Identify the claim and state H0​ and Ha​. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. B. No more than % of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not \%. D. % of adults in the country would travel into space on a commercial flight if they could afford it. to complete your choice. (Round to two decimal places as needed.) A. H0​:p≤ B. H0​:p=C. H0​:p= Ha​:p> Ha​:p= Ha​p≥ D. H0​:p> E. H0​:p= F. H0​:p≥ Ha​:p≤ Ha​:p= Ha​:p< (b) Use technology to find the P-value. (b) Use technology to find the P-value. Identify the standardized test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim. the null hypothesis. There enough evidence to the research center's claim.

Answer:

Speed = Distance/Time = k

When distance = 120m, time = 4secs

Speed = 120/4 = k

Speed = 30m/s = k

We are to get the distance when the time is 25secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

The quantity of lunch specials conceivable is 2 sandwiches * 2 beverages * 3 treats = 12.

The lunch exceptional at Teresa's Café incorporates a sandwich, a beverage, and a sweet. There are 2 choices for sandwiches, 2 choices for beverages, and 3 choices for treats. To decide the quantity of conceivable lunch specials, we want to track down the quantity of blends of these things. The recipe for mixes is n! /(r! * (n - r)!). Nonetheless, since every thing is chosen just a single time, we can basically duplicate the quantity of choices for every thing. For this situation, there are 2 choices for sandwiches, 2 choices for beverages, and 3 choices for pastries, so 2 * 2 * 3 = 12 potential lunch specials.

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x - 3 is not a factor of -3x + 11x² - 12x + 21, and the remainder when dividing -3x + 11x² - 12x + 21 by x - 3 is 111.

To check whether the polynomial x - 3 is a factor of the polynomial -3x + 11x² - 12x + 21, we can perform polynomial division. Dividing -3x + 11x² - 12x + 21 by x - 3, we get:

               11x + 24

     -----------------------

x - 3 | 11x² -  3x -  12x + 21

      - (11x² - 33x)

      --------------------

                   30x + 21

                   - (30x - 90)

                   -----------------

                             111

The remainder of the polynomial division is 111.

Therefore, x - 3 is not a factor of -3x + 11x² - 12x + 21, and the remainder when dividing -3x + 11x² - 12x + 21 by x - 3 is 111. As for the second question, dividing -3x + 11x² - 12x + 21 by x - 37, we cannot perform the division since the degree of the divisor (x - 37) is greater than the degree of the dividend (-3x + 11x² - 12x + 21).

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The answer to the equation is x = -5. To solve the equation 21.5 x 1 81+5 4x - 5+5 = 81 - 4x, we first simplified both sides by combining like terms. Then, we isolated the variable on one side of the equation by adding 4x to both sides.

To solve the equation 21.5 x 1 81+5 4x - 5+5 = 81 - 4x, we can follow these three steps: First, simplify both sides of the equation by combining like terms. We can simplify 1 81+5 to 186 and -5+5 to 0. This gives us: 21.5x + 186 = 81 - 4x
Second, isolate the variable on one side of the equation. To do this, we can add 4x to both sides:
21.5x + 4x + 186 = 81
Simplifying the left side gives us: 25.5x + 186 = 81
Finally, solve for x by isolating the variable. To do this, we can subtract 186 from both sides: 25.5x = -105
And then divide both sides by 25.5: x = -4.1176
Finally, we solved for x by isolating the variable and dividing both sides by 25.5. The solution to the equation is x = -4.1176.

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Answer:

x < -2

Step-by-step explanation:

Hey there!

The answer to your question is \(x < -2\)

Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!

\(12 - 6x > 24\)

\(-6x > 12\)           (Subtract 12 from both sides)

\(x < -2\)              (Divide both sides by -6)

Hope it helps and have a great day!

Answer:

a₈ = - 768

Step-by-step explanation:

The nth term of a geometric sequence is

\(a_{n} \) = a₁ \((r)^{n-1} \)

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = \(\frac{a_{2} }{a_{1} } \) = \(\frac{-12}{6} \) = - 2 , then

a₈ = 6 × \(-2)^{7} \) = - 6 × - 128 = - 768

Answer:

Gloria's answer is correct

Step-by-step explanation:

Yes, Gloria's answer is correct. In the inequality r > 7, the ">" symbol indicates that the solution consists of all values of r that are greater than 7.

To represent this on a number line graph, an open dot is placed at 7 to indicate that 7 itself is not included in the solution. Then, an arrow extending to the right is drawn to indicate that the values continue indefinitely in the positive direction, without any specific endpoint.

This graph accurately represents the solution to the inequality r > 7, indicating that r can take any value greater than 7 but not including 7 itself.

