the geometric mean of 2 numbers is 20. one of the numbers 50. what is the other
number?

Answer:

60%

Step-by-step explanation:

Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.

The central limit theorem is one reason they are significant.

This claim argues that, in some circumstances, the average of many samples (observations) of a random variable with finite variance and mean is itself a random variable, whose distribution tends to become normal with an increase in sample size.

Because of this, distributions of physical quantities that are meant to be the culmination of multiple separate processes, such as error margins, frequently resemble normal distributions.

Only the normal distribution has additional cumulants after the first two that are zero. It is also the continuous distribution with the highest level of entropy for a given mean and variance.

Assuming that the mean and variance are finite, Geary has shown that the normal distribution is the only distribution in which the mean and variance calculated from a collection of independent drawings are independent of one another.

The normal distribution is a form of elliptical distribution. The normal distribution is symmetric about its mean and non-zero over the whole real line.

Consequently, it could not be an appropriate model for variables that are inherently positive or highly skewed, such as a person's weight or the value of a share.

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:To conduct a hypothesis test using the p-value approach, the general steps are as follows:

State the null hypothesis (H₀) and the alternative hypothesis (H₁) based on the research question or claim.

Choose an appropriate statistical test based on the type of data and the research question.

Collect the necessary data and calculate the test statistic.

Determine the significance level (α) for the test, which will dictate the critical value or the region of rejection.

Calculate the p-value, which represents the probability of observing the obtained test statistic or more extreme values under the null hypothesis.

Compare the p-value to the significance level (α) to make a decision.

If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis.

If the p-value is greater than or equal to α, fail to reject the null hypothesis.

Step-by-step explanation:

Answer: to solve this equation, multiply both sides of the equation by 2.

Step-by-step explanation: by multiplying both sides of the equation by 2, you are effectively eliminating the fraction on the left, making the answer x = 16.

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

The volume of the given rectangular prism is 396 cubic kilometer.

From the given figure,

Length = 9 km, Breadth=4 km and Height=11 km

We know that, the formula to find the volume of a rectangular prism is Length×Breadth×Height.

Here, volume = 9×4×11

= 396 cubic kilometer

Therefore, the volume of the given rectangular prism is 396 cubic kilometer.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the volume of the figure. Round your answers to the nearest hundredth, if necessary. (Figure is attached below).

Answer:

\(v=\frac{145}{8}\)

Step-by-step explanation:

\(\frac{5}{v}=\frac{2}{7.25}\)

\(\frac{5}{v}=\frac{2}{\frac{725}{100}}\)

\(v=\frac{2}{\frac{5^2*29}{2^2*5^2}}\)

\(v=\frac{145}{8}\)

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

Answer:

6 equal parts;  8 equal parts

Both those will go into 24.

Step-by-step explanation:  Each of six slices of the first pasta has the area 1%2F6 of the entire pan.

Each of eight slices of the second pasta has the area 1%2F8 of the original pan.

Nelda will cut each 1%2F6 in 4 equal pieces to get 1%2F24.

She also will cut each 1%2F8 in 3 equal pieces to get 1%2F24.

Answer:

4/6 would be the anwser

Step-by-step explanation:

Answer:

12000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

60% of 30 is 18

Let us set up the equation:

\(total population = 10000*(2)^{68/17}=10000*(2^4)=160000\) people

Hope that helps!

Assuming a town with a population of 10,000 doubles in size every 17 years. The population  68 years from now is 160,000.

P(t) = 10000×2t/12

Where:

t=time;  k is a constant

P(68) = 10000×2^68/12

P(68) = 10000×2^4

P(68) = 10000×16

P(68) = 160,000

Inconclusion assuming a town with a population of 10,000 doubles in size every 17 years. The population  68 years from now is 160,000.

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Answer:

B. 38.5

Step-by-step explanation:

Not 100% sure, but

41+36=77

77/2=

=38.5

The distribution of W = Σ W_i/n is a normal distribution with mean μ and variance σ²/n, where Wi's are independent normal random variables with a common variance σ².

When you sum up independent normal random variables (W_i's), the resulting distribution (W) will also be normal.

The mean (μ) of the resulting distribution is the sum of the means of the individual Wi's divided by n, and the variance is the sum of the variances of the individual Wi's divided by n². Since Wi's have a common variance σ², the variance of W is σ²/n. Therefore, W follows a normal distribution with mean μ and variance σ²/n.

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Answer:

610m²

Step-by-step explanation:

183/5 × 50/3

= 61×10

= 610m²

The variable represents the number of visitors to the website, which is a countable value. Studying the number of visitors to a website during a 24-hour period would most likely involve a quantitative type of variable.

This is because the number of visitors can be measured and expressed as numerical values. Quantitative variables can be further classified as either continuous or discrete. In this case, the number of visitors is discrete because it can only take on whole numbers. It cannot be fractional or continuous. It is important to determine the type of variable in research studies as it affects the type of statistical analysis that can be used to analyze the data. By knowing that the number of visitors is a quantitative variable, researchers can choose appropriate statistical tests to analyze the data accurately.

