If a (A) a+b
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MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the nee price of a bag, y, given an original price, p?​

we know that

100%+28%=128%=128/100=1.28

so

the value of y is equal to

Answer:

4x10-4=36

Step-by-step explanation:

Lorenzo ate 1 bar from each. so 36 is left.

Answer:

4 × 10 - 4 = 36 granola bars

Step-by-step explanation:

4 packages with 10 bars each means 40 bars (4 packages × 10 bars each = 40 bars total)

one bar from each package

there are 4 packages so if he eats only one from each then he eats 4 bars total

40 bars total - 4 bars he ate = 36 bars left over

If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

Answer:

5n-9

Step-by-step explanation:

For the given discrete data series,

Median = 4'7"

Mode = 4'8"

Range = 1'3"

To begin with, let us arrange the given discrete data series in ascending order as follows:

3'7"     3'11"    4'3"    4'6"      4'7"      4'7"     4'8"      4'8"      4'8"     4'9"   4'10"

To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"

To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.

To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"

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Answer:

Minimum

Step-by-step explanation:

Since the leading coefficient is positive, this means that the parabola will open upward in a U-shape, showing that its vertex will be a minimum.

The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

The largest interval I over which the solution is defined is (-∞, ∞).               I = (-∞, ∞)

To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).

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Answer:

6 cm

13 cm

14 cm

Step-by-step explanation:

a) length of AC

= 3² + 5²

= √36

= 6 cm

b) length of BG

= 5 cm + 8 cm

= 13 cm

c) length of BF

= 6 cm + 8 cm

= 14 cm

Answer:

the X intercept is the horizontal line on the cordintae plane while the Y intercept is the vertical line :)

Step-by-step explanation:

Answer:

x -intercept- the point where the line cuts across the x-axis. the coordinate is always in the form (0, y)

y -intercept- the point where the line cuts across the y-axis. the coordinate is always in the form (x, 0)

Answer:

clockwise

Step-by-step explanation:

Answer:

Clockwise

Step-by-step explanation:

The extreme points (x, y) along the curve are (-1, -1) and (0, 0).

The given function f(I, y) = e² x² + xy + y² = 1 represents a quadratic equation in two variables, x and y. To find the extreme points, we need to determine the values of x and y that satisfy the equation and minimize or maximize the function.

a) The function defined by f(x, y) = e² x² + xy + \(y^2\) - 1 takes on a minimum and a maximum value along the curve.

To find the extreme points, we need to find the critical points of the function where the gradient is zero.

Step 1: Calculate the partial derivatives of f with respect to x and y:

∂f/∂x = 2\(e^2^x\) + y

∂f/∂y = x + 2y

Step 2: Set the partial derivatives equal to zero and solve for x and y:

2\(e^2^x\) + y = 0

x + 2y = 0

Step 3: Solve the system of equations to find the values of x and y:

Using the second equation, we can solve for x: x = -2y

Substitute x = -2y into the first equation: 2(-2y) + y = 0

Simplify the equation: -4e² y + y = 0

Factor out y: y(-4e^2 + 1) = 0

From this, we have two possibilities:

1) y = 0

2) -4e²  + 1 = 0

Case 1: If y = 0, substitute y = 0 into x + 2y = 0:

x + 2(0) = 0

x = 0

Therefore, one extreme point is (x, y) = (0, 0).

Case 2: If -4e^2 + 1 = 0, solve for e:

-4e²  = -1

e²  = 1/4

e = ±1/2

Substitute e = 1/2 into x + 2y = 0:

x + 2y = 0

x + 2(-1/2)x = 0

x - x = 0

0 = 0

Substitute e = -1/2 into x + 2y = 0:

x + 2y = 0

x + 2(-1/2)x = 0

x - x = 0

0 = 0

Therefore, the second extreme point is (x, y) = (0, 0) when e = ±1/2.

b) The equation (1+x)e = (1+y)e* is satisfied along the line y = x.

To find a critical point on this line where the equation is neither locally uniquely solvable for x nor y, we need to find a point where the equation has multiple solutions.

Substitute y = x into the equation:

(1+x)e = (1+x)e*

Here, we see that for any value of x, the equation is satisfied as long as e = e*.

Therefore, the equation is not locally uniquely solvable for x or y along the line y = x.

c) Taylor expansion up to degree 2:

To understand the solution set of the equation in the vicinity of the critical point, we can use Taylor expansion up to degree 2.

2. Expand the function f(x, y) = e²x²  + xy + \(y^2\) - 1 using Taylor expansion up to degree 2:

f(x, y) = f(a, b) + ∂f/∂x(a, b)(x-a) + ∂f/∂y(a, b)(y-b) + 1/2(∂²f/∂x²(a, b)(x-a)^2 + 2∂²f/∂x∂y(a, b)(x-a)(y-b) + ∂²f/∂y²(a, b)(y-b)^2)

The critical point we found earlier was (a, b) = (0, 0).

Substitute the values into the Taylor expansion equation and simplify the terms:

f(x, y) = 0 + (2e²x + y)(x-0) + (x + 2y)(y-0) + 1/2(2e²x² + 2(x-0)(y-0) + 2(\(y^2\))

Simplify the equation:

f(x, y) = (2e² x² + xy) + ( x² + 2xy + 2\(y^2\)) + e² x² + xy + \(y^2\)

Combine like terms:

f(x, y) = (3e² + 1)x² + (3x + 4y + 1)xy + (3 x² + 4xy + 3 \(y^2\))

In the vicinity of the critical point (0, 0), the solution set of the equation, given by f(x, y) = 0, looks like a second-degree polynomial with terms involving  x² , xy, and  \(y^2\).

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The board is 3 1/6 feet left. The correct option is C.

To find out how much of the board is left, we need to subtract the length of the section that was cut off from the original length of the board:

6 2/3 - 3 1/2

To subtract these two mixed numbers, we need to find a common denominator. The smallest common denominator of 3 and 2 is 6:

Next, we can simplify the fractions,

62/3 - 3 1/2

= 20/3 - 7/2

= (40 - 21)/6

= 19/6

= 3 1/6 feet.

Therefore, the answer is C. 3 1/6 feet.

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Answer: $1.05 per orange

Step-by-step explanation:

12.33 - 2.88 = 9.45

9.45 ÷ 9 = 1.05

Using it's formula, the mean absolute deviation of Yi's times was of:

B. 0.4 seconds.

In this problem, the mean is given by:

M = (16.2 + 16.6 + 15.6 + 15.6)/4 = 16

Hence the mean absolute deviation is of:

MAD = (|16.2 - 16| + |16.6 - 16| + |15.6 - 16| + |15.6 - 16|)/4 = 0.4.

Hence option B is correct.

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To test whether a data model is biased, one can compute the average difference between a predicted result and an actual result using the bias() function.

Unreasonably supporting or opposing someone or something because you allowed your opinions to cloud your judgement: The senator accused the media of being biased. Journalists need to be objective and free of political prejudice. Cognitive biases are systematic thinking errors that are often learned from cultural and personal experiences.

They lead to perceptional distortions when people make decisions. Even though data may appear to be objective, it can still be biased because it is gathered and handled by humans. We are not objective in the way we perceive things. Biases can be deliberate or unintentional. If given the choice between three shirts, a person might choose the one in their preferred hue above the other two.

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Correct Question:

A data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

Rounding to the nearest hundredth, the area of the sector is approximately 152.30 cm².

To find the area of a sector, you can use the formula:

\(Area = (\theta /360) \times \pi \times r^2\)

where θ is the central angle and r is the radius.

Plugging in the given values:

θ = 144°

r = 11 cm

π = 3.14

\(Area = (144/360) \times 3.14 \times 11^2\)

Simplifying:

\(Area = (0.4) \times 3.14 \times 121\)

\(Area = 48.4 \times 3.14\)

\(Area = 152.296 cm^2.\)

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Answer and Step-by-step explanation:

Solve for m.

First, distribute the 5.

5 + 20m - 2m = -13

Combine like terms.

5 + 18m = -13

Subtract 5 from both sides of the equation.

18m = -18

Divide by 18 to both sides of the equation.

m = -1 <- This is the answer.

#teamtrees #PAW (Plant And Water)

\(\longrightarrow{\green{ \: m = - 1 }}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(5 \: (1 + 4m) - 2m = - 13\)

➼ \( \: 5 + 20m - 2m \: = \: - 13\)

➼ \( \: 18m = - 13 - 5\)

➼ \( \: 18m = - 18\)

➼ \( \: m = \frac{ - 18}{18} \)

➼ \( \: m = - 1\)

\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)

\(5 \: (1 + 4 \times - 1) - 2 \times - 1 = - 13\)

➼ \( \: 5 \: (1 - 4) + 2 = - 13\)

➼ \( \: 5 \times ( - 3) + 2 = - 13\)

➼ \( \: - 15 + 2 = - 13\)

➼ \( \: - 13 = - 13\)

➼ \( \: L.H.S.=R. H. S\)

Hence verified.