Answer:

5(7v+3)

Step-by-step explanation:

Look for what both terms have in common and factor that

35v  + 15

Rewrite 35 as 5*7 and 15 as 5*3

5*7v + 5*3

Both terms have in common 5 so will factor it out

 5(7v+3)

The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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The property that is illustrated by the given statement is called: A. Transitive property of equality.

The transitive property of equality states that, if two quantities, a and b, are equal to each other, and the second quantity, b, is equal to a thrid quantity, c, then, the first quantity equals the third quantity (a = c).

Using the same logic, ΔABC ≅ ΔXYZ.

Therefore, the property that is illustrated by the given statement is called: A. Transitive property of equality.

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Answer:

  arc BC = 26°

  arc AB = 90°

  arc CAB = 334°

Step-by-step explanation:

The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.

__

∠APE +∠EPD = 180°

  (25x +15)° +(33x -9)° = 180°

  58x = 174 . . . . . . divide by °, subtract 6

  x = 3 . . . . . . . . divide by 58

Angle APE is ...

  ∠APE = (25x +15)° = (25·3 +15)° = 90°

Then ...

  ∠EPD = 180° -90° = 90°

  ∠DPC = (20·3 +4)° = 64°

  ∠CPB = 90° -64° = 26°

  arc BC = ∠BPC = 26°

  arc AB = ∠APB = 180° -90° = 90°

  arc CAB = 360° -arc AB = 334°

We can conclude that the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.

The method of dividing two numbers that gets us the answer is called a quotient. Divide 8/2 to get 4, which is an example of a quotient.

To estimate the quotient of 28 and 0.48, we can round 0.48 to the nearest whole number and 28 to the nearest ten.

0.48 is closer to 0 than 1, so we round it down to 0.

We just round up to 30 because 28 is nearer to 30 than 20.

Now we have:

28 ÷ 0.48 ≈ 30 ÷ 0 = undefined

Any number divided by zero is undefined, so the quotient is not a real number. It is not greater or less than 56, because it does not exist.

Therefore, the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.

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Assuming the lines, which appear to be diameters, are actual diameters. The value of x is 10.63.

Any straight line that connects two points on a circle's circumference and goes through the circle's center. The length of such a line in geometry. The greatest separation possible between any two points in a metric space (geometry).

Exterior angles are 128, 32, and 45

Interior angles are 11x+4 and 85

Exterior angles = interior angles

128 + 32 + 45 = 11x+4 + 85

205 = 11x + 88

11x = 205 - 88 = 117

x = 117/11

x = 10.63

Therefore, the value of x is 10.63.

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Consider a quadratic function f(x) = ax^2 and let (x1, y1) and (x2, y2) be two distinct points on the parabola. Let L1 and L2 be the tangent lines at those two points. We want to show that the intersection of L1 and L2 lies on the vertical line that passes through the midpoint of the segment joining (x1, y1) and (x2, y2).

Let P be the point of intersection of L1 and L2, and let M be the midpoint of the segment joining (x1, y1) and (x2, y2). We need to show that the x-coordinate of P is equal to the x-coordinate of M.

Since L1 is tangent to the parabola at (x1, y1), we know that its equation is given by y - y1 = 2ax1(x - x1). Similarly, the equation of L2 is given by y - y2 = 2ax2(x - x2).

To find the x-coordinate of P, we set y1 = y2 and solve for x:

2ax1(x - x1) + y1 = 2ax2(x - x2) + y2

2ax1x - 2ax1x1 + y1 = 2ax2x - 2ax2x2 + y2

2a(x1 - x2)x = y2 - y1 + 2ax2x2 - 2ax1x1

x = (x1 + x2)/2

Therefore, P lies on the vertical line passing through the midpoint of the segment joining (x1, y1) and (x2, y2).

Hence, we have shown that any two tangent lines to a parabola of the form y = ax^2 intersect at a point that lies on the vertical line halfway between the points of tangency.

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Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is B.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment.

Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

Given the two endpoint coordinates of the line AB, which are A(-4,2) and B(1,-4). Therefore, the coordinates of the midpoint of the line are:

\(x = \dfrac{-4+1}{2} =-\dfrac{3}{2}\)

and

\(y = \dfrac{2-4}{2} = -1\)

Hence, the correct option is B.

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Answer:

a-2=Ruby’s Age

ur welcome:)

correct me if im wrong

brainliest please?

The given  statement pattern is a tautology.

To determine whether the following statement pattern is a tautology, a contradiction, or a contingency: (p→q)∨(q→p), follow these steps:

1. Write out the truth table for p and q:
  p | q
  -----
  T | T
  T | F
  F | T
  F | F

2. Calculate the truth values for (p→q) and (q→p) using the implication rule (p→q is false only when p is true and q is false):
  (p→q) | (q→p)
  -----------
   T     |   T
   F     |   T
   T     |   F
   T     |   T

3. Finally, calculate the truth values for the given statement pattern (p→q)∨(q→p) using the disjunction rule (a disjunction is true if at least one of the statements is true):
  (p→q)∨(q→p)
  ---------
     T
     T
     T
     T

Since the statement pattern (p→q)∨(q→p) is true for all possible truth values of p and q, it is a tautology.

