Using hypothesis testing, determine whether the sample mean is not equal to the block population's mean (R+) with a confidence level of 99%.

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.

The maximum number of chairs that can be made will be the minimum of the number of parts divided by the number of parts required for each chair, as calculated across the various types of parts required.

seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

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If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

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Answer:

255 miles

Step-by-step explanation:

if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.

Answer: 17

Step-by-step explanation: You take 47, multiply it by 2 and you should get 94. Subtract 128 and 94 which =34. Since the perimeter = 2 times the original width you divide that by 2 and get 17.

Step-by-step explanation:

\(P = 2w + 2l \\ P = 2(w + l) \\ 128 = 2(w + 47) \\ w + 47 = 64 \\ w = 17 \: cm\)

Simplifying the algebraic expression \(( x + 4 ) ( 2 x + 9 )\) will give an answer \(2x^{2}+17x+36\).

The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.

The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.

According to the distributive property of algebraic expressions, each term in an expression's sum or difference must be multiplied by a number outside of the parenthesis. A number is used as the value outside of the parenthesis with the total or difference.

Here the algebraic expression is:

\(( x + 4 ) ( 2 x + 9 )\)

Use the distributive property to simplify the expression,

⇒ \(( x + 4 ) ( 2 x + 9 )\)

⇒ \((x)(2x)+(x)(9)+(4)(2x)+(4)(9)\)

⇒ \(2x^{2} +9x+8x+36\)

⇒ \(2x^{2} +17x+36\)

Therefore, the solution will be \(2x^{2} +17x+36\) when the algebraic expression is simplified.

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Therefore, the measures of VP, VQ, and VR are: 5 units, 7 units and 12 units.

A triangle is a two-dimensional geometric shape that is formed by connecting three non-collinear points with straight line segments. The points are called the vertices of the triangle, and the line segments that connect them are called the sides of the triangle. Triangles are one of the most basic shapes in geometry, and they have many interesting properties and applications in mathematics, science, and engineering. Some common types of triangles include equilateral triangles (where all three sides have the same length), isosceles triangles (where two sides have the same length), and scalene triangles (where no two sides have the same length).

Here,

To solve this problem, we can use the following properties of the centroid of a triangle:

The centroid of a triangle divides each median into two segments, one that is twice as long as the other.

The centroid is located two-thirds of the way from each vertex to the midpoint of the opposite side.

Let's label some additional points on the figure:

Let M be the midpoint of SR.

Let N be the midpoint of PQ.

Let W be the intersection of PT and SR.

Using property 1 above, we know that VW is twice as long as VU. Therefore, VW = 2 * VU = 16.

Using property 2 above, we know that VN = 2 * VQ and VM = 2 * VP. Since N is the midpoint of PQ, we have PQ = 2 * PN = 2 * VN / 3. Similarly, SR = 2 * SM = 2 * VM / 3.

Therefore:

PQ = 2 * VN / 3 = 2 * 3 * VP / 2 = 3 * VP

SR = 2 * VM / 3 = 2 * 3 * VQ / 2 = 3 * VQ

Now we can set up a system of equations to solve for VP, VQ, and VR:

VP + VQ + VR = V

PQ = 3 * VP

SR = 3 * VQ

VW = 16

PW + WQ = 15

We can substitute the second and third equations into the first equation to get:

4 * VP + 4 * VQ + VR = V

Using the fact that VW = 16, we can write:

PW = PT - TW = PT - VW/2 = 15 - 8 = 7

WQ = SR - SW = SR - VW/2 = 21 - 8 = 13

Substituting these values into the last equation, we get:

3 * VP + 3 * VQ = 8 + 2 * PW + 2 * WQ = 8 + 2 * 7 + 2 * 13 = 48

Now we can substitute this equation into the equation we derived earlier and solve for VR:

4 * VP + 4 * VQ + VR = V

4 * VP + 4 * VQ + (V - VP - VQ) = V

3 * VP + 3 * VQ = V

VR = V - 3 * VP - 3 * VQ

VR = V - 3/4 * (3 * VP + 3 * VQ)

VR = V - 9/4 * VP - 9/4 * VQ

VR = V - 9/4 * (8 * VP + 8 * VQ) / 4

VR = V - 18

Finally, we can substitute VP = PQ / 3 and VQ = SR / 3 into the equation above to get:

