Renting video games from Store S cost $2.50 per game plus a monthly fee of $5. Renting video games from Store T cost $5 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. What inequality represents the situation when the monthly cost of Store S is less than the monthly cost at Store T?

Answer:

Paint mixture ratio:  

Quantities of paint needed for a total volume of 31 litres:

Step-by-step explanation:

We have been given quantities of paint in both litres and millilitres.

Therefore, first convert millilitres to litres (since the next part of the question is in litres).

Conversion:

To convert millilitres to litres, divide the quantity in millilitres by 1000:

\(\implies \sf Red\;paint:\quad 15\; ml = 15 \div 1000 = 0.015 \; litres\)

\(\implies \sf Yellow\;paint:\quad10 \; ml = 10 \div 1000 = 0.01 \; litres\)

Also convert the quantity of white paint to a decimal:

\(\implies \sf Whitez;paint: \quad \frac{3}{4} \;of \;a \;litre= 0.75\;litres\)

Therefore, the ratio of white paint to red paint to yellow paint in litres is:

To calculate how much of each colour we must mix to make a total of 31 litres of paint, first find the constant of proportionality:

\(\implies 0.75x+0.015x+0.01x=31\)

\(\implies 0.775x=31\)

\(\implies 0.775x \div 0.775=31\div 0.775\)

\(\implies x=40\)

Now multiply each ratio by the found constant of proportionality:

The mean, Variance , and standard deviation for the number of Americans who favor government spending for alternative fuels are given by;

Mean = 82.5

Variance = 20.625

Standard deviation = 4.54

Given that, for a random sample of 110 Americans, 75% of them favor spending government money to develop alternative sources of fuel for automobiles. We need to find the mean, variance, and standard deviation for the number who favor government spending for alternative fuels.

Mean:

For Bernoulli trials, the mean is the same as the probability of success. Therefore, the mean number of Americans favoring government spending for alternative fuels = 0.75×110=82.5

Variance : For Bernoulli trials, the variance is given by;

Variance = npq

Here, p = 0.75, q = 1-p = 0.25 and n = 110

Therefore, variance = 110 × 0.75 × 0.25 = 20.625

Standard Deviation: Standard deviation is the square root of variance.

Standard deviation = √(20.625) = 4.54 (rounding off to 3 decimal places)

Therefore, the mean, variance, and standard deviation for the number of Americans who favor government spending for alternative fuels are given by; Mean = 82.5

Variance = 20.625

Standard deviation = 4.54 (rounding off to 3 decimal places)

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d) there must be at least 30 trials.

Answer:

Ok this is pretty simple hun, all you have to do if you encounter another exercise like this is see how many are of each colores marble and do it as a fraction with the total of numbers! Let me show you!

Step-by-step explanation:

there are 30 beads in total (this will be our denominator in our fraction)

Because there are equal numbers of blue, orange and green we divide 30 into 3

30/3 = 10

So there are. 10 of each color.

Next we add the number of blue and green beads so

10 + 10 = 20 (that is our numerator)

Now we do a fraction

20/30 = 2/3 cause we divided both numbers by 10

Making the answer B. 2/3

The value of the F ratio for testing the significance of this model is not 15.56.

For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.

To determine which statement is true, we need to compare the values of SST and SSE.


Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.

Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.

Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.

Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:

F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))

F = ((900 - 460) / 5) / (460 / (35 - 5))

F = 440 / 460

F ≈ 0.9565

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Answer:

C

Step-by-step explanation:

C starts at zero and moves down by 90 ft

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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The area of the given figure is 100 cm².

In the above figure, we calculate total area by dividing the figure into two sub figures wherein we get a square portion of side 5 cm and a rectangular portion of length 15cm and breadth 5 cm. The area of the square and rectangle can be given as product of their two sides that is length multiplied by breadth.

Area of square portion = 5*5 = 25 square centimeter

Area of rectangular portion =15*5 = 75 square centimeter

Hence total area of the figure = Area of square portion + Area of rectangular portion.

Therefore, Total area of figure = 25 + 75 = 100 cm².

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To answer this question, a chi-square test of independence can be used to determine if there is a significant association between region of the country and support for new national parks (for or against).

The null hypothesis would be that there is no association between the two variables, and the alternative hypothesis would be that there is an association.

To analyze whether support for new national parks differs by region in the country (West, Midwest, South, Northeast), you would use an Analysis of Variance (ANOVA) test. The ANOVA test allows you to compare the means of multiple groups (in this case, the regions) to determine if there is a significant difference in support for new national parks among them.

