List the set of all even numbers between 2 and 10, inclusive.

The one-sided p-value for this test can be found using a t-distribution table with degrees of freedom (df) equal to n-1 (where n is the sample size, which in this case is 10). Looking up a t-statistic of 1.30 with df=9 yields a p-value of approximately 0.11.

Since the alternative hypothesis is one-sided (H1: > 24), we need to divide the p-value by 2 to get the one-sided p-value.

Therefore, the one-sided p-value for this test is 0.11/2 = 0.055 or approximately 0.06.

The closest answer choice to this is (b) 0.05 < p < 0.10.
Hi! To find the one-sided p-value for a one-sample t-test with a t-statistic of 1.30 for the given hypothesis H0: μ = 24 vs. H1: μ > 24, follow these steps:

1. Determine the degrees of freedom for the t-distribution: In this case, there are 10 adults in the study, so the degrees of freedom (df) are 10 - 1 = 9.

2. Look up the t-statistic (1.30) in a t-distribution table or use a calculator or software to find the corresponding p-value.

3. Since this is a one-sided test, the p-value you find will be the correct value.

After performing these steps, you will find that the one-sided p-value for this test falls within the range of 0.10 < p < 0.15, so the correct answer is option c.

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Answer:

\(k=3j+6\)

Step-by-step explanation:

We can setup an equation in terms of k and j:

\(k=3j+6\)

We get this equation because there are 6 more than 3 times the Crockford cars in the Robinson dealership. We see that the equation already is the value of k in terms of k, so we have our answer.

Manny would save $729.50 per paycheck

What are dollar savings on new motorcycle and retirement?

The amount of savings on new motorcycle and retirement can be determined by multiplying the fractions by the earnings per paycheck

savings for new motorcycle=$2918*2/20

savings for new motorcycle=$291.80

savings on retirement=$2918*3/20

savings on retirement=$437.70

total savings=$291.80+$437.70

total savings=$729.50

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Answer:

Step-by-step explanation:

B

Answer:

m = -1/3

Step-by-step explanation:

To get the slope of the line, we identify two points on the line and use the slope formula

We can have the points (-2,3) and (1,2)

We have the slope formula as;

m = (y2-y1)/(x2-x1)

m = (2-3)/(1 + 2) = -1/3

Answer:

Step-by-step explanation:

In this problem, we are going to use Pythagoras theorem to solve for the height

given

x= 4.6 ft

hypothenus=15.2

y=?

we know that

hyp^2=x^2+y^2

15.2=4.6^2+y^2

15.2-4.6^2=y^2

15.2-21.16=y^2

5.96=y^2

√5.96=y

y=2.44ft

the height of the ladder is 2.44ft

The money Andreas has left from his share of the money when he has bought the video game is £179.50.

Let the amount of money that they share be represented by the variable x.

Given that they share the money in the ratio 3:2:5, we can express their share of the money as:

Andreas' share = 3x/10

Isla's share = 2x/10

= x/5

Paulo's share = 5x/10

= x/2Also, given that the total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives, we can form an equation:

x/5 + x/2 = 3x/10 + £76

Multiplying both sides by 10 to get rid of the fractions, we get: 2x + 5x = 3x + £760x = £760

Therefore, the total amount of money shared is £760.

Now that we know the total amount of money shared, we can determine how much Andreas has left after buying the video game.

We are told that Andreas buys a video game for £48.50 with some of his share of the money.

Therefore, he has £48.50 less than his share of the money left, which is:3x/10 - £48.50.

This simplifies to:(3/10)(£760) - £48.50= £228 - £48.50= £179.50

Therefore, Andreas has £179.50 left from his share of the money after buying the video game.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

We want to solve the equation:

(6 - 1) + (3m)i = -12 + 27i

Where m is a complex number.

first, we can rewrite this as:

5 + 3*m*i = -12 + 27*i

3*m*i = -12 - 5 + 27*i

3*m*i = -17 + 27*i

And we can write m as:

m = a + b*i

Replacing that in the above equation we get:

3*(a + b*i)*i = -17 + 27*i

3*a*i + 3*b*i^2 = -17 + 27*i

and we know that i^2 = -1

3*a*i - 3*b = -17 + 27*i

The real part in the left (-3*b) must be equal to the real part in the right (-17)

then:

-3*b = -17

b = -17/-3 = 17/3

And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)

then:

3*a = 27

a = 27/3.