VR = V - 18

VR = VP + VQ

VR = PQ/3 + SR/3

VR = 15/3 + 21/3

VR = 12

Therefore, the measures of VP, VQ, and VR are:

VP = PQ / 3 = 15 / 3 = 5

VQ = SR / 3 = 21 / 3 = 7

VR = 12

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Answer:

George Washington 67 and sister 63

Answer: 28

Step-by-step explanation:

Let the present age of George be = x years

and present age of her daughter is = y years

4 years ago,

George age be = x - 4

Daughter age be = y - 4

After four years,

George age be = x +4

Daughter age be = y+ 4

Substitute the value of x in equation 2

➡

Value of y put in equation 1

➡x= 28

So, the present age of George is 28 years and his daughter's age is 4 years.

Answer:

4 dolls and 6 cars

Step-by-step explanation:

let c represent the number of cars and d the number of dolls bought , then

c + d = 10 ( subtract c from both sides ) ← total of 10 toys

d = 10 - c → (1)

10c + 15d = 120 → (2) cost of toys

substitute d = 10 - c into (2)

10c + 15(10 - c) = 120

10c + 150 - 15c = 120

- 5c + 150 = 120 ( subtract 150 from both sides )

- 5c = - 30 ( divide both sides by - 5 )

c = 6

substitute c = 6 into (1)

d = 10 - c = 10 - 6 = 4

the customer bought 6 cars and 4 dolls

Answer:

Step-by-step explanation:

when x = 7 and y = - 2

3x + 4y

= 3 * 7 + 4 * (-2)

= 21 - 8

= 13

Hope it helps :)

The most appropriate model to represent the data in the table is (d)

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

The table of values

In the above table of values, we can see that

To show as the number of miles change by day

A linear or line graph has to be plotted

Hence, the most appropriate model to represent the data is (d)

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Using the line plot the total time Lamar could juggle three balls is 17.25 minutes.

What is a line plot?

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

Based on the line plot, the list of Lamar's times in minutes is -

1.25, 1.25, 1.25, 1.5, 1.5, 1.75, 2, 2, 2.25, 2.5

Each dot on the line plot represents one time interval, which in this case is 0.25 minutes or 15 seconds.

For example, one dot at 1.25 minutes represents a time of 1.25 minutes, and two dots at 2 minutes represent a time of 4 minutes.

So count the number of dots for each time interval to determine Lamar's times in minutes.

Total time is -

1.25 + 1.25 + 1.25 + 1.5 + 1.5 + 1.75 + 2 + 2 + 2.25 + 2.5

17.25

Therefore, the total time for Lamar is 17.5 minutes.

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Answer:

-8 < a < 6

Step-by-step explanation:

a > -8 and a < 6

the first inequality can be solved by the balancing method aka performing the same operation on both sides. To isolate the a, we need to subtract 3 from both sides of the sign, which results in a > -8.

The second one can be solved similarly. Again we subtract 3 from both sides which gets us a < 6. This could be the final answer if they are two seperate inequalities. However, if it is one whole question (I dont know the context of the question so I cant assess that), then you are still required to modify the solution a little.

we have a > -8 and a < 6, so a needs to be larger than -8 and smaller than 6. If we change the first one to -8 <  a (essentially meaning the same thing), we can see that we can combine the two solutions:

-8 < a < 6

Answer:

\(\displaystyle 1\frac{1}{8}\) ft³

Step-by-step explanation:

     First, the box is one foot tall. In other words, it has a height of 1 foot. Since one cube is equal to \(\frac{1}{4}\) ft, and the box is four cubes tall,

\(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft = 1 foot

    Now, it has a width of  \(\frac{3}{4}\) ft because, as stated above, one cube is equal to \(\frac{1}{4}\) ft. The box has three cubes making up the width.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{3}{4}\) ft

   Next, it has a length of  \(\frac{3}{2}\) ft because, as stated twice above, one cube is equal to \(\frac{1}{4}\) ft. The box has six cubes making up the length.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{6}{4}\) ft = \(\frac{3}{2}\) ft

  Lastly, we will solve for the full volume of the box.

