Consider the equation.

x+5/7=31/7

If you use the addition property of equality, what number would you add to both sides of the equal sign to isolate the variable?
___


What is the solution?
___

The interval of systolic blood pressure will be between 155 to 95

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

From the question, we are told that

Mean  x=125

Standard deviation = 10

The Percentage for men =99.75%

Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 10

Mean x= 125

Generally, the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = Mean ± (3x \(\sigma\))

G= 125 ±  (3 x 10)

G= 125 ±  (30)

G = 155 and 95

Hence the interval of systolic blood pressure will be between 155 to 95

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Answer:

Step-by-step explanation:

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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Answer:

20.8%

Step-by-step explanation:

250-198=52

52÷250=0.208x100=20.8

hope this helps

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The resulting marks on the number line would represent the positions of the square roots of different numbers. The distance between each mark would correspond to the value of the square root.

To represent the square root (√) on a number line, we can mark the positions of the square root of different numbers.

Starting from the origin (0), we can mark the position of the square root of various positive numbers by measuring the distance from the origin based on their square root value. For example, the square root of 1 (√1) is 1, so we can mark a point at 1 unit away from the origin. Similarly, the square root of 4 (√4) is 2, so we can mark a point at 2 units away from the origin.

We can continue this process for other numbers, marking the positions of their square roots on the number line. For instance, the square root of 9 (√9) is 3, so we can mark a point at 3 units away from the origin.

The resulting marks on the number line would represent the positions of the square roots of different numbers. The distance between each mark would correspond to the value of the square root.

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The possible length of the region after solving the quadratic equation is either 170ft or 50ft.

What is a quadratic equation?

A quadratic equation in algebra is any equation that can be written in the simpler form where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; an equation with a = 0 is thought to be degenerate because they become linear or even simpler.

Solution Explained:
Lets assume, length = x and width = y

So we know, the area and perimeter is supposed to be 8500 and 440 respectively

we form the equations,

1) 8500 = xy , and                       [Area = length*width]

2) 440 = 2(x + y)                           [ Perimeter = 2(length +width)]

   220 = x + y

So, x = 8500/y (from equation 1) and put the value of x in 2

220 = x + (8500/x)

After solving this we get the quadratic equation,

x^2 - 220x + 8500 = 0

Solving the equation, we get

x = 170 or, x = 50 which are the two possible lengths of the region.

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Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1

=====================================================

Explanation:

Let's say we have the data set {-4,-3,-2}. The value -2 is the largest.

If we follow algorithm 1, then the max will erroneously be -1 after all is said and done. This is because the max is set to -1 at the start even if -1 isn't in the data set. Then we see if each data value is larger than -1.

Each statement being false means we do not update the max to its proper value -2. It stays at -1.

This is why we shouldn't set the max to some random value at the start.

It's better to use the some value in the data set to initialize the max. Algorithm 2 is the better algorithm. Algorithm 1 only works if the max is -1 or larger.

Repeated-measures design would require the smallest number of subject

Repeated-measures design: Repeated measures design is a research design that involves multiple measures of the same variable taken on the same or matched subjects either under different conditions or over two or more time periods. For instance, repeated measurements are collected in a longitudinal study in which change over time is assessed

given that, a researcher conducts an experiment comparing two treatment conditions and obtains 20 scores in each treatment

Repeated-measures design would require the smallest number of subjects

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The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the sampling distribution of the mean.

The sampling distribution of the mean refers to the distribution of sample means obtained from repeated sampling from the same population.

In this case, we have 15,504 different samples of size 5 drawn from a population of 20 hospitals.

Each sample has its own sample mean. The relative frequency distribution of these sample means would specify the sampling distribution of the mean.

The sampling distribution of the mean is important in statistics because it allows us to make inferences about the population mean based on the distribution of sample means.

It helps us understand the variability of sample means and provides a basis for constructing confidence intervals and conducting hypothesis tests.

Therefore, the relative frequency distribution of the mean values from the different samples would describe the characteristics of the sampling distribution of the mean..

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The number of surveyed nurses that were health club members or were smokers is 227.

