43) a survey was given asking whether they watch movies at home from netflix, redbox, or a video store. use the results to determine how many people use redbox.

The statement that best describes the sampling distribution of sample means is normal with a mean of 625 and a standard deviation of 4.45. So, correct option is A.

The sampling distribution of sample means is the distribution of all possible sample means that could be obtained from a population of a given size. The Central Limit Theorem (CLT) states that if the sample size is sufficiently large (usually n > 30), the sampling distribution of sample means will be approximately normal, regardless of the distribution of the population.

In this case, the population is the distribution of SAT math scores of students taking Calculus I with a mean of 625 and a standard deviation of 44.5. If random samples of 100 students are repeatedly taken, the sampling distribution of sample means will also be normal due to the CLT.

The mean of the sampling distribution of sample means will be the same as the population mean of 625, while the standard deviation of the sampling distribution of sample means will be the population standard deviation divided by the square root of the sample size, which is 44.5/√100 = 4.45.

Therefore, correct option is A.

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Answer: 7

Step-by-step explanation:

7 is a prime number

Answer:

7

Step-by-step explanation:

7 can't be divisible by anything but 1 and itself. All the other numbers can. Except 0. 0 isn't defined as a prime or composite number.

I hope this helps!

Answer:

4 red swets

Step-by-step explanation:

2 + 1 = 3 (Total units of both red and blue sweets)

3 units = 12

1 unit = 12 ÷ 3 = 4

Since red sweets has only 1 unit, there are 4 red sweets out of 12 sweets.

The number of red sweets is 4.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

ratio of blue to red sweets in a packet is 2:1.

let the common ratio be x

Number if blue sweets be 2x

and number of red sweets be x.

Total sweets = 12

So, 2x+ x = 12

3x= 12

x= 4

Hence, the number of red sweets is 4.

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Answer:

Step-by-step explanation:

\(\rm\large\blue{\underline{Given:-}}\)

◉ First four term of a sequence 11,22,44,88...

\(\rm\large\blue{\underline{To\:Find:}}\)

◉ Ninth term of the sequence.

\(\Large\texttt\red{\underline{Required\:Solution:}}\)

Now first we have to continue the sequence.

11, 22, 44, 88, 176, 352, 704, 1408,

2816, 5632.......

─━─━─━─━─━─━─━─━─━─━─━─

The value of $\sin 2a$ is $\frac{35}{39}$. To find $\sin 2a$, we first need to determine the measure of angle $a$.

Since we are given that the area of the right triangle $abc$ is $4$ and the hypotenuse $\overline{ab}$ is $12$, we can use the formula for the area of a right triangle to find the lengths of the two legs.

The formula for the area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Given that the area is $4$, we have $\frac{1}{2} \times \text{base} \times \text{height} = 4$. Since it's a right triangle, the base and height are the two legs of the triangle. Let's call the base $b$ and the height $h$.

We can rewrite the equation as $\frac{1}{2} \times b \times h = 4$.

Since the hypotenuse is $12$, we can use the Pythagorean theorem to relate $b$, $h$, and $12$. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So we have $b^2 + h^2 = 12^2 = 144$.

Now we have two equations:

$\frac{1}{2} \times b \times h = 4$

$b^2 + h^2 = 144$

From the first equation, we can express $h$ in terms of $b$ as $h = \frac{8}{b}$.

Substituting this expression into the second equation, we get $b^2 + \left(\frac{8}{b}\right)^2 = 144$.

Simplifying the equation, we have $b^4 - 144b^2 + 64 = 0$.

Solving this quadratic equation, we find two values for $b$: $b = 4$ or $b = 8$.

Considering the triangle, we discard the value $b = 8$ since it would make the hypotenuse longer than $12$, which is not possible.

So, we conclude that $b = 4$.

Now, we can find the value of $h$ using $h = \frac{8}{b} = \frac{8}{4} = 2$.

Therefore, the legs of the triangle are $4$ and $2$, and we can calculate the sine of angle $a$ as $\sin a = \frac{2}{12} = \frac{1}{6}$.

To find $\sin 2a$, we can use the double-angle formula for sine: $\sin 2a = 2 \sin a \cos a$.

Since we have the value of $\sin a$, we need to find the value of $\cos a$. Using the Pythagorean identity $\sin^2 a + \cos^2 a = 1$, we have $\cos a = \sqrt{1 - \sin^2 a} = \sqrt{1 - \left(\frac{1}{6}\right)^2} = \frac{\sqrt{35}}{6}$.

Finally, we can calculate $\sin 2a = 2 \sin a \cos a = 2 \cdot \frac{1}{6} \cdot \frac{\sqrt{35}}{6} = \frac{35}{39}$.

