A political strategist claims that 58% of voters in Madison County support his candidate. In a poll of 400 randomly selected voters, 208 of them support the strategist's candidate. At = 0.05, is the political strategist's claim warranted/valid? No, because the test value- 16 is in the critical region - Ne, because the test 243 is in the critical region Yes, because the w e 143 is the region Yes, because the test value-16 is in the noncritical region.

Answer:

Step-by-step explanation:

f. 20.5-13.71= 6.79

g. 71.23-36.57-17.89= 16.77

h. 50.147-19.05-7.61= 23.487

i. 92.38-57.25-16.3= 18.83

j. 44.08-17.9-9.06= 17.12

Answer:

Step-by-step explanation:

The smaller rectangle has a perimeter of 200 meters. Let's say that the smaller rectangle has length 60 and width 40. This would give it a perimeter of 200, since 2*(60+40) = 200.

If these are the length and width of the smaller one, we can multiply each by 5/4 to get the length and width of the larger one.

length of larger rectangle = 60*5/4 = 75

width of larger rectangle = 40*5/4 = 50

These dimensions would give a perimeter of 250, since 2*(50 + 75) = 250.

It is worth noticing that 250 is equal to 200 * 5/4. In the future, you can simply multiply perimeter by the ratio instead of going through all these steps.

The continuity of the piece-wise functions is defined as follows:

1. Not continuous.

2. Not continuous.

3. Not continuous.

A piece-wise function is a function that has multiple definitions, depending on the input.

Then the function is classified as continuous if the lateral limits at the points that the function change the definition are equal, and also equal to the numeric values of the function.

None of the functions in this problem are continuous, as:

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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Answer:

0.75 inches of snow

Step-by-step explanation:

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

12 hours = 9 inches of snow

1 hour = x

Cross Multiply

12 hours × x = 1 hour × 9 inches

x = 9/12

x = 0.75 inches

Therefore, 0.75 inches of snow fell at each hour.

Answer:

no

Step-by-step explanation:

because i siad so

Answer:

-x^2 -3x+8

Step-by-step explanation:

See image below:)

Answer:

-x^2 - 3x +8 this is your equation in simplified terms

Answer:

22 yards

Step-by-step explanation:

9/25 = x/60

cross-multiply:

25x = 540

x = 21.6

5 hours and 30 minutes ya que ambos trabajaran la mitad del trabajo

The sum of the infinite geometric series is 10

From the values that we have, the first term a1 = - 20, the common ratio r = 3

From the above we can get the first 5 terms of the geometric series. We do this by multiplying each number derived by 3

this would be :

-20, -60, -180, -540 , -1650 ...

The formula for the sum of the infinite geometric series is given as

S = a1 / 1 - r

from the question we have

a1 = -20

r = 3

we would put the values into the formula

S = -20 / 1 - 3

S = -20 / -2

s = 10

Hence the sum is given as 10

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(x,y) → (-x,y - 9) is the correct transformation for the given graph so option (A) will be correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the quadrilateral QRST not if we look at Q'R'S'T' it is 9 units downward so it means there will be 9 units decrement in y units.

So y → y - 9

Now,

Q'R'S'T' is as far from the x-axis as QRST but on the negative x-axis.

So,

x → -x

Hence "(x,y) → (-x,y - 9) is the correct transformation for the given graph".

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Answer:

Step-by-step explanation:

I think the only way you can solve this is to assume that <R means PRT in the given ratio. If I am wrong, I don't think the problem can be solved.

Find <T

Let <T = x

and <PRT = 3x

KLMN is a Parallelagram and therefore two adjacent angles are supplementary.

<PRT + <T = 180 degress

3x + x = 180 degrees

4x = 180

x = 45

So <T = 45

<PRT = 3*45 = 135

If RD is perpendicular to PS then <PDR = 90o

Here's the trick.

RD is also Perpendicular to RT

<MRD + <MRT = 90

<MRT = 180 - 90 - <T

<MRT = 180 - 90 - 45

<MRT = 45

Here comes your answer

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

<MRD + MRT = 90

<MRD + 45 = 90

<MRD = 45

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

Note: you must ignore everything to do with the diagram. It is not drawn to scale and the letters are not the same as in the question. The only thing you use is that the figure is a ||gm

The function that is the solution of the differential y" + y = sin(x) is: y(x) = -1/2(x cos x)

A function is an expression, rule, or law in mathematics that describes a connection between one factor (the independent variable) and another variable (the dependent variable).