Then the value of m is:

m = a + b*i = (27/3)  + (17/3)*i

Answer:

y = -3x + 800

Step-by-step explanation:

You start out with 800 eggs and go down 3 eggs with each customer

The function for the number of eggs left y after x customers is

y = 800 - 3x

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Number of eggs the diner starts in a week = 800

The number of eggs each customer gets = 3

Now,

The number of y eggs after x customers.

y = 800 - 3x

Thus,

The function is y = 800 - 3x.

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Answer:

Hello. You did not enter the answer options, but if two parallel lines are cut by a transversal, it is impossible to see a scenario with adjacent angles.

Step-by-step explanation:

When two parallel lines are cut by a transverse line, the result will always be a scenario where congruent alternating angles are created, whether internal or external.

This type of activity will never give rise to adjacent angles, regardless of how the lines are cut.

Answer:

X = 1

Step-by-step explanation:

Answer:

The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center. Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.

the answer is first one

The construction worker can fit 11 tiles across the length of the floor.

To find out how many tiles the construction worker can fit across the length of the floor, we need to determine the length of the floor first.

Given that the width of the floor can be covered by 3 tiles with a side length of 3/4 of a yard each, we can calculate the width of the floor by multiplying the side length of one tile by the number of tiles needed. Therefore, the width of the floor is (3/4) * 3 = 9/4 yards.

We are also given that the perimeter of the floor is 10 1/2 yards. The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since the width is 9/4 yards, we can subtract it from the total perimeter to find the length.

10 1/2 - 9/4 = 42/4 - 9/4 = 33/4 yards.

Now we know that the length of the floor is 33/4 yards.

To find out how many tiles can fit across the length of the floor, we divide the length of the floor by the side length of one tile.

(33/4) / (3/4) = (33/4) * (4/3) = 33/3 = 11.

Therefore, the construction worker can fit 11 tiles across the length of the floor.

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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The experimental probability that Hilda pulled a red marble is 0.11752 or 11.752%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its color, and then puts the marble back in the bag. She repeats this process 25 times.

The overall results are shown in the table.

Blue, Red, Yellow, Orange Frequency 6, 4, 8, 7 respectively.

P(red) will be 1/4 and P(not red) will be 3/4.

The number of trials (n) is 25.

Frequency of the red (r) = 4

Then the probability of getting red will be

\(\rm P(red) = \ ^nC_r( P(red) )^r*( P(not\ red))^{n-r}\\\\P(red) = \ ^{25}C_4 * (\dfrac{1}{4})^4 * (\dfrac{3}{4})^{25-4}\\\\P(red) = 0.11752\)

The experimental probability that Hilda pulled a red marble is 0.11752 or 11.752%.

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Answer:

here is ther anwser

Step-by-step explanation:

Answer:

EASY IT'S 48

Step-by-step explanation:

24x2

is the same as

24 + 24

which is 48

Answer:

48

Step-by-step explanation:

         24

      x    2

     ----------

          48

The triangle PQR is an equilateral triangle

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

PQ=QR.

m/P = (2x - 26) and m/R= (x+17)

When two sides of a triangle are congruent, then the triangle is an isosceles triangle

Using the above as a guide, we have the following:

2x - 26 = x + 17 --- base angles of an isosceles triangle

So, we have

x = 43

This gives

m/P = 2 * 43 - 26 = 60

m/R= 43 + 17 = 60

If two angles of a triangle measure 60 degrees, then the third angle is 60 degrees

This implies that the triangle is an equilateral triangle

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The measure of the angle Q is 46.4°

Recall that the sum of the angles of a triangle is equal to 180 degrees

We are told that

PQ = QR

Q = 100°

As PQ and QR are equal so,

By theorem angle opposite to equal sides are equal so,

We can say that angle P = angle R = X

Therefore by angle sum  property of the triangle,

angle P + angle Q + angle R = 180°

X +(2x - 26)+ (2x - 26) = 180°

This implies that 5x-52=180

Collecting like terms

5x=180+52

5X = 232°

X =46.4°

Therefore the measure of R = 40°

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To m∠2 using the inverse sine function, we need additional information about the problem or a diagram that shows the relationship between ∠2 and other angles or sides.