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The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

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An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

Answer:

Step-by-step explanation:

6y-42=4y

2y=42

y=21

6x-12=2x+36

4x=48

x=12

Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

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SOLUTION

Step 1 :

In this question, we are meant to distribute the negative number and simplify the linear expression.

Step 2 :

Given:

CONCLUSION

We can see clearly that:

Answer:

see below

Step-by-step explanation:

y = x^2 +2x - 8

Factor

y = ( x+4)(x-2)

The zeros are

x+4 = 0  x-2 = 0    

x= -4    x= 2

(-4,0)  (2,0)

The axis of symmetry is 1/2 way between the zeros

(-4+2)/2 = -2/2 = -1

x = -1

The x coordinate of the vertex is at the axis of symmetry

The y value is found by substituting x=-1

y = (-1+4) (-1-2)= 3*-3 = -9

Vertex ( -1,-9)

The domain is all real numbers

The range is from -9 up

y≥ -9  since it opens upward

Answer

a) The system of two linear inequalities include

5x + 3y ≥ 15

3x + 4y > 12

b) Least number of times Sally needs to play only the ring toss in order to achieve her goal of more than 12 tickets = 5

c) Least number of times Tom needs to play only the fishing game in order to achieve her goal of at least 15 tickets = 5

Explanation

Number of times Ring toss needs to be played is denoted as x.

Number of times Fishing game needs to be played is denoted as y.

a) For Tom

5 tickets for each ring toss = 5x

3 tickets for each fishing game = 3y

Tom needs at least 15 tickets for the prize he wants

5x + 3y ≥ 15

For Sally

3 tickets for each ring toss = 3x

4 tickets for each fishing game = 4y

Sally needs more than 12 tickets for the prize she wants

3x + 4y > 12

The system of two linear inequalities is then

5x + 3y ≥ 15

3x + 4y > 12

b) What is the least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants?

The inequality describing her situation is

3x + 4y > 12

We are now told that if she plays only the ring toss, (that is, no fishing game, y = 0), what would be the minimum number of times she would need to play to achieve her goal of more than 12 tickets?

3x + 4y > 12

when y = 0

3x + 4y > 12

3x + 4(0) > 12

3x + 0 > 12

3x > 12

Divide both sides by 3

(3x/3) > (12/3)

x > 4

Number of times has to be more than 4, so, minimum number of times has to be 5.

c) What is the least number of times Tom needs to play only the fishing game in order to have enough tickets for the prize he wants?

The inequality describing his situation is

5x + 3y ≥ 15

We are now told that if he plays only the fishing game, (that is, no ring toss, x = 0), what would be the minimum number of times he would need to play to achieve his goal of at least 15 tickets?

5x + 3y ≥ 15

when x = 0

5(0) + 3y ≥ 15

0 + 3y ≥ 15

3y ≥ 15

Divide both sides by 3

(3y/3) ≥ (15/3)

y ≥ 5

Number of times has to be at least 5, so, minimum number of times has to be 5.

Hope this Helps!!!

Answer:

Slope = 4

Step-by-step explanation:

slope = rise/run

rise = y2 - y1

run = x2 - x1

rise/run = y2 - y1/x2 - x1

5 - 9/-7 - -6

= -4/-1

=4

Slope = 4

Answer:

m = 4

Step-by-step explanation:

Going from point (-6, 9) to point (-7, 5), we see x decreasing by 1 and y decreasing by 4.  Thus, the slope is

m = rise/run = -4 / (-1) = 4

The perimeter of shape B would be = 173.5in

To calculate the perimeter, the formula for scale factor should be used and it's given as follows;

Scale factor = perimeter a/perimeter b

The perimeter of shape a = 144 in

The perimeter of shape b = ?

The scale factor used for both shapes = 5/6 = 0.83

That is; 0.83 = 144/b

make b the subject of formula;

b = 144/0.83

= 173.5 in

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Answer:

I'm pretty sure it's 0.8 i think

Step-by-step explanation:

Answer:

0.0236 m per minute,

Step-by-step explanation:

Volume of the cone V = 1/3 π r^2 h.

Diameter = 2r = 2h so r = h

and V = 1/3 π h^3

So  the rate of change of volume with height =

dV / dh =  π h^2.

We are given that dV/dt = 6.

So the rate of change of height: dh/dt = dV/dt * dh/dV

= 6 * 1/ π h^2

When  h = 9

dh/dt = 6 / 81π m per minute

= 0.0236 m per minute,

Answer: lisa is faster

Step-by-step explanation: