation of the tangent AB and the equation of the normal AC, we'll start by finding the derivative of the curve y = \((6x + 2)^{(1/3).\)

Step 1: Find the derivative of the curve

Let's differentiate y = \((6x + 2)^{(1/3)\) with respect to x using the chain rule:

\(dy/dx = (1/3)(6x + 2)^{(-2/3)} * d(6x + 2)/dx\)

\(dy/dx = (1/3)(6x + 2)^{(-2/3)} * 6\)

Simplifying:

\(dy/dx = 2(6x + 2)^{(-2/3)\)

Step 2: Find the slope of the tangent at point A

To find the slope of the tangent at point A (1, 2), substitute x = 1 into the derivative:

m = dy/dx |(x=1)

\(m = 2(6(1) + 2)^{(-2/3)\)

\(m = 2(8)^{(-2/3)\)

m = \(2/(2^3)^{(2/3)\)

m = \(2/2^2\)

m = 1/2

So, the slope of the tangent at point A is 1/2.

Step 3: Find the equation of the tangent AB

Using the point-slope form of a line, we have:

y - y₁ = m(x - x₁)

Substituting the values x₁ = 1, y₁ = 2, and m = 1/2:

y - 2 = (1/2)(x - 1)

y - 2 = (1/2)x - 1/2

y = (1/2)x + 3/2

Therefore, the equation of the tangent AB is y = (1/2)x + 3/2.

Step 4: Find the slope of the normal at point A

The slope of the normal is the negative reciprocal of the slope of the tangent. So, the slope of the normal is -2.

Step 5: Find the equation of the normal AC

Using the point-slope form of a line and substituting x₁ = 1, y₁ = 2, and m = -2:

y - 2 = -2(x - 1)

y - 2 = -2x + 2

y = -2x + 4

Therefore, the equation of the normal AC is y = -2x + 4.

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Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Answer:

They would know a and b.

a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

a. The value of the mean of the sampling distribution of the sample mean.

The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. The approximate shape of the sampling distribution of the sample mean.

Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. The standard deviation of the sampling distribution of the sample mean.

To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

Answer:

a

Step-by-step explanation:

Comparing the three in their simplest form we have the smallest ratio as 3 to 4.

A mathematical phrase that compares two values is called a ratio. It is written as the product of the division of two different quantities. As in 2:1 or 2/1, ratios are frequently expressed as a fraction or with a colon.

Mathematicians employ ratios in many different contexts, such as arithmetic, algebra, and geometry. They are used to compare amounts, identify equivalent values, and resolve proportional and rate-of-change issues.

Convert the ratios in their simplest form:

3 to 4 can be simplified by dividing both terms by their greatest common factor, which is 1. Therefore, 3 to 4 is already in its simplest form.

10 to 12 can be simplified by dividing both terms by their greatest common factor, which is 2. So, 10 to 12 simplifies to 5 to 6.

2 to 1 is already in its simplest form.

Thus, comparing the three we have the smallest ratio as 3 to 4.

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Answer: -1/2

Step-by-step explanation: To solve this problem, we can use the properties of logarithms to isolate the variable x on one side of the equation. The properties of logarithms tell us that the logarithm of a product is the sum of the logarithms of the factors, and that the logarithm of a power is the exponent times the logarithm of the base.

If log₂(4x + 6) = 4, we can rewrite the left side of the equation as follows: log₂(4x + 6) = log₂(2^4 * (2x + 3))

Then, using the property of logarithms that the logarithm of a product is the sum of the logarithms of the factors, we can simplify the equation as follows: log₂(4x + 6) = 4 + log₂(2x + 3)

Now, we can use the property of logarithms that the logarithm of a power is the exponent times the logarithm of the base to simplify the equation even further: log₂(4x + 6) = 4 + 1 * log₂(2x + 3)

Since the logarithm of a power is the exponent times the logarithm of the base, this means that the logarithm of a number is the logarithm of that number divided by the logarithm of the base. Therefore, we can divide both sides of the equation by log₂ to isolate the variable x on one side of the equation:

log₂(4x + 6) / log₂ = 4 + 1 * log₂(2x + 3) / log₂

(4x + 6) / 1 = 4 + (2x + 3) / 1

4x + 6 = 4 + 2x + 3

4x + 6 = 2x + 7

2x = -1

x = -1/2

Therefore, if log₂(4x + 6) = 4, then x = -1/2.

Answer:

You just move the decimal so 2

Step-by-step explanation:

1. Replace f(x) with y .

2. Replace every x with a y and replace every y with an x:

3. Solve for y:

4. Replace y with f−1(x)

Answer:

Replacing the value or x = -3in 7 - 2x, we get,

7 - 2 x (-3)

= 7 + 6

= 13

Answer:

13 is the value of 7 - 2x when x = -3

Step-by-step explanation:

7 -(2×-3)

7 - (-6)

7+6

13

a. The missing value in the table 0.03

b. The mean is 4.18

c. The variance is 3.23 and standard deviation is 1.80

d.  The larger the standard deviation, the greater the spread of the probability distribution.

