Solve each equation or inequality. Write the solution set by using set notation, and then graph the solution set on a number line. 1. 8+2p=2(p+4)

Answer: Check the numbers that are already there.

Step-by-step explanation:

Example, what times 6 equals 24? then divided 24 by that number. Do this for all the numbers

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

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The flux of the vector field F = 2xi + 2yj + zk across the portion of the plane x + y + z = 7, where 0 ≤ x ≤ 2 and the direction is outward, is 14.

To calculate the flux, we need to compute the surface integral of the vector field F over the given portion of the plane. The surface integral measures the flow of the vector field through the surface.

The surface is defined by the equation x + y + z = 7. This plane intersects the positive octant of the coordinate system, where 0 ≤ x ≤ 2.

First, we need to determine the outward unit normal vector to the surface. The equation x + y + z = 7 can be rewritten as z = 7 - x - y. Taking the gradient of this equation, we have ∇z = (-1, -1, 1), which is the outward unit normal vector to the plane.

Next, we need to calculate the magnitude of the vector field F at each point on the surface. Since F = 2xi + 2yj + zk, the magnitude of F is given by |F| = √(4x^2 + 4y^2 + z^2).

Now, we can set up the surface integral:

∫∫S F · dS = ∫∫S F · (∇z dA),

where dA represents the differential area element on the surface.

Since the surface is a portion of the plane, the differential area element can be written as dA = dx dy. Thus, the surface integral simplifies to:

∫∫S F · (∇z dA) = ∫∫S (2x + 2y + z)(-1, -1, 1) · (dx dy).

We need to evaluate this integral over the region where 0 ≤ x ≤ 2.

The vector (2x + 2y + z)(-1, -1, 1) · (dx dy) simplifies to (-2x - 2y - z) dx dy.

Now we can set up the double integral:

∫∫S (-2x - 2y - z) dx dy.

To evaluate this integral, we need to determine the limits of integration. Since the plane intersects the positive octant of the coordinate system, we have 0 ≤ x ≤ 2 and 0 ≤ y ≤ 7 - x.

The integral becomes:

∫[0,2]∫[0,7-x] (-2x - 2y - z) dy dx.

Evaluating this integral gives the flux of the vector field across the given portion of the plane.

After performing the calculations, we find that the flux of the vector field F across the portion of the plane x + y + z = 7, where 0 ≤ x ≤ 2 and the direction is outward, is 14.

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On solving the provided question, we can say that the 70 percentage  of the people attended the music concert also attended the drama play

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Drama:

\(50 x 350/ 100 = 175 \\\ 350 / 2 (50percent ) = 175\\\50percent (1/2) of 350 = 175\\)

Music Concert:

\(175/250 x 100% = 70percent \\175 of 250 = 70percent\)

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

Step-by-step explanation:

The perimeter of a quarter circle can be calculated by adding the length of the arc and the two radii that make up the quarter circle.

The length of the arc of a quarter circle is given by (πr)/2, where r is the radius of the quarter circle and π is approximately 3.142 (as given in the question).

So, for a quarter circle with a radius of 7 cm, the length of the arc would be:

(πr)/2 = (3.142 x 7)/2 = 10.997 cm (rounded to 3 decimal places)

The two radii that make up the quarter circle are each equal to the radius of the quarter circle, so the total length of the two radii would be:

2r = 2 x 7 = 14 cm

Therefore, the perimeter of the quarter circle would be:

10.997 cm + 14 cm = 24.997 cm (rounded to 3 decimal places)

So the perimeter of the quarter circle is approximately 24.997 cm. The digits given by the calculator will depend on the specific calculator used.

Answer:

c

Step-by-step explanation:

Answer:

Cc

Step-by-step explanation:

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

The volume of a cylinder is 50πx

We know that

The volume (V) of a cylinder is,

V = πr²h

where

r is the radius of the cylinder

h is the height of the cylinder

From the question, we have

a cylinder with diameter 10 and height of 2x.

r = 10/2 =5

V = πr²h

V = π*5²*2x

V = 50πx

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

answers 930 ok I hope it help

After discount of 35% the price of an item would be $50.05

In this question, we have been given an item is regularly priced at 77$. It is now priced at a discount of 35% off the regular price.

We need to find the current price of the item after 35% discount.

regular price of an item = $77

It is now priced at a discount of 35% off the regular price

35 percent of 77

77 * 35/100 = 26.95

So, the new price would be,

77 - 26.95 = $50.05

Therefore, after discount of 35% the price of the item would be $50.05

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Answer:

Q1 y = 17/2x - 2

Q2 y = -3x + 14

Q3 y = 1/4x

Q4 y = 1/8x + 10

Step-by-step explanation:

See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.

Question Two

You take two points from the table, then you do y2 - y1 over x2 - x1.  -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14

Question 3

This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x

The equation in slope intercept form to represent each table is

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Answer:

(0,5)

(5/6,35/9)

Step-by-step explanation:

Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

To determine if the success ratios of Incubator A and Incubator B are significantly different, we can perform a hypothesis test.

Let's set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The success ratios of Incubator A and Incubator B are not significantly different.

Alternative Hypothesis (H1): The success ratios of Incubator A and Incubator B are significantly different.

We can use a significance level (α) of 0.05, which is a common choice.

