Please help me with this math problem!

b. Total Sample = 300 college students

The question is asking how many people were in the sample of 300 college students that were asked if they were interested in playing video games. The answer is option B: 300.

To answer this question, we must first understand the context of the question. It is asking about the number of English-speaking people on the planet who want to play a new kind of online video game. To answer this, 300 college students were asked if they were interested in playing video games. Of those 300 students, 100 said yes, and 20 of those students preferred this new game to an existing game that is widely used. Therefore, the sample size was 300.

The sample size is 300 college students. From the 300 college students, 100 said yes to playing video games. Of these 100, 20 preferred the new game to an existing game. Therefore, the sample size is 300 college students.

Total Sample = 300

No. of Yes = 100

No. of Prefers new game = 20

So, Total Sample = 300 college students

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The correct expression for the exact distance between the two boys: 1000√2 m

The correct answer is an option (D)

Consider following diagram.

In right triangle ABC, AB represents the distance covered by the Marco and AC represents the distance covered by the Ray.

AB = 1000 m

AC = 1000 m

We need to find the correct expression for the exact distance between the two boys.

i.e., we need to find the length of hypotenuse BC.

Using Pythagoras theorem for right triangle ABC,

BC² = AB² + AC²

BC² = 1000² + 1000²

BC² = 1000000 + 1000000

BC² = 2 × 1000000

BC = \(\sqrt{2\times 1000000}\)

BC = 1000√2 m

Therefore, the distance between the boys = 1000√2

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Answer:

7x - 3

Step-by-step explanation:

3x+(4x-3)

Remove parenthesis

3x + 4x - 3

Combine like terms

3x + 4x = 7x

7x - 3

Answer:

7x-3

Step-by-step explanation:

Removing the parantheses, we get 3x+4x-3. Adding like terms we get 7x-3.

7x-3.

Answer:

d. 540 deg

Step-by-step explanation:

2 pi radians = 360 deg

(360 deg)/(2pi rad) = 1

3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg

Answer:

An equation would be 24 - 14 = n. Another one you could write would be 14 + n = 24. The answer is 10 for the amount of old trees.

Therefore, () r(t) = 4 - 8t evaluated at \(t=0\) is 4, at \(t=1\) is -4, and at \(t=4\)is -28.

To evaluate the dot product ()r(t), we first need to find the coordinates of the vector :

() = ⟨2, -2, 4⟩

Then we can substitute the coordinates of r(t) into the dot product formula:

\(()r(t) = (2t^2 - 2 - 2t^2, -2t^2 - 2t^3, 4 - 6t) ⋅ ⟨2, -2, 4⟩\)

Simplifying this expression yields:

\(()r(t) = 4 - 8t\)

To evaluate () r(t) at different values of t, we substitute those values into the expression we just derived:

\(() r(0) = 4 - 8(0) = 4\)

\(() r(1) = 4 - 8(1) = -4\)

\(() r(4) = 4 - 8(4) = -28\)

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After applying the substitution u = 4x + π to the integral ∫π0 sin(4x + π)dx,  the new limits of integration are from u = π to u = 5π. To determine this, we need to use the original limits.

To find the new limits of integration, we need to substitute the original limits into the equation u = 4x + π and solve for the corresponding values of u.

For the lower limit of integration, x = 0, we substitute into the equation:

u = 4(0) + π

u = π

For the upper limit of integration, x = π, we substitute into the equation:

u = 4(π) + π

u = 5π

Therefore, after applying the substitution, the new limits of integration for the integral ∫π0 sin(4x + π)dx are from u = π to u = 5π.

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The distance between the school and the house is 1.6 miles.

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let the distance between the school and the house be x miles.