A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.

a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.

b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:

E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)

E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18

So, the mean number of calls per hour to the call center in the last month is 4.18.

c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:

Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)

Var(X) = 3.23

The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:

=> SD(X) = √(Var(X)) = √(3.23) = 1.80

d. Interpretation:

The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.

The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.

This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).

Complete Question:

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.

x 1 2 4 5 6 7

P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03

a. What is the missing value in the table?

b. Find the mean.

c. Find the variance and standard deviation.

d. Interpret your results.

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Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

Combining like terms you have 500x - 200x = 300x

Answer: 300x

Answer:

300x = 300000

Step-by-step explanation:

500x - 200x = 300x

300x + 300,000 = 600,000

600000 - 300000 = 300000

300x = 300000

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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To be able to divide the two fractions as given,

The inequality that describes the problem is C. 8x ≤ 16

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:

8x ≤ 16

The correct option is C.

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Answer: 7.5 each

Step-by-step explanation:

15/2

Answer:

y=10x+3

Step-by-step explanation:

you can't solve this because there is only one equation, so i guess you want it in slop-intercept form

Answer:

you are correct, they are supplementary

Step-by-step explanation:

Answer:

Yes! You are correct! The angles added together produce 180degrees, therefore, is supplementary. Just like the fellow above me said :)

Step-by-step explanation:

According to the given question we can conclude that the probability that a student who majors in science is a female is approximately 0.375 and the probability that a student is male or majors in art is 0.78.

Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.

A.) To find the probability that a student who majors in science is a female, we need to use Bayes' theorem. Let F be the event that a randomly selected student is female, and S be the event that the student majors in science. Then we have:

P(F|S) = P(S|F) * P(F) / P(S)

We know that P(F) = 0.6 (since 60% of students are female), and P(S|F) = 0.1 (since 10% of female students major in science). To find P(S), we need to use the law of total probability:

P(S) = P(S|F) * P(F) + P(S|M) * P(M)

We know that P(S|M) = 0.4 (since 40% of male students major in science), and P(M) = 0.4 (since 40% of students are male). Therefore:

P(S) = 0.1 * 0.6 + 0.4 * 0.4 = 0.16

Now we can calculate P(F|S):

P(F|S) = 0.1 * 0.6 / 0.16 ≈ 0.375

Therefore, the probability that a student who majors in science is a female is approximately 0.375.

B.) To find the probability that a student is male or majors in art, we need to use the law of total probability again:

P(Male or Art) = P(Male) + P(Art) - P(Male and Art)

We know that P(Male) = 0.4 (since 40% of students are male), and P(Art|Male) = 0.5 (since 50% of male students major in art). We also know that P(Female) = 0.6 (since 60% of students are female), and P(Art|Female) = 0.7 (since 70% of female students major in art). Therefore:

P(Art) = P(Art|Male) * P(Male) + P(Art|Female) * P(Female)

= 0.5*0.4+0.7*0.6

= 0.58

To find P(Male and Art), we can multiply the probabilities of being male and majoring in art:

P(Male and Art) = P(Male) * P(Art|Male)

= 0.4 * 0.5

= 0.2

Now we can calculate P(Male or Art):

P(Male or Art) = 0.4 + 0.58 - 0.2

= 0.78

Therefore, the probability that a student is male or majors in art is 0.78.

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Answer:

The answer is x/12>10 and Turner made more than 120 fluid oz of apple cider

Step-by-step explanation:

They each mug had more than 10 not 10 so it is x/12 > 10 then to remove the 12 multiply 12 on both sides so you you get x>120 so Turner made more than 120 fluid oz of apple cider.

Answer: m = -1/2

Use (y2-y1)/(x2-x1) to find the slope.

The radius of the cylinder is 7. 9 in

First, we need to know the formula for volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters of the formula are expressed as;

From the information given, we have that;

Substitute the values

196 = 3.14 × 1 × r²

Divide both sides by the values

r² = 62. 42

Find the square root of both sides

r = 7. 9 in

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Answer:

Its B and its not that hard because im doing that rn lol but do you need me to explain?

Step-by-step explanation:

Since f(x) represents the amount of money in a bank account after x weeks and we want to know the money after 7 weeks we need to plug x=7 in the function, that is we need to write f(7).

The price elasticity of demand for cheeseburgers equals 0.37. This means the overall demand for cheeseburgers is price inelasticity.

What is inelastic demand?

An economic concept known as "inelasticity" describes an item or service's unchanging quantity while its price varies. When prices rise, consumers' purchasing patterns essentially stay the same, and when prices fall, those same purchasing patterns still hold true. This is known as inelastic demand.

If the price elasticity of demand for cheeseburgers is 0.37, it means that the demand for cheeseburgers is relatively inelastic.

In particular, the demand for cheeseburgers will decrease by 0.37% for every 1% increase in the price of cheeseburgers.

This means that consumers are not very responsive to changes in the price of cheeseburgers, and will still continue to purchase cheeseburgers even if the price goes up by a small amount.

Therefore, if the price of cheeseburgers increases, the overall demand for cheeseburgers will decrease, but only by a relatively small percentage.

Conversely, if the price of cheeseburgers decreases, the overall demand for cheeseburgers will increase, but again only by a relatively small percentage.

Therefore, the situation represents inelastic demand.

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