6,7, and 8 only questions

The error of type I is Despite the fact that the median age is 34, we get to the conclusion that it is not. The appropriate response to this question is option C.

A Type I error is rejecting the null hypothesis when it is actually true. It involves making inferences from statistically significant outcomes even though they might have happened by chance or for other reasons.

The probability of error will depend on the significance level (alpha or) that you choose. In order to determine the statistical likelihood of receiving your results, you established that number at the outset of your investigation (p-value).

The usual level of significance is 0.05 or 5%. The likelihood that the null hypothesis is true is only

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Answer:

3x + 1 = 7

Step-by-step explanation:

3x + 1 = 7 Subtract 1 from both sides

3x = 6 Divide 3 from both sides

x = 2

Given statement is True.

A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.

The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.

In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.

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Answer:

8.5 hours

Step-by-step explanation:

1 batch of cookies : 2 hours

If it takes him 2 hours per batch of cookies and he needs to make 4.5 batches then that can be represented by 2*4.5 which would equal 9, so it would take him 9 hours to bake the cookies.

Answer: $372

Step-by-step explanation:

330 + (1.5% of 330) = 334.95

334.95 + (1.5% of 334.95) = 339.97425

339.97425 + (1.5% of 339.97425) = 345.073864

345.073864 + (1.5% of 345.073864) = 350.249972

350.249972 + (1.5% of 350.249972) = 355.503772

355.503772 + (1.5% of 355.503772) = 360.836392

360.836392 + (1.5% of 360.836392) = 366.248398

366.248398 + (1.5% of 366.248398) = 371.742124

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Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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The median and quartiles fall in the middle age classes.

The median is the middle value in a set of data, meaning that half of the data falls below the median and half falls above it. The quartiles divide the data into four equal parts, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) being the median or 50th percentile, and the third quartile (Q3) being the 75th percentile.

In terms of age classes, the median and quartiles would fall in the middle age classes. For example, if the age classes were 0-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, and 81-90, the median and quartiles would fall in the 21-30, 31-40, and 41-50 age classes.

It is important to note that the specific age classes that the median and quartiles fall in will depend on the distribution of the data. However, they will always fall in the middle age classes, as they represent the middle values of the data set.

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Dilation and rotation transformation produces shapes that are not congruent.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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The inequality is represented by the polynomial y ≥ 3.6 · (x - 11.5) · (x + 3.5).

Herein we must derive the quadratic expression within an inequality of the y ≥ f(x) based on its two roots and a known point on the curve. We can find the coefficients of the quadratic equation by solving this system of linear equations:

(x₁, y₁) = (- 3.5, 0)

12.25 · a - 3.5 · b + c = 0       (1)

(x₂, y₂) = (11.5, 0)

132.25 · a + 11.5 · b + c = 0       (2)

(x₃, y₃) = (8.5, - 54)

72.25 · a + 8.5 · b + c = - 54     (3)

The solution of the system is a = 3.6, b = - 54, c = 144.9. Thus, the inequality is represented by the polynomial y ≥ 3.6 · x² - 54 · x + 144.9, whose factored form is determined by the quadratic formula:

y ≥ 3.6 · (x² - 15 · x + 40.25)

y ≥ 3.6 · (x - 11.5) · (x + 3.5)

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Answer:

Step-by-step explanation: idk ok 1-2 is idk

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

The very first one is decay and the rest are growth

Step-by-step explanation:

Im SO sorry if i got it wrong

I REALLY hope this helped

Best of luck

Answer:

\(\boxed {x \geq 3}\)

Step-by-step explanation:

Solve the following inequality:

\(3x -4 \geq 5\)

-Add \(4\) to both sides:

\(3x -4 + 4 \geq 5 + 4\)

\(3x \geq 9\)

-Divide both sides by \(3\):

\(\frac{3x}{3} \geq \frac{9}{3}\)

\(\boxed {x \geq 3}\)

a. The probability that one of the selected adults wears glasses is 0.323.

b. The expected number of adults not wearing glasses in this selection is 4.

c. The probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

d. The standard deviation of the number of adults not wearing glasses in this selection is 1.385.

(a) To find the probability that one of the selected adults wears glasses, we can use the binomial distribution formula:

P(X = k) = \({}^nC_k\) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials (in this case, 10), k is the number of successes (in this case, 1), p is the probability of success (in this case, 0.6), and (1-p) is the probability of failure (in this case, 0.4).

Substituting these values, we get:

P(X = 1) = \({}^nC_k\) × \(0.6^1\) × \(0.4^9\)

= 10 × \(0.6^1\) × \(0.4^9\)

= 0.323

So the probability that one of the selected adults wears glasses is 0.323.

(b) To find the expected number of adults not wearing glasses, we can use the formula:

E(X) = n × (1 - p)

where n is the number of trials (in this case, 10) and p is the probability of success (in this case, 0.6).

Substituting these values, we get:

E(X) = 10 × (1 - 0.6)

= 4

So the expected number of adults not wearing glasses is 4.

(c) To find the probability that more than three but no more than five of the selected adults will not be wearing glasses, we can use the binomial distribution formula again:

P(3 < X < 6) = P(X = 4) + P(X = 5)

Substituting the values using the formula, we get:

P(X = 4) = 10 choose 4 × \(0.4^4\) × \(0.6^6\)

= 210 × \(0.4^4\) × \(0.6^6\)

= 0.250

P(X = 5) = 10 choose 5 × \(0.4^5\) × \(0.6^5\)

= 252 × \(0.4^5\) × \(0.6^5\)

= 0.201

Therefore,

P(3 < X < 6) = P(X = 4) + P(X = 5)

= 0.250 + 0.201

= 0.451

So the probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

(d) To find the standard deviation of the number of adults not wearing glasses, we can use the formula:

SD(X) = √(n × p × (1 - p))

Substituting the values, we get:

SD(X) = √(10 × 0.6 × 0.4)

= 1.385

So the standard deviation of the number of adults not wearing glasses is 1.385.

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The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

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Answer:

b=34

Step-by-step explanation:

<a(340 corresponds to <b

Answer:

yes

Step-by-step explanation:

yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost

btw just copy/paste :P

Answer:

            mean.              median.             mode

2006.      4                        4                       4                  

2004.      6                        6                       6

2001.     5.75                     5                      none

Step-by-step explanation:

By using Pythagoras Theorem, it can be calculated that

Number of steps of the staircase is 20

Width of the base of the staircase is 560 cm

Length of the railing attached to the stairs = 665.73 cm

What is Pythagoras Theorem?

Pythagoras Theorem states that in a right angled triangle, the sum of the square of perpendicular and base is equal to the square of the hypotenuse.

Vertical distance between the first and second floor = 3.6 m = 360 cm

Height of one step = 18 cm

Number of steps = \(\frac{360}{18}\) steps

                            = 20 steps

Width of the base = 28 \(\times\) 20 = 560 cm

Let the length of the railing attached to the stairs be x cm

By Pythagoras Theorem,

\(x^2 = 560^2 + 360^2\\x^2 = 313600 + 129600\\x^2 = 443200\\x = \sqrt{443200}\\x = 665.73 \ cm\)

Length of the railing = 665.73 cm

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Benji made par or better on 7 holes in his round so far.

the ratio of holes with par or better to total holes played is equal to 0.4. We need to determine on how many of the holes Benji has made par or better. Table that shows the number of holes Benji has played during his round so far is shown below: Number of holes played in round so far Holes played 6 12 18Number of holes with par or better Number of holes played

2x 6 0.4

The ratio of the number of holes with par or better to the total number of holes played is 0.4.So, (Number of holes with par or better) /

(Number of holes played) = 0.4

Number of holes with par or better

/ (6 + 12 + 18) = 0.42x / 36 = 0.4

Cross-multiplying the above equation, we get,

2x = 0.4 x 36 = 14.4Dividing by 2 on both sides, we get x = 7.2

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:Domain = [-3, 1)\)

\(\qquad \tt \rightarrow \:Range = [-5 , 4]\)

____________________________________

\( \large \tt Solution \: : \)

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

\( \large\textsf{For the given graph : } \)

\(\qquad \tt \rightarrow \: domain = [ -3, 1)\)

\(\qquad \tt \rightarrow \: range= [ -5,4]\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The formula for the general nth term of the sequence is αₙ= -3-n.

