What is the slope in the equation y=2x + 3
A-Cannot be determined
B-3
C-5
D-2
​

The sample size used in the analysis was 300 sales calls for the given standard error.

The standard error (SE) is a statistical sample population's approximate standard deviation. The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error. The standard error tends to be reduced the more data points included in the mean computations.

Given that, Lori obtains a book adoption on 20%, and the proportion of 0.400.

The Standard error is given as:

SE = √[p(1-p)/n]

Rearranging for n we have:

n = p(1-p)/(SE²)

n = 0.20(1-0.20)/(0.0400)²

n = 300.25

Hence, the sample size used in the analysis was 300 sales calls.

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The complete question is:

The fully factored form of the expression is:

3a^2y(a^2y − 4)(ay + 2/ay)

To factor this expression completely, we can first factor out the greatest common factor, which is 3a^2y:

3a^4y^3 − 12a^3y^2 + 6a^2y = 3a^2y(a^2y − 4y + 2)

Next, we can factor the quadratic expression inside the parentheses by using the quadratic formula or by factoring out the greatest common factor of ay:

a^2y^2 − 4ay + 2 = ay [(a^2y − 4) + 2/ay]

= ay (a^2y − 4) + 2

The quadratic trinomial a2y^2 - 4ay + 2 cannot be factored further over the integers or rational numbers.

A quadratic trinomial is an algebraic expression that consists of three terms, where the highest power of the variable is 2. In other words, a quadratic trinomial has the form ax^2 + bx + c, where a, b, and c are constants and a is not equal to zero.

Therefore, the fully factored form of the expression is:

3a^2y(a^2y − 4)(ay + 2/ay)

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True. Post-implementation evaluation refers to the process of evaluating the performance and effectiveness of a new system after it has been implemented.

It involves assessing the extent to which the system meets the intended objectives, as well as its overall quality and impact on the organization. The evaluation can be carried out through various methods such as user feedback, performance metrics, and system testing.

Therefore, post-implementation evaluation is primarily concerned with assessing the quality of a new system and its ability to deliver the expected benefits to the organization.

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Answer:

See below.

Step-by-step explanation:

\(h(x)=-1/2(x - 4)^2 + 3\)

The domain is all real numbers.

The range is all real numbers \(\leq 3\).

The domain of the function will be all real numbers and the range of the function will be (-∞, 3].

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,

y = a(x - h)² + k

The domain means all the possible values of x and the range means all the possible values of y.

The equation of the parabola is given below.

h(x) = – 1/2(x – 4)² + 3

The vertex of the parabola is at (4, 3). The parabola is a downward parabola.

The domain of the function will be all real numbers and the range of the function will be (-∞, 3].

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We know that

So, we can see that g(x) is f(x) reflected in the x-axis. But, it has another change which is a downward movement in 3 units.

So, we can deduce that

Sketch of the situation:

When you reflect f(x) in the x-axis, you obtain something like -f(x).

We can see that -f(x) intersect the y-axis in -1. But, g(x) intersect the y-axis in -4.

So, we need to move the function 3 units down. Whe we make the movement the graph will intersect the y-axis in -4 because -1-3=-4.

Answer:I'm pretty sure the ratio is 3:1

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Answer:

0.27272727272 is the reciproval of 3 2/3

The correct answer is d  is used to test the effect of the IV on the variability of the DV.

The correct answer is d. The "stand alone F test" is used to test the effect of the independent variable (IV) on the variability of the dependent variable (DV). It is an inferential test commonly used in analysis of variance (ANOVA) to determine if there is a significant difference among the means of three or more groups.

Option a is incorrect because the "stand alone F test" is an inferential test that involves making a conclusion about a population based on sample data.

Option b is incorrect because the "stand alone F test" is used to test the assumption of equal variances, not homogeneity of variance.

Option c is incorrect because the "stand alone F test" can be directional or non-directional, depending on the research question and hypothesis being tested.

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Answer:

So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2

Step-by-step explanation:

When expanding an algebraic expression like (4x + 1)(2x7 - 2), you can use the distributive property to find the product of each term in the first set of parentheses with each term in the second set of parentheses, and then add them together. The distributive property is the process of multiplying one term in the parentheses by each of the terms outside the parentheses.

Here is the correct expansion of (4x + 1)(2x7 - 2):

(4x + 1)(2x7 - 2) = 4x(2x7) + 4x(-2) + 1(2x7) + 1(-2)

= 8x^27 + -8x2 + 2x71 + -21

= 8x^27 + -8x2 + 2x7 + -2

= 8x^27 - 8x2 + 2x7 - 2

So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2

It's important to note that you can also use FOIL method which is the acronym for the steps of the distributive property, First, Outside, Inside, Last.

The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

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Answer:

1

Step-by-step explanation:

:)

Answer:

1

Step-by-step explanation:

3(2x+1)=9      *multiply 3 to 2x and 1*

6x + 3 = 9     *subtract 3 from both sides*

6x = 6           *divide each side by 6

x=1

Molly would need 43 feet of fencing to fence the triangular area.

What is Pythagorean theorem?

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

According to the given question:

We can see that the area is in the form of a right-angled triangle. Since only two sides of the triangle is given, we could utilize Pythagoras theorem to our advantage to find out the third side.

In Δ ABC

AB² (base) + AC² (perpendicular) = BC² (hypotenuse)

Substituting the values of AB as 10 feet and BC as 18 feet

AC²= BC²- AB ²

∴AC²= 224  

∴AC= 14.96 cm

Amount of fence required by molly would equal perimeter of the area.

⇒The perimeter of the area would equal AB+BC+AC

⇒Summing up the values of AB, AC and BC

Perimeter= 10+14.96+18= 42.96 feet which is about 43 feet

Hence, Molly would require 43 feet of fencing.