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Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

In inferential statistics, before administering an independent variable, means from each group in the study are assumed to be equal or similar.

In inferential statistics, researchers often compare groups to determine whether there are significant differences between them. Before administering an independent variable, which is a variable that is manipulated by the researcher, it is generally assumed that the means of each group are equal or similar. This assumption allows for a fair and unbiased comparison between groups. By assuming equal means, researchers can then analyze the data using statistical tests to determine if there are significant differences between the groups after administering the independent variable.

The assumption of equal means serves as a starting point for hypothesis testing and helps researchers assess the impact of the independent variable on the dependent variable. If there were already significant differences in means before administering the independent variable, it would be difficult to attribute any observed differences solely to the independent variable. Therefore, assuming equal means before the manipulation of the independent variable ensures that any subsequent differences can be more confidently attributed to the variable being tested. This assumption allows researchers to draw valid conclusions and make informed decisions based on the results of their statistical analyses.

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For the interval 0 ≤ x ≤ 1, the average rate of change is 4 and As x gets larger, we can see that the average rate of change is also increasing.

What is the exponential function?

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

To find the average rate of change of a function over an interval, we need to calculate the difference between the function values at the endpoints of the interval and divide it by the length of the interval.

For example, for the interval 0 ≤ x ≤ 1, the average rate of change is:

(f(1) - f(0)) / (1 - 0) = (8 - 4) / 1 = 4

Using this method, we can find the average rate of change for each of the given intervals:

(a) 0 ≤ x ≤ 1: (f(1) - f(0)) / (1 - 0) = (8 - 4) / 1 = 4

(b) 1 ≤ x ≤ 2: (f(2) - f(1)) / (2 - 1) = (16 - 8) / 1 = 8

(c) 2 < x < 3: (f(3) - f(2)) / (3 - 2) = (32 - 16) / 1 = 16

(d) 3 ≤ x ≤ 4: (f(4) - f(3)) / (4 - 3) = (64 - 32) / 1 = 32

As x gets larger, we can see that the average rate of change is also increasing.

This is because the function is an exponential function with a base greater than 1 (2 in this case), and exponential functions with bases greater than 1 grow faster and faster as x increases.

Hence, for the interval 0 ≤ x ≤ 1, the average rate of change is 4 and As x gets larger, we can see that the average rate of change is also increasing.

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Hello !

\(\frac{25}{100}=0.25\)

Have a nice day ;)

Answer:

25

Step-by-step explanation:

25

Answer: 25% of 100 is 25.

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-2x + y = 0

5x + 3y = -11

Step 2: Rewrite Systems

-2x + y = 0

Step 3: Redefine Systems

y = 2x

5x + 3y = -11

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph Systems

Check the solution set.

Answer:

100

Step-by-step explanation:

use distance formula

These probabilities are obtained by standardizing the values using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

(a) The probability that X is less than 49 in a normal distribution with μ=51 and σ=8 is approximately 0.0062, or 0.62%.

(b) The probability that X is between 49 and 50.5 in the same normal distribution is approximately 0.1499, or 14.99%.

(a) To find the probability that X is less than 49 in a normal distribution with μ=51 and σ=8, we need to calculate the cumulative probability using the standard normal distribution table or a calculator. Using either method, we find that the probability is approximately 0.0062, or 0.62%.

(b) Similarly, to find the probability that X is between 49 and 50.5, we calculate the difference between the cumulative probabilities of 50.5 and 49. Using the standard normal distribution table or a calculator, we find that the probability is approximately 0.1499, or 14.99%.

These probabilities are obtained by standardizing the values using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. By looking up the standardized values in the standard normal distribution table, we can determine the corresponding probabilities.

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Answer:

3/4x=12

3=4x*12

3=48x

3/48x=1/16

x=1/16

Answer:

278.4 dollars

Step-by-step explanation:

So you know that each month is 29.00 dollars

You mutilpy that by 12 to find out the total cost for paying each month

That would be 348 dollars

So if you pay upfront that takes 20 percent off

So you take the 348 and take 20 percent off

That would be 69.6

So then to find the amount saved you subtract 69.6 from 348

Which would be 278.4 dollars

They saved 278.4 dollars

Answer:

\(Pr = 0.66\)

Step-by-step explanation:

Given

See attachment for complete question

Required

\(P(x \ge 5)\)

From the attachment, we have:

\(S = 2 + 8 + 4+20+21+19+17+5+2+2\)

\(S =100\) ---- the sample size

Next, we list out all outcomes more than or equal to 5.

i.e.

\(x \ge 5\)

5 is represented with the vertical blue rectangle (with frequency 21).

So, the other elements are to the right of frequency 21.

So, we have:

\(x \ge 5 = 21+19+17+5+2+2\)

\(x \ge 5 = 66\)

The probability is then calculated as:

\(Pr = \frac{x \ge 5}{S}\)

This gives

\(Pr = \frac{66}{100}\)

\(Pr = 0.66\)