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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The correct answer is a: every individual has an equal chance of being selected. A random sample is a subset of a population that is selected in a way that each member of the population has an equal probability of being chosen.

The randomness of the sample helps to ensure that the results obtained from the sample are representative of the entire population.

Option b, the probabilities cannot change during a series of selections, is a requirement for independent events but not necessarily for a random sample.

Option c, there must be sampling with replacement, is not always required for a random sample. Sampling with replacement means that after an individual is selected, they are returned to the population and can be selected again. This is not always necessary for a random sample.

Therefore, the correct answer is a: every individual has an equal chance of being selected.

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Answer:

10

Step-by-step explanation:

10×10×10 = 1000

(10³ = 1000)

Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

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Answer:

6x-y=4 is the answer.........

Answer:

$18

Step-by-step explanation:

40% off means that will only paid 60% of the originally price.

Therefore $30 (.60) = $18  

or

Use  Original cost - discount = the sale price

         $30 -  $30(.40) = the sale price

          $30 - $12 = $18

Answer:

letter a

Step-by-step explanation:

The ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.

i) Total number of problems =10

Correct problems = 6

Incorrect problems = 4

Ratio =  Correct / incorrect

Ratio = 6/4

Ratio = 3/2

= 3 : 2

ii) The ratio of the number of correct problems to the number of bad problems, i.e. 3:2, represents that for every three problems the student can correct, both problems are wrong.

Hence, the ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.

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Answer:

\(V=0.09375\ mm^3\)

Step-by-step explanation:

Given that,

The length of the rectangular prism = (1/2) mm

Width = (1/4) mm

Height = (3/4) mm

We need to find the volume of the prism. We know that the formula for the volume of a rectangular prism is given by :

V = lbh

Put all the values,

\(V=\dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{3}{4}\\\\V=0.09375\ mm^3\)

So, the volume of the prism is equal to \(0.09375\ mm^3\).

Answer:

80

Step-by-step explanation:

Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80

b/c the 2 lines are equal

Answer:

1/11

Step-by-step explanation:

First you have to times 1/3 and 1/2 and then you get 1/6. Then you add 1/3 and 1/2 and that's 1/5. then you add them both.

Given:

1st graph suits the equation.

Above graph is the final answer.

Answer:

The angle-angle-side postulate. A.A.S

Step-by-step explanation:

The primary role of a control in an experiment is not to prove that a hypothesis is correct but rather to provide a baseline for comparison and ensure the validity and reliability of the experimental results. The statement attributed to Rachel Carson is about the concern regarding pesticides. Among the given categories of thinking (critical, creative, analytical, reflective, logical), there is no single category that is above all others. Each category has its own significance and contributes to different aspects of thinking.

The primary role of a control in an experiment is to provide a standard or baseline against which the experimental group is compared. It helps researchers assess the effect of the independent variable by isolating it from other potential variables. The purpose is not to prove the hypothesis correct but rather to ensure that any observed changes or effects can be attributed to the independent variable and not to other factors.

The statement about pesticides eating and drinking chemicals is attributed to Rachel Carson, who was an influential environmentalist and author known for her book "Silent Spring" which highlighted the harmful effects of pesticides on the environment and human health.

Regarding the categories of thinking, critical, creative, analytical, reflective, and logical thinking are all important and serve different purposes. Critical thinking involves evaluating and analyzing information, creative thinking involves generating new ideas, analytical thinking involves breaking down complex problems, reflective thinking involves introspection and learning from past experiences, and logical thinking involves reasoning and making logical connections. Each category of thinking has its own value and is applicable in different contexts, and there is no single category that can be considered above all others as they are all important in their own right.

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Answer:

I think u got yr question incomplete

there is no any equation

Answer:

Step-by-step explanation:

Only option B is true.

y=5 is a asymptote horizontal f(x) -> 5 as x -> +oo

The asymptote of the given graph is y = 5 because as x tends to the infinite value of graph approach to 5 so option (B) will be correct.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Asymptote is an imaginary straight line that represents the overall graph nearest to that.

It means the distance from the line to the curve tends to be zero.

Given the curve,

If we look at the graph then it is going near to five horizontal.

As x → ∞ the graph is approaching the value of approx 5.

Hence "The asymptote of the given graph is y = 5 because as x tends to the infinite value of graph approach to 5".

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Answer:

either

t - 41

or

41 - t

you choose I don't want to get u a bad mark

Hope this helped!

Step-by-step explanation: