when determining a 95onfidence interval for a parameter, if the sample size increases, the interval width: a. increases b. decreases c. stays the same d. varies depending on the data

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

On solving the provided question, we can say that the function is  # minimumCost funtion; def minimumCost(red,blue,blueCost):  # declare cost_array and append 0 to it

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

the function is

# minimumCost funtion

def minimumCost(red,blue,blueCost):

   # declare cost_array and append 0 to it

   cost_array = [0]

   # set current_cost to 0

   current_cost = 0

   is_blue = False

   # iterate over the length of red array

   for i in range(len(red)):

        # if red's cost is less than blue's cost

       if red[i] < (blue[i] + blueCost):

           current_cost += red[i]

           is_blue = False

       else:    

           # if it is already on blue line

           if is_blue:

               current_cost += blue[i]

           else:

               current_cost += blue[i] + blueCost

           is_blue = True

      # append the current_cost in cost_array

       cost_array.append(current_cost)

   return cost_array

if name == "__main__":

   # get red_size

   red_size = int(input())

  # get red array

   red = []

   for r in range(red_size):

       red.append(int(input()))

   # get blue_size

   blue_size = int(input())

   # get blue array

   blue = []

   for b in range(blue_size):

       blue.append(int(input()))

   # get blue cost

   blueCost = int(input())

   # find minimumCost

   cost_array = minimumCost(red,blue,blueCost)    

   print()

   print()

   print("OUTPUT")

   print("\n".join([str(i) for i in cost_array]))

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Caleb pays $40 for 4 fence posts and $54 for 3 fence panels, resulting in a total cost of $94 for 4 fence posts and 3 fence panels.

Let's assign variables to unknown quantities. Let's say the cost of a fence post is "p" and the cost of a fence panel is "q". We need to find the total cost of 4 fence posts and 3 fence panels.

From the given information, we can set up the following equations:

Equation 1: 5p + 4q = 122

Equation 2: 21p + 20q = 570

To solve these equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can express "p" in terms of "q":

5p = 122 - 4q

p = (122 - 4q) / 5

Substitute this value of "p" into Equation 2:

21((122 - 4q) / 5) + 20q = 570

Now we can solve this equation for "q" to find the cost of a fence panel.

After solving the equation, we find:

q = 18

Substitute the value of "q" back into Equation 1 to find the cost of a fence post:

5p + 4(18) = 122

5p + 72= 122

5p = 50

p = 10

Now we know that the cost of a fence post is $10 and the cost of a fence panel is $18.

To find the total cost of 4 fence posts and 3 fence panels, we can calculate:

Total cost = (4 * cost of a fence post) + (3 * cost of a fence panel)

Total cost = (4 * 10) + (3 * 18)

Total cost = $40 + $54

Total cost = $94

Therefore, Caleb pays $94 for 4 fence posts and 3 fence panels.

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Answer:

a = c * SinФ

Step-by-step explanation:

SinФ = opp / hyp

c = hyp

a = opp

SinФ = a / c

therefore

a = c * SinФ

Answer:

\((\frac{15}{2},6)\)

Step-by-step explanation:

Hey, Grace! Pleasure to meet you.

To solve this problem, I would strongly suggest for you to use the midpoint formula.

I have attached an image below of the formula used for plugging in values.

Confused? Let me show you! :)

M means midpoint by the way...

M = \((\frac{8+7}{2},\frac{10+2}{2}) = (\frac{15}{2} ,6)\)

There you go! Let me know if you have any questions, and best of luck with the rest of your assignment.

Hey there mate ;)

The value is x = 18

For explanation please check attached image for it.

Hope it helps.

Answered by Benjemin :)

Answer:

no y=10/x is not a linear function

Step-by-step explanation:

linear functions must be able to be writien as y=mx+b (the equation for a line whare b=y-intercept and m=slope) so If it can be written then it is a linear function y=10/x cannot so it is not a function

Given:

In \(\Delta ACR, AC=19, CR=13, AR=12\).

To find:

The list of angles in order from least to greatest.

Solution:

In a triangle, the sides of triangles are completely depend on the interior of the triangle. In the triangle, the longest side has the largest opposite angle and the shortest side has the smallest opposite angle.

Arrange the sides of the triangle ACR in ascending order.

\(12<13<19\)

\(AR<CR<AC\)

It means the order of the opposite angles to sides is:

\(\angle C<\angle A<\angle R\)

Therefore, the list of angles in order from least to greatest is \(\angle C,\angle A,\angle R\).

A planning phase for an engineering component generated 80 engineering drawings. The QA team randomly selected 8 drawings for inspection. This exercise can BEST be described as example of random sampling.

The exercise can be described as an example of random sampling, which is a statistical technique used to select a subset of individuals or items from a larger population, in a way that each member of the population has an equal chance of being selected. In this case, the 80 engineering drawings represent the population, and the QA team randomly selecting 8 of them for inspection is a form of random sampling.

By selecting the drawings randomly, the QA team can get an unbiased representation of the population and make inferences about the quality of the engineering component as a whole based on the inspection results of the selected subset.

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Answer:

5°F

Step-by-step explanation:

Given that the average is obtained from;

Average = sum of scores / number of scores

Average temperature = 19.8°F

Let the temperature of the fifth day be x

Hence;

19.8 = 32 + 30 + 22 + 10 + x/5

19.8 = 94 + x/5

x= (5×19.8) -94

x= 5°F

Answer:

slope = - 50

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 2400) and (x₂, y₂ ) = (12, 2000) ← 2 points on the line

m = \(\frac{2000-2400}{12-4}\) = \(\frac{-400}{8}\) = - 50

Answer:

Apple: $2.50

Orange: $1.75

Step-by-step explanation:

Let A represent apples and Y represent Orange

We have equations

9A + 6Y = $33

18A  + 20 Y = $80

Let's find out the cost of oranges first. Multiply the first equation by -2

-18A - 12Y = $-66

18A + 20 Y = $80

8Y = $14

Y = $1.75

Now let's put 1.75 back in the Y to find the cost of apple

18A  + 20(1.75) = $80

18A + 35 = $80

18A = $45

A = $2.50

Answer:2 50

Step-by-step explanation:

Answer:

hope you can understand

Answer:

14

Step-by-step explanation:

(-2) + (-15) - (-3)​

~Simplify

-2 - 15 + 3

~Subtract

-17 + 3

~Add

-14

Best of Luck!

Answer:

−2−15−(−3)

=−17−(−3)

=−14

Answer:

85

Percentage Calculator: 357 is what percent of 420? = 85.

Answer:

85%

Step-by-step explanation:

357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85

Answer:

3/8

Step-by-step explanation:

Answer:

1. m=1/5

2. the slope on the first triangle has a more shallow slope and the second has a steeper slope.

Step-by-step explanation:

The slope of the function is m = 1/5.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Given that  skateboard ramp with a base length of 110 inches has a height of 30 inches.

Since plan for a new ramp requires that for every 3 inches of height, there are 15 inches of base length.

The slope is m=1/5

Now the slope on the first triangle has a more shallow slope and the second has a steeper slope.

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Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

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The value of x in the equation is 6.

To solve the equation, let's first simplify the left side:

One-third (12x - 24) = 16

Dividing both sides by one-third is the same as multiplying by its reciprocal, which is 3:

3 * (One-third (12x - 24)) = 3 * 16

Now we can simplify further:

12x - 24 = 48

Next, let's isolate the variable x by adding 24 to both sides:

12x - 24 + 24 = 48 + 24

This simplifies to:

12x = 72

Finally, we'll solve for x by dividing both sides of the equation by 12:

12x / 12 = 72 / 12

x = 6

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Denote by X the arrival time of the first guest. The time of arrival of the first guest at a bank is modeled by the Poisson distribution, where the arrival rate is λ. Thus, the number of arrivals during time t is Poisson(λt).

