Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.

Answer:

1/10th

Step-by-step explanation:

You multiply,

1/2 x 1/5 = 1/10

You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.

Answer:\(\sqrt{36} > 5 \\\)

Step-by-step explanation:

because \(\sqrt{36} =6\)

Therefore  6 > 5

Answer:

the answer is 6

Step-by-step explanation:

:)

Answer:

it is 6 I hope it helped

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Answer:

110

Step-by-step explanation:

you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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To show that a series converges, we can use an upper bound on the terms. An upper bound is a value that is greater than or equal to all the terms in the series. In this case, we are looking for an upper bound on the largest probability in the multinomial(n;1/3,1/3,1/3) distribution.

The multinomial distribution is a probability distribution that describes the outcome of a random experiment where there are multiple possible outcomes and each outcome has a fixed probability. In this case, there are three possible outcomes, each with a probability of 1/3.

The largest probability in the multinomial(n;1/3,1/3,1/3) distribution is given by the maximum value of the multinomial coefficient:

$$\binom{n}{k_1,k_2,k_3}=\frac{n!}{k_1!k_2!k_3!}$$

where $k_1$, $k_2$, and $k_3$ are the number of times each outcome occurs in the experiment.

Since each outcome has a probability of 1/3, the largest probability occurs when $k_1=k_2=k_3=n/3$. Therefore, the largest probability is given by:

$$\binom{n}{n/3,n/3,n/3}=\frac{n!}{(n/3)!(n/3)!(n/3)!}$$

This value is an upper bound on the terms in the series and can be used to show that the series converges.

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Answer: \(e=-50|t-40|+2000\)

The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Step-by-step explanation:

Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.

Then, total time taken to reach the peak = (Distance) ÷ (speed)

= (2,000 feet) ÷ ( 50 feet/minute)

= 40 minutes

Then, as the car moves down to the hill’s base, its elevation drops at the same rate.

The equation that models the cable car’s elevation, e, after t minutes is

e= (constant rate)|t- time to reach peak |+ Peak's height

\(e=-50|t-40|+2000\)

When the cable car’s elevation will be 750 feet after minutes, then we have

\(750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65\)

Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Answer:

450 blocks

Step-by-step explanation:

144/32 = 4.5.

so we need 4.5 times as many blocks for a 144-foot wall.

100 X 4.5 = 450 blocks

After 7 months, Elsie will have less than $800 in her account. The solution has been obtained by using linear equations.

What is a linear equation?

One is the linear equation's degree. The absence of variables in linear equations with exponents greater than one is evident. A straight line is produced by the graph's equation.

Let the number of months be 'x'

We are given that Elsie has $ 1250 in her savings account and from this she pays bill of $ 65 each month.

So, from this we get

⇒1250 - 65x < 800

On solving this, we get

⇒450 - 65x < 0

⇒450 < 65x

⇒6.9 < x

Hence, after 7 months, Elsie will have less than $800 in her account.

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The characteristics of the channel or transmission medium, and other factors related to the specific system being considered.

If we assume that the probability of error (the probability that the decoder will make a mistake) is greater than 0, then the probability that the decoder will know with certainty what the source bit was is 1 minus the probability of error.

Let's denote the probability of error as p_error. The probability that the decoder will know the source bit with certainty (probability of correct decoding) can be expressed as:

P_correct = 1 - p_error

Since we assume that p_error is greater than 0, the probability of correct decoding will be less than 1 but greater than 0.

It's important to note that this is a general concept and the specific value of p_error would depend on the decoding algorithm, the characteristics of the channel or transmission medium, and other factors related to the specific system being considered.

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Answer:

Irrational

Step-by-step explanation:

Angle-Angle (AA) similarity postulate,  if two angles of one triangle are congruent to two angles of another, then the triangles are similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

As per the diagram,

Triangles RPQ & RST are similar since

∠P = ∠S & ∠Q = ∠T

Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangles RPQ & RST are similar since

RP/RS = RQ/RT = ST/PQ

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Answer:

Step-by-step explanation:

Identify the opposite of 2 on the number line.

✔ –2

Identify the opposite of 5 on the number line.

✔ –5

Using your results, which statement is true?

Since –2 is further

✔ right on the number line, –2 > –5

.

this is the answer

The correct state would be negative 2 is greater than negative 5.

The opposite of the numbers can be obtained changing the positive numbers to negative equivalent of the number as follows;

From the initial given expression, 2 < 5, that is 2 is less than 5.

From the opposite numbers, -2 > - 5, that is negative 2 is greater than negative 5.

Thus, the correct state would be negative 2 is greater than negative 5.

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Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

Answer:

15x6=90 90/10= 9

Step-by-step explanation:

I used a calucaltor

-12

----- = -4 that's the key to the operation so -4x 3

3

The given statement is true. A 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.

A 97% confidence interval is a range of values that you can be 97% certain contains the true mean of the population. This is not the same as a range that contains 97% of the values.