Given that:

Lisa:

Rate = 10mph

Time = t hours

Distance= x

According to distance formula we have:

x = 10 *t  [ equation 1]

Jen:

Rate = 4mph

Time = t hours

Distance= x-1 miles

According to the distance formula we have:

x-1 = 4*t [equation 2]

Substitute the value of equation 1 in equation 2 we have:

10t -1 = 4t

6t =1

t = \(\frac{1}{6}\)

Now substitute the value of t in equation 1.

\(x = 10 * \frac{1}{6}\)

x= 1.6 miles.

Hence the distance between the school and the house is 1.6 miles.

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So the average daily change in the price of the stock over the four days is -0.375.

To find the average daily change in the price of the stock over the four days, you need to add up the changes in price for each day and divide by the number of days.
The changes in price are:
Day 1: -0.125
Day 2: -0.625
Day 3: 0.375
Day 4: -1.125
To find the total change in price over the four days, add these together:
-0.125 + (-0.625) + 0.375 + (-1.125) = -1.5
Now divide the total change by the number of days:
-1.5 / 4 = -0.375
So the average daily change in the price of the stock over the four days is -0.375.
To find the average daily change in the stock price, you should add up the changes and then divide by the number of days. In this case, there are four days with changes of -0.125, -0.625, 0.375, and -1.125.
Step 1: Add the changes: (-0.125) + (-0.625) + 0.375 + (-1.125) = -1.5

Step 2: Divide by the number of days: -1.5 / 4 = -0.375
The average daily change in the stock price is -0.375.

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The correct analysis would be 3 option

Describe statistics using an example.

A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.

The right response is selection 3. To compare the means of two independent groups, use the independent samples t test. to determine whether there is a substantial difference between the means of the two groups. In this instance, we are comparing two different groups of people: those who work the night shift and those who work the day shift. By definition, these two groups of persons would differ, therefore neither a matched sample test nor a one-sample test would be appropriate. Furthermore, we are not interested in person's r, which is a measure of linear correlation between two variables.

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Answer:

A

Step-by-step explanation:

Answer:

Correct answer is: B: y ≤ 0

Step-by-step explanation:

Answer:

its linear and negative

The kernel of L(x) is the zero vector (0, 0, 0), and the range of L(x) is all of R^3.

To determine the kernel and range of the linear operator L(x) = (x^2, x, x), we need to find the solutions to

L(x) = 0 and examine the set of all possible outputs of L(x).

1. Kernel:
The kernel of a linear operator consists of all vectors x such that L(x) = 0. In other words, we need to find the values of x that make the equation (x^2, x, x) = (0, 0, 0) true.

Setting each component equal to zero, we have:
x^2 = 0
x = 0
x = 0

So, the kernel of L(x) is the set of all vectors of the form (0, 0, 0).

2. Range:
The range of a linear operator is the set of all possible outputs of L(x). In this case, the output is given by the equation L(x) = (x^2, x, x).

The range will include all possible vectors of the form (x^2, x, x) as x varies. Since x^2 can take any real value and x can also take any real value, the range of L(x) is all of R^3.

In conclusion, the kernel of L(x) is the zero vector (0, 0, 0), and the range of L(x) is all of R^3.

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Answer: y= x- 10

Step-by-step explanation:

Nothing further can be solved

The standard deviation of the sampling distribution is called the standard error of the mean, not the median. The standard error of the median is a different measure that is used to estimate the variability of the median of a sample.

When we take a sample from a population, the values of the sample statistics, such as the mean, median, standard deviation, etc., will vary from sample to sample. The distribution of the sample statistics is called the sampling distribution.

The standard deviation of the sampling distribution of the mean is called the standard error of the mean. It is a measure of the variability of the sample means from sample to sample.

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Answer:

it's answer is D

-6 , -1 ,4 , 9

Hope it will help :)❤

Step-by-step explanation:

3.

the left cup is the summary of 2 cylinders.

the right cup is just a cone.

the volume of a cone is

pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =

= 76.93 in³

the volume of a cylinder is

pi×r²×h

the first cylinder is

pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³

the second cylinder is

pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³

in total the cup has

42.39 + 28.26 = 70.65 in³

so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.

that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.

I have no idea on what scale you need to quantify the amount of water. I just guessed.

2.

here we need the surface area.

the object consists of a large prism (or block) and a cylinder.

we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.

we need 5 sides of the prism :

front and back

left and right

top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).

and the we need to add only the side wall of the cylinder the "mantle".

so,

front and back rectangles are 10×3 × 2 = 60 in²

left and right rectangles are 10×3 × 2 = 60 in²

the top rectangle (square) is 10×10 = 100 in²

the cylinder mantle is

circumference of the circle × height

2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²

so, in total we have

60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²

Answer:

Question 2: 320.48 in^2

Question 3: 6.28 in^3

Step-by-step explanation:

Question 2)

The question tells us that the shape will be covered in paint. This means that we need to find the surface area instead of volume. In the question, I’ll find the surface area of the two individual shapes (The cylinder and the rectangular prism) and take away parts that will not be covered in paint.

Rectangular Prism

1. ((10x10)+(10x3)+(10x3))x2 — All rectangular prisms have 2 sides with the same area. Since there are 6 sides total, all we need to do is find 3 sides of different sizes and multiply them by 2. The number we get is 320 in^2.

2. We will not be painting the bottom, so we can take the area of the bottom away. The area of the bottom is 10x10, which is 100. 320 - 100 is 220 in^2.

3. We are also not painting the area where the cylinder is touching the top (The circle-shaped area). The formula of finding the area of a circle is radius x radius x pi. Since the radius is 4 and pi can be rounded to 3.14, the area of the circle will be 4x4x3.14, which is 50.24 in^2. We can take that away from 220, so 220 - 20.24 is 169.76 in^2.

Cylinder

1. 4x4x3.14 — We know that one side of the cylinder (The base) will not be painted, so all we need to do is find the area of one of the bases. Radius x Radius x pi, in this case, is 50.24 in^2.

2. (((4+4)x3.14)x6) — Now we need to find the area of the side of the cylinder. The area of the side is base x height. The base length is the perimeter of the circle. The equation of the circle perimeter is (radius + radius) x pi. In numbers, it will be 8x3.14 which is 25.12. The height of the side is 6, so the equation will be 25.12 x 6, which is 150.72.

3. The surface area of the cylinder (excluding the base at the bottom) is 150.72 in^2.

Since the rectangular prism and the cylinder is stuck together and is considered as a whole, we add the two numbers together. 169.76 + 150.72 = 320.48 in^2!

Question 3)

The amount of water the cups can hold is the same size as the volume of individual cups. In order to find out the amount of water each cup can hold, we need to find the volume first.

Cup #1

1. (2x2x3.14)(2.25) — This is the base times the height of the bottom cylinder. The formula to find a circle is radius x radius x pi, and the height was 2.25. The volume of this shape will be 28.26 in^3.

2. (3x3x3.14)(1.5) — The area of the bottom is radius x radius x pi, and the height was 1.5 If we multiply all of these numbers together, we get 42.39 in^3.

3. Now that we found the two cylinders of the first cup, we can add them together. 28.26 + 42.39 = 70.65.

4. The area of cup #1 is 70.65 in^3.

Cup #2

1. (3.5 x 3.5 x 3.14)(6)(1/3) — The formula for finding the area of a cone is base x height x 1/3. The area of the base is radius x radius x pi, and the height is 6. Then we multiply by 1/3 (or divide by 3). Then, we get 76.93 in^3.

2. The volume of cup #2 is 76.93 in^3.

The question asks: How much more water will the larger cup hold?

Comparing 70.65 in^3 (First cup) and 76.93 in^3 (Second cup), we know that the second cup is bigger. To find the difference in the amount of water it can hold, we can subtract 70.65 from 76.93. This equals 6.28 in^3.

The final answer for Question 3 will be 6.28 in^3!

Answer:

11 is the median of the entire data set

6 is the median of the lower half and 16 is the median of the upper half data scores...

Subtract 16 from 6 gives 10 so the answer is C) 10

=============================================================

Explanation:

The first step is to sort the data from smallest to largest. Luckily, that's already been done for us.

Next, we find the median. This is the middle most number of the set. In this case, the median is 11 since we have 3 values below it (2,6,7) and 3 values above it (15,16,17).

Let

L = {2,6,7}

U = {15,16,17}

where L and U are the lower and upper sets respectively.

In other words, anything in set L is lower than the median while anything in set U is above the median. The median itself (11) is not part of either set.

Notice how 6 is the midpoint of set L, while 16 is the midpoint of set U.

This means Q1 = 6 and Q3 = 16

Therefore,

IQR = Q3 - Q1

IQR = 16 - 6

IQR = 10

which is why choice C is the final answer.

B. 1.3

Hope that helped:)

Answer:

Step-by-step explanation:

Rectangle:

length = l = 12 cm

Width = w = 0.8 cm

Use Pythagorean theorem to find the diagonal

Diagonal² =  l² + w²

                = 12² + 0.8²

                = 144 + 0.64

                = 144.64

Diagonal = √144.64 = 12.03 cm

Diagonal of square  = diagonal of rectangle

                               = 12.03 cm

To find the side of square again use Pythagorean theorem,

side² + side² = 12.03²

2 sides² = 144.64

  side² = 144.64/2

  side² = 72.32

 side = √72.32

Side = 8.50 cm

Answer:

Step-by-step explanation:

Use PEMDAS rules

In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.

3[ (15 - 3)² ÷ 4]  = 3[(12)² ÷ 4]   {Now find the square of 12}

                         = 3[144 ÷ 4]    {Now do division}

                         =3 * 36       {Finally multiplication}

                         = 108

The graph of the function \(y+3=\frac{5}{2}(x - 5)\) is attached below.

What is graph of the function?

In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

Consider the given function, \(y+3=\frac{5}{2}(x - 5)\)

It is in the form \(y-y_1=m(x-x_1)\)

Where,  \((x_1, y_1)\)is the point and m is the slope.

Graph passes through the point \((x_1, y_1)\) and having slope m.

Here, \((x_1, y_1) = (5, -3), m = \frac{5}{2}\)

Therefore, graph passes through the point (5, -3) and having slope 5/2.

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The statements that is always true or false given that  A is an n × n matrix are; A. True. B. True C. True, D. True

A. A stochastic matrix always has 1 as an eigenvalue, and the corresponding eigenvector forms a line, the 1-eigenspace. in other words, A stochastic matrix is a matrix whose rows sum to 1. This means that the sum of the elements in each row of A is equal to 1.

B. a stochastic matrix always has 1 as an eigenvalue. The eigenvalues of a matrix are the roots of its characteristic polynomial.

C. A positive stochastic matrix is a stochastic matrix whose entries are all non-negative. If A is a positive stochastic matrix, then repeated multiplication by A pushes each vector toward the 1-eigenspace.

D. For a square matrix, the eigenvalues of a matrix and its transpose are the same.

The above answer for D is based on the assumption that question D is

d. If A is a square matrix, then A and A^T must have the same eigenvalues.

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the absolute maximum shear stress developed in the beam is (3wL)/(4ht).

To determine the absolute maximum shear stress developed in the beam, we need to find the maximum shear force and the corresponding location of that force. Then we can use the given formula for shear stress to calculate the absolute maximum shear stress.

Assuming that we have a simply supported beam with a distributed load of w per unit length, the maximum shear force occurs at the supports and is equal to wL/2, where L is the span of the beam.

The maximum bending moment occurs at the center of the span and is equal to wL²/8. The corresponding maximum shear stress occurs at the top and bottom surfaces of the beam at this location.

The moment of inertia of the beam cross-section is given by I = (b*h³)/12, where b is the width of the beam and h is the height.

The first moment of area of the beam cross-section about the neutral axis is given by Q = (b*h²)/8.

Using the given formula for shear stress, we have:

Shear stress = (VQ)/(I*t)

where V is the shear force, t is the thickness of the beam, and I and Q are as defined above.

Substituting the maximum values, we have:

Shear stress = ((wL/2)((bh²)/8))/((bh³)/12t)

Simplifying this expression, we get:

Shear stress = (3wL)/(4ht)

Therefore, the absolute maximum shear stress developed in the beam is (3wL)/(4ht).

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The absolute maximum shear stress developed in the beam can be determined by calculating the shear force and the first moment of area of the cross-section of the beam, and then using the equation Shear stress = (V * Q) / (l * t).

To determine the absolute maximum shear stress developed in the beam, we need to calculate the shear force and the first moment of area of the cross-section of the beam.

Step 1: Calculate the shear force (V) acting on the beam. The shear force can be obtained from the given equation:

V = (Shear stress) * (lt) / Q

Step 2: Calculate the first moment of area (Q) of the cross-section of the beam. The first moment of area can be calculated using the formula:

Q = ∫y * dA

Step 3: Determine the location where the shear force is maximum. This can be done by analyzing the loading conditions and the geometry of the beam.

Step 4: Once the maximum shear force is determined, substitute the values of V, Q, l, and t into the equation for shear stress:

Shear stress = V * Q / (l * t)

By following these steps, you can determine the absolute maximum shear stress developed in the beam.

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Answer:

4,410

Step-by-step explanation:

So we can use the compound interest formula: \(A=P(1+\frac{r}{n})^{nt}\) where P = initial investment, r = interest rate (in decimal form), n = number of compounds in the time unit, t = time unit

But we don't really need to use this formula since it might just be a bit easier to understand what this compound interest means, it's also a bit easier since it's only annually.

So at a 5% compound annual interest compounded annually, this means that after every year the total amount has 5% added to it, or in other words the new amount is 105%

So after one year it's: \(1.05(4000)\), the next year the new amount is 105% of the previous year, or 5 percent more. So it's essentially: \(1.05(1.05(4000))\) which just simplifies to: \(4,410\)

We could've also used the formula where: \(n=1 \text{(only compounded once yearly)}\\t=2\\r=0.05\\P=4000\)

To get the formula: \(A=4000(1+\frac{0.05}{1})^{2*1}\\A=4000(1.05)^2\)

which is essentially the same thing and would've resulted in the same answer.

Answer: its 8t²

Step-by-step explanation:

Answer:

Sum = 8t²

Step-by-step explanation:

Let's solve the problem,

→ 4t² + 2 + 4t² - 2

→ (4t² + 4t²) + (-2 + 2)

→ 8t² + 0 = 8t²

Hence, the answer is 8t².

When we are not sure if the distribution of a population was normal, we use t-procedures. These procedures are safe in most conditions.

However, there is a situation where we would not be safe using a t-procedure that is if the stemplot of the data has a large outlier. Therefore, option A is correct.Let's look at the other options:B. The sample standard deviation is large: A large standard deviation would lead to large variation in the data and the sample mean might not be an accurate representation of the population mean. In this case, we can use the t-procedure to calculate the confidence interval for the population mean, but the interval may not be very precise. Therefore, this option does not make the t-procedure unsafe.C.

A histogram of the data shows moderate skewness: We use t-procedures when the population is not normally distributed. A histogram of the data showing moderate skewness indicates that the distribution may not be normal, but it does not make the t-procedure unsafe. Therefore, this option is incorrect.D. The mean and median of the data are nearly equal: The mean and median of a dataset being nearly equal is a characteristic of a normal distribution. So, it is not a reason to avoid using the t-procedure. Therefore, this option is incorrect.In summary, we would not be safe using a t-procedure if the stemplot of the data has a large outlier.

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