To test the hypothesis, we can use a two-proportion z-test since we are comparing the success ratios of two groups. The formula for the test statistic is:

z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))

where:

p1 and p2 are the success ratios of Incubator A and Incubator B, respectively,

p_hat is the pooled sample proportion,

n1 and n2 are the sample sizes of Incubator A and Incubator B, respectively.

Let's calculate the test statistic and compare it to the critical value to make a decision.

Given:

Success ratio of Incubator A (p1) = 0.70

Sample size of Incubator A (n1) = 57

Success ratio of Incubator B (p2) = 0.39

Sample size of Incubator B (n2) = 40

First, calculate the pooled sample proportion (p_hat):

p_hat = (x1 + x2) / (n1 + n2)

where x1 is the number of successes in Incubator A and x2 is the number of successes in Incubator B. Since we are not given the actual counts, we cannot calculate the exact value of p_hat.

Next, calculate the test statistic (z) using the formula above.

Once we have the test statistic, we can compare it to the critical value from the standard normal distribution at the specified significance level (α) to make a decision.

If the test statistic falls within the rejection region (i.e., it is beyond the critical value), we reject the null hypothesis. If it falls within the acceptance region (i.e., it is within the critical value), we fail to reject the null hypothesis.

Without knowing the actual counts of successes in Incubator A and Incubator B, we cannot perform the calculations to determine if the success ratios are significantly different.

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6(8-2x)=4x

First, apply distributive property:

6 (8)+ 6 (-2x) = 4x

48-12x =4x

Move the "x" terms to the right:

48 = 4x+12x

Combine like terms

48 = 16 x

Divide both sides of the equation by 16:

48/16 = 16x/16

3 = x

x = 3

Answer:

5.9x3.3=19.47

i am glad to help you have a good day:) stay safe.

The value of the perimeter of the square become is 23.6x - 13.2.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

The perimeter of a square is defined as the addition of the lengths of the square.

The perimeter of a square = 4a

Where a is the length of the side of the square

The perimeter of a square = 4a

Here a = 5.9x-3.3

Substitute the value of a = 5.9x - 3.3 in the formula, and we get

Perimeter of square = 4(5.9x - 3.3)

Perimeter of square = 23.6x - 13.2

Therefore, the value of the perimeter of the square become 23.6x - 13.2.

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After 30 years of continuous deposits of $2000 per year into an IRA account earning 5% interest compounded continuously, the account would have $8,966.60. The interest earned is -$51,033.40, indicating a loss. The value of the IRA, when you turn 65, is  $8,966.60.

To calculate the amount in the IRA account after 30 years, we can use the continuous compound interest formula. The formula for the future value (FV) of a continuous income stream is given by:

FV = P * \(e^{(rt)}\)

Where:

P = annual deposit amount

r = interest rate per year (in decimal form)

t = number of years

In this case, the annual deposit amount is $2000, the interest rate is 5% (0.05 in decimal form), and the number of years is 30.

FV = 2000 * \(e^{(0.05 * 30)}\)

Using a calculator, we can calculate the value of \(e^{(0.05 * 30)}\) to be approximately 4.483.

FV = 2000 * 4.483 ≈ $8,966.60

So, the amount in the IRA account after 30 years will be approximately $8,966.60.

To determine the interest earned, we subtract the total amount deposited from the final value:

Interest = FV - (P * t)

Interest = 8,966.60 - (2000 * 30) = 8,966.60 - 60,000 = -$51,033.40

The negative value indicates that the total amount deposited is greater than the final value, resulting in an overall loss of $51,033.40.

The value of the IRA, when you turn 65, is equal to the final amount, which is approximately $8,966.60.

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Answer:

0.50

Step-by-step explanation:

X ___ - 5 ___ 3 __ - 2 __ 0 __ 12 __ 3

P(x) __0.17_0.13_0.33 _0.16 _0.11 _0.10

P(x <0) = p(x = - 2) + p(x = - 5)

P(x < 0) = 0.33 + 0.17

P(x < 0) = 0.50

Answer:

the answer is 0.79

Step-by-step explanation:

.17+.13+.33+.16=0.79 they are asking for less then or equal to 0 so just add all the percents of those numbers and boom hope that helped :)

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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Answer:

Area: 2 x 10=20

perimeter: 2(2+10)=24

Step-by-step explanation:

Hopefully this helps

Answer:

P = 24

A = 20

Step-by-step explanation:

The perimeter is calculated by multiplying the sum of width + length by 2

P = 2*(10+2)

P = 24 yd

the area is calculated by multiplying width and length

A = 10*2

A = 20

The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

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Answer:

C

Step-by-step explanation:

500+450=950

Answer:

24

Step-by-step explanation:

LCM(6, 8) = 24

LCM = 6 × 8/2

= 24

LCM(6, 8)

= 2 × 2 × 2 × 3

= 24

( I hope this was helpful) >;D

The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

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Answer: 1. 36 miles. 180/5=36.

2. The equation is d = 1/5m

Step-by-step explanation:

Answer:

The image has the answer.

With the given info you travel 1 mile in 5 minutes.

180 ÷ 5 = 36

1 mile per every 5 minutes

Phil invests £800 for 3 years at the rate of 2% then the total amount after 3 years is £848.

The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.

Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.

As per the given information in the question,

Principal amount, P =  £800

Time, T = 3 years.

Rate, R = 2%

\(SI=(Principle*Rate*Time)/100\)

SI = (800 × 2 × 3)/100

SI = 4800/100

SI = £48

Then, the total amount at the end of 3 years,

= £48 + £800

Total amount = £848

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