X=1-y, 6x+5y=11 using substitution method

Answer:

4.666667

Step-by-step explanation:

Answer:

You cant simply it.

Step-by-step explanation:

14/3 is the simplest version of 14/3. If you were looking for decimal form its 4.666667

A cylindrical tank standing upright has radius 20cm. If the water is being drained at rate  25 cm³/s the tank level drops at rate 0.02 cm/s.

Recall the formula for the volume of a cylinder:

V = πr². h

Where:

r = radius of the base

h = height of the cylinder

Take the derivative with respect to t

dV/dt = πr². dh/dt

Substitute dV/dt = 25 cm³/s and r = 20 cm:

25 = π x 20² x dh/dt

dh/dt = 25 / (400π) = 0.02 cm/s

Therefore, the level of the cylindrical tank drops at rate 0.02 cm/s

Complete question:

A cylindrical tank standing upright has radius 20cm. How fast does the water level in the tank drop when the water is being drained at 25 cm³/s?

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The proportion of variation explained by the model is called the coefficient of determination, also denoted as R-squared.

It is a statistical measure that represents the percentage of the variance in the dependent variable that is explained by the independent variable(s) in the regression model. In other words, it measures the goodness of fit of the regression line to the observed data points. The coefficient of determination ranges from 0 to 1, where 0 indicates that the model does not explain any of the variance in the dependent variable, and 1 indicates that the model explains all of the variance in the dependent variable. The coefficient of determination is often used in regression analysis to evaluate the predictive power of the model and to compare the fit of different models.

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Answer:

B

Step-by-step explanation:

The two decision while performing hypothesis, these are -

an assertion on a population's makeup. Frequently, a population parameter is used to express it. A statistical hypothesis that is to be tested is known as a null hypothesis.

Alternative hypothesis: A hypothesis that differs from the null hypothesis.

In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.

These claims list certain factors as well as their suggested outcomes. Cavities arise as a result of the variable in this case, which is the sugar intake.

The decisions are -

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The sampling distribution of the mean for samples of size 39 has a mean of 64 inches and a standard deviation of approximately 0.496 inches.

We are required to determine the sampling distribution of the mean for samples of size 39, given that the heights of people in a certain population are normally distributed with a mean of 64 inches and a standard deviation of 3.1 inches.

The sampling distribution of the mean is also normally distributed. To find the mean and standard deviation of the sampling distribution, you'll use the following formulas:

1. Mean of the sampling distribution (μx) = Mean of the population (μ)

2. Standard deviation of the sampling distribution (σx) = Standard deviation of the population (σ) divided by the square root of the sample size (n)

Applying these formulas:

1. μx = μ = 64 inches

2. σx = σ / √n = 3.1 inches / √39 ≈ 0.496

So, the mean is 64 inches and a standard deviation is approximately 0.496 inches.

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n = 0.9702. Rounding up to the nearest whole number, we get a minimum sample size of n = 1.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To calculate the minimum sample size needed to estimate the population mean ad price within a specified margin of error, we can use the following formula:

n = ((z*σ)/E)²

Where:

n = sample size

z = the z-score associated with the desired confidence level (in this case, 1.645 for 90% confidence)

σ = population standard deviation (0.6 in this case)

E = the desired margin of error (1 dollar in this case)

Plugging in the values, we get:

n = ((1.645*0.6)/1)²

n = 0.985²

n = 0.9702

Rounding up to the nearest whole number, we get a minimum sample size of n = 1.

Note that this result seems counterintuitive, as it suggests that only one ad needs to be surveyed to estimate the population mean within a dollar with 90% confidence. However, this is because the formula assumes that the population is normally distributed, which may not be the case for ad prices. In practice, it is generally a good idea to survey a larger sample size to ensure more accurate estimates.

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If the equilibrium constant (K) < 1 , then, the Gibbs free energy change(ΔG) is positive. So, option D is correct alternative.

The relative concentrations of reactants and products in a chemical reaction are gauged by the equilibrium constant (K), which is the case in this case. Typical chemical reactions are as follows:

aA + bB ⇌ cC + dD

The equilibrium constant is defined as:

\(K = \frac{[C]^c[D]^d }{ [A]^a[B]^b}\)

Where [A], [B], [C], and [D] are the molar concentrations of reactants and products at equilibrium, and a, b, c, and d are the stoichiometric coefficients of the balanced chemical equation.

The Gibbs free energy change (ΔG) is a measure of the amount of energy available to do useful work during a chemical reaction.

The following equation describes the relationship between the equilibrium constant (K) and the change in the Gibbs free energy (ΔG):

ΔG = -RTln(K)

Where R is the gas constant and T is the temperature.

If K < 1, then ln(K) is negative. So, to make the right-hand side of the equation negative, ΔG must be positive.

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Answer: 80

Step-by-step explanation: 8/10

Answer:

Step-by-step explanation:

Remark

The way the sides of the figure are marked (they are marked as being equal.), the figure is a rhombus.