The inverse sine function, also denoted as \(sin^{(-1)\) or arcsin, is the inverse of the sine function.

It allows us to find the measure of an angle when given the ratio of the lengths of the sides of a right triangle.

In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Mathematically, it can be expressed as:

sin(θ) = Opposite / Hypotenuse

If we know the ratio of the lengths of the sides and want to find the measure of the angle, we can use the inverse sine function:

θ = \(sin^{(-1)\)(Opposite / Hypotenuse)

To m∠2 using the inverse sine function, we need to know the ratio of the lengths of the sides associated with ∠2, such as the opposite and hypotenuse.

Once we have those values, we can substitute them into the equation and calculate the measure of ∠2.

The problem or a diagram illustrating the triangle and the relationship between ∠2 and the sides for a more specific solution.

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Answer:

Step-by-step explanation:

1 liter = 1.52 euro

price in dollars per gallon = ?

$1 = 0.91 euro

so, $1.67 = 1.52 euro

thus, 1 liter = $1.67

now let's convert liter to gallons

1 gallon = 3.79 liter

so, 1 liter = .26 gallons

thus,

.26 gallons will cost $1.67

x = 17°

Supplementary angles are angles that add together to form 180°, aka a straight line.

Supplementary Angles
For the question, let the angle in the top left with a square in the vertex be angle 1. Let the angle in the top right formed by x° + 73° be angle 2. In the image, there is a square at the vertex of angle 1. This is used to show that the angle is a right angle. This means that angle 1 has a measure of 90°.

Supplementary angles come together to form a straight line. By looking at the diagram, we can tell that angles 1 and 2 form a straight line and thus are supplementary.

Solving for x

We know that angle 1 plus angle 2 will equal 180° since they are supplementary. We can use this information to set up an equation.

By plugging in the information we know, we can find the unknown value.

This means that the unknown angle is 17 degrees.

The numerical expression will be;

⇒ 5 × (67 + 86) = 765

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division

Given that;

The algebraic expression is,

''5 multiplied by the sum of 67 and 86''

Now,

Write the mathematical expression as;

''5 multiplied by the sum of 67 and 86''

⇒ 5 × (67 + 86)

⇒ 5 × 153

⇒ 765

Thus, The numerical expression will be;

⇒ 5 × (67 + 86) = 765

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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A) The annual growth rate between 1993 and 2004, is approximately 5.68%.  B) Converting the growth rate from part A to percentage form, is approximately 5.68%.  C) Assuming the house value continues to grow at the same annual growth rate, the estimated value in the year 2009 would be approximately $215,000

A) The annual growth rate between 1993 and 2004, assuming exponential growth, can be calculated using the formula: growth rate = (final value / initial value) ^ (1 / number of years) - 1. In this case, the initial value is $95,000, and the final value is $165,000. The number of years is 2004 - 1993 = 11. Plugging these values into the formula, we get: growth rate = (165,000 / 95,000) ^ (1 / 11) - 1 ≈ 0.0568.

B) Converting the growth rate from part A to percentage form, we multiply it by 100. Therefore, the correct answer in percentage form is approximately 5.68%.

Now let's move on to part C. Assuming the house value continues to grow at the same percentage, we can calculate the value in the year 2009. We know that the value in 2004 was $165,000. To find the value in 2009, we need to calculate the growth over a period of 5 years. Using the growth rate of 5.68% (or 0.0568 as a decimal), we can calculate the value in 2009 as follows: value in 2009 = value in 2004 (1 + growth rate) ^ number of years = 165,000 (1 + 0.0568) ^ 5 ≈ $215,291.

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Answer:

153.9 m² (nearest tenth)

Step-by-step explanation:

When the angle is measured in degrees, the formula of the area of sector is:

\( \frac{θ°}{360°} \times \pi {r}^{2} \)

Given: r= 14m, θ= 90

Area of sector

\( = \frac{90°}{360°} \times 3.14 \times {14}^{2} \\ = 153.86 \\ = 153.9 \: m^{2} \\ (nearest \: tenth)\)

The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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#1 is a. 11.25

#2 is h. 375

#3 is B 82.50

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]