A number is doubled and then 3 is subtracted. This gives the same result as if the numbers were quadrupled. What is the number?

The mean for the random variable X is 0.8 and The variance for the random variable X is 0.672.

In this case, we have a binomial distribution with n=5 trials and a success probability of p=0.16 for each trial (the probability of corrosion).

The following formula gives the mean or expected value of the binomial distribution:

μ = np

Putting the given values, we get:

μ = 5 × 0.16 = 0.8

Therefore, the mean for the random variable X is 0.8.

The variance of the binomial distribution is given by the formula:

\(\sigma^2\) = np(1-p)

Putting the given values, we get:

\(\sigma^2\) = 5 × 0.16 × (1-0.16) = 0.672

Hence, the variance for the random variable X is 0.672.

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Answer:

irrational

Step-by-step explanation:

The Correct choices are :

Answer:

I'm sorry can't help but edit it to a question

Step-by-step explanation:

:) ello

Answer:

4x+12

Step-by-step explanation:

4(x+3)²/x+3=4x+12

The total capacity of the bank is 40 customers per hour.

Given, we have 4 tellers in a bank and each teller takes 6 minutes to server 1 customer. We can calculate how many customers 1 teller serves  in 1 hour by Unitary Method :

⇒ 6 mins = 1 customer

Taking 6 to Right hand side of the equation:

⇒ 1 min = (1/6) customer

∴ In 60 mins = (1/6) x 60 customers

⇒ 10 customers

Hence, 1 teller can serve 10 customers in an hour (60 mins).

Now, the bank has a total of 4 tellers, we can simply find the total capacity of the bank by multiplying the the number of customers served by 1 teller in an hour by 4.

Therefore, total capacity of the bank is  : 4 x 10 = 40 customers per hour.

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Answer:

y=1/2x

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

sorry if wrong

Answer:

\(V=90\)

Step-by-step explanation:

Step 1:  Find the volume of the cone

\(V = \frac{\pi *r^{2}*h}{3}\)

Plug in the values

\(V = \frac{\pi *3^{2}*10}{3}\)

Simplify and Solve

\(V = \frac{\pi *9*10}{3}\)

\(V = \frac{90\pi }{3}\)

\(V = \frac{90*3 }{3}\)

\(V=90\)

Answer:  \(V=90\)

The coordinates of the point B are (-5, 6)

The given parameters are

A = (-8, 6)

Point = (2, 6)

Proportion = 2/3

Because the y coordinates are the same, we can make use of only the x coordinate

So, we have

Point = Proportion * (B - A)

This gives

2 = 2/3 * (B + 8)

Multiply through by 3/2

So, we have

3 = B + 8

Subtract 8 from both sides

B = -5

Hence, the coordinates of the point B are (-5, 6)

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Answer:

parent function is the simplest form of the type of function given.

The transformation from the first equation to the second one can be found by finding , , and for each equation.

Find , , and for .

Find , , and for .

The horizontal shift depends on the value of . The horizontal shift is described as:

- The graph is shifted to the left units.

- The graph is shifted to the right units.

Horizontal Shift: None

The vertical shift depends on the value of . The vertical shift is described as:

- The graph is shifted up units.

- The graph is shifted down units.

Vertical Shift: None

The sign of describes the reflection across the x-

The McNemar's Test can be thought of as the chi-square type equivalent to the paired t-test.

The McNemar's Test is a non-parametric statistical method used to analyze the differences between paired or matched categorical data, such as repeated measurements on a single group. Like the paired t-test, which is used to compare continuous data, the McNemar's Test evaluates the changes in the proportions of success or failure between the paired observations.

This test is particularly useful when dealing with small sample sizes or when the assumptions of normality and homogeneity of variances required for the paired t-test are not met. By using the chi-square distribution, McNemar's Test provides a way to determine the significance of the differences between paired categorical data, while accounting for the dependency between the observations.

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An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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Los números irracionales son aquellos números que no pueden expresarse como una fracción o una razón exacta de dos enteros. Por lo tanto, no es posible formar un conjunto completo de números irracionales utilizando un número finito de dígitos.