Take a look at the the following differential equation:

y" + y = sin (x)

The auxiiliary equation is

m² + 1 = 0

m² + 1-1 = -1

m² + 0 = -1

m² = -1

m = ±√-1

m = ±i

So, the complimentary function is yₐ (x) = c₁ cos x + c₂ sin x

Let the particular integral be:

yₙ (x) = A cos x + B sin x

yₙ '(x) = - A sin x + B cos x

yₙ ''(x) = - A cos x + B cos x

yₙ ''(x) = - (A cos x + B cos x)

After we have substituted yₙ (x); and yₙ''(x) in the given differential equation

y'' + y = sin (x)

= - (A cos x + B cos x) + (A cos x + B cos x)  = sin(x)

0 = sin (x)

If we take the particular integral to be:
yₙ (x) =  x(A cos x + B cos x)

yₙ '(x) = x(-A sin x + B cos x) + A cos x + B cos x

yₙ ''(x) = x(-A cos x - B sin x) - A sin x + B cos x + -A sin x + B cos x

Substitute yₙ (x), yₙ''(x) into the stated differential equation

y'' + y = sin (x)

x (-Acosx - Bsin x) - Asinx + Bcosx + (-Asinx + Bcosx) - x (Acosx + Bsin x) = sin (x)

-Axcosx - Bxsin x - Asinx + Bcosx -Asinx + Bcosx - Axcosx + Bxsin x = sin (x)

-2Asinx + 2Bcosx = sin(x)

Compare the coefficients of like terms on both sides of the equation

-2A = 1, B = 0

A = -1/2, B = 0

Substitute A = -1/2, B =0 into the assumed solution.

yₙ(x) = x((-1/2)cosx + (0) sinx)

= -1/2xcosx +0

= -(1/2)xcosx

Now, the general solution for the given differential equation is:

y(x) = yₓ(x) +yₙ (x)

y (x) - c₁cosx + c₂sin x -1/2x cosx

Hence, the solution is:

y(x) = -1/2xcosx

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Full Question:

Which of the following functions are solutions of the differential equation y'' + y = sin x? (Select all that apply.)

A) y = 1 2 x sin x

B) y = cos x

C) y = x sin x − 5x cos x

D) y = − 1 /2 x cos x

E) y = sin x

Answer:

x>-2

Step-by-step explanation:

First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)

The maximum vertical distance between the line y = x + 6 and the parabola y = x² for −2 ≤ x ≤ 3 is 25/4.

Given, we need to find a function that gives the vertical distance v between the line y = x + 6 and the parabola y = x² for −2 ≤ x ≤ 3. 

We can represent the vertical distance between the line y = x + 6 and the parabola 

                            y = x² as follows:

                                   v = (x² - x - 6)

To find v′(x), we need to differentiate the above equation with respect to x.

                                      v′(x) = d/dx(x² - x - 6)v′(x) = 2x - 1

The maximum vertical distance between the line y = x + 6 and the parabola y = x² for −2 ≤ x ≤ 3 can be obtained by finding the critical points of v′(x).

                                          v′(x) = 0=> 2x - 1 = 0=> x = 1/2

Substitute x = -2, x = 1/2 and x = 3 in v(x).

v(-2) = (4 + 2 - 6) = 0v(1/2) = (1/4 - 1/2 - 6) = -25/4v(3) = (9 - 3 - 6) = 0

Therefore, the maximum vertical distance between the line y = x + 6 and the parabola y = x² for −2 ≤ x ≤ 3 is 25/4.

Hence, v(x) = x² - x - 6v′(x) = 2x - 1Maximum vertical distance = 25/4.

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Either take the photo of that question or take screenshot and attach it. The question is not complete.

The percentage error in each scenario is

a) No, the son did not guess the amount close enough to receive money from his father.

b) Yes, Jennifer and Johnny will pass their final project.

We have to determine the percentage error value the difference between actual and approximate value.

a) Father holds 5 coins in his hand.

Percentage Error in holding amount = 5%

Amount of money held by father = 90 cents

5% error in guessing the amount right

= 90 x 0.05 = 4.5 cents

So, the permissible limits to deem the guess right = 90 ± 4.5 i.e either less than 94.5 cents or more than 85.5 cents. Son guessed it 81 cents and that was less than the permissible error limits. Thus, son did not guess close enough to get the money.

b) Actual velocity of the car = 34.15 m/s

Percentage error = 2.5%

2.5% error in the correct velocity = 34.15 x 0.025 = 0.85375 m/s

So, the permissible limits for correct velocity = 34.15 ± 0.85375

i.e either less than 35.00375 m/s or more than 33.29626 m/s. Jennifer and Johnny guessed the velocity to be 34.87 m/s and that was within permissible limits. So, they guess right about the velocity of car.

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Complete question:

determine the percentage error in each scenario. show your work on all problems.

a) a dad holds five coins in his hand. he tells his son that if he can guess the amount of money he is holding within 5% error, he can have the money. the son guesses that dad is holding 81 cents. the dad opens his hand and displays 90 cents. did the son guess close enough to get the money?

b) science teacher tells her class that their final project requires students to measure a specific variable and determine the velocity of a car with no more than 2.5% error. Jennifer and Johnny work hard and decide the velocity of the car is 34.87 m/s. The teacher informs them that the actual velocity is 34.15 m/s. Will Jennifer and Johnny pass their final project?