V = L * W * H

V = \(\frac{3}{2}\) ft * \(\frac{3}{4}\) ft * 1 ft

V = \(\displaystyle \frac{3*3*1}{2*4}\) ft³

V = \(\displaystyle \frac{9}{8}\) ft³

V = 1  \(\displaystyle \frac{1}{8}\) ft³

Answer:

D \(1 \frac{1}{8}\) ft³

Step-by-step explanation:

V= area of base * h

A of base= 3(1/4) × 6(1/4) = 18

↓

a of base = 0.75 x 1.5 = 1.125

=

1.125 x 4(1/4)

↓

1.125 x  1 = 1.125

1.125 = x/y ⇒ \(1 \frac{1}{8}\)

Your answer is D \(1 \frac{1}{8}\) ft³

Hope this helps! Let me know if you have any questions. Have a great day!

Answer:

4.000

that's the answer I think

Answer:

True.

Step-by-step explanation:

Net pay is the amount you take home after deductions and taxes are removed from your gross pay. These subtractions from your gross pay will include federal, state and local income taxes, if applicable.

Answer:

y = 3 x − 3

Step-by-step explanation:

The equation for slope-intercept form is as follows:

To find  c , substitute  x = 3 ,  y= 6  and  m = 3  into the equation,6=3 (3 ) + c c= 6 − 9 c = − 3  Since we found  m = 3  and  c= − 3 , we can form the equation,  = 3 x− 3

:D

Answer:

y=-6

Step-by-step explanation:

I got it wrong and told me this was the answer! Im not good with math lol

Answer:

sam

Step-by-step explanation:

he wantef gkbv yubnub

Answer:

me

Step-by-step explanation:

Answer:

87%

Step-by-step explanation:

13920/16000=0.87=87%

The only difference is a -2 in x in 1 transformation in 2 transformation. The function is shifted up by b units with f (x) + b.

Transformations can be divided into four categories: translation, reflection, rotation, and dilation. Rotate, reflect, or translate the geometric figures on a coordinate plane. The label given to a function, f, that maps to itself is the transformation, or f: X X. The pre-image X is transformed into the picture X after the transformation. It is possible to utilize any operation, or a combination of operations, in this transformation, including translation, rotation, reflection, and dilation.

given

J(2, 2), (3, 4), H(4,3), G(3,0) to J'(-1,2), I'(0, 4), H'(1, 3), G'(0, 0)

in 2 transformation as the only change is that -2 in x in 1 transformation

The function is shifted up by b units with f (x) + b.

The function is shifted downward by b units when f (x) b.

The function is moved left by b units when f (x + b) is used.

The function is moved right b units by the expression f (x b).

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Given the slope of the line and the pair of points, the missing y - value can be found to be - 17

The slope formula is:

y = Slope(x) + y - intercept

Using the point (4, 8), the y - intercept can be found by the formula:
8 = 5/2 (4) + y - intercept

y - intercept = 8 - 10

y - intercept = -2

The missing y value is therefore:

y = Slope(x) + y - intercept

= -6 (5/2) - 2

= -15 - 2

= - 17

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Answer:

Step-by-step explanation:

Area of a sphere is \(4\pi d^{2}\)

let d be the diameter of the moon and D be the diameter of the earth

d = 1/4 D

Area of Earth = \(4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}\)

Area of moon = \(4\pi d^{2}\)

\(\frac{Area of moon}{Area of Earth} = \frac{1}{16}\)

Answer:

B

Step-by-step explanation:

-4y-8-6y+18=12

-10y=12+8-18

Y=-1/5

The work done by the force F = -4i - 3j + 5k as the object moves from (-4, 5, -4) to (-1, 20, -16) can be calculated using the formula W = ∫ F · dr, where dr is the displacement vector along the path of motion. The distance is measured in meters.

To calculate the work done, we need to find the displacement vector dr along the path from (-4, 5, -4) to (-1, 20, -16). The displacement vector is given by dr = (-1 - (-4))i + (20 - 5)j + (-16 - (-4))k = 3i + 15j - 12k.

The work done is then W = ∫ F · dr = ∫ (-4i - 3j + 5k) · (3i + 15j - 12k) = ∫ (-12 + 45 - 60) = ∫ (-27) = -27 joules.

To find two unit vectors orthogonal to a = (-4, -1, -3) and b = (1, 3, -1), we can use the cross product. The cross product of two vectors yields a vector that is orthogonal to both of the original vectors.