Let the total number of nurses be 800 nurses

n(U) = 800

Let H be health club members, n(H) = 564

Let S be smokers, n(S) = 430

If 325 of the health club members were smokers, then n(HnS) = 325 members.

The number of surveyed nurses that were health club members or were smokers = 800 - [( 564 - 430) + (564-325)].

The number of surveyed nurses that were health club members or were smokers = 600 - (134+239) = 600 - 373 = 227

The number of surveyed nurses that were health club members or were smokers is 227.

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During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.

However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.

By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.

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Answer:

where is the picture

Step-by-step explanation:

Answer:

where's the picture?

Step-by-step explanation:

Statistics is the science of conducting studies to collect, organize, summarize, analyze and draw conclusions from data.

Therefore, the correct option is: c

The statistics it involves using various methods to gather and analyze data to form hypotheses, experiments and draw conclusions. In order to do so, statistics uses a variety of tools and techniques to summarize and analyze data, including descriptive statistics, inferential statistics, and hypothesis testing.

Its main goal is to draw conclusions or make decisions based on data. In order to do so, statistics uses a variety of tools and techniques to summarize and analyze data, including descriptive statistics, inferential statistics, and hypothesis testing.

Additionally, statistics can also be used to monitor, study and report on a subject by looking at different options.

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Answer:

2 k 3 − 3 k 2 − 2 k

Step-by-step explanation:

Answer: ...

2k^3−3k^2−2k

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Answer:

x(x+2)

Step-by-step explanation:

is that how you do it?? i factorisation it out

Answer:

x(x+2) is the factored form

Step-by-step explanation:

x(x+2)=x²+2

Answer: x=620

Step-by-step explanation:

Answer:

48.5 and 34.5

Step-by-step explanation:

83 divided by 2 and then subtract 7

Answer:

45 and 38 equal 83 and 45 is 7 more than 38

The total cost functions associated with the two different methods for wrecking cars are as follows: 1. Method 1 (Hydraulic Car Crusher):

Total Cost = $2000 + $10 * Number of Cars

2. Method 2 (Fancy Shovel and Scoop):

Total Cost = $100 + $50 * Number of Cars

The average cost of each method can be calculated by dividing the total cost by the number of cars. For Method 1, the average cost is $10 per car ($2000 divided by the number of cars). For Method 2, the average cost is $50 per car ($100 + $50 per car).

The marginal cost represents the additional cost incurred by producing one more unit (car) using each method. In Method 1, the marginal cost is a constant $10 per car, as each additional car adds the same cost of $10. In Method 2, the marginal cost is $50 per car, as each additional car requires the payment of $50 to Rex's brother, Scoop.

To determine which method minimizes the cost of wrecking k cars per year, we need to compare the average cost for each method. If k is less than 40, Method 1 (Hydraulic Car Crusher) will have a lower average cost of $10 per car. If k is greater than or equal to 40, Method 2 (Fancy Shovel and Scoop) will have a lower average cost of $50 per car.

If the price for wrecking cars is $100 per car, the profit per car is given by the price minus the average total cost (ATC). For Rex, if p > ATC, which is $10, he will have a positive profit. Therefore, for Rex to have a positive profit, p must be greater than $10. Similarly, for Scoop, if p > ATC, which is $50, he will have a positive profit. Therefore, for Scoop to have a positive profit, p must be greater than $50.

In summary, if the number of cars wrecked per year (k) is less than 40, Rex should use Method 1 (Hydraulic Car Crusher) as it has a lower average cost. If k is greater than or equal to 40, Rex should use Method 2 (Fancy Shovel and Scoop) as it has a lower average cost. If the price for wrecking cars (p) is greater than $10, Rex will have a positive profit, and if the price is greater than $50, Scoop will have a positive profit.

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Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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The matrix a is not invertible.

We can use the fact that a matrix is invertible if and only if its determinant is non-zero.