It means that repeated samples of the same sample size will produce confidence intervals such that 97% of the intervals will contain the true but unknown parameter prior to drawing the sample. This is called the initial precision of the confidence interval.

Confidence intervals:

Confidence interval computes the range in which the true value lies with a specified confidence level and is generally denoted by a small c.

Therefore we get that a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.

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Answer:

x<-72

The student divided by 6 instead of multiplying by 6

Step-by-step explanation:

Correct:

x÷6<-12

multiply each side by 6

x<-72

What the student did:

x÷6<-12

divide by 6

x÷6<-2

The student divided by 6 instead of multiplying.

Answer:

8 and 4

Step-by-step explanation:

Answer:

\(\frac{1}{axy}\)

Step-by-step explanation:

\(\frac{xy}{a^2+a^3}\) × \(\frac{a+a^2}{x^2y^2}\) ( factorise denominator and numerator of 2 fractions )

= \(\frac{xy}{a^2(1+a)}\) × \(\frac{a(1+a)}{x^2y^2}\)

Cancel (1 + a) from both fractions

= \(\frac{xy}{a^2}\) × \(\frac{a}{x^2y^2}\)

Cancel a and xy from both fractions

= \(\frac{1}{a}\) × \(\frac{1}{xy}\)

= \(\frac{1}{axy}\)

a ≠ 0 , x ≠ 0 , y ≠ 0

as this would would make the function undefined

Answer:

Step-by-step explanation:

\(\dfrac{xy}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}\)

Apply the fraction rule \(\dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a \times c}{b \times d}\) :

\(\implies \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}\)

Cancel the common factor \(xy\) :

\(\implies \dfrac{(a+a^2)}{xy(a^2+a^3)}\)

Factor \((a+a^2)=a(1+a) \ \ \textsf{and} \ \ a^2+a^3=a^2(1+a)\) :

\(\implies \dfrac{a(1+a)}{xy \cdot a^2(1+a)}\)

Cancel the common factor \(a(1+a)\) :

\(\implies \dfrac{1}{axy}\)

I think the "if" part is a, x and y cannot equal zero, as otherwise the expression will be undefined.

So I would put: \(x\neq 0; y\neq 0, a\neq 0\)

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:  17 would be the approximate value of x.

Step-by-step explanation: 4 is the √16, so the value plotted on the number line, 4.1 represents the square root of a slightly larger number than 16.

Answer:

Step-by-step explanation:

Area of trapezoid formula:

Substitute values and find the area:

Answer:

34

Step-by-step explanation:

Given the trapezoid formula:

1/2(b1+b2) x h

The first step is to find the bases and height.

1/2(12+5) x 4

The second step is to do what is in the parentheses.

12+5=17

The third step is to divide 17 and 2.

17÷2=8.5

The last step is to Multiply 8.5 and 4.

8.5 x 4 = 34

So your answer is 34 centimeters.

When using a Taylor polynomial to estimate the probability that a value lies within two standard deviations of the mean, the result will depend on the specific function used to create the polynomial. However, in general, a Taylor polynomial can provide a good approximation of the function within a certain interval.

1. Identify the function: The probability distribution function for a normal distribution is given by the function f(x) = (1/σ√(2π)) * e^(-(x-μ)^2 / 2σ^2), where μ is the mean and σ is the standard deviation.

2. Determine the interval: Two standard deviations from the mean are represented by the interval [μ - 2σ, μ + 2σ].

3. Apply Taylor polynomial: Approximate f(x) using a Taylor polynomial centered at μ. The higher the degree of the polynomial, the more accurate the approximation.

4. Calculate probability: Integrate the Taylor polynomial over the interval [μ - 2σ, μ + 2σ] to estimate the probability.

5. Interpret the result: The estimated probability represents the likelihood that a value lies within two standard deviations of the mean in a normal distribution.

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Some molecules which cannot be synthesized by cell but must be obtained from environment, then these types of molecules include vitamins and amino acids and are known as growth factors.

The "Growth-factors" are essential for various biological processes, including cell growth, development, and repair. They act as signaling molecules that bind to specific receptors on cells, initiating intracellular signaling pathways and triggering specific cellular responses.

By providing these molecules, the environment supports the cell's ability to function properly and carry out vital processes necessary for growth, development, and overall survival.

Obtaining growth factors from the environment becomes crucial in maintaining the necessary balance of these molecules for the cell's optimal functioning.

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Answer:

75%

Step-by-step explanation:

the question can be '12 is what percent of 16'?

we can use this proportion:  let 'd' = discount

is/of = %/100

12/16 = d/100

cross-multiply to get:

16d = 1200;  d = 1200/16

which is 75 percent

Answer:

6x+20y

Step-by-step explanation:

Answer: 20y+3(2x)

Step-by-step explanation:

Multiply the numbers

3(2x)+4y ⋅  5

3(2x)+20y

Rearrange terms

3(2x)+20y

20y+3(2x)

Answer:

5 apples

Step-by-step explanation:

because jonny never had any taken away or added

BENJI KROL + NIC KAUFMANN FOREVER

Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist