the student body of a large university consists of 60% female students. a random sample of 8 students is selected. what is the probability that among

Answer:

Sure, I can help you solve these problems using substitution. Let's start with problem 1:1. y=x+4 y=3x To solve this system of equations, we need to substitute one of the variables from one equation into the other equation. We can solve the second equation for y:y=3x Now we can substitute this expression for y into the first equation:y=x+4 3x=x+42x=4x=2 Now we can substitute this value for x into either equation to solve for y:y=x+4 y=2+4y=6 So the solution to this system of equations is x=2, y=6. You can follow the same procedure to solve the rest of the problems. 2. x=-2y+1 x-y=-53. y=x-7 2x+y=84. y=3x-6 -3x+y=-65. x+2y=200 x=y+506. 4x+3y=1 x=1-y Let me know if you need any further assistance.

In a simple linear regression analysis, the coefficient of correlation (also known as the Pearson correlation coefficient) measures the strength and direction of the linear relationship between the dependent variable and the independent variable.

A value of -0.933 indicates a strong negative correlation, meaning that as one variable increases, the other variable tends to decrease.

To determine the percentage of the total sum of squares that can be explained by using the estimated regression equation, we need to look at the coefficient of determination (R-squared). R-squared is the proportion of the variance in the dependent variable that is explained by the independent variable(s).

The square of the coefficient of correlation (r) gives us the R-squared value. Therefore, in this case, the R-squared value would be:

R-squared = (-0.933)^2 = 0.871

This means that 87.1% of the total sum of squares can be explained by using the estimated regression equation. The remaining 12.9% of the variation in the dependent variable is unexplained and is attributed to other factors that are not included in the model.

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Answer:

n=106

Step-by-step explanation:

Given  p = 0.5 and 1-p = q = 0.5Margin of error = 0.08  Confidence level = 90%  Z score for 90% confidence level =     1.65As we know -  Margin of error = z * Sqrt (pq/n)Substituting the given value, we get –  0.08 = 1.65 * Sqrt (0.5*0.5/n)Squaring both the sides and solving, we get  n = 1.65^2*0.5^2/0.08^2n = 106.34 = 106

Therefore, the wheel has made 8 complete revolutions after 8 seconds.So, the correct answer is option A) 8.

The given problem is about a wheel that is initially at rest, but then starts to turn with a constant angular acceleration. After four seconds, it has made four complete revolutions. The question asks us to find out how many revolutions it has made after eight seconds.The problem can be solved by using the formula for angular displacement. For a body moving with a constant angular acceleration, the angular displacement, θ can be given as,θ = ω1t + 1/2 α t²Where ω1 is the initial angular velocity and α is the angular acceleration of the body.

Substituting the given values, ω1 = 0 (since the wheel is initially at rest), α is unknown, and t = 4 seconds, we get the equation,[tex]θ = 1/2 α t² = 4 × 2π[/tex]revolutions (since the wheel has made four complete revolutions in four seconds)Solving for α,α = (8π) / (16) = π/2 rad/s²Now, to find out the number of revolutions made after eight seconds, we need to calculate the angular displacement after eight seconds.θ = [tex]ω1t + 1/2 α t²Here, ω1 = 0, α = π/2 rad/s²[/tex], and t = 8 seconds[tex].θ = 0 + 1/2 (π/2) (8)² = 8π[/tex] revolutions

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First, note that the degree of the polynomial is the highest power of x that appears in the expression. In this case, the degree is max(n, 5, m, 2).

Next, consider the leading coefficient of the polynomial, which is the coefficient of the term with the highest power of x. In this case, the leading coefficient is a.

Based on this information, here are some possible general shapes of the graph of y=f(x):

If n is even and a > 0, the graph of y=f(x) looks like a "U" shape, with both ends pointing upwards.

If n is even and a < 0, the graph of y=f(x) looks like an upside-down "U", with both ends pointing downwards.

If n is odd and a > 0, the graph of y=f(x) looks like a "v" shape, with the vertex pointing upwards.

If n is odd and a < 0, the graph of y=f(x) looks like an upside-down "v", with the vertex pointing downwards.

Note that these are just general shapes, and the actual graph could be modified by the other terms in the polynomial. Additionally, the values of b, c, d, and the constants could also affect the shape and behavior of the graph.

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Complete Question is : let f(x)=ax^n+bx^5+36/cx^m-dx^2+9 where m and n are integers and a,b,c and d are unknown constants. what is the possible graph of the function?

The airplane's average rate in calm air is 600 mph.

What is an average?

In mathematics, the average is a measure of the central tendency of a set of numerical values, which is computed by adding all the values in the set and dividing them by the total number of values. The average is also known as the mean, and it is one of the most commonly used measures of central tendency in statistics

Let's denote the airplane's average rate in calm air by x mph.

When the airplane is flying with the jetstream, its ground speed (speed relative to the ground) is x + 300 mph. We know that it can fly 3000 miles in the same amount of time it takes to fly 1000 miles against the jetstream, so we can set up the following equation:

3000 / (x + 300) = 1000 / (x - 300)

We can cross-multiply to simplify:

3000(x - 300) = 1000(x + 300)

Expanding the brackets gives:

3000x - 900000 = 1000x + 300000

Simplifying and rearranging terms gives:

2000x = 1200000

x = 600

Therefore, the airplane's average rate in calm air is 600 mph.

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Answer:

Step-by-step explanation:

Standard: 2x^3 - 7x^2 -x-2

Quotient: 2x^3- 7x^2 -x-2

remainder: 0

Answer:

The equivalent ratios are 2:5, 4:10, and 10:25

Step-by-step explanation:

2:5 * 2 = 4:10 and 2:5 * 5 = 10:25

Answer:

Factor 64h^3+216k^9

Step-by-step explanation:

The given expression is a sum of two terms:

[64h^3+216k^9

Notice that each term has a common factor. For the first term, the greatest common factor (GCF) is 64h^3, and for the second term, the GCF is 216k^9. So we can factor out these GCFs to get:

64h^3+216k^9 = 64h^3(1 + 3k^6)

This expression cannot be factored any further, so the final answer is:

64h^3+216k^9 = 64h^3(1 + 3k^6)

If you can, give me brainliest please!

Answer:

a) 1.4665787 × 10^7

b) 2.869 × 10^8

Step-by-step explanation:

Answer:

14,665,787 that's the answer for that question

The general solution to the given differential equation is y(t) = C * e^(3t).

To find the general solution to the inhomogeneous first-order linear differential equation y'(t) - 3y(t) = 0, follow these steps:

Step 1: Identify the homogeneous equation, which is y'(t) - 3y(t) = 0.

Step 2: Solve the homogeneous equation by finding the general solution. In this case, it is y_h(t) = C * e^(3t), where C is a constant.

Step 3: Identify the inhomogeneous part of the equation, which is missing in this case. Since the given equation is already homogeneous, there is no need to find a particular solution.

Step 4: Combine the homogeneous solution and the particular solution (if present) to form the general solution. In this case, the general solution is y(t) = y_h(t) = C * e^(3t).

So, the general solution to the given differential equation is y(t) = C * e^(3t).

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The most precise classification of the quadrilateral with opposite sides having the same slopes and consecutive sides having slopes that are reciprocals is a Rectangle.

1. Opposite sides with the same slopes imply that these sides are parallel.
2. Consecutive sides with slopes that are reciprocals mean that they are perpendicular.
3. Parallel opposite sides make the quadrilateral a parallelogram.
4. Perpendicular consecutive sides make it a rectangle, as all angles are 90 degrees.

So, the quadrilateral is a Rectangle.

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Answer: 580

Step-by-step explanation: i learned that just like 1 hour ago in school

Total volume of the composite figure using volume of cuboid formula is = 120ft³.

A cuboid's volume is a measurement of how much room it occupies. A three-dimensional shape with dimensions of length, breadth, and height is the cuboid. We can keep stacking them, starting with a rectangular sheet, until we achieve a shape with a particular length, breadth, and height.

The shape of this stack of sheets is a cuboid, which has 6 faces, 12 edges, and 8 vertices. The (unit)³ is used to represent a cuboid's volume.

In the given figure,

Length of cuboid = 6ft.

Breadth of cuboid = 3ft.

Height of cuboid = 5ft.

Length of second cuboid = 4ft.

Height of second cuboid = 5ft.

Breadth of second cuboid = 3ft.

Volume of first cuboid = length × breadth × height.

= 6 × 3 × 5

= 90ft³

Volume of second cuboid = 4 × 3 × 5

= 60ft³

Now the second cuboid is half.

So, volume becomes = 60/2

= 30ft³.

So, total volume of the figure = 90 + 30 = 120ft³.

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Answer:

25 and 22

Step-by-step explanation:

The probability density of the two patterns  at 0.4 and 0.6,  for one nearest-neighbour is 0.6

Given two patterns at 0.4 and 0.6, the probability density of these patterns can be estimated analytically using a rectangular window of width 0.3, a triangular window of width 0.3, and one nearest-neighbour.

Probability density can be calculated using the following formula: [tex]$p(x)=\frac{n}{aN}$[/tex] where n is the number of samples that fall in the window centered at x, a is the window's width, and N is the total number of samples.

For the rectangular window of width 0.3, the probability density can be calculated as the sum of the two rectangular windows multiplied by 0.3, giving a probability density of 0.6.

For the triangular window of width 0.3, the probability density can be calculated as the sum of the two triangular windows multiplied by 0.3, giving a probability density of 0.45.

Finally, for one nearest-neighbour, the probability density is the maximum of the two patterns, which in this case is 0.6.

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The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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The following phrase can be used to calculate the total amount of kilometre that Roland's family travelled: 2 30/100 plus 4 6/10 equals 69/10 kilometres.

The distance from house to the gas station and the distance from the gas station to the store must be added in order to calculate the total number of kilometre driven by Roland's family.

The distance between their house and the petrol station is 4 6/10 kilometres, which can also be expressed using an incorrect fraction as follows:

4 6/10 = (4 × 10 + 6) / 10 = 46/10

The distance between the petrol station and the store can be expressed as 2 30/100 kilometres, which can be written as follows:

2 30/100 = (2 × 100 + 30) / 100 = 230/100

We sum the two distances to get the total distance travelled:

46/10 + 230/100

We must identify a common denominator in order to add these fractions. Both 10 and 100 can be divided into only one single digit, which is 100. Hence, using 100 as the common denominator, we can rewrite the expression as follows:

(46/10) * (10/10) + (230/100) * (1/1)

That amounts to:

460/100 + 230/100 = 690/100

So, by dividing the numerator and denominator by their 10 greatest common factor, we may reduce this fraction:

690/100 = (690 ÷ 10) / (100 ÷ 10) = 69/10

As a result, the following phrase may be used to calculate the total amount of kilometres driven by Roland's family:

2 30/100 plus 4 6/10 equals 69/10 kilometres.

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The measure of the larger acute angle of the triangle can be calculated using trigonometric ratios or by subtracting the measure of the smaller acute angle from 90 degrees. Without further information or given measurements, it is not possible to determine the exact measure of the angle.

Let's consider the general formula for a right triangle where A, B, and C are the angles and a, b, and c are the corresponding sides opposite to each angle:

sin A = a/c, sin B = b/c, and sin C = a/b.

For an acute triangle, we know that the sum of all the angles is equal to 180 degrees, so A + B + C = 180. If the triangle is a right triangle, then one of the angles, say C, is equal to 90 degrees, and A + B = 90 degrees.

