The equation s=100−5m represents the relationship between the total score on Mr. Totten's algebra quiz, s, and the number of questions a student missed, m. Which statement describes the slope in this equation?

The per cent of 32 out of 80 will be 40% out of 80.

To translate this per cent problem, we can establish up a ratio table and use cross-multiplication to calculate the answer.

32 is x% out of 80

Set up the ratio table:

32 x%

-- = ---

80 100%

Now, cross-multiply to solve for x:

32 × 100 = x% × 80

3200 = 80x

Now, divide both sides by 80 to calculate x:

3200 / 80 = 80x / 80

40 = x

So, the answer is 40%. Therefore, 32 out of 80 is 40% out of 80.

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Answer:

Yes, they both have a volume of 423.9 inches cubed.

Step-by-step explanation:

Both cylinders have the same volume formula V=(pi)(r^2)(h)

d/2=r=3

h=15

so, (3.14)(9)(15)=423.9

The volume of each cylinder is 423.9

The "rise" direction represents the Recession Velocity, indicating the motion of galaxies away from us, while the "run" direction represents the X axis, representing the independent variable used to measure distance or time in the Hubble Constant equation.

The "rise" direction in the context of the slope of the Hubble Constant represents the Recession Velocity (RV). It signifies the rate at which galaxies are moving away from us in the expanding universe.

On the other hand, the "run" direction represents the X axis. It refers to the distance or time, depending on the specific interpretation, along the X axis used to measure the independent variable in the Hubble Constant equation.

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Multiple Regression is the regression analysis involving one dependent variable and more than one independent variable.

A regression is a technique that relates a dependent variable [response]  to one or more independent (explanatory) variables.

The linear regression equation is in the form, y = mx + b ., where X is an Independent variable and Y is a Dependent variable.

Multiple regression is a  technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

Y = a + b₁X₁+ b₂X₂ + .........+ bₙXₙ

Hence, Multiple Regression analysis involving one dependent variable and more than one independent variable.

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Answer:

The point about which an image is rotated in rotational symmetry

Hope this helps :)

Answer:

Centre

Step-by-step explanation:

A point of symmetry is a line where a 2d or 3d drawing or object can be parted in halves leaving no excess

The researcher should conclude that the claimed value of 0.12 is incorrect based on the sample data.

The appropriate decision based on the results of the hypothesis test is that the null hypothesis should be rejected because 0.03 is less than 0.05.

In hypothesis testing, the null hypothesis is typically a statement that there is no difference between the sample and the population parameter. In this case, the null hypothesis would be that the proportion of college students who are awarded academic scholarships is 0.12, as claimed. The alternative hypothesis would be that the proportion is different from 0.12.

The p-value is the probability of obtaining a sample proportion as extreme or more extreme than the one observed, assuming that the null hypothesis is true. A p-value of 0.03 means that there is a 3% chance of observing a sample proportion as extreme or more extreme than 0.08, assuming that the true population proportion is 0.12.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the proportion of college students who are awarded academic scholarships is significantly different from 0.12.

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Answer:

6 trips

Step-by-step explanation:

12 divided by 4 equals 3

18 divided by 3 equal 6

she will have to take six trips to drive 18 kilometers.

Answer:

165cm

Step-by-step explanation:

The probability of at least one visit during a given minute is 86.47%.

Given that the average rate of visits per minute is two.

To find the probability of at least one visit during a given minute, we can use Poisson distribution.

Poisson distribution is a probability distribution that is used to determine the probability of a certain number of events occurring in a fixed time period when the events are rare and random.

The Poisson probability distribution is given by;

\(P(X=x) = (e^{-\lambda} \times \lambda ^x) / x!\)

Where; λ is the average rate of events, x is the number of events that occurred, and e is the base of the natural logarithm,

e ≈ 2.7183

We can find the probability of at least one visit in a minute using the complement rule.

The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening.

Therefore;

P(at least one visit) = 1 - P(no visit)P(no visit)

= P(X=0)   = \((e^{-\lambda} \times \lambda^0) / 0!\)  = \(e^{-\lambda}\) = \(e^{-2}\) = 0.1353

Therefore;

P(at least one visit) = 1 - P(no visit)

= 1 - 0.1353

= 0.8647 = 86.47%

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Answer:

(4) on a graph, the solution of a system of equations is the point where the lines intersect.

(5) a system of linear equations includes at least two linear equations.

(6) the solution of a system of linear equations is any values of the variables that satisfy both equations at the same time.

Answer:

A

Step-by-step explanation:

The correct option is option C, "The same poll is given to each respondent," is the most reasonable assumption among the given options.

The assumption that "The same poll is given to each respondent" is reasonable because it ensures consistency and fairness in the data collection process.

By using the same poll for each respondent, we can minimize potential biases that may arise from variations in the questions or survey instruments. This allows for more accurate and comparable results across different respondents.

It helps maintain the integrity of the survey methodology and ensures that all respondents are given equal opportunities to provide their responses. Therefore, option C, "The same poll is given to each respondent," is the most reasonable assumption among the given options.

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The value of x in the given figure is x = 7.

Given is a figure with two lines intersecting at a point and making two angle (x+16) and (4x-5).

We need to find the value of x.

To find the value of x, we can set the two angles equal to each other since they are formed by the intersecting lines and hence are vertically opposite angles.

Vertically opposite angles are always equal to each other. In other words, if you measure one of the vertically opposite angles, it will have the same measure as its opposite angle.

According to the given information, the angles are (x+16) and (4x-5). Therefore, we can set up the following equation:

x + 16 = 4x - 5

To solve for x, we'll isolate it on one side of the equation.

Let's solve the equation step by step:

x - 4x = -5 - 16 (subtract x from both sides and simplify)

-3x = -21 (combine like terms)

x = (-21) / (-3) (divide both sides by -3)

Simplifying further, we get:

x = 7

Therefore, the value of x is 7.

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a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.

To calculate the volume occupied by a sample of osmium, we can use the formula:

Volume = Mass / Density

Given:

Mass = 21.8 g

Density = 22.6 g/cm³

Substituting these values into the formula:

Volume = 21.8 g / 22.6 g/cm³

Simplifying:

Volume = 0.9646 cm³

what is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.

In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.

For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.

Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.

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Step-by-step explanation:

Answer:

(5x + 3x) (x -5)

Step-by-step explanation:

Factor a GCF from the expression, if possible.

Factor a Trinomial, if possible.

Factor a Difference Between Two Squares as many times as possible.

If the equation is in the form a2-b2, factor it to (a+b)(a-b). Equations with two variables factor differently than basic quadratics. For any equation a2-b2 where a and b do not equal 0, the equation factors to (a+b)(a-b). For example, the equation 9x2 - 4y2 = (3x + 2y)(3x - 2y).

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

The estimated product is 52.

Step-by-step explanation:

0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52

Hope this helps! :)

Answer:

The number is 62

Step-by-step explanation:

Let the digits of the number be T and U;

A 2 digit number is represented as: 10T + U

So,

\(T + U = 8\)

\(10T + U - (10U + T) = 10 + 10U + T\)

Required

Find the digit

Make U the subject in the first equation

\(U = 8 - T\)

Substitute 8 - T for U in the second

\(10T + U - (10U + T) = 10 + 10U + T\)

\(10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T\)

\(10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T\)

\(10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T\)

Collect Like Terms

\(10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T\)

\(18T -72 = 90 - 9T\)

\(9T + 18T = 90 + 72\)

\(27T = 162\)

\(T = 162/27\)

\(T = 6\)

Recall that:

\(U = 8 - T\)

\(U = 8 - 6\)

\(U = 2\)

Hence, the number is 62

The point (4,7) in the original function translates to the point (4,1) in the translated function f(x) = (x-6) + 3.