\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

Step-by-step explanation:

z=9(x+2)

z=9x+18

Subtract 18 from both sides

z-18=9x+18-18

z-18=9x

Divide both sides by 9

z-18/9 =x

Therefore

X= z-18/9

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

A parallelogram that must be a square can be described by the statement: "A parallelogram in which all angles are right angles (90 degrees) is a square."

In a parallelogram, opposite sides are parallel and congruent, and opposite angles are also congruent. However, for a parallelogram to be a square, it must have additional properties:

All angles are right angles: In a square, all four angles are equal and measure 90 degrees. This distinguishes a square from a general parallelogram where the angles can be acute or obtuse.

All sides are congruent: In a square, all four sides are equal in length. This equality of side lengths sets a square apart from a rectangular parallelogram, where only opposite sides are congruent.

Diagonals are congruent and bisect each other at right angles: The diagonals of a square are equal in length and intersect at right angles, dividing the square into four congruent right triangles.

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Complete question:

Which statement describes a parallelogram that must be a square? A parallelogram with opposite sides that are congruent and diagonals that bisect the angles. A parallelogram with a right angle and diagonals that bisect the angles. A parallelogram with a right angle and opposites sides that are congruent. A parallelogram with all sides congruent.

Answer: The answer is y=-7x. yeah

Answer:

Step-by-step explanation:

A) 100 / 4 = 25 ✅

B) 150 / 10 = 15❌

C) 225 / 9 = 25✅

D) 275 / 11 = 25✅

E) 100 / 5 = 20 ❌

(a) D. One is 95% confident that the true mean gas mileage for cars like the ones in the sample is between [lower bound] mpg and [upper bound] mpg.

(b) A. Without knowing how the data were selected, one must be cautious about generalizing to all 2010 cars.

(a) To find the 95% confidence interval for the gas mileage of 2010 vehicles, we need to calculate the mean and standard deviation of the sample and use these values to construct the interval.

Given that the table of fuel economy data is not provided in the question, we cannot calculate the confidence interval directly. However, the correct interpretation of the confidence interval can be determined based on the properties of confidence intervals.

A confidence interval provides a range of plausible values for the population parameter, in this case, the mean gas mileage. The interpretation of a 95% confidence interval is that if we were to repeat the sampling process many times and construct 95% confidence intervals, about 95% of these intervals would contain the true population mean.

Therefore, the correct interpretation is that one is 95% confident that the true mean gas mileage for cars like the ones in the sample is between the lower bound and upper bound of the confidence interval.

(b) The question asks whether the confidence interval captures the mean gas mileage for all 2010 vehicles. To answer this, we need to consider the representativeness of the sample and the potential sources of bias in the data collection process.

Without knowing how the data were selected, it is difficult to make definitive conclusions about the population of 2010 vehicles. If the sample of vehicles is representative of the entire population of 2010 vehicles, then there is a higher likelihood that the confidence interval captures the true mean gas mileage.

However, if the sample is not representative, or if there are biases in the data collection process, the confidence interval may not accurately represent the true mean gas mileage for all 2010 vehicles. Therefore, it is important to exercise caution when generalizing the results from the confidence interval to the entire population of 2010 vehicles.

In summary, the confidence interval provides a plausible range of values for the mean gas mileage of 2010 vehicles, but the representativeness and potential biases in the sample should be taken into consideration when drawing conclusions about the entire population.

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Constant of variation = number of chairs/ spacing.

80/16 = 5

The answer is B.5

The nurse should administer 6 tablets per dose.

To calculate this, divide the total daily dose (300 mg) by the dose per tablet (50 mg):

300 mg / 50 mg = 6 tablets

Since the dose is divided equally every 6 hours, the nurse should administer 6 tablets every 6 hours.

It's important for the nurse to double check the medication order and dosing calculations before administering any medication to ensure the safety and well-being of the client. In addition, the nurse should monitor the client's response to the medication and report any adverse effects to the healthcare provider.

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