Let λ be an eigenvalue of a with corresponding eigenvector x. Then we have:

a x = λ x

Multiplying both sides by a, we get:

\(a^2\)x = λ a x

Substituting a x = λ x, we get:

\(a^2\\\) x = λ² x

Similarly, we can show that:

\(a^3\) x = λ³ x  and

\(a^4\) x = λ⁴ x

Substituting these results into the characteristic polynomial, we get:

det(a - λI) = (λ⁴+λ³+λ²+λ) = λ(λ³+λ²+λ+1)

Since the characteristic polynomial has degree 4, we know that a must have 4 eigenvalues (counting multiplicity).

Suppose a were invertible. Then all of its eigenvalues would be non-zero, and so we would have:

det(a - λI) = (λ - λ1)(λ - λ2)(λ - λ3)(λ - λ4)

where λ1, λ2, λ3, λ4 are the eigenvalues of a.

But we just saw that the characteristic polynomial has a factor of λ, so at least one of the eigenvalues must be zero. This is a contradiction, so our assumption that a is invertible must be false.

Therefore, a is not invertible.

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The equation "Sixty-four reduced to a number is forty-eight" can be expressed algebraically or as algebra expression as: 64 - x = 48

In this equation, the variable "x" represents the unknown number that we are trying to find. By subtracting "x" from 64, we are reducing the value to 48.

Therefore, it can be translated into an algebraic equation:

64 - x = 48

Solving the equation allows us to determine the value of the variable "x," which represents the number we are looking for. The use of variables in algebraic expressions allows us to generalize problems and find solutions for different scenarios.

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Answer:

y=1.9

Step-by-step explanation:

Cuz its the answer.

Answer:

y = 1.9

Step-by-step explanation:

10.9y - 7.2y - 1.9y = -14.36 + 17.78

1.8y = 3.42

y = 1.9

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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The margin of error for the 95% confidence interval used to estimate the population proportion, given n = 186 and x = 103, is approximately 0.0643 (option b).

To find the margin of error for a confidence interval, we use the formula:

Margin of Error = \(Z * \sqrt{((p-hat * (1 - p-hat)) / n)}\),

where Z represents the z-score corresponding to the desired confidence level, p-hat is the sample proportion, and n is the sample size.

In this case, the sample size is n = 186 and the sample proportion is p-hat = x/n = 103/186.

First, we need to find the z-score corresponding to a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.

Substituting the values into the formula, we have:

Margin of Error = \(1.96 * \sqrt{ ((103/186 * (1 - 103/186)) / 186)}\) ≈ 0.0643.

Therefore, the margin of error for the 95% confidence interval is approximately 0.0643 (option b).

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Answer: $ 1,249.30 final payment    $31.34 saved

Statement                Reason

m∠A ÷ 5 = m∠B       1. Given

m∠B = 20                 2. Given

m∠A ÷ 5 = 20           3. Substitution

m∠A = 100                4. Multiplication property of equality

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m∠A ÷ 5 = m∠B  ____(1)

m∠B = 20 _____(2)

Substitute (2) in (1)

m∠A ÷ 5 = 20

m∠A / 5 = 20

Multiply 5 on both sides.

m∠A = 5 X 20

m∠A = 100

Thus,

Statement                Reason

m∠A ÷ 5 = m∠B       1. Given

m∠B = 20                 2. Given

m∠A ÷ 5 = 20           3. Substitution

m∠A = 100                4. Multiplication property of equality

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Therefore, the area of the trapezoid is 84cm².

A trapezoid (also known as a trapezium) is a four-sided geometric shape with two parallel sides and two non-parallel sides that meet at two endpoints. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The distance between the two bases is the height of the trapezoid. The formula for finding the area of a trapezoid is (base1 + base2) x height / 2. The formula for finding the perimeter of a trapezoid is the sum of the lengths of all four sides.

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

\(A = (B1 + B2) * h / 2\)

where A is the area of the trapezoid, B1 and B2 are the lengths of the parallel sides (also called bases), and h is the height (the perpendicular distance between the bases).

Using the values, you provided:

\(B1 = 8cm\\B2 = 16cm\\h = 7cm\)

Plugging these values into the formula, we get:

\(A = (8cm + 16cm) * 7cm / 2\)

\(A = 24cm * 7cm / 2\)

\(A = 168/2cm^{2}\)

\(A = 84cm^{2}\)

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Answer:

87.5

Step-by-step explanation:

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)