To find the point that the function f(x)=(x-6)+3 translates to, we need to substitute the x-coordinate of the given point (4,7) into the translated function and evaluate the corresponding y-coordinate.

Let's substitute x = 4 into the translated function:

f(x) = (x - 6) + 3

f(4) = (4 - 6) + 3

f(4) = -2 + 3

f(4) = 1

The translated point is (4, 1). This means that the original point (4,7) translates horizontally by shifting 6 units to the right and vertically by shifting 3 units upwards. The x-coordinate remains the same, while the y-coordinate changes.

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Answer:

X≥10≤30

Step-by-step explanation:

This means it has to be at least 10 but no more than 30.

Answer:

Your answer is. a=14-3b

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The equation of 'b' in terms of 'a' will be b = (14 - a) / 3.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

a = 3t - 10          ...1

b = 8 - t             ...2

From equation 2, then we have

b = 8 - t

t = 8 - b

Put the value of t in equation 1, then we have

a = 3(8 - b) - 10

a = 24 - 3b - 10

a = 14 - 3b

3b = 14 - a

b = (14 - a) / 3

The equation of 'b' in terms of 'a' will be b = (14 - a) / 3.

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In many cases, when we evaluate functions, we just have to replace x with a given value and simplify the expression.

\(g(x)=\dfrac{1}{4}x+1\)

⇒ To solve for g(-16), plug in -16 as x:

\(g(x)=\dfrac{1}{4}(-16)+1\\\\g(x)=-4+1\\\\g(x)=-3\)

g(-16) = -3

Conditions which help us to differentiate the properties of rectangle, rhombus , and square are:

Rectangle : Opposite sides are congruent with measure of each of the angle 90°.

Rhombus : Parallelogram whose diagonals are perpendicular.

Square: All four sides are congruent with measure of each of the angle 90°.

Different conditions of rectangle , rhombus, and square are:

The given question is incomplete, I answer the question in general according to my knowledge:

What are the conditions which differentiate rhombus, rectangle, and square from each other?

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2.67 pints of red paint to be added to the paint Mixer in order to achieve the desired 75% red and 25% yellow mixture.

The number of pints of red paint that need to be added to the paint mixer, we need to calculate the amount of paint in the mixer currently and find the difference between that amount and the desired 75% red mixture.

Currently, the paint mixer contains 4 pints of equal amounts of yellow and red paint. Since the yellow and red paint are in equal amounts, we can say that there are 2 pints of red paint in the mixer.

Now, let's calculate the amount of red paint required for the desired mixture. We want the final mixture to be 75% red, which means that 75% of the total mixture should be red.

the total mixture required is X pints. Since 75% of the mixture should be red, we have:

0.75X pints of red paint.

Since the current amount of red paint in the mixer is 2 pints, we can subtract this from the desired amount to find the additional pints of red paint needed:

0.75X - 2 pints.

We want the additional pints of red paint to equal 0, so we set up the equation:

0.75X - 2 = 0.

Solving this equation, we find:

0.75X = 2.

X = 2 / 0.75.

X ≈ 2.67.

Therefore, we need approximately 2.67 pints of red paint to be added to the paint mixer in order to achieve the desired 75% red and 25% yellow mixture.

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Answer:

Step-by-step explanation:

what do u mean i domt rlly inderdstnd

Answer:

66%

Step-by-step explanation:

The experimental probability of winning 5 or more tickets is 90%

To do this, we simply add the probability values of the bars that have a value of 5 or more

So, we have:

P(x >= 5) = (5 + 8 +17 + 19 + 20 + 21)%

Evaluate the sum

P(x >= 5) = 90%

Hence, the experimental probability of winning 5 or more tickets is 90%

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Answer: 27

Step-by-step explanation: in order to find out the LCM, you have to list out the multiples of 9 ( 9: 9, 18, 27, 36, etc.) and 27 ( 27: 27, 54, etc). Then you find the least common multiple which in this case is 27.