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The resulting equation written in standard form is 16x² - 22x + 6 = 0.

Quadratic Equation in Standard Form: ax² + bx + c = 0

a, b and c are known values. a can't be 0.

"x" is the variable or unknown (we don't know it yet).

The "solutions" to the Quadratic Equation are where it is equal to zero.

They are also called "roots", or sometimes "zeros"

We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)

Calculation for the given equation-

Now, y=-16x²+24x+6

Substitute, y = 12+2x in y = -16x²+24x+6.

=> 12+2x = -16x²+24x+6

=> 16x²-24x-6+12+2x = 0

=> 16x²-22x+6 = 0

Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.

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The complete question is-

The two equations are given below;

Y = 12 + 2x   linear equation

Y = -16x² + 24x + 6  quadratic equation

If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?

Answer:

62.5

Step-by-step explanation:

Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5

(c) To find the z-value for an adult who sleeps 6 hours per night, we need the mean and standard deviation of the sleep distribution. Without this information, we cannot calculate the z-value.

(a) To use the empirical rule, we assume that the distribution of sleep follows a bell-shaped or normal distribution. The empirical rule states that for a normal distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Given that the mean and standard deviation are not provided, we cannot calculate the exact percentages using the empirical rule.

(b) To find the z-value for an adult who sleeps 8 hours per night, we need the mean and standard deviation of the sleep distribution. Without this information, we cannot calculate the z-value.

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The indicated side of the triangle is 17√2 unit.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

The triangle is a right-angled triangle.

The length of the perpendicular = 17 unit.

Two angles of the triangle are 45° and 45°.

That means, base = 17 unit.

And the triangle is an isosceles triangle.

By the Pythagoras' theorem,

a = √(289 + 289)

a = √578

a = 17√2 unit.

Therefore, the value of a is 17√2 unit.

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The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer:

x^2    y^2

Step-by-step explanation:

i took the test

always read the comments

Answer: a. x2y2

Step-by-step explanation:

The coordinate of the other endpoint a line segment with endpoint of (-24, 8) and midpoint of (-16, 12) is ( -8,16 ).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2

Given the data in the question;

Midpoint (-16, 12)

Endpoint 1 (-24,8)

End point 2

Plug the given values in to the midpoint formula and solve for x₂ and y₂.

M = ( (x₁+x₂)/2, (y₁+y₂)/2

(x,y) = ( (x₁+x₂)/2, (y₁+y₂)/2

First, solve for the x-coordinate

x = (x₁+x₂)/2

2x = x₁ + x₂

2(-16) = -24 +  x₂

-32 = -24 +  x₂

x₂ = -32 + 24

x₂ = -8

Next, solve for the y-coordinate

y = (y₁+y₂)/2

2y = y₁ + y₂

2(12) = 8 + y₂

24 = 8 + y₂

y₂ = 24 - 8

y₂ = 16

Therefore, the coordinate of second endpoint is ( -8,16 ).

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Answer:

angle BDC= 95°............

Step-by-step explanation:

<NDC=<NCD (Given)

<NCD=35°.

<CAN=<DBN (Given)

<DBN=50°.

therefore, <CND = 180-35-35=110.

and <CND and <DNB are linear pair.

<CND+<DNB=180°

<DNB=180-110

<DNB=70.

therefore, <BDN = 180-50-70 = 60.

therefore, <BDC= 35°+60°=95°.

hope this helps you.

Answer: The car will travel 30 2/3 miles in 45 minutes.

Answer:

Please Mark as Brainliest!!

Step-by-step explanation:

The car will travel 30 2/3 miles in 45 minutes.

The car will travel 40 miles in 1 hour

The graph that shows a function and it's inverse is given as follows:

Graph D.

Suppose we have a function with definition given as follows:

y = f(x)

To obtain the inverse function, we must exchange the variables x and y, and then isolate the variable y.

This entire procedure is equivalent to a reflection over the line y = x, hence the third option is the correct option for this problem.

The reflection rule is given as follows:

(x, y) -> (y,x).

Hence:

Hence graph D represents a function and it's inverse in the context of this problem.

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The equation of the line that passes through (5, 7.5) and has a y intercept of 10 is y = -0.5x + 10

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Since the y-intercept is 10, hence the line passes through (0, 10). It also passes through (5, 7.5). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{7.5-10}{5-0}(x-0) \\\\y=-0.5x+10\)

The equation of the line that passes through (5, 7.5) and has a y intercept of 10 is y = -0.5x + 10

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Answer:

si d ecis que vegetta es una kk os matare

Step-by-step explanation:

Answer:

788.33

Step-by-step explanation:

Answer:

8/19

Step-by-step explanation:

Use this rule: a b/c=ac+b/c

2x8+3/8

The year the population will be 40000 can be estimated to be 2027.

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

We are given that;

p(n) = 18 e0.035n

Time = 2000years

Now, to estimate the year the population of the town will reach 40 thousand is to use logarithms. We can rewrite the population function as:

40 = 18 e0.035n

Taking the natural logarithm of both sides, we get:

ln(40/18) = 0.035n

Simplifying the equation, we get:

n = ln(40/18)/0.035

n = 27.26 years after 2000.

Therefore, by the given the graph answer will be 40000.

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x=root[3]{-1.500}=-1.14471

Answer:

Step-by-step explanation:

12% of 77 is 10.24 or 10.

Step-by-step explanation:

12/100 * 77

12*77=824

824/100

divide by 2

206/25

use long division method

8.24

Answer:

-3/9

Step-by-step explanation:

The equation would be: x * 9 + 5 = 2

Subtract 5 from each side: x * 9 = -3

Divide each side by 9: x = -3/9

I hope this helped, please mark Brainliest, thank you!!

Answer:

The answer is B