10 + 7m = 17
What operation would you perform first and then second when solving for m in the following equation??

Add 10,multiply by 7
Or
Divide by 7,subtracts10
Or
Multiple by7,add10
Or
Subtract10,divide by 7

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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Answer: 12

Step-by-step explanation:

From the question, we are informed that Joakim is icing 30 cupcakes and that he spreads mint icing on 1/5 of the cupcakes. This means that he spreads 1/5 × 30 = 6 cupcakes.

After spreading 6 cupcakes, he will have: 30 - 6 = 24 cupcakes left. We are told that he spreads chocolate on 1/2 of the remaining. This means that he spreads chocolate on 1/2 × 24 = 12 cupcakes.

Therefore, he will have 12 left

= 24 - 12

= 12

Therefore, the rest that'll get vanilla icing will be 12 cupcakes

The equation of the line is y = 2x + 8 that is parallel to the given line y = 2x + 2 and passes through the point (−3, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a straight line is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Two lines are parallel if they have the same slope.

Let us assume that the line is parallel to y = 2x + 2 and passes through the point (−3, 2).

The slope of the line y = 2x + 2 is 2, Since it is parallel, the slope is also 2. hence:

y - y₁ = m(x - x₁)

y - 2 = 2(x - (-3))

y - 2 = 2(x + 3)

y = 2x + 8

The equation of the line is y = 2x + 8

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An equation of the line that is parallel to the given line and passes through the point (−3, 2) is: 4x + 3y = -6.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph (see attachment), we can logically deduce that the line passes through the following points:

Points (x, y) = (3, -1)

Points (x, y) = (0, 3)

Substituting the given parameters into the formula, we have;

Slope, m = (3 + 1)/(0 - 3)

Slope, m = 4/-3

Slope, m = -4/3.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ -4/3 = -4/3

Note: m represents the slope.

At point (-3, 2), an equation of the other line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y - 2 = -4/3(x - (-3))

y - 2 = -4/3(x + 3)

y - 2 = -4x/3 - 4

y - 2 = -4x/3 - 4 + 2

y = -4x/3 - 2

Multiplying all through by 3, we have:

3y = -4x - 6

Rearranging the equation, we have:

4x + 3y = -6

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Answer:

150

Step-by-step explanation:

1. In the context of spacetime, the locus of points equidistant from the origin of a spacetime plane is a hyperbola.

In Euclidean space, the distance between two points is given by the Pythagorean theorem, which only considers spatial dimensions. However, in spacetime, the concept of distance is extended to include both spatial and temporal components. The spacetime distance, also known as the interval, is given by the Minkowski metric:

ds^2 = -c^2*dt^2 + dx^2 + dy^2 + dz^2,

where c is the speed of light, dt represents the temporal component, and dx, dy, dz represent the spatial components.

To determine the locus of points equidistant from the origin, we need to find the set of points where the spacetime interval from the origin is constant. Setting ds^2 equal to a constant value, say k^2, we have:

-c^2*dt^2 + dx^2 + dy^2 + dz^2 = k^2.

If we focus on a spacetime plane where dy = dz = 0, the equation simplifies to:

-c^2*dt^2 + dx^2 = k^2.

This equation represents a hyperbola in the spacetime plane. It differs from a circle in Euclidean space due to the presence of the negative sign in front of the temporal component, which introduces a difference in the geometry.

Therefore, the locus of points equidistant from the origin in a spacetime plane is a hyperbola.

(Note: The explanation provided assumes a flat spacetime geometry described by the Minkowski metric. In the case of a curved spacetime, such as that described by general relativity, the shape of the locus of equidistant points would be more complex and depend on the specific curvature of spacetime.)

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The margin of error will be larger for a 99% confidence interval than for a 95% confidence interval, assuming the same sample size and level of variability in the data.

The margin of error is the range of values above and below the point estimate within which the true population parameter is likely to fall.

A higher level of confidence requires a larger margin of error. This is because as the level of confidence increases, the range of values that contains the true population parameter becomes wider.

For example, a 95% confidence interval has a margin of error of plus or minus two standard errors of the point estimate.

Increasing the confidence level to 99% would require a wider range of values, and therefore a larger margin of error, such as plus or minus three standard errors of the point estimate.

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 By the property of alternate interior angles, Option (1) is the correct statement.    

  ∠XWY ≅ ∠ZYW

   Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent.

By this property,

Lines XW and YZ are the parallel lines intersected by a transversal WY.

Here, ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.

Therefore, interior alternate angles ∠XWY and ∠ZYW will be congruent.

Hence, Option (1) will be the correct option.

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Answer:

6

Step-by-step explanation:

3√216 = 6

or

6 *6 is 36

36 * 6 is 216

Hope this helps!

The number 15.74 is nearest to the number 8. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 15.93 - 0.19

Simplify the expression, then we have

⇒ 15.93 - 0.19

⇒ 15.74

The number 15.74 is closest to the number 8. Then, at that point, the right choice is B.