Answer:

above sea level

Step-by-step explanation:

The absolute maximum value of g(x) over the interval [-1, 5] is -3/4.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The likelihood of randomly selecting a terrier from the shelter is (g) unlikely

From the question, we have the following parameters that can be used in our computation:

P(terriers) = 15%

When a probability is at 15% or less than 50%, it means that

The probability is unlikely or less likely

Hence, the true statement is (b) unlikely

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Answer:

2

Step-by-step explanation:

3x = x + 4

2x = 4

x = 2

3x = 6

x + 4 = 6

The value of x will be 0.48 which makes the following expression equal.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, 9.3x = x +4

The value of x is obtained to make the expressions equal.

Apply the arithmetic operation in order to find the value of x.

9.3x = x +4

9.3x-x=4

8.3x=4

x=4/8.3

x=0.48

Thus, the expression below is equivalent since the value of x will be 0.48.

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Answer:

the answer of this question is C

Answer:

Sometimes true

Step-by-step explanation:

Given

\(-8 + d\)

Required

Examine Neetu's statement

Neetu's statement is sometimes true.

First,

Let d = 5

\(-8 + d\) becomes

\(-8 + 5\)

\(-3\)

In this case, Neetu's statement is incorrect

However,

Let d = 10

\(-8 + d\) becomes

\(-8 + 10\)

\(2\)

In this case, Neetu's statement is correct.

So, we can conclude that;

Neetu's statement is sometimes true

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

The mathematical sentence that expresses the given information is the number of players who left the team, denoted by p, are 43 less than the number of players at the start of the season or p = 52-43.

According to the question,

We have the following information:

A football team had 52 players at the start of the season, but then some players left the team. After that, the team had 43 players.

Now, let's take the number of players who left the team to be p.

So, we have the following expression:

p = 52-43

p = 9

Hence, the mathematical sentence that expresses the given information is the number of players who left the team, denoted by p, are 43 less than the number of players at the start of the season.

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Aircraft a has 371 seats and Aircraft b has 235 seats.

A linear equation is an algebraic equation that has highest degree of 1.

The total number of seats in both aircraft is 606.

Assuming aircraft b has x number of sheets.

∴ Aircraft a has (x + 136) number of sheets.

From the question itself we can form a numerical expression which is

x + (x + 136) = 606.

2x + 136 = 606.

2x = 606 - 136.

2x = 470.

x = 470/2.

x = 235.

So, Aircraft b has 235 seats and Aircraft a has ( 235 + 136) = 371 seats.

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The geometry term that each statement represent is option D. Statement 1: postulate; Statement 2: theorem

A statement serves as a  declarative sentence which can be  true or false and it is been referred to as proposition.

A statement can be seen as to be correct when there is approved mathematical arguments and operations hence, statement 1 is a theorem and statement 2 is a postulate.

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The equation of the circle that passes through the endpoints of the diameter (1, -1) and (-5, -9) is (x + 2)^2 + (y + 4)^2 = 40.

To find the equation of a circle, we need to determine the center and the radius. Since we are given the endpoints of a diameter, we can find the center by finding the midpoint of the diameter.

The midpoint formula is given by:

x-coordinate of midpoint = (x1 + x2) / 2

y-coordinate of midpoint = (y1 + y2) / 2

Using the endpoints (1, -1) and (-5, -9), we can find the midpoint:

x-coordinate of midpoint = (1 + (-5)) / 2 = -2 / 2 = -1

y-coordinate of midpoint = (-1 + (-9)) / 2 = -10 / 2 = -5

So, the center of the circle is (-1, -5).

To find the radius, we can use the distance formula between the center and one of the endpoints of the diameter. The distance formula is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the center (-1, -5) and one endpoint (1, -1), we can find the radius:

Distance = √((-1 - 1)^2 + (-5 - (-1))^2)

        = √((-2)^2 + (-5 + 1)^2)

        = √(4 + (-4)^2)

        = √(4 + 16)

        = √20

        = 2√5

So, the radius of the circle is 2√5.

Now we have the center (-1, -5) and the radius 2√5, we can write the equation of the circle in the form:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values, we get:

(x + 1)^2 + (y + 5)^2 = (2√5)^2

(x + 1)^2 + (y + 5)^2 = 20

(x + 1)^2 + (y + 5)^2 = 20

Therefore, the equation of the circle that passes through the endpoints of the diameter (1, -1) and (-5, -9) is (x + 2)^2 + (y + 4)^2 = 40.


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