Los números irracionales son aquellos que no se pueden expresar como una fracción exacta. Estos números son infinitos y no periódicos en su representación decimal. Ejemplos comunes de números irracionales son π (pi) y √2 (raíz cuadrada de 2).

Para justificar que existen infinitos números irracionales, podemos utilizar una prueba por contradicción. Supongamos que existe un conjunto finito de números irracionales, es decir, que podemos listar todos los números irracionales posibles.

Tomemos el número más grande de esta lista y añadámosle 1. Este nuevo número no estaría en la lista original, pero seguiría siendo irracional.

Por lo tanto, hemos encontrado un número irracional adicional que no estaba en la lista original, lo que contradice nuestra suposición de que la lista era completa. Esto demuestra que no puede existir un conjunto finito de números irracionales y que, por lo tanto, existen infinitos números irracionales.

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Answer:

3x(4x-1)

Step-by-step explanation:

factor out 3x from the expression

3x (4x-1)

Answer:

125%

Step-by-step explanation:

Divide 346.25 by 277

you get 1.25

multiply it by 100

Answer:

25%

Step-by-step explanation:

This is calculated this way:

$346.25/$277 = 1.25

Then subtract 1, because that part represents what Tessa had to start with. That leaves

0.25

That decimal equals 25%, and that is the answer.

Answer:

i think it is rise run :)

Step-by-step explanation:

To find the angle between the vectors u = (-5, -4) and v = (-3, 0), we can use the dot product formula and the properties of vectors. By calculating the dot product of the vectors and using the formula θ = arccos((u·v) / (||u|| ||v||)), we can determine the angle between the vectors.

The dot product of two vectors u and v is given by:

u · v = ||u|| ||v|| cos(θ)

We are given that (u, v) = 3.

Using the formula for the dot product, we can express it as:

(u, v) = -5 * (-3) + (-4) * 0 = 15

Also, we can calculate the magnitudes of the vectors:

||u|| = √\(((-5)^2 + (-4)^2)\) = √(25 + 16) = √41

||v|| = √\(((-3)^2 + 0^2)\) = √9 = 3

Substituting these values into the formula for the angle θ, we have:

θ = arccos((u·v) / (||u|| ||v||)) = arccos(15 / (√41 * 3))

Evaluating this expression, we find that the angle between the vectors u and v are approximately 0.41 radians when rounded to two decimal places.

Therefore, the angle between the vectors u = (-5, -4) and v = (-3, 0) is approximately 0.41 radians.

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Answer:

500 ÷ 80=x

Step-by-step explanation:

If the school environment science club has $500 of funds and it cost $80 divide 500 and 80 and it should give you your answer.

Answer:

Step-by-step explanation:

To find x, you first need to find the length of the base. The total length of the base is 8, so the length of the base for one triangle is 4 meaning 8/2

Pythagoras theorem = \(a^2 + b^2 = c^2\)

In this case, a will be 4 and c will be 5. Remember that c will always be the longest side of a right-angle triangle.  

\(5^2 + x^2 = 4^2 \\25 +x^2 = 16 \\x^2 = 25 -16 \\x^2 = 9 \\x \sqrt{9}\\ x = 3\)

The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).

The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.

Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.

To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.

Let X be the number of correct answers. Then, we have:

P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)

= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.

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From the given information provided, by using sample variance formula, there are 6 scores in the sample.

Sample variance is a measure of the variability or spread of a set of data points in a sample. It is calculated as the sum of squared deviations from the sample mean, divided by the sample size minus one.

We can use the formula for the sample variance to relate the sample size (n), sum of squares (SS), and sample variance (s^2):

s² = SS / (n - 1)

Substituting the given values, we get:

4 = 20 / (n - 1)

Multiplying both sides by (n - 1), we get:

4(n - 1) = 20

Simplifying, we get:

4n - 4 = 20

4n = 24

n = 6

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Answer and Step-by-step explanation:

Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.

So, do 400 divided by 20 to get the length, as length times width equals the area.

400 divided by 20 = 20.

The length of the room is 20 ft. (meaning the room is a perfect square.

