Slope is the s______ of a line
Help pls ASAP
It’s not start of a line

Answer:

\(92.9\%\)

Step-by-step explanation:

Initial amount of birdseed = 10.5 pounds

Final amount of birdseed = 12 ounces

\(1\ \text{ounce}=\dfrac{1}{16}\ \text{pounds}\)

\(12\ \text{ounces}=\dfrac{12}{16}=0.75\ \text{pounds}\)

Percentage change in the amount of birdseed is

\(\dfrac{\text{Initial-Final}}{\text{Initial}}\times 100\%=\dfrac{10.5-0.75}{10.5}\times 100\%\\ =92.9\%\)

The percentage of birdseed that changed is \(92.9\%\)

The equation for the line is:

3y - x = 14

Given the line:

x - 3y = 7

This line can be written as:

y = (1/3)x - 7/3

The slope is 1/3

The y-intercept is -7/3

A line parallel to this has the same slope but different y-intercept, written as:

y = (1/3)x + b

Using the given point (-2, 4), with x = -2 and y = 4, we can obtain the value of b

4 = (1/3)(-2) + b

b = 4 + 2/3

= 14/3

Therefore, the line is:

y = (1/3)x + (14/3)

or

3y - x = 14

The proportion of cases of disease X that are due to smoking among those who smoke is approximately 41%.

To determine the proportion of cases of disease X that are due to smoking among those who smoke, we can use the population attributable risk formula:

Population attributable risk (PAR)

= incidence in exposed (smokers) - incidence in unexposed (nonsmokers)

PAR = (56/1000) - (33/1000)

= 23/1000

The proportion of cases of disease X that are due to smoking among those who smoke can be calculated as:

Proportion of cases due to smoking = PAR / incidence in exposed (smokers)

Proportion of cases due to smoking

= (23/1000) / (56/1000)

= 23/56

≈ 0.41

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To determine the proportion of cases of disease X that are due to smoking among those who smoke, we can use the formula for attributable risk percent (ARP). ARP is calculated by subtracting the incidence rate among the unexposed group (nonsmokers) from the incidence rate among the exposed group (smokers), dividing that difference by the incidence rate among the exposed group, and then multiplying by 100.

In this case, the ARP for smokers would be: ((56/1,000) - (33/1,000)) / (56/1,000) * 100 = 41%

Therefore, 41% of cases of disease X among smokers can be attributed to smoking. This means that if all smokers were to quit smoking, 41% of disease X cases among them could potentially be prevented.
To calculate the proportion of cases of disease X due to smoking among those who smoke, we can use the formula for attributable risk (AR):

AR = (Incidence in smokers - Incidence in nonsmokers) / Incidence in smokers

First, identify the given data:
Incidence in smokers = 56/1,000
Incidence in nonsmokers = 33/1,000

Now, plug the data into the formula:
AR = (56/1,000 - 33/1,000) / (56/1,000)
AR = (23/1,000) / (56/1,000)

Next, cancel the common term (1,000) in the numerator and denominator:
AR = 23/56

Finally, convert the fraction to a percentage:
AR = (23/56) * 100 = 41.07%

Thus, the proportion of cases of disease X due to smoking among those who smoke is approximately 41%.

Answer:

115

Step-by-step explanation:

Answer:

there are 120 animals

Step-by-step explanation:

if cows are 40%, then "not cows" is 60%

so 72 animals 60% of all the animals on the farm

60% of 120 is 72

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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The z or t score to be used is  (0.422,0.978)

How to find the critical value ?

Critical probability (p*) = 1 - (Alpha / 2), where Alpha is equal to 1 - (the confidence level / 100), is the unit statisticians use to determine the margin of error within a set of data in statistics.

The critical value for α = 0.13 is \(z_{c} = \frac{z_{1} - \alpha }{2}\)

The corresponding confidence interval is computed as shown below

\(CI = (X1_{1} - X_{2}- z_{c} \sqrt{\frac{a_{1}^{2}}{n_{1} } + \frac{a_{2}^{2}}{n_{2} }} , X1_{1} - X_{2}+z_{c} \sqrt{\frac{a_{1}^{2}}{n_{1} } + \frac{a_{2}^{2}}{n_{2} }} )\)

\(CI = (2.1 - 1.4- 1.514\sqrt{\frac{1^{2}}{37 } + \frac{0.5_{2}^{2}}{38 }} , 2.1 - 1.4 + 1.514 \sqrt{\frac{1^{2}}{37 } + \frac{0.5^{2}}{38 }} )\)

CI = (0.422, 0.978)

0.422< mu1 - mu 2 < 0.978

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Answer:

Option (A) and Option (E)

Step-by-step explanation:

Length of a segment between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Length = \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

Length of the segment between J(-8, 1) and K(-5, 5) will be,

JK = \(\sqrt{(-8+5)^2+(1-5)^2}\)

JK = \(\sqrt{9+16}\)

JK = 5 units

Length of segment between the points P(2, 8) and Q(7, 3) will be,

PQ = \(\sqrt{(2-7)^2+(8-3)^2}\)

PQ = \(\sqrt{25+25}\)

PQ = \(5\sqrt{2}\) units

Length of segment between the points S(-3, -10) and T(3, -2) will be,

ST = \(\sqrt{(-3-3)^2+(-10+2)^2}\)

ST = \(\sqrt{36+64}\)

ST = 10 units

Therefore, Option (A) and Option (E) are the correct options.

The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. For example

In other words, multiply linearly and simplify

If you have to multiply mixed fractions, first you transform the fraction from mixed to improper and then multiply, for example

The law of signs for multiplication is

   Multiplying fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. ...

   Example: Multiply the following fractions: 1/3 × 3/5.

   Solution: We start by multiplying the numerators: 1 × 3 = 3, then, multiply the denominators: 3 × 5 = 15.

As the level of significance increases, the probability of making a type II error decreases.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

If the level of significance of a hypothesis test is raised from 0.05 to 0.1, the probability of a type II error will decrease.

Type II error occurs when we fail to reject a null hypothesis that is actually false. It is the probability of accepting a false null hypothesis. By increasing the level of significance, we are making it easier to reject the null hypothesis, which in turn decreases the probability of accepting a false null hypothesis.

Hence, as the level of significance increases, the probability of making a type II error decreases.

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The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Probability

Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:

0.6 x 0.6 x 0.6 x 0.4 = X

0.216 x 0.4 = X

0.0864 = X

0.0864 x 100 = 8.64

Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

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To answer this question, we have to find 75% of 40.

The solution is 976.5625

The value of the equation 4⁻² x 8⁰ x 5⁶ is A = 976.5625 and

A = ( 5/4 )² ( 5 )⁴

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = 4^-2 times 8^0 times 5^6

On simplifying the equation , we get

A = 4⁻² x 8⁰ x 5⁶

The value of 4⁻² = 1/4²

                           = 1/16

The value of 8⁰ = 1

Any number raised to the power of 0 is 1

The value of 5⁶ = 15,625

Now , the value of A is A = ( 1/16 ) x 1 x 15625

On simplifying the equation , we get

A = 15625/16

A = 976.5625

A = ( 5/4 )² ( 5 )⁴

Therefore , the value of A is 976.5625

Hence , The value of the equation 4⁻² x 8⁰ x 5⁶ is A = 976.5625 and

A = ( 5/4 )² ( 5 )⁴

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Answer:

-13

Step-by-step explanation:

First subsitute 3 for n

12(3)-49 multiply 3 with 12

26-49 subtract

-13

Answer:

y= -4x+4

Step-by-step explanation:

there you go!!!

Answer:

m= -4 would be the equation

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

(80×20)/8

y is equal to 200

\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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Answer:

\(\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)\)

Step-by-step explanation:

Equation of the Parabola

The general form of the equation of the parabola is:

\(f(x)=ax^2+bx+c\)

We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).

However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:

\(f(x)=a(x-p)(x-q)\)

We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:

\(f(x)=a(x-1)(x+3)\)

We only need to find the value of a. We do that by using the point (-9,28):

\(28=a(-9-1)(-9+3)\)

Operating:

\(28=a(-10)(-6)=60a\)

Solving for a:

\(\displaystyle a=\frac{28}{60}=\frac{7}{15}\)

Thus, the equation of the parabola is:

\(\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}\)

Answer:

The correct answers are B, C ,E

Step-by-step explanation:

The correct options are a, c and e

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, the solution of 15 greater-than-or-equal-to 22 + x

1) The first one is correct because the statement is x greater-than-or-equal-to negative 7. And 22+(-7) is = to 15. This means that in order to get a number below 15 by adding 22 and 15, we need a number that is lower than -7.