Therefore, $\sin 2

a = \frac{35}{39}$.

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As per the unitary method, Laura hit three golf balls, which means her brother hit the remaining three golf balls.

Let's start by figuring out how many balls Laura hit. We know that she hit half of the total balls, so we can represent that as a fraction:

Laura's hits = 1/2 of total hits

Here, the value of one unit is the number of balls hit by Laura. So, we can write:

1/2 of total hits = Laura's hits

To find the total hits, we need to multiply both sides of the equation by 2:

1/2 of total hits x 2 = Laura's hits x 2

Simplifying the left-hand side gives us:

1 x total hits = 2 x Laura's hits

Now, we can substitute the value we know for Laura's hits, which is 1/2 of the total hits:

1 x total hits = 2 x (1/2) x total hits

Simplifying the right-hand side gives us:

1 x total hits = 1 x total hits

This tells us that the total hits are equal to the total hits! But we still don't know how many balls Laura's brother hit.

However, we do know that the total hits were six. So we can write:

1 x 6 = 2 x Laura's hits

Simplifying the right-hand side gives us:

6 = 2 x Laura's hits

To find the value of Laura's hits, we need to isolate the variable on one side of the equation. We can do that by dividing both sides by 2:

6/2 = 2 x Laura's hits/2

Simplifying the left-hand side gives us:

3 = Laura's hits

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Complete Question:

Laura and her brother hit six golf balls. If Laura hits half of the total balls, then how many balls were hit by her brother?

Using permutation there are 116,280 potential combinations of 4 employees that might go to the 4 conferences.

The number of selections possible for the first problem, where 4 employees are selected to participate in specialized training from a group of 20 employees, can be found using the combination formula:

C(20, 4) = 20! / (4! × (20 - 4)!) = 4845

Therefore, there are 4845 possible selections of 4 employees for the specialized training program.

For the second problem, we need to select 4 employees to attend 4 different conferences.

The order of selection matters, since each employee, will be attending a different conference.

Therefore, we need to use the permutation formula:

P(20, 4) = 20! / (20 - 4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116280

Therefore, there are 116,280 possible selections of 4 employees to attend the 4 different conferences.

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Tickets are sold by airlines based on availability and demand. To increase their amount of earnings, they consider things like flight capacity, the time of year that people travel, the number of tickets available, and pricing.

Tickets are sold by airlines based on availability and demand. To choose the best course of action for their firm, they carefully analyse variables including aeroplane capacity, travel season, seat availability, and cost. Airlines assess the current market and forecast future trends using sophisticated mathematical models. This aids them in figuring out the ideal quantity of tickets to market and the finest selling price. To make sure that their tickets are reasonably priced, airlines also take into account the demand for their flights and the competition from other airlines. In order to make their tickets appealing to customers, airlines may consider promotional activities and unique offers. Airlines may increase their revenue by selling tickets at the proper price by studying the data and making wise judgements.

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The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

The formula to calculate the expected loss is given by the following formula: Expected Loss = Σ (Loss Amount * Probability of Loss)To calculate the expected loss, we need to first multiply the loss amount with the probability of loss, and then add the products.

a. $0 .30Loss amount, X = $0Probability of loss, P(X) = 0.30Expected loss = 0 * 0.3 = $0b. $120 .50Loss amount, X = $120Probability of loss, P(X) = 0.50Expected loss = 120 * 0.5 = $60c. $200 .20Loss amount, X = $200Probability of loss, P(X) = 0.20Expected loss = 200 * 0.2 = $40, the expected loss for the given probabilities of various losses is $0 for a), $60 for b) and $40 for c). The total expected loss would be the sum of all expected losses i.e. $100.

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The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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i hope have been useful buddy.

good luck ♥️♥️♥️♥️♥️

Answer:

a

Step-by-step explanation:

the answer is a i took the test

Step-by-step explanation:

Answer:

letter c.po sagot diyan

The equation of the line is y = 2/3x + 2

What is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

Slope between two points

m = (y2 - y1)/(x2 - x1)

   = (2 - (-2)) / (-3 - (-6))

   = 4 / 6

   = 2/3

y - y1 = m (x - x1)

y - (-2) = 2/3 (x - (-6))  

y + 2 = 2/3(x+6)

y = 2/3x +4 - 2

y = 2/3x + 2

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

He gained 31 pound in four months

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The value of the function (f - g)(x) is given as -

(f - g)(x) =  4x³ + 7x² - 6x + 1.