#teamtrees #PAW (Plant And Water)

The Area of the Faces are:

Face A: 93.5 square inches

Face B: 93.5 square inches

Face C: 46.75 square inches

Face D: 46.75 square inches

Face E: 93.5 square inches

Face F: 93.5 square inches

Face A:

Since the dimensions of the base sheet are 8.5 inches by 11 inches, the area of Face A is:

Face A = 8.5 inches x 11 inches

= 93.5 square inches

Face B:

Since the dimensions of the whole sheet are 8.5 inches by 11 inches, the area of Face B is:

Face B = 8.5 inches x 11 inches

= 93.5 square inches

Face C:

Since the dimensions of the half sheet are 8.5 inches by 5.5 inches (half of 11 inches), the area of Face C is:

Face C = 8.5 inches x 5.5 inches

= 46.75 square inches

Face D:

It has the same dimensions as Face C, so the area is also:

Face D = 8.5 inches x 5.5 inches = 46.75 square inches

Face E:

They have the same dimensions as the whole sheet, so the area of Face E is:

Face E = 8.5 inches x 11 inches = 93.5 square inches

Face F: This is the top face of the prism, which is the same as Face B. So the area of Face F is also:

Face F = 8.5 inches x 11 inches = 93.5 square inches

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Answer:

1/3

Step-by-step explanation:

There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.

Answer:

b. 40m+0.25=25m+0.45

Step-by-step explanation:

Step one:

given data

First Rate Rental

Charges $40 a day plus $0.25 per mile.

let the number of days be m

and the total charges be y

y= 40+0.25m---------------------1

Star Rental

charges $25 a  day plus $0.45 per mile.

y= 25+0.45m-----------------------2

Step two:

equate 1 and 2 above we have

40+0.25m= 25+0.45m

The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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The value of the cube root \(343x^9y^{12}z^6\) is \(7x^3y^4z^2\)

A number's cube root is a quantity that when multiplied by itself three or more times, returns the original quantity. The cube root of 27, represented as 327, for instance, is 3 because 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can state that the cube root yields a value that is essentially cubed. Thus, 27 is referred to as the ideal cube. We may deduce what the cube's root is from the word "cube root." It denotes the integer that brought about the cube under the root.

The cube root 0f  \(343x^9y^{12}z^6\)

\(\sqrt[3]{343x^9y^{12}z^6} \\\sqrt[3]{(7x^3y^4z^2)^3} \\\\\\7x^3y^4z^2\)

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By using the definition of continuity and exploiting the fact that f(0) = 1, we were able to prove the existence of an open interval (a, b) containing 0 such that for any real number r within this interval, the function value f(r) is greater than 0.

First, let's recall the definition of continuity at a point. A function f is continuous at a point c if, for any positive number ε, there exists a positive number δ such that whenever x is within δ of c, the value of f(x) will be within ε of f(c).

Now, since f is continuous at 0, we can say that for any positive ε, there exists a positive δ such that if |x - 0| < δ, then |f(x) - f(0)| < ε.

Since f(0) = 1, the above inequality simplifies to |f(x) - 1| < ε.

We want to find an open interval (a, b) containing 0 such that for any r within this interval, f(r) > 0. Let's consider ε = 1 as an arbitrary positive number.

From the definition of continuity at 0, we can find a positive δ such that if |x - 0| < δ, then |f(x) - 1| < 1. This implies -1 < f(x) - 1 < 1, which further simplifies to 0 < f(x) < 2.

Now, consider the interval (a, b) = (-δ, δ). Since δ is positive, it ensures that 0 is within this interval. Also, since f(x) is continuous on this interval, we can conclude that f(r) > 0 for all r within (-δ, δ).

To prove this, let's take any r within (-δ, δ). Since r is within this interval, we have -δ < r < δ, which implies |r - 0| < δ. By the definition of continuity at 0, we know that |f(r) - 1| < 1. Therefore, 0 < f(r) < 2, and we can conclude that f(r) > 0.

Hence, we have shown that there exists an open interval (a, b) containing 0 such that for all r within this interval, f(r) > 0.

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