Who good at angles ?

The correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

The measure of the variability of the sample means, also known as the standard error of the mean, can be calculated using the formula:

Standard Error of the Mean (SE) = σ / √(n)

sigma is the population standard deviation,

n is the sample size.

The standard error of the mean represents the variability or dispersion of the sample means obtained from repeated samples of size n from a population. It indicates how much the sample means are likely to differ from the true population mean.

The smaller the standard error of the mean, the less variability is expected among the sample means, indicating a more precise estimate of the population mean.

Therefore, the correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

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Given question is incomplete, the complete question is below

A measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is

a. s

b. σ/√(n)

c. s/√(n)

d. σ

Answer:

The set is (5, 6]

Step-by-step explanation:

Ok, let's see the different possibles notations to describe sets.

If we want to describe a discrete set, we use {}

Like in the set:

{1, 2, 3}

That set only contains the numbers 1, 2, and 3.

If we want to describe a continuous set that does not include the extremes, we use ()

For example:

(1, 3)

Contains all the numbers between 1 and 3, but does not include 1 and 3.

If we want to include the extremes, we need to use []

[1, 3]

This set is all the numbers between 1 and 3, including the values 1 and 3.

And we can mix these last two notations, so if we want a set that includes all the numbers between 5 and 6, not including 5 but including 6, we need to write:

(5, 6]

Answer:

$46.19

Step-by-step explanation:

The equation where y is the price of the ticket with the coupon, and x is the original price of the ticket.

y= 0.55 x.

Given:

A movie theater sends out a coupon for 45% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket.

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 45% of this price:

y= x -0.45 x

By association: y= (1-0.45) x

and then y= 0.55 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Hence we get the required equation.

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The scale factor used to create the dilation is 3

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

comparing the two images it can be seen that dimensions ABCD is a square hence change in one side will equal for all sides

using side BC = 1 unit, B'C' = 3 Units, this shows a maginification of 3 hence the scale factor is 3

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The volume of Ganymede is approximately 3.48 times the volume of the Moon, based on the given diameters of the two moons and the formula for the volume of a sphere.

The volume of a sphere is the amount of space occupied by the sphere in three-dimensional space. It can be calculated using the formula V = (4/3)πr³, where V is the volume of the sphere, r is the radius of the sphere, and π (pi) is a mathematical constant approximately equal to 3.14159. This formula states that the volume of a sphere is four-thirds of the product of pi and the cube of the sphere's radius.

In the given question,

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. Since we are given the diameters of the two moons, we can calculate their radii by dividing the diameters by 2. Therefore, the radius of Ganymede is 3,388/2 = 1,694 km, and the radius of the Moon is 1,245/2 = 622.5 km.

Now, we can calculate the volumes of the two moons:

V_Ganymede = (4/3)π(1694)³ ≈ 7.66 x 10^10 km³

V_Moon = (4/3)π(622.5)³ ≈ 2.2 x 10^10 km³

To find how many times larger Ganymede's volume is compared to the Moon's volume, we can divide the volume of Ganymede by the volume of the Moon:

V_Ganymede / V_Moon ≈ (7.66 x 10¹⁰) / (2.2 x 10¹⁰) ≈ 3.48

Therefore, the volume of Ganymede is approximately 3.48 times the volume of the Moon.

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The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.

The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06

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Answer: 20 nickels to make $2.00

Step-by-step explanation:

Answer:

5x = 200

x=40

Step-by-step explanation:

Step-by-step explanation:

1. The number to the right of 0 is 16.

2. The number that is the least is -15.

3. -15 is smaller than 0 than -9 is.

Presumably you mean 555 as a number in base 10.

We have

555 = 5 • (100 + 10 + 1)

… = 5 • (4 • 25 + 2 • 5 + 1)

… = 5 • (4 • 5² + 2 • 5¹ + 1 • 5⁰)

… = 4 • 5³ + 2 • 5² + 1 • 5¹

… = 4210₅

Answer:

500

Step-by-step explanation:

Answer:

1.5 divided by .3 divided by .01 is 500

To solve the equation in part a and determine the mystery weight, we used the following properties of equality:

Addition property: This property states that if we add the same number to both sides of an equation, the equality is preserved. In this case, we added 23 grams to both sides of the equation to isolate the variable.