Taking the cross product of a and b, we have a × b = (-4i - j - 3k) × (i + 3j - k) = (-2 + 3)i - (4 + 1)j + (-12 - 3)k = i - 5j - 15k.

To obtain unit vectors, we divide the resulting vector by its magnitude:

|i - 5j - 15k| = √(1² + (-5)² + (-15)²) = √(1 + 25 + 225) = √251.

Dividing each component by √251, we get the first unit vector: (1/√251)i - (5/√251)j - (15/√251)k.

Another unit vector orthogonal to a and b can be obtained by taking the cross product of a × b with a: (a × b) × a. However, since the question only asks for two unit vectors, we do not need to calculate it.

In summary, the work done is -27 joules, and the two unit vectors orthogonal to a = (-4, -1, -3) and b = (1, 3, -1) are (1/√251)i - (5/√251)j - (15/√251)k and (a × b) × a, which was not calculated in this case.

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Answer:

huhh

Step-by-step explanation:

The equation that can be used to find f, the number of offices on each floor of this building, is,

18f = 396.

The correct option is b.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

There are 18 floors in the building.

Each floor has the same number of offices.

Altogether, there are 396 offices in the building.

So, the equation that can be used to find f, the number of offices on each floors of this building

18f = 396

f = 22

Therefore, the required equation is 18f = 396.

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The sampling distribution model of p is a probability distribution that describes the possible values of a population proportion (p) based on a sample proportion (p-hat) from a random sample of the population. The assumptions that must be made for this description to be reasonable are:

If the sample is not randomly selected, it may not be representative of the population and the sample proportion may not accurately reflect the true population proportion.

A large sample size allows the sample proportion to be a good estimate of the true population proportion, this is due to the central limit theorem which states that as sample size increases, the distribution of the sample proportion becomes more normal and the standard deviation of the sampling distribution becomes smaller.

The population proportion must be well-defined and fixed for the sample proportion to be a good estimate of it. If the population proportion is not well-defined or changes based on the sample selected, then the sample proportion may not accurately reflect the true population proportion.

Independence of observations ensures that the outcome of one observation does not affect the outcome of another observation, this allows us to assume that the sample proportion is a good estimate of the population proportion.

If the sample is too large, it will be close to the population proportion, and therefore the sample proportion will not provide any new information.

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Answer:

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5) ⇒ D

Step-by-step explanation:

If the point (x, y) dilated by scale factor k and center the origin, then its image is the point (kx, ky)

In rectangle JKLM

∵ J = (1, 4), k = (6, 4), L = (6, 1) and M = (1, 1)

∵ The rectangle JKLM is dilated by a scale factor of 3.5

→ By using the rule above multiply each coordinate by 3.5

∴ J' = (1 × 3.5, 4 × 3.5) = (3.5, 14)

∴ K' = (6 × 3.5, 4 × 3.5) = (21, 14)

∴ L' = (6 × 3.5, 1 × 3.5) = (21, 3.5)

∴ M' = (1 × 3.5, 1 × 3.5) = (3.5, 3.5)

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5)

Answer:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Step-by-step explanation:

Given equation:

4(2x - 3) = 1

Step 1: open the parenthesis

4(2x - 3) = 1

8x - 12 = 1

Step 2: collect like terms

8x - 12 = 1

8x = 1 + 12

8x = 13

step 3: divide both sides by the coefficient of x

8x = 13

x = 13/8

The correct steps to solve the equation:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Answer:

8 times

Step-by-step explanation:

Volume of sphere 4/3 *pi*r^3

Let small sphere radius r1=r

So radius of large sphere R= 2r (given)

Put all valves in sphere formula and calculate

Small sphere vol v1 = 4/3*pi*r^3......... Let assume eq 1

Large sphere vol= 4/3*pi*(2r)^3

= 4/3*pi* 8r^3

Or = 8v1

substitute 4/3*pi*r^3 value from eq1

Answer:

8

Step-by-step explanation:

Given the ratio of the radii = a : b, then

ratio of volume = a³ : b³

Here the ratio of radii = 1 : 2 , thus

ratio of volume = 1³ : 2³ = 1 : 8

That is the volume of the larger sphere is 8 times the volume of smaller sphere.