In the inequality 2x + $10,000 ≥ $70,000, x represents the salary of an employee in a school district. Which phrase most accurately describes the employee’s salary?

The expression representing number of slices of pizza ate by Riley is equal to (2/3 ) of total slices of one small pizza is given by  n = (2/3) × p.

Let us consider 'n' represents the number of slices of pizza Riley eats

Here 'p' represents the total number of slices of one small pizza.

If Riley eats two-thirds (2/3) of a small pizza with p slices,

Then the number of slices of pizza Riley eats can be represented by the expression,

Number of slices of pizza Riley eats  

= ( 2/3 ) × Total number of slices of one small pizza

⇒ n = (2/3) × p

Therefore, the expression represents two-thirds of the total number of slices in the pizza, which is the amount that Riley eats is equal to n = (2/3) × p

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The above question is incomplete, the complete question is:

Riley eats 2/3 of one small pizza with p slices. Enter an expression to represent the number of slices of pizza Riley eats. ​

The average total cost can be found by dividing the total cost by the quantity produced. In this case, the total cost function is given as C = 90 + 35Q + 25Q^2 + 10Q^3, and we want to find the average total cost when Q = 2.

To find the average total cost, we need to calculate the total cost when Q = 2. Plugging Q = 2 into the cost function, we get:
C = 90 + 35(2) + 25(2^2) + 10(2^3)
C = 90 + 70 + 100 + 80
C = 340

Next, we divide the total cost by the quantity produced:
Average Total Cost = Total Cost / Quantity
Average Total Cost = 340 / 2
Average Total Cost = 170

Therefore, the value of average total cost when Q = 2 is $170.

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Answer:

a. 3/8

Step-by-step explanation:

Answer:

A.                         Have a wonderful day! o(^▽^)o

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is 0, trust me

Answer:

The relationship is proportional.

The points form a straight line that passes through the origin.

Step-by-step explanation:

Answer:

The pionts lie on a straight line that goes through the origin

Step-by-step explanation:

cuz i got it right

The 90% confidence interval for the average number of hours of sleep for working college students is between 6.15 and 6.85 hours.

Therefore, the answer is option (a) 6.15 and 6.85 hours.

A confidence interval is a statistical range of values within which we can be reasonably confident that the true value of a population parameter lies. It is commonly used in inferential statistics to estimate an unknown population parameter, such as a mean or a proportion, based on a sample from that population.

To calculate the 90% confidence interval for the average number of hours of sleep for working college students, we'll use the formula:

Confidence Interval = Sample Mean ± (Critical Value x Standard Error)

Where:

Sample Mean: 6.5 hours (the average number of hours of sleep)

Critical Value: t-value corresponding to a 90% confidence level with 100 degrees of freedom (101 students - 1)

Standard Error: Standard Deviation / Square Root of Sample Size

Let's plug in the values and calculate the confidence interval:

Standard Error = 2.14 / √101 ≈ 0.2139

Confidence Interval = 6.5 ± (1.660 x 0.2139)

Confidence Interval = 6.5 ± 0.3546

Lower Bound = 6.5 - 0.3546 ≈ 6.1454

Upper Bound = 6.5 + 0.3546 ≈ 6.8546

Rounding to the hundredths place, the 90% confidence interval for the average number of hours of sleep for working college students is between 6.15 and 6.85 hours.

Therefore, the answer is option (a) 6.15 and 6.85 hours.

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A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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we have that

the radius is

r=12.1 in

the volume of a sphere is

substitute the given values

Part 2

In this problem we have the diameter of the sphere

D=13.6 mm

so

r=D/2=13.6/2=6.8 in

substitute in the formula

Linear regression is a statistical tool used in predictive analytics to identify the relationship between a dependent variable and one or more independent variables.

Linear regression is a statistical technique used in predictive analytics to identify the relationship between a dependent variable and one or more independent variables. It is used to predict future outcomes by analyzing data from the past. It works by fitting a linear equation to the data, which is then used to estimate the value of the dependent variable for any given combination of values of the independent variables. The linear equation is constructed by finding the line of best fit through the data points. Linear regression can be used to identify trends and patterns in the data, and to make predictions about future outcomes. It is a powerful tool for predicting the future, and can be used to make informed decisions about how to best use resources.

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Answer:

37.6

Step-by-step explanation:

In this triangle, for the 62° angle, 20 is the adjacent leg, and x is the opposite leg.

tan 62° = opp/adj

tan 62° = x/20

x = 20tan 62°

x = 37.6

Answer:

Value = 44,0000(0.75)^t

Where t = number of years

Value after 4 years = 44,000 (0.75)^4

Answer:

b

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

25% can be written as 0.25

so:

24= .25*x

Divide both sides by 0.25

24 - .25x

.25 - .25

x=96

If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.

Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.

Given that machine take 3 minutes to fill 40 bottles

So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.

That is in 1 minute the machine fill approximately 14 bottles.

So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).

Thus the machine take approximately 18 minutes to fill 240 bottles.