Subtraction property: This property states that if we subtract the same number from both sides of an equation, the equality is preserved. In this case, we subtracted 8 grams from both sides of the equation to isolate the variable.

Multiplication property: This property states that if we multiply both sides of an equation by the same number, the equality is preserved. In this case, we multiplied both sides of the equation by 3 to isolate the variable.

Division property: This property states that if we divide both sides of an equation by the same number (excluding 0), the equality is preserved. In this case, we divided both sides of the equation by 2 to isolate the variable.

By using these properties of equality, we were able to manipulate the equation and isolate the variable to determine the mystery weight.

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The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

The normal curve with a mean (μ) of 50 and a standard deviation (σ) of 6 is shown below. To find the probability of the random variable being greater than 55 (P(X > 55)), we need to calculate the area under the curve to the right of 55. This shaded area represents the probability.

The normal curve, also known as the Gaussian curve or bell curve, is a symmetrical probability distribution. It is characterized by its mean (μ) and standard deviation (σ), which determine its shape and location. In this case, the mean is 50 (μ = 50) and the standard deviation is 6 (σ = 6).

To find the probability of the random variable being greater than 55 (P(X > 55)), we calculate the area under the normal curve to the right of 55. Since the normal curve is symmetrical, the area to the left of the mean is 0.5 or 50%.

To calculate the probability, we need to standardize the value 55 using the z-score formula: z = (X - μ) / σ. Plugging in the values, we get z = (55 - 50) / 6 = 5/6. Using a z-table or statistical software, we can find the corresponding area under the curve for this z-value. This area represents the probability of the random variable being less than 55 (P(X < 55)).

However, we are interested in the probability of the random variable being greater than 55 (P(X > 55)). To find this, we subtract the area to the left of 55 from 1 (the total area under the curve). Mathematically, P(X > 55) = 1 - P(X < 55). By referring to the z-table or using software, we can find the area to the left of 55 and subtract it from 1 to obtain the shaded area representing the probability of the random variable being greater than 55.

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Suppose 4000 is invested for 4 years and 8 months at 3.83% compounded annually. Then the compound interest is:

\($4000(1+0.0383)^(4+8/12)= $4,903.26.\)

Now suppose the same amount could be invested for the same term at 3.79% compounded daily. Then assume the same amount could also be invested for the same term at 3.79% compounded.

daily. Which investment would earn more interest.

\($4000(1+0.0379/365)^(365*4+8)= $4,904.45.\)The difference in the amount of interest would be:

\($4,904.45 - $4,903.26 = $1.19.\)

Hence, the difference in the amount of interest is

1.19.

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The charge enclosed by the cylinder is simply equal to the total charge Q on the surface of the cylinder.

If the charge is only on one surface of the cylinder, then we can assume that the charge is uniformly distributed on that surface. Let's denote the surface charge density by σ.

The charge enclosed by the cylinder is given by qenc = σA, where A is the cross-sectional area of the cylinder.

We are not given the surface charge density σ, but we can relate it to the total charge Q on the surface of the cylinder as follows:

Q = σA

We can solve for σ to get:

σ = Q/A

Substituting this expression for σ into our equation for qenc, we get:

qenc = σA = (Q/A)A = Q

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The probability that a bottle passes inspection and does not have a flaw is 0.9598067.

Let P(f) = 0.0002 be the probability of a bottle having a flaw, and P(s|f) = 0.993 be the probability of a bottle failing the inspection given that it has a flaw. Also, let P(s|~f) = 0.96 be the probability of a bottle passing the inspection given that it does not have a flaw. We want to find P(~f|s).

We can use Bayes' Theorem to find P(~f|s):

P(~f|s) = P(s|~f) * P(~f) / P(s)

P(s) = P(s|f) * P(f) + P(s|~f) * P(~f)

P(s) = 0.993 * 0.0002 + 0.96 * (1 - 0.0002)

P(s) = 0.0001986

P(~f|s) = 0.96 * (1 - 0.0002) / 0.0001986

P(~f|s) = 0.9598067

Therefore, the probability that a bottle passes inspection and does not have a flaw is 0.9598067.

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Answer:

for me the answer was c not sure if you will get it correct but again the answer for me was C

Step-by-step explanation:

Answer:

See the attached table.

Step-by-step explanation:

Each row, column, and diagonal all add up to six.

