Can y’all help me on 23?!

C is subject.

b=a/2+c

-2(b)/-a=c

-2b/-a=c

Or

2b/a=c

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Answer:

3

Step-by-step explanation:

We pick two points on the line

(-2,0) and (-1,3)

We can use the slope formula

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

   = ( 3 - 0)/( -1 - -2)

   = (3-0)/( -1+2)

  = 3/1

  =3

Answer:

155625 is the answer.

Step-by-step explanation:

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None of the expressions given is equivalent to (2 - ³√24)²..

Mathematical statements must contain a sentence, at least one mathematical operation, and at least two numbers or factors. With this mathematical operation, you can increase, split, add, or take something away. The shape of a phrase is as follows: Expression: (Number/Variable, , Math Operator)

Let's first simplify the expression (2 - ³√24)²:

(2 - ³√24)² = (2 - 24^(1/3))² = (2 - 2.29)² = (-0.29)² = 0.0841

Now we can check which expressions are equivalent to 0.0841 when (2 - ³√24)² is evaluated:

4 = 4.0000... (not equivalent to 0.0841)

04 = 0.04 (not equivalent to 0.0841)

26.2 - 8 = 18.2 (not equivalent to 0.0841)

02 - 5.22 = -3.22 (not equivalent to 0.0841)

Therefore, none of the expressions given is equivalent to (2 - ³√24)².

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The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

Option B

Step-by-step explanation:

Set 1:

med: 76, Range: 50-65= 15IQR: 77-73= 4

find the median, range, and IQRfor each data set.

Set 2:

med: 60, Range: 68-55= 13,IQR: 63-59= 4

76- 60 =16

find the difference of the medians 16 is 4 times 4

so the difference of the medians is 4 times the IQR

----------------------------

hope it helps...

have a great day!!

Answer: 19/30 or about 63%

Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.

Answer:

2(x+3)=15     x=6

Step-by-step explanation:

Answer:

\(\text{(C) }\angle 2\text{ and }\angle 7\)

Step-by-step explanation:

Angle 2 corresponds with angle 6 and since all corresponding angles are equal, \(\angle 2=\angle 6\). Angle 6 and angle 7 happen to be vertical angles (opposite side of an intersection of two lines). Since all vertical angles are also equal, \(\angle 6=\angle 7\) and by substitution, we have: \(\implies \boxed{\text{(C) }\angle 2\text{ and }\angle 7}\)

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer: I believe the area of this shape is 40

Step-by-step explanation:The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Answer:

40in

Step-by-step explanation:

Answer:

m(arc EFD) = 270°

Step-by-step explanation:

m(arc EFD) = m(arc EF) + m(arc FD)

Since, m(arc EF) = Angle subtended by the arc EF at the center

                           = 146°

m(arc DE) = 90°

And sum of all the angles subtended by the arcs at the center = 360°

m(arc EF) + m(arc FD) + m(arc DE) = 360°

146° + m(arc FD) + 90° = 360°

m(arc FD) = 360° - 236°

m(arc FD) = 124°

Therefore, m(arc EFD) = m(arc EF) + m(arc FD)

                                     = 146 + 124

                                     = 270°

Answer:

270°

Step-by-step explanation:

The length of line segment BC in this particular kite is 14 units, which is equal to the length of AB.

In the given kite ABCD, we know that sides AB and BC are congruent, and the length of AB is 14 units. Additionally, sides CD and AD are congruent, and the length of CD is 22 units.

To find the length of BC, we can use the properties of a kite. Since AB and BC are congruent, we can conclude that BC is also 14 units long.

This is because a kite has two pairs of congruent adjacent sides. Therefore, the length of line segment BC in this particular kite is 14 units, which is equal to the length of AB.

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Answer:

The length of line segment BC in this particular kite is 14 units, which is equal to the length of AB.

Step-by-step explanation:

just took test

The correct is b i.e; the critical value times the standard error of the sampling distribution

Given options are :

a. The biggest sampling error that can be made while maintaining a certain level of confidence.

b. the critical value multiplied by the sampling distribution's standard error

c. the discrepancy between the parameter and the point estimate.

Margin of error

= C * SE

Where C is critical value of on

of is the Standard error

The multiple of Critical Value and Standard error is the margin of error

Correct Option is b i. e the critical value times the Standard error of Sampling distribution

Therefore, The margin of error is the product of Critical Value and Standard Error.

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Figure E is a rotated and reflected version of Figure D that has been shifted to the right and up as a result of this transformation sequence.

The sequence transformation (which may be dependent on n). This is known as a linear sequence transformation. Nonlinear sequence transformations are nonlinear sequence transformations.

We can use the following transformations to map Figure D onto Figure E:

Figure D should be translated 4 units to the right and 1 unit up.

Figure D should be rotated 90 degrees clockwise around the origin.

Cross the y-axis with the resulting figure.

This transformation sequence results in Figure E, which is a rotated and reflected version of Figure D that has been shifted to the right and up.

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Answer:

Total students = 460+320+165=945

Key stage 3 ... asafraction = 460 divide by 945

the number in a sample of 100 = 460 divide by 945 x 100= 48.67

So 48 or 49 (are both, acceptable answers).

Answer:

One solution

Step-by-step explanation:

3-2x=5-x+3+4x

3-2x=3x+8       Combine like terms

3-8-2x+2x=3x+2x+8-8         Minus or add terms to get x on one side by itself

-5=5x        Divide 5 to both sides to get x by itself

5    5      

x=-1           The 5 is cancelled out on the side with the x and then divide it on                       the side with -5

Given the set of coordinates {(10,-1), (-8,-6), (-2,-5), (-6,-7), (-8,-9), (0,1)}, we can determine the domain and range of the set. The domain is the set of all x-coordinates, while the range is the set of all y-coordinates.

To find the domain and range of the set of coordinates, we can separate the x-coordinates and y-coordinates into two separate sets. The set of x-coordinates is {10, -8, -2, -6, -8, 0}, while the set of y-coordinates is {-1, -6, -5, -7, -9, 1}.

The domain is the set of all x-coordinates, which in this case is {10, -8, -2, -6, -8, 0}. The range is the set of all y-coordinates, which in this case is {-1, -6, -5, -7, -9, 1}.

Therefore, the domain of the set is {10, -8, -2, -6, -8, 0}, and the range of the set is {-1, -6, -5, -7, -9, 1}. Knowing the domain and range of a set of coordinates can be useful in determining the extent of the values represented in the set, and can help in visualizing the data on a graph.

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Answer:

2. 3(6+4)

Step-by-step explanation:

Answer:

20 i think aHh

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Its x=1 because if we put the 1 as in x then it will be like 2(1)+3(4(1)-3)= 8-3(1)

2(1)+3(4(1)-3) is equal to 5

8-3(1) is equal to 5

5=5

so x is 1

Answer:

x=1

Step-by-step explanation:

The differential form of the integral sin x cos x dx is sin²x/2 + C.

Differential form:

Differential form provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds.

Given,

Here we need to find the differential form in the integral is  sin x cos x dx.

Here we have the integral form,

=> ∫ sin x cos x dx

Now, we have to substitute

=> u = sin(x) ⟶ du/dx

=> cos(x) ⟶ dx = 1 / cos(x)du

So, it can be written as,

=> ∫ u du

By apply power rule, then we get.

=> u²/2 +C

Apply the value of u as sin x, then we get,

=> sin²x/2 + C

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Answer: The paint mixer should mix 2.75 gallons of 30% gloss paint and 1 gallon of 15% gloss paint to make 3.75 gallons of paint that is 20% gloss.

To calculate the number of gallons of each paint that the mixer should mix, we need to use the formula: C1V1 + C2V2 = C3V3, where C1 and V1 are the concentration and volume of the first paint, C2 and V2 are the concentration and volume of the second paint, and C3 and V3 are the concentration and volume of the mixture. Using this formula and the given information, we can set up the equation:0.30V1 + 0.15V2 = 0.20(3.75)Simplifying the equation, we get:V1 + V2 = 3.75And, rearranging it, we get:V2 = 3.75 - V1.Substituting this in the first equation, we get:0.30V1 + 0.15(3.75 - V1) = 0.20(3.75).Simplifying and solving for V1, we get:V1 = 2.75.

Therefore, the mixer should mix 2.75 gallons of 30% gloss paint and 1 gallon of 15% gloss paint to make 3.75 gallons of paint that is 20% gloss.

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To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

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The value of Pi to four decimal places is 3.1416.

There are 8 vertices on a cube.

The prime number closest to 100 is 97.

The sum of the internal angles of a hexagon is 720 degrees.

The number represented in binary as 100 is 4 in decimal notation.

Answer:

Answer:

Step-by-step explanation:

Let number of chocolate cakes = c

Number of lemon cakes = l

Total cakes = 27

c + l = 27 ---------------(I)

Total slices = 170

7c + 6l = 170  ---------------(II)

Multiply equation (i) by (-7) and then add. So, c will be eliminated and we can find the value of  l

(I) * (-7)        -7c - 7l = -189

(II)                7c + 6l = 170     {Now add}

                         - l    = -19

l = 19

Plugin l = 19 in equation (I)

c + 19 = 27

c = 27 - 19

c = 8

Number of chocolate cakes = 8

Number of lemon cakes = 19

The measurements of the smaller rectangle's sides are x = 3 ft and y = 7.5 ft.

To find the measurements of x and y for the smaller rectangle, follow these steps:

1. Write down the given information: The first rectangle has shorter side x and longer side y, while the second rectangle has shorter side 8 and longer side 20. The area of the smaller rectangle is 22.5 ft².

2. Since the rectangles are similar, the ratio of corresponding sides must be equal. Set up a proportion for the shorter sides and the longer sides:

x/8 = y/20

3. Given that the area of the smaller rectangle is 22.5 ft², we can write an equation for the area:

  x * y = 22.5

4. Now, we can use the proportion to find either x or y in terms of the other variable. Let's solve for y:

y = 20x/8 = 2.5x

5. Substitute the expression for y back into the area equation:

  x * (2.5x) = 22.5

6. Solve the equation for x:

  2.5x^2 = 22.5

  x^2 = 9

  x = 3

7. Now, find the value of y using the expression we found in step 4:

  y = 2.5x = 2.5 * 3 = 7.5

Therefore, the measurements of the smaller rectangle's sides are x = 3 ft and y = 7.5 ft.

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In order to get a total combination of 250 gallons with an 18% salt concentration, 200 gallons of a 20% saltwater solution and 50 gallons of a 10% saltwater solution must be combined.

A basic formula for volumes is length, breadth, and height, as opposed to length, width, and height for the surface of a rectangle. It doesn't matter how you reference to the various dimensions; you could, for instance, use "depth" instead of "height" without the calculation changing.

The issue provides the equation shown below:

0.1x + 0.2y = 0.18(x + y)

Where 0.18 is the final mixture's salt content and x and y are the volumes of 10% and 20% saltwater solutions, respectively, in gallons.

Given with x = 50 gallons, we can solve for x by substituting the following into the equation:

0.1(50) + 0.2y = 0.18(50 + y)

By condensing and figuring out y, we get at:

5 + 0.2y = 9 + 0.18y

0.02y = 4

y = 200

Therefore, 200 gallons of the 20% saltwater solution will be needed to mix with 50 gallons of the 10% saltwater solution to produce a final mixture of 250 gallons at 18% concentration of salt.

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