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Answer:q = 6+43r/9

Step-by-step explanation:

Assuming R=9q-43r-6 is what you meant
R+6 = 9q - 43r
R + 6 + 43r = 9q
q = 6+43r/9

Answer:

0.265

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the quiz

Answer: \(2\sqrt{50\\}\)

Step-by-step explanation:200=2^3*5^2 so \(\sqrt{200}=2\sqrt{50}\) so our answer is \(2\sqrt{50}\)

The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

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The model used by Victor in the linear equation is incorrect,

The parameters are that;

Victor saved: $89.25

Cost of the bicycle = $129.85

Thus, to find the amount extra that he will need to purchase the bicycle, the equation model should be;

$89.25 + x = $129.85

This can be expressed in words as;

The amount of money he already has saved + the amount of money he still requires = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

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Complete question is;

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor writes the equation below to help him determine the additional amount that he needs to solve to have enough to buy the bicycle.

89.25 + 129.85 = x

Does Victor's equation correctly model the problem?

Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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The probability that they each win six games is 0.225.  

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Applying binomial distribution,

Here n=12 and p=0.5

(a) They each win seven games. P =

\(P(X=k)=\frac{n !}{k !(n-k) !} \times p^k \times(1-p)^{n-k}\)

The probability that they each win six games is k=6.

(b) The human chess champion wins eleven games. P =

\(\begin{aligned}& P(X=6)=\frac{12 !}{6 !(12-6) !} \times 0.5^6 \times(1-0.5)^{12-6} \\& P(X=6)=\frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 !}{6 \times 5 \times 4 \times 3 \times 2 \times 6 !} \times 0.015625 \times 0.015625 \\& P(X=6)=11 \times 2 \times 3 \times 2 \times 7 \times 0.015625 \times 0.015625 \\& P(X=6)=0.225\end{aligned}\)

(c) The computer wins at least eleven games. P =

Therefore, The probability that they each win six games is 0.225.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer: there’s no attachment so I’m not sure what you need help with

Step-by-step explanation:

Answer:

5x-4=11

Step-by-step explanation:

so you multiply 5 times x (a number) and subtract 4 and it equals to 11

Answer:

A general line can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

if we know that the line passes through the points (x1, y1) and (x2, y2), the slope will be:

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

In this case, we can see that the line passes through the points (0,0) and (4,2) then the slope will be:

a = (2 - 0)/(4 - 0) = 2

Then the equation is:

y = 2*x + b

And because we have the point (0, 0), we know that the y-intercept is equal to zero, then the equation is:

y = 2*x

This means that Pablo does 2 revolutions per feet, and we already found that the slope of the equation is 2.

Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

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Answer: 7

Concept:

When encountering questions that ask for simplifying operation expressions, the order of operation would be following the PEMDAS method:

Solve:

Given expression

3 (2 - 5) + 4 (6 - 2)

Simplify values in the parentheses

=3 (-3) + 4 (4)

Simplify by multiplication

=-9 + 16

Simplify by addition

=\(\boxed{7}\)

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3(2 - 5) + 4(6 - 2)

By using the order of operations,

3(2 - 5) + 4(6 - 2)

3(-3)+4(4)

-9+16

7

I hope it helped U

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the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.

Since there are 9 pairs of boots in the pile, we can determine that each pair has two boots. If at most one boot is chosen from each pair, the maximum number of boots chosen would be 18.

To guarantee that a matched pair of boots is chosen, we must pick at least two boots from the pile, one from each boot of the same pair. Therefore, the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.

Number of pairs of boots in the pile = 9

Number of boots in each pair = 2

Maximum number of boots that can be chosen = 9 x 2 = 18

Minimum number of boots required to guarantee a matched pair = 2

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Answer:

oi and you might get 50 points

Answer:

Thank you!

Step-by-step explanation:

You are making my day! BTW it is 25 points.

The probability of rolling an integer is

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

Sides = 6

Integer sides = 6

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

P(Integer) = Integer sides/Total sides

So, we have

P(Integer) = 6/6

Evaluate

P(Integer) = 1

Hence, the probability is 1

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The table for the parabola is

x y

-2 24

0 0

2 8

4 0

6     -24

To create a table for a parabola with equation y = -2x^2 + 8x, we can simply plug in values of x and solve for y.

with x-values from -2 to 6,:

For x = -2, y = -2(-2)^2 + 8(-2) = -24

For x = 0, y = -2(0)^2 + 8(0) = 0

For x = 2, y = -2(2)^2 + 8(2) = 8

For x = 4, y = -2(4)^2 + 8(4) = 0

For x = 6, y = -2(6)^2 + 8(6) = -24

To plot the parabola on a graph, we can plot the points from the table and draw a smooth curve through them. The graph of y = -2x^2 + 8x looks like a downward-facing parabola with its vertex at the point (2, 8).

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