The given functions are -

f(x) = 4x³ +7x² - 2x - 1

g(x) = 4x - 2

We can write the function (f - g)(x) as -

(f - g)(x) = f(x) - g(x)

(f - g)(x) = 4x³ + 7x² - 2x - 1 - (4x - 2)

(f - g)(x) = 4x³ + 7x² - 2x - 1 - 4x + 2

(f - g)(x) =  4x³ + 7x² - 6x + 1

Therefore, the value of the function (f - g)(x) is given as -

(f - g)(x) =  4x³ + 7x² - 6x + 1.

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Answer:

sometimes. exterior angle of a triangle is equal to the sum two remote interior angles. But in a special case when the adjacent angle is equal to the remote interior angle, it is true

sometimes. Only when the isosceles triangle is equilateral

always. This is always true by definition.

There are 252 distinct ways to dispatch the taxis to the three airports.

We need to find the number of distinct ways in which we can dispatch the taxis to the three airports, given that two taxis go to airport A, six go to airport B, and one goes to airport C.

First, we choose two taxis out of nine to send to airport A. This can be done in C(9, 2) = 36 ways.

Next, we choose six taxis out of the remaining seven to send to airport B. This can be done in C(7, 6) = 7 ways.

Finally, the last taxi is sent to airport C.

Therefore, the total number of distinct ways to dispatch the taxis is:

C(9, 2) x C(7, 6) = 36 x 7 = 252

There are 252 distinct ways to dispatch the taxis to the three airports.

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Answer:

3,18    4,27

Step-by-step explanation:

Answer:

4:18 and 6:27

Step-by-step explanation:

Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.

2/9*2=4/18

2/9*3=3/27

Considering the surface area of the spherical ballon, it will take 7 seconds for the the balloon to fully inflate.

The surface area of a sphere of radius r is given by:

\(S = 4\pi r^2\)

In this problem, the surface area is of \(784\pi\) cm², hence the radius in cm is found as follows:

\(784\pi = 4\pi r^2\)

\(4r^2 = 784\)

\(r^2 = \frac{784}{4}\)

\(r^2 = 196\)

\(r = \sqrt{196}\)

r = 14 cm.

The radius start at 0 cm, inflating at a rate of 2 cm/s, hence it will take 7 seconds for the the balloon to fully inflate, as 14 cm/(2 cm/s) = 7 s.

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The null space of A is spanned by the vector x = (t, -t, -t, -t), where t is a real number

Vectors are an important mathematical tool for representing data, equations, and other mathematical objects. In this problem, we are given a matrix A and asked to find a non-zero vector x in the null space of A.

The matrix A = | | 1-1-1-1 | can be reduced to row-echelon form using row operations. The resulting matrix is A = | | 1 0 0 0 | , which has a single non-zero row, indicating that the null space of A is one-dimensional.

Therefore, the non-zero vector x in the null space of A can be written as x = (t, -t, -t, -t), where t is a real number.

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The x-coordinates range from -5 to 25, and the y-coordinates range from -4 to 5.

To choose appropriate scales for the coordinate plane, first, observe the range of x and y coordinates for the given points J(20, 3), K(25, 3), L(15, -3), M(-5, 5), and N(-5, -4).
The x-coordinates range from -5 to 25, and the y-coordinates range from -4 to 5.
For the x-axis, we can use a scale of 5 units for each grid square.

This scale will allow us to cover the entire range of x-coordinates.

The grid will have 6 squares in the positive x-direction and 2 squares in the negative x-direction.
For the y-axis, we can use a scale of 1 unit for each grid square.

This scale will allow us to cover the entire range of y-coordinates.

The grid will have 5 squares in the positive y-direction and 4 squares in the negative y-direction.
In summary, use a scale of 5 units for each grid square on the x-axis, and a scale of 1 unit for each grid square on the y-axis.

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The distance between the boat and the lighthouse is 47,29, 47,29, 47,29 kilometers.

An equation is a mathematical statement containing two algebraic expressions flanked by equal signs (=) on either side.

It shows that the relationship between the left and right printed expressions is equal.

All formulas hav LHS = RHS (left side = right side).

You can solve equations to determine the values ​​of unknown variables that represent unknown quantities.

If a statement does not have an equals sign, it is not an equation. A mathematical statement called an equation contains the symbol "equal to" between two expressions of equal value.

According to our question-

tano = perpendicular/base

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Answer: the slope is m = 4/3

Answer:

£13.5.

Step-by-step explanation:

Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.

The total amount of money that Asha and Julie recieve is £36

i.e.

2x+6x = 36

8x = 36

x = (36/8)

Amount recieved by Brendon,

\(B=3\times \dfrac{36}{8}\\\\=\$13.5\)

So, the amount of money that brendon receives is £13.5.

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

refer to the attached image

The value of the give expression is, 6260/8591

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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