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1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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Standardized scores, also known as z-scores, allow us to compare and analyze data from different sources, scales, and units of measurement. They provide a common metric for comparing individual scores to the distribution of scores for a given population, making it easier to interpret and compare data.

Z-scores indicate the number of standard deviations that a particular score falls above or below the mean of a distribution.

A z-score of 0 represents a score that is exactly at the mean of the distribution, while a z-score of +1 represents a score that is one standard deviation above the mean, and a z-score of -1 represents a score that is one standard deviation below the mean.

Standardized scores allow us to:

Compare scores from different populations:

Z-scores make it possible to compare scores from different populations with different means and standard deviations.

This makes it easier to analyze data from multiple sources and to draw meaningful conclusions.

Identify outliers:

By using z-scores, we can identify scores that are significantly higher or lower than the rest of the distribution.

This can help to identify potential outliers or anomalies in the data.

Calculate percentiles:

Z-scores can be used to calculate percentiles, which indicate the percentage of scores that fall below a particular score.

A z-score of +1.5 represents a score that is higher than 93.32% of the scores in the distribution.

Standardize data:

By converting raw scores to z-scores, we can standardize the data, making it easier to compare scores and draw meaningful conclusions.

Standardized scores (z-scores) provide a powerful tool for analyzing and interpreting data in a way that is consistent and meaningful.

To compare scores from different populations, identify outliers, calculate percentiles, and standardize data.

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Answer:

61%

Step-by-step explanation:

First we need to fine how many of the cards contain "2", which if we count them out(12, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29), we know the answer is 11.

That means there 11 out of 18 cards meet our criterion, and therefore the chances of drawing a card with a 2 on it are 11/18.

11/18 = 0.61 = 61%

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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Answer:

no these degrees do not make a right triangle

We will determine the value of theta as follows:

So, the measurement of the angle is approximately 61.6°.

From the 25,000 participants,

14,810 are less than 35 years old.

Answer:

Trinity can withdraw $25 from her bank account for 13 weeks.

Step-by-step explanation:

If she wants to have at least $200 by the end of summer you need to subtract that much from what she has now. Which would be $325.38. Now you have to divide that number into 25, which should give you the number of week that money would last. That number is 13.0152, you don't need all those extra numbers so just use 13. No to check you work multiply 25 and 13. You get 325.

We already know that Jackson biked k kilometers.

Maria biked 8 more kilometers than Jackson, which means that she biked

Peter biked 2 fewer kilometers than Jackson, which means that he biked

To get the total all of them biked, we add those expressions together.

Solve the equation and evaluate the expressions for EFG and GFH with the obtained value of 'n'. The values of EFG and GFH are 98 and 82 respectively.

In the given problem, EFG and GFH are a linear pair of angles. The measures of EFG and GFH are represented by expressions involving the variable 'n'. EFG is equal to 5n + 23, and GFH is equal to 4n + 22.

EFG and GFH are a linear pair of angles, which means they are adjacent angles formed by two intersecting lines and their measures add up to 180 degrees. In this case, the measures of EFG and GFH are represented by expressions involving the variable 'n'.

EFG is given as 5n + 23, and GFH is given as 4n + 22. To find the value of 'n' and the measures of EFG and GFH, we can set up an equation. Since EFG and GFH are a linear pair, their measures should add up to 180 degrees.

So, we can write the equation: (5n + 23) + (4n + 22) = 180

By combining like terms and solving the equation, we can find the value of 'n'. Once we determine the value of 'n', we can substitute it back into the expressions for EFG and GFH to find their specific measures.

To solve the equation (5n + 23) + (4n + 22) = 180, we can combine like terms and then solve for n:

Starting with the left side of the equation:

(5n + 23) + (4n + 22) = 180

We can simplify by removing the parentheses:

5n + 23 + 4n + 22 = 180

Combine like terms:

9n + 45 = 180

Next, we can isolate the variable by subtracting 45 from both sides of the equation:

9n + 45 - 45 = 180 - 45

This simplifies to:

9n = 135

Finally, to solve for n, divide both sides of the equation by 9:

9n/9 = 135/9

This yields:

n = 15

Thus by substituting the values of n, we get the values of EFG and GFH as:

EFG=5(15)+23=98

GFH=4(15)+22=82

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(a) The percentage of college graduates who support drilling for oil and natural gas off the coast of California is 35.16%, and the percentage of non-college graduates who support it is 33.94%.

(b) The calculated test statistic is 1.20, which is less than the critical value of 1.96. Therefore, we fail to reject the null hypothesis, and we do not have enough evidence to conclude that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.

We divided the number of supporters in each group by the total number of respondents in that group and multiplied by 100. We found that 154 out of 438 college graduates (35.16%) and 132 out of 389 non-college graduates (33.94%) in the sample support drilling for oil and natural gas off the coast of California.

We set up the null and alternative hypotheses and chose a significance level of 0.05. We calculated the test statistic using the formula for a two-sample z-test for proportions. We found that the calculated test statistic (1.20) is less than the critical value of 1.96, so we fail to reject the null hypothesis. Therefore, we conclude that there is not enough evidence to suggest that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.

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