The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.

The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.

Here, α= -4

         d=α₂-α₁

           = -5+4

           = -1

  ⇒αₙ= -4+(n-1)(-1)

  ⇒αₙ = -4-n+1

  ⇒αₙ  = -3-n

The correct answer is -3-n.

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Decimals are obtained if fraction is solved even if there is remainder in division. The fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example: \(0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}\)

(10 raised to power k = 1 followed by k zeroes)

For the given case,  the decimal 0.8888 is converted to fraction as shown below.

As in 0.8888, there are 4 digits after decimal point so, we write numerator as 8888, and denominator as 10000, thus,

\(0.8888 = \dfrac{8888}{10000}\)

Now, we can cancel out the common factors in both numerators and denominators.

Thus, \(0.8888 = \dfrac{8888}{10000} = \dfrac{1111}{1250}\)

(canceled the common factor 8)

Therefore, the fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)

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(a) The ball was thrown at a speed of approximately 11.3 m/s. (b) The ball took approximately 0.41 seconds to reach the hoop. (c) when the ball reaches the hoop, its velocity components are approximately Vy = 8.00 m/s vertically and Vx = 8.00 m/s horizontally.

To solve the problem, we can use the equations of projectile motion. Let's calculate the values step by step:

(a) We can use the horizontal and vertical components of the initial velocity to find the magnitude of the initial velocity.

Initial height (h) = 2.00 m

Distance to the hoop (d) = 7.24 m

Launch angle (θ) = 45.0°

The initial vertical velocity (Vy) can be found using the formula:

Vy = V * sin(θ)

The initial horizontal velocity (Vx) can be found using the formula:

Vx = V * cos(θ)

Since the ball is launched from the same height it lands on, we can equate the final and initial vertical positions:

d = V * t * sin(θ) -\((1/2) * g * t^2\)

Here, g is the acceleration due to gravity (9.8 m/\(s^2\)), and t is the time of flight.

Rearranging the equation, we get:

t = 2 * Vy / g

Substituting the value of t back into the equation for d, we have:

d = V * (2 * Vy / g) * sin(θ)

Solving for V, we find:

V = d * g / (2 * Vy * sin(θ))

Substituting the given values, we get:

\(V = (7.24 m * 9.8 m/s^2) / (2 * (2.00 m) * sin(45.0°))\)

Calculating this, we find:

V ≈ 11.3 m/s

Therefore, the ball was thrown at a speed of approximately 11.3 m/s.

(b) We can use the equation for the time of flight of a projectile:

t = 2 * Vy / g

Substituting the given values, we have:

t = 2 * (2.00 m) / \(9.8 m/s^2\)

Calculating this, we find:

t ≈ 0.41 s

Therefore, the ball took approximately 0.41 seconds to reach the hoop.

(c) At the time the ball reaches the hoop, its vertical velocity component (Vy) is given by:

Vy = V * sin(θ)

Substituting the given values, we have:

Vy = (11.3 m/s) * sin(45.0°)

Calculating this, we find:

Vy ≈ 8.00 m/s

The horizontal velocity component (Vx) remains constant throughout the motion and is given by:

Vx = V * cos(θ)

Substituting the given values, we have:

Vx = (11.3 m/s) * cos(45.0°)

Calculating this, we find:

Vx ≈ 8.00 m/s

Therefore, when the ball reaches the hoop, its velocity components are approximately Vy = 8.00 m/s vertically and Vx = 8.00 m/s horizontally.

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Answer: i put B an got it correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I chose B section P because it is linear and it's going up so that means it's increasing.

Answer:

48 cups

Step-by-step explanation:

‐-------------------

Answer:

x = -32

Step-by-step explanation:

Given: (2x + 4) + 112 + 132 = 180

First, write it down:

(2x + 4) + 112 + 132 = 180

Then collect like terms:

2x = 180 - 112 - 132

Then calculate:

2x = -64  (Divide both sides by 2)

x = -32