<96 and <2 + <1 are supplementary.

<1 = <2 because the diagonal bisects the angle it is connected to

Call <1 = <2 = x

96 + x + x = 180

96                 96          Subtract 96 from both sides

          2x     =84          Divide by 2

          2x/2 = 84/2

           x = 42

<1 = 42

<2 = 42

Now because opposite angles in a rhombus are equal, the diagonal will make <3 and <4 =  <2  + <1

<3 = 42

<4 = 42

The number of distinct telephone numbers possible given the restriction is 800,000.

Given that :

For the first digit, there are 8 options available (digits 0-6 and 9, excluding 7 and 8).

For the remaining five digits (second to sixth), there are 10 options available for each digit (digits 0-9).

Therefore, the total number of distinct telephone numbers possible can be calculated by multiplying the number of options for each digit:

Total number of distinct telephone numbers = 8 * 10 * 10 * 10 * 10 * 10 = 8 * 10⁵ = 800,000

Hence, there are 800,000 distinct telephone numbers possible in this country.

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The dimensions for which the printed area is maximized are 16.432 × 10.954 in².

let the height of the poster = x inches

area of the poster = 180 in²

thus, its width is 180/x inches.

The printed area has a height of x - 3 inches due to the 1-inch bottom margin and 2-inch top margin.

The sides have a margin of 1 inch, so the width of the printed area is:

180/x - 2

the area of printed area A is given by the formula of a rectangle,

A = height × width

A = (x-3)(180/x - 2)

A = 180 - 2x - 540/x + 6

the maximized area is when dA/dx = 0

dA/dx = - 2 - 540(- 1/x²) = 0

540/x² = 2

x = √270

hence height = √270 = 16.432 inches,

and width = 180/√270 = 10.954 inches.

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Answer:

I this that its the third graph

Answer:

17/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2/3p + 3

p = 3/5

Step 2: Evaluate

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

☆...hope this helps...☆

_♡_mashi_♡_

the answer

155

324

5/9 (87/3(1/12)= 155/324

b) φ^(-1)(0.5) = 4 and it tells us that at t = 4 nanoseconds, there will be 0.5 nanograms of extract A remaining. This represents the inverse relationship between the amount of extract A remaining and time.

(c) False. Based on the given facts, there is no specific time mentioned when the amount of extract A remaining is exactly 4 nanograms. The known data points do not include φ(t) = 4.

(d) To calculate φ(φ^(-1)(1)), we substitute φ^(-1)(1) into the function φ. Since φ^(-1)(1) = 3, we evaluate φ(3). The result is φ(3) = 1, which means that at t = 3 nanoseconds, there will be 1 nanogram of extract A remaining.

(e) To calculate φ^(-1)(φ(6)), we substitute φ(6) into the inverse function φ^(-1). Since φ(6) = 0, we evaluate φ^(-1)(0). The result is φ^(-1)(0) = 10, indicating that at t = 10 nanoseconds, there will be 0 nanograms (or none) of extract A remaining.

(f) The domain of the function φ is the set of possible values for time t, which can range from 0 to a positive value, based on the experiment's time frame. The range of the function φ is the set of possible values for the amount of extract A remaining, which can range from 0 to 6 nanograms, based on the given facts.

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Answer:

-1.4f - 24

Step-by-step explanation:

hope this helps <3

Answer:

-1.4f - 24

Step-by-step explanation:

Answer: the answer is 12

Step-by-step explanation: trust me

The LCM of 2,3, and 4 is 12.

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.

The given numbers are 2,3 and 4.

The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.

The lowest number that can be divisible by 2,3 and 4 is 12.

Therefore, the LCM of 2,3, and 4 is 12.

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Answer with Explanation: We need to find the probability of obtaining the red and tails when the two are flipped at the same time:

The probability of the red and tails or P(Red and Tails) is as follows:

Conclusion: Therefore the probability is (1/4) or 25%.

There is no point on the curve where the tangent line is parallel to y=2x-3.

a) Using the formula for the derivative of functions of the form f(x)=x^n, we can find the derivative of g(x)=4/x as:

g'(x) = -4/x^2

b) To evaluate g'(3), we substitute x=3 into the formula we found in part a) to get:

g'(3) = -4/3^2 = -4/9

c) To find the equation of the line tangent to g(x)=4/x at x=1, we first find the slope of the tangent line using the derivative we found in part a):

m = g'(1) = -4/1^2 = -4

Next, we use the point-slope form of the equation of a line, using the point (1,4) on the curve and the slope we just found:

y - 4 = -4(x - 1)

Simplifying, we get:

y = -4x + 8

So the equation of the tangent line to g(x)=4/x at x=1 is y=-4x+8.

d) To find the point on the graph of g(x)=4/x where the tangent line is parallel to the line y=2x-3, we first note that two lines are parallel if and only if they have the same slope. So we want to find a point on the curve where the derivative (i.e., slope of the tangent line) is equal to 2.

We set g'(x) equal to 2 and solve for x:

2 = -4/x^2

x^2 = -2

But this equation has no real solutions, so there is no point on the curve where the tangent line is parallel to y=2x-3.

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Answer:

zero

Step-by-step explanation:

the additive inverse of 15 is -15 so the sum is zero

Answer: The sum Is zero, explanation below

Step-by-step explanation:

The Addictive inverse of a number is its opposite so for example the addictive inverse of   12 is -12   or   x is -x so the equation would be

15 + -15

making your answer zero :D

SHEEEESSSHHHH

Sample mean of 2.4% or higher is somewhat unlikely to occur by chance alone, and may indicate that the true mean childhood asthma prevalence in the sampled cities is higher than the Population mean of 2.16%.

We can use the Central Limit Theorem (CLT), which states that the sample mean of a sufficiently large sample size from a population with any distribution will be approximately normally distributed. The mean of the sampling distribution of the sample mean will be the same as the population mean, and the standard deviation of the sampling distribution of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

In this problem, we are given that the population standard deviation sigma is 1.27%, the population mean mu is 2.16%, and the sample size n is 34. Therefore, the standard error of the sample mean is:

standard error = sigma / sqrt(n) = 1.27% / sqrt(34) = 0.218%

The probability that the sample mean is greater than 2.4%, we need to standardize the sample mean using the formula:

z = (x - mu) / standard error

where x is the sample mean. Substituting the given values, we get:

z = (2.4% - 2.16%) / 0.218% = 1.10

Using a standard normal table or calculator, we find that the probability of a standard normal random variable being greater than 1.10 is approximately 0.1379. Therefore, the probability that the sample mean is greater than 2.4% is 0.1379, or about 13.79%.

Interpreting this probability, we can say that if we take many random samples of size 34 from the population of 43 cities and compute the sample mean for each sample, about 13.79% of these sample means will be greater than 2.4%. This suggests that a sample mean of 2.4% or higher is somewhat unlikely to occur by chance alone, and may indicate that the true mean childhood asthma prevalence in the sampled cities is higher than the population mean of 2.16%.

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To find the value of "a", we assumed that the total area under the density function is equal to 1, since this is a continuous probability distribution. The value of "a" that satisfies the conditions is a = ∛(5) ≈ 1.71.  

The integral of the density function over its entire domain should be equal to 1:

∫[1,a] x^3 dx = 1

Using the power rule of integration:

[1/4 x^4]_1^a = 1

Substituting the limits of integration and simplifying:

1/4 a^4 - 1/4(1)^4 = 1

1/4 a^4 - 1/4 = 1

1/4 a^4 = 5/4

a^4 = 5

Taking the fourth root of both sides:

a = ∛(5)

Therefore, the value of "a" that satisfies the conditions is a = ∛(5) ≈ 1.71.

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Answer:

12 meters

Step-by-step explanation:

Area of square = 144 Sq m

\(side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m\)

In thsi question, the confidence coefficient when the level of significance is 0.03 is C. 0.9700.

In statistics, the confidence coefficient is the complement of the level of significance (α) used in hypothesis testing. The confidence coefficient represents the confidence level or the degree of certainty associated with a confidence interval.

The level of significance, denoted by α, is the probability of rejecting the null hypothesis when it is true. It is typically chosen before conducting a statistical test and determines the critical value or the cutoff point for decision-making.

To find the confidence coefficient, we subtract the level of significance from 1. In this case, the level of significance is 0.03. Subtracting 0.03 from 1 gives us a confidence coefficient of 0.97, which can be written as 0.9700 when rounded to four decimal places.

Therefore, the correct answer is C. 0.9700, which represents the confidence coefficient when the level of significance is 0.03.

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Answer: B

Step-by-step explanation:

the formula for area of a triangle is base times height divided by 2

to get the base do 12.3 x 2 = 24.6

24.6 x 25.6 = 629.76

629.76/2 = 314.88

the answer would be B

(sorry for saying the answer was A at first, i forgot to find the full base)

Answer:

B. 314.9m

Step-by-step explanation:

First, let's take a look at the formula of a triangle.

A=\(\frac{1}{2}\)(b * h) ALSO WRITTEN AS- A= \(\frac{(b*h)}{2}\).

So, as you can see, there is only half the base provided. To get the other half, just multiply it by 2. You get 24.6m as the base.

The height is provided. It's 25.6m. Plug in your base and height values and slove.

A=\(\frac{24.6m * 25.6m}{2}\)

A= \(\frac{629.76}{2}\)

A= 314.88m

You then round to the nearest tenth.

The final answer is A=314.9m.

Answer:

C

Step-by-step explanation:

The graph passes through \((-2,-5)\) but not \((2,5)\).

The line is steep, and has a slope of more than 1.