2) The second one is incorrect because it is the opposite of the first one. As the first one was correct, this statement is implying the complete opposite as the first one.

3) The third one is correct because we are using greater than or equal to; this means the circle would be closed.

4) The fourth option is incorrect because we need x to be lower than -7, not higher.

5) The fifth option is also correct.

Hence, the correct options are is a, c, e.

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Answer:

267/100

Step-by-step explanation:

Hope this helps! :)

The average time a molecule spends in its reservoir is known as the residence time.

Residence time is an important concept in environmental science, particularly in the study of water quality and pollution. It refers to the average amount of time that a substance, such as a molecule or a pollutant, spends in a particular environment before it is either removed or transformed. For example, in a river, the residence time of a pollutant would be the amount of time it takes for that pollutant to be either broken down by natural processes or transported downstream to another location. By understanding residence time, scientists can better predict how pollutants will move through the environment and where they are likely to accumulate.

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Answer:

ask siri

Step-by-step explanation:

Answer:

The answer is 5 meters tall is the measurement of a parked jet.

Step-by-step explanation:

 12 meters tall airplane

 18 meter shadow of airplane

 6 meter shadow of jet

Find the measurement of the jet (y)

Solution

6y = 12 + 18                         30

-----    ---------    ---->     y   = -------    ----------->  y= 5

6           6                              6

Answer:

Q: How long will it take to go 12.75 miles?

A: 85 seconds

Step-by-step explanation:

d = 0.15t

12.75 = 0.15t

0.15/ 12.75 = 85

Sorry,I don't know how to answer the first question(How fast is it flying?)

Hoped this helped though in some way

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Answer: H = 35

Step-by-step explanation:

You do 20.00+5*h

The correct answer is b. frequency.

Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.

During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.

While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.

In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.

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Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.

In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.

Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.

Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.

Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.

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We need to find the probability P(−1.2 < X < 1.2), where X is a random variable with the Student-t distribution with 16 df. The probability density function of the Student-t distribution is given by:f(x) = Γ((v+1)/2) / {√(vπ)Γ(v/2)(1+x²/v)^(v+1)/2)}, where Γ() denotes the gamma function, v is the degrees of freedom, and x is the argument of the function.

Using the definition of the probability density function, we can integrate this function over the given interval to find the required probability. However, this integration involves the gamma function, which cannot be easily calculated by hand. Therefore, we use software or statistical tables to calculate this probability. Using a statistical table for the Student-t distribution with 16 df, we can find that P(−1.2 < X < 1.2) is approximately 0.741. Thus, the probability that X takes a value between -1.2 and 1.2 is 0.741. Given X is a random variable with the Student-t distribution with 16df. To find the probability P(−1.2 < X < 1.2), we need to use the probability density function of the Student-t distribution.

The probability density function of the Student-t distribution is: f(x) = Γ((v+1)/2) / {√(vπ)Γ(v/2)(1+x²/v)^(v+1)/2)}, where Γ() denotes the gamma function, v is the degrees of freedom, and x is the argument of the function. Using the definition of the probability density function, we can integrate this function over the given interval to find the required probability. However, this integration involves the gamma function, which cannot be easily calculated by hand. Therefore, we use software or statistical tables to calculate this probability. For the given value of 16 df, we can use a statistical table for the Student-t distribution to find the probability P(−1.2 < X < 1.2). From this table, we get that the probability P(−1.2 < X < 1.2) is approximately 0.741. Thus, the probability that X takes a value between -1.2 and 1.2 is 0.741.

The probability P(−1.2 < X < 1.2), where X is a random variable with the Student-t distribution with 16 df, is approximately 0.741.

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A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.

The distribution's mean is another name for the center of the range.

Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

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Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

The largest segment of individuals in the U.S. who experienced a substance use disorder in 2017 were those whose problems involved alcohol.

This is based on the given information that states there were an estimated 19.7 million individuals with a substance use disorder.

Alcohol was the substance most commonly associated with substance use disorders in the U.S. in 2017.

The largest segment by far was those whose problems involved alcohol.

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