Therefore, the distribution of X is Exponential(λ), which means that its probability density function is

f(x) = λe−λx, x > 0.

The expected value of X is E[X] = 1/λ and the variance is Var(X) = 1/λ².

b. Denote by Y the arrival time of the second guest.

The number of arrivals during time t is Poisson(λt). The first guest arrived at time X, so the number of arrivals from time X to time t is Poisson(λ(t - X)).

Thus, the arrival time of the second guest has the conditional probability density function:

f(y | X) = λe^(−λ(y−x)), y > x

Therefore, the unconditional probability density function of Y is obtained through the law of total probability:

f(y) = ∫f(y | x)f(x)dx

= ∫λe^(−λ(y−x))λe^(−λx)dx

= λ²e^(−λy), y > 0

Therefore, the distribution of Y is Exponential(λ), which is the same as that of X.

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odds= probability/ (1-probability)

Problem 14

Reason: The coefficients are numbers to the left of the variables

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

Problem 15

Reason: The degree is the largest exponent.

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

Problem 16

Reason: The term without any variables attached is the constant.

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

Problem 17

Reason: The four terms are 11x, 9x^3, -8y, and 5

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

Problem 18

Reason: Write the terms with the largest exponent first. Then have the exponents count down.

Step-by-step explanation:

Your monthly payments with taxes and insurance included would be $2,903.71. This is calculated by taking the loan amount of $450,000 and multiplying it by the simple interest rate of 6.00%. The result is $27,000, which is then divided by the length of the loan, 30 years. This gives you

the principal and interest portion of your monthly payment, which is $2,033.33. To that, you add your yearly taxes of $2,000 and insurance of $1,500, divided by 12 months, to get an additional $416.67 and $125, respectively. Adding these two numbers together gives you your total monthly payment of $2,903.71.

Answer:

-14

Step-by-step explanation:

12mn-8mt+9t²-6mt

12mn+9t²-14mt

the coefficient of mt is -14

The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m)​ will be -14.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given that

⇒ 4m(3n-2t)+3t(3t-2m)​

⇒  12mn -8mt + 9t² - 6mt

⇒  12mn + 9t² + 14 mt

Hence it's clear that the coefficient of mt will be -14.

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The slope of the line is -5 / 4.

The slope of a line is a measure of its steepness.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

Therefore,

slope = change in y / change in x

slope = y₂ - y₁ / x₂ - x₁

Using (1, -3)(-3, 2)

x₁ = 1

x₂ = -3

y₁ = -3

y₂ = 2

Therefore,

slope = 2 - (-3) / -3 - 1

slope = 2 + 3 / -4

slope = - 5 / 4

Therefore, the slope of the line is -5 / 4.

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The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

Step-by-step explanation:

Your answer

A = 73

B= 33

C = 40

D = 40

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The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.

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The properties of the quadratic equation y=-3x^2+6x+17 is Axis of symmetry - x=1, Vertex (maximum) - (1,20), Parabola opens downwards and the end behaviour is x→∞,y→-∞, x→-∞, y→-∞.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax^2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

The quadratic equation in the general form can be written as -

y=-3x^2+6x+17

Here, a=-3

b=6

c=17

An imaginary straight line known as the axis of symmetry divides a shape into two identical sections, making one part the mirror image of the other.

Here, the axis of symmetry is x=1.

The vertex of the equation is at the maximum or the lowest point of the parabola.

So, after plotting the graph the maximum point is (1,20).

The leading coefficient of the equation is -3, which is less than zero.

So, the parabola formed by the quadratic equation opens downwards and forms a upside-down U shaped parabola.

According to the equation has an even degree and the graph of  the parabola is leading towards negative infinity.

Therefore, it can be denoted as x→∞,y→-∞, (right end down) and as x→-∞, y→-∞ (left end down).

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