\(\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right]\)

Hope that helps!

Answer:

*

Step-by-step explanation:

9  -5  -4   6

-2   4   3    1

2   0  -1   5

-3    7   8  -6

1. The polynomial 9x² - 16 is in the form of ax² + c. Therefore, the value of ac is (9)(-16) = -144.

2. The coefficient of the x-term in the polynomial 9x² - 16 is 0. Therefore, the value of b is 0.

3. Two numbers that multiply to get ac = -144 and add to get b = 0 are 12 and -12.

4. The factored form of 9x² - 16 is (3x + 4)(3x - 4).

What are the multipliers?

3. We need to find two numbers that multiply to get ac = -144 and add to get b = 0. Let's find the prime factorization of ac = -144:

-144 = -1 × \(2^{4}\) × 3²

We need to choose two factors whose product is -144 and whose sum is 0. Since the product is negative, one factor must be positive and the other negative. Also, since the sum is 0, the absolute values of the two factors must be equal. The only pair of factors that satisfies these conditions is 12 and -12. Indeed, 12 × (-12) = -144 and 12 + (-12) = 0.

What is factored form?

4. The factored form is a way of representing a polynomial expression as the product of its factors. The factored form of a polynomial is important in algebraic calculations and is often used to solve equations. For example, the factored form of the quadratic expression ax² + bx + c is (mx + n)(px + q), where m, n, p, and q are constants.

the factored form of 9x² - 16 can be found using the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, a = 3x and b = 4. Therefore:

9x² - 16 = (3x)² - 4²

= (3x + 4)(3x - 4)

Thus, the factored form of 9x² - 16 is (3x + 4)(3x - 4).

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If polynomial 9x2 - 16 then the factored form of 9x² - 16 is (3x-4)(3x+4).

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

In the polynomial 9x² - 16, a = 9 and c = -16. Therefore, the product of a and c is ac = 9*(-16) = -144.

In the polynomial 9x² - 16, b is the coefficient of the x term, which is 0. Therefore, b = 0.

To find two numbers that multiply to get ac and add to get b, we need to find two factors of -144 that add up to 0. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. The factors that add up to 0 are -9 and 16. Therefore, ac = -144, b = 0, and the two numbers that multiply to get ac and add to get b are -9 and 16.

The factored form of 9x² - 16 is (3x-4)(3x+4). We can check this by expanding the expression using the distributive property:

(3x-4)(3x+4) = 9x² + 12x - 12x - 16

= 9x² - 16

Therefore, the factored form of 9x² - 16 is (3x-4)(3x+4).

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Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

4 square units will be the area of the largest rectangle.

Given,

First, let's build a rectangle ABCD, where A is the point at the bottom right corner and B,C, and D are the points designated in accordance with A.

Now,

Let A = (p, 0)

B = (-p, 0)

C = (-p, 3 - p²)

D = (p, 3 - p²)

Then the area of rectangle is given as: BA×AD

= 2p × 3 - p²

A = 6p - 2p³

Taking the derivative with respect to p, we have

A' = 6 - 6p²

Now,

A' =0

⇒ 6 - 6p² = 0

⇒ 6p² = 6

⇒ p² = 1

Since, we have to find the greater area, therefore we will take p = 1.

Now, substituting the value of p in (A), we have

Greater area = A= 6 - 2 x 1 = 4 square units

Therefore,

The  area of the largest rectangle should be 4 square units.

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Question is incomplete. Completed question is given below;

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 − x2?

The surface area of the cube for the given side length of 12 inches using the formula S = 6s² is equal to 864 square inches.

To find the surface area of a cube with a side length of 12 inches using the formula S = 6s²,

where S represents the surface area and s represents the side length,

Substitute the given value into the formula,

S = 6s²

⇒S = 6 × (12 inches)²

⇒ S = 6 × 144 square inches

⇒ S = 864 square inches

Therefore, the surface area of the cube is 864 square inches.

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The above question is incomplete , the complete question is:

A small refrigerator Is a cube with a side length of 12 Inches. Use the formula S = 6s² to find the surface area of the cube in square inches.