In this case, we are only given that the angles of the triangle are acute. Therefore, we can use the formula sin A = a/c, sin B = b/c and sin C = a/b to solve for the angles or use the fact that A + B + C = 180 degrees and A + B = 90 degrees to find the measure of the larger acute angle by subtracting the measure of the smaller acute angle from 90 degrees. However, without specific measurements or additional information, we cannot determine the exact measure of the angle.

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Answer:[tex]3\sqrt{2}[/tex]

Step-by-step explanation:

in order to make a right triangle point should be either (1,4) or (4,1)

each way hypotenuse of this triangle is

[tex]known coordinates are (4,4)-- > (x1,y1)\\ and (1,1)-- > (x2,y2) \\\sqrt{(x1-x2)^{2}+(y1-y2)^{2}} =\sqrt{(4-1)^{2}+(4-1)^{2}}=\sqrt{9+9}=\sqrt{3^{2}*2}=3\sqrt{2}[/tex]

the answer is below with full explanation

The scale of proportionality is given as 8 from the table that you have presented

The table here was not properly arranged in the question. I have done so below

64 88 104

8 11 13

lets say that 8p = 64

then p = 64 / 8

p = 8

we would have to determine if the value 8 when multiplied with scaled factor  would be able to give us the original factor

8 * 11 = 88

8 * 13 = 104

Hence the scale of proportionality is given as 8

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The average time between fireworks is 4 seconds.

The given problem is a uniform distribution problem.

Uniform distribution is the probability distribution, which states that all outcomes of a random variable are equally likely. The mean or the average of the uniform distribution formula is (a + b) / 2, where a is the lower limit and b is the upper limit of the interval.

The given problem states that the time between fireworks follows uniform distribution between one and seven seconds. Hence, the lower limit (a) is 1 and the upper limit (b) is 7.

The mean or the average time between the fireworks can be calculated using the formula; (a + b) / 2.(a) Average time between fireworks = (1 + 7) / 2 = 4 seconds.

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Answer:

3P-3q

Step-by-step explanation:

you want to distribute the 3, to the whole parenthesis.

Answer:

We can find the point that partitions line segment AB into a 3:6 ratio by using the formula for finding a point that divides a line segment into two parts in a given ratio.

Let's call the point we're looking for "P". According to the formula, the coordinates of point P can be found using the following equations:

x-coordinate of P = [(6 * x-coordinate of A) + (3 * x-coordinate of B)] / 9

y-coordinate of P = [(6 * y-coordinate of A) + (3 * y-coordinate of B)] / 9

Using the coordinates of points A and B given in the problem, we can plug them into these equations and simplify to find the coordinates of point P:

x-coordinate of P = [(6 * -1) + (3 * 2)] / 9 = 0

y-coordinate of P = [(6 * 2) + (3 * 5)] / 9 = 3.33 (rounded to two decimal places)

Therefore, the point that partitions line segment AB into a 3:6 ratio is approximately (0, 3.33), which is closest to option A: 4,5/3.

Answer: answer is 9.9

Step-by-step explanation: becuz 31.2 - 21.3 = 9.9

u have to substract 21.3 from 31.2 . if u subtract 21.3 from 31.2 then it will be 9.9  

but ig u did subtract 31.2 from 21.3....

The division expression shown in the model attached to this question is 1/2 ÷ 3

The model missing in the question is added as an attachment

In the model, we have

Shaded sections = 3

Partitons = 1/2

This means that

Division expression = Partitons ÷ Shaded sections

Substituting the above expressions, we have

Division expression = 1/2 ÷ 3

This means that the division expression is 1/2 ÷ 3

When the expression is solved, we have

Division expression = 1/6

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Complete question

Which division expression is shown in the model?

See attachment

Answer:

16

Step-by-step explanation:

First you figure out how many days are in 4 weeks which is 28. Then you do 448 divided by 28 which equals 16. There's your answer.