To solve the integral of 1/sqrt(x^2 - a^2) dx, we can use the substitution method. Let u = x^2 - a^2, then du/dx = 2x, and dx = du/2x.
Substituting into the integral, we get:

∫ 1/sqrt(x^2 - a^2) dx = ∫ 1/sqrt(u) * du/2x
= (1/2) ∫ 1/sqrt(u) du  

= (1/2) * 2sqrt(u) + C
= sqrt(x^2 - a^2) + C

Therefore, the answer to the integral of 1/sqrt(x^2 - a^2) dx is sqrt(x^2 - a^2) + C, where C is the constant of integration.

In summary, the integral of 1/sqrt(x^2 - a^2) dx can be solved using the substitution method, where u = x^2 - a^2. The final answer is sqrt(x^2 - a^2) + C, where C is the constant of integration.

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The integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

What is intergration?

Integration is a fundamental concept in calculus that involves finding the antiderivative or integral of a function. It is the reverse process of differentiation, which is concerned with finding the derivative of a function.

To find the integral of \(1/\sqrt(x^2 - a^2) dx\), we can use a trigonometric substitution. Let's substitute \(x = a sec(\theta)\), where \(sec(\theta)\) is the reciprocal of the cosine function.

By making this substitution, we can express dx in terms of \(d(\theta)\) as follows:

\(dx = a sec(\theta) tan(\theta) d(\theta)\)

Now, let's substitute these values into the integral:

\(\int \frac{1}{\sqrt{x^2 - a^2}} dx\\\\= \int \frac{1}{\sqrt{(a \sec(theta))^2 - a^2}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\sec^2(theta) - 1)}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\tan^2(theta))}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{a \tan(theta)} (a \sec(\theta) \tan(\theta)) d(\theta)\)

Simplifying the expression, we have:

\(= \int \sec(\theta) d(\theta)\)

The integral of \(sec(\theta)\) can be evaluated as the natural logarithm of the absolute value of \(sec(\theta)\) plus the tangent\((\theta)\):

\(= \ln|\sec(\theta) + \tan(\theta)| + C\)

Finally, substituting back \(x = a sec(\theta)\), we get:

\(= \ln|\sec(\theta) + \tan(\theta)| + C\\\\= \ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\)

Therefore, the integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

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Answer:

The answers and steps are in the picture

(t) = 326millions. The logistic model for the US population would be:

P(t) = 800 / (1 + e^(-k(t-2000)))

Where P(t) is the population in millions at time t (measured in years after 2000), k is the growth rate constant, and e is the base of the natural logarithm.

Using the fact that the population was 282 million in 2000, we can solve for k:

282 = 800 / (1 + e^(-k(0-2000)))
282(1 + e^(-k(2000))) = 800
1 + e^(-k(2000)) = 2.83687943
e^(-k(2000)) = 1.83687943
-k(2000) = ln(1.83687943)
k = -ln(1.83687943) / 2000
k ≈ 0.0071

Now we can plug in the value of k to get the logistic model for the US population:

P(t) = 800 / (1 + e^(-0.0071(t-2000)))

So, for example, the population in 2020 (t = 20) would be:

P(20) = 800 / (1 + e^(-0.0071(20-2000))) ≈ 326 million

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who climbs the rock wall is 4.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The total number of students in the class is 48, out of these 48 students, 24 students choose to play volleyball. Therefore, the remaining students are 24 (48-24).

Students remaining after volleyball

  = Total number of students - Number of students who play volleyball

  = 48 - 24 = 24

Now, The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets. Therefore, the teacher divides the remaining 24 students into 4 groups of 5 people. After this, the number of students that are remaining is 4(24-20).

Students remaining after basketball

  = Total number of students - Number of students who shoot basketball

  = 24 - (4x5)

  = 24 - 20 = 4

Further, the remaining students go for climbing the rock wall.

Hence, the number of students who climbs the rock wall is 4.

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Answer:

We can not see all the graphs, so i will just do a graph of the system of inequalities, and you can select the option that matches it.

We have the system:

y ≥ 2x + 1

(to represent this, we need to have a solid line y = 2x + 1, and shade all the region above this)

y ≤ 2x - 2

(to represent this, we need to have a solid line y = 2x - 2, and shade all the region below this)

The graph of this system is shown below:

Answer:

1/2

Step-by-step explanation:

12 + 6 = 18

18 + 4 + 2 = 24

12/24 = 1/2

1/2 of her party guests are cousins.

Hope this helps!