How many units are in beginning inventory if 30,000 units are budgeted for sales, 35,000 units are produced, and the desired ending inventory is 5,000 units?.

Confidence coefficient or confidence level for the interval is 0.95.

What is confidence coefficient?

The proportion of samples of a given size that may be anticipated to contain the true mean is all that the confidence coefficient is.

Confidence level:

Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.

For example,

A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.

Main Body :

Confidence Interval = 95%

Hence the confidence interval would be 0.95.

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The balloons which have Helium (He) in them will be the smallest.

Because it has the tiniest molecule when compared to the other gases, helium (he) will leak out the most quickly. Helium molecules can enter the balloon through microscopic pores because they are the tiniest molecules. more quickly than the other gases.

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The probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

calculation has been attached in the picture below

the probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232

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The linear function graphed on the grid will be g(x) = (15/2) x + 45. Option D is correct.

First, let us understand the linear equation:

When a graph is exhibited, a relationship between a number of variables results in a linear model. The variable will be of degree one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, we are given the x-intercept is - 6, and the y-intercept is 45.

Substitute the given values in the above formula, we will get;

x / (-6) + y / 45 = 1

- 15x + 2y = 90

y = (15/2) x + 45

g(x) = (15/2) x + 45

Thus, the linear function graphed on the grid will be g(x) = (15/2) x + 45. Option D is correct.

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The operations being done in each step are:

(1) Use the distributive property

(2) Subtraction property of equality.

(3) Addition property of equality.

(4) Division property of equality.

Two or more expressions with an equal sign are defined as an equation.

3(-3x-4) = 5x+2

Use distributive property:

-9x -12 = 5x + 2

Subtract 5x from both sides of the equation:

-14x -12 = 2

Add 12 to both sides of the equation:

-14x = 14

Divide both sides by -14:

x = -1

Hence, the operations being done in each step are:

(1) Use the distributive property

(2) Subtraction property of equality.

(3) Addition property of equality.

(4) Division property of equality.

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The value of x in the given equation, 2^(3x+1)=1/4, is x = -1

From the question, we are to solve the given given equation.

The given equation is

2^(3x+1) = 1/4

To solve the equation, we will determine the value of x.

Solving for x in the equation

2^(3x+1) = 1/4

Express 1/4 in index form

NOTE: 1/4 = 4^-1 = 2^-2

Thus,

The equation becomes

2^(3x+1) = 2^-2

Now, equate the powers

That is,

(3x + 1) = -2

3x + 1 = -2

Subtract 1 from both sides of the equation

3x + 1 - 1 = -2 - 1

3x = -3

Divide both sides of the equation by 3

3x/3 = -3/3

x = -1

Hence, the solution is x = -1

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Answer:

d) State constitution

Step-by-step explanation:

Missouri needs a state constitution to become a state. It is necessary for every state. Hence, option (d) is correct answer.

Answer:

-6

Step-by-step explanation:

2y=6x + c

(2 X 3) = (6 X 2) + C

C= - 12 + 6

= - 6

The numbers in bold are the point axes.

The last term b of the expression is 99

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP : Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Sum of first n terms of an AP : Sₙ = ( n/2) ( a+b )

where a = first term

b = last term

Given data ,

First term a = 3

Number of terms n = 12

Sum of n terms Sₙ = 612

Let the last term of the AP be = b

Sum of first n terms of an AP : Sₙ = ( n/2) ( a+b )

Substitute the values of a , Sₙ and n in the equation

612 = ( 12/2 ) ( 3 + b)

612 = 6 ( 3 + b )

Divide by 6 on both sides , we get

102 = 3 + b

Subtract 3 on both sides , we get

b = 99

Hence , the last term of the Arithmetic Progression is 99

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The algebraic expression, in terms of y , for the number of stickers John has is given by 4(y + 2)

How to write algebraic expression?

Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Number of stickers Albert has = y

Number of stickers Latika has = y + 2

Number of stickers John has = 4(y + 2)

The expression for the number of stickers John has = 4(y + 2)

For instance, if y = 3

Number of stickers Latika has = y + 2

= 2 + 2

= 4 stickers

Number of stickers John has = 4(y + 4?2)

= 4(3 + 2)

= 4(5)

= 20 stickers

Therefore, the expression which can be used to represent the number of stickers John has is 4(y + 2)

Complete question:

Albert has y stickers.

Latika has 2 more stickers than Albert.

John has 4 times as many stickers as Latika.

Write down an expression, in terms of y , for the number of stickers John has.

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The required solution of the system is shown below,
       5x+ 10      6x - 1
10        60            59
11         65            64
12         70            71

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here

We have 2 equations,
y = 5x + 10   - - - - - {1}
y = 6x - 1       - - - ---(2)
Substitute the value 10, 11, and 12 in both the equation to get the values of y as,
       5x+ 10      6x - 1
10        60            59
11         65            64
12         70            71

Thus, the solution of the system is shown in the table above.

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Answer: The percentage of a cereal box would be 1/3 or 33.33%.

Step-by-step explanation:

According to the area and the perimeter of the rectangle, the value of l is either 4 or 8 and the value of w is either 4 or 8

Area and perimeter of rectangle:

Area of the rectangle is the region occupied by a rectangle within its four sides or boundaries.

Perimeter of the rectangle is add the lengths of all four sides.

Given,

The area of the rectangle is 32 and the perimeter of the rectangle is 24.

Now, we have to find the value l and w.

When we apply the value on the formula of area of rectangle, then we get,

32 = l x w

It can be rewritten as,

l = 32/w

Now, apply the value of perimeter of the rectangle, then we get,

24 = 2(l + w)

Apply the value of l as 32/w, then we get,

24 = 2(32/w + w)

12 = 32/w + w

12 = (32 + w²)/w

w² - 12w + 32 = 0

When we factorize the polynomial, then we get,

=> (w - 4) (w - 8) = 0

So, the value of w is either 4 or 8.

So, now we have to find the value of l through this value,

=> w = 4 => l = 32/4 = 8

=> w = 8 => l = 32/4 = 4

Therefore, the value of l is either 4 or 8.

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Answer: $86,081.61

Step-by-step explanation:

Answer: 986,081.61

Step-by-step explanation:

Answer:

i am trying to gt points step-by-step explanation:

seeeeeee i gto

The slope is zero if the fraction's numerator is 0.

Given,

The line passes through the points;

(x₁, y₁) = (4, 2)

(x₂, y₂) = (-5, 2)

We have to find the slope of the line using slope formula;

Slope formula ;

m = (y₂ - y₁) / (x₂ - x₁)

Here,

m = (2 - 2) / (-5 -4 ) = 0/-9

Slope, m = 0

The slope is zero if the fraction's numerator is 0. If both points' y values are equal, this will take place. The graph would be a horizontal line and show that for all values of x, the y value remains constant.

That is,

The slope is zero if the fraction's numerator is 0.

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Answer:

20/1

Step-by-step explanation:

2000 divided by 100 = 20

100 divided by 100 = 1

The graph of the function graph (a) and the table in the figure represents the actual table of the function

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

f(x) = (3/4)^x

This equation can be re-expressed as

f(x) = (3/4)ˣ

The x values on the table of values are given as: x = -2, -1, 0, 1 and 2

The next step is to substitute these values

So, we have the following equations

f(-2) = (3/4)⁻² = 16/9

f(-1) = (3/4)⁻¹ = 4/3

f(0) = (3/4)⁰ = 1

f(1) = (3/4)¹ = 3/4

f(2) = (3/4)² = 9/16

When these equations are represented on a table of values, we have the following table:

x  -2       -1      0     1      2

y  16/9   4/3   1     3/4   9/16

Next, we represent the values on a graph

From the table, we have

y = 1 when x = 0

This means that it crosses the y-axis at (0, 1)

This is represented by graph (a)

So, the graph of the function is graph (a)

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Answer:

B

Step-by-step explanation:

If you divide 7/8 you will get 0.875 which is equivalent to 21/24 which is 0.875.

(a) The equation connecting t and s in the proportionality question is t = 300/s .

(b) The minimum number of staff that must be working so that the time taken is under 60 minutes is 20 staff.

Inversely proportional means that the two quantities behave opposite in nature.

(a) To find the equation connecting t and s we use the inverse proportionality technique

From the question,

To remove the proportionality sign, we intoduce a constant (k)

Given:

Substite these values into equation 1

Therefore the equation connecting t and s is

(b) To calculate the minimum number of staff that must be working so that time take is under 60 minutes, we substite the value of t = 60 into the equation above

Hence, the equation is t = 300/s and the minimum number of staff is 20 staff.

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Answer:b

Step-by-step explanation:slope is -1/5. Rise over run, so you go down 1, and right 5

Answer:

d = 1350 - 60t

Step-by-step explanation:

the slope is for every x how y changes so the x would be represented by t (which is the time in seconds in this case) and y would be the distance from the bottom of the ski slope.

the vertical intercept would define when you are gaining distance or losing distance

Shapes that are symmetrical (or symmetric) have an identical side on each side. A symmetry may be divided into four primary categories: translation, rotation, reflection, and glide reflection.

Shapes that are symmetrical (or symmetric) have an identical side on each side. When mirrored, rotated, or translated, symmetrical forms retain their original appearance. A symmetry may be divided into four primary categories: translation, rotation, reflection, and glide reflection. The line dividing an animal into two halves is referred to as symmetry. Asymmetry, radial symmetry, and bilateral symmetry are only a few examples of symmetry. Animals are classified according to these symmetries, which are distinct from one another. Rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry are some examples of symmetries. Planar symmetry, which refers to various forms of symmetry on a flat surface, is shown by these four different types of symmetry.

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The Answer is 25.12 I know this because I used a calculator. Hope this helped! :)

Answer: 25.12

Step-by-step explanation:

The Answer is 25.12 I did a test and got it right. I hope this helps!

Answer:

8

Step-by-step explanation:

because is the smallest multiple that 4 and 8 have in common

The numerator of equation (x/(x²+3x+2)+3/(x+1)) in simplified sum is  4x+6.

Here, the given equation is

First, we will simplify this equation

(x/(x²+3x+2)+3/(x+1))

We will take LCM an write the equation as follows.

((x(x+1)+3(x²+3x+2))/((x²+3x+2)(x+1)))     -----------(1)

Now, factorize the equation x²+3x+2

So,

x²+3x+2

=x²+2x+x+2

=x(x+2)+1(x+2)

=(x+1)(x+2)

Put this factors in denominator of equation (1)

So, the equation will be written as

=((x²+x+3x²+9x+6)/(x+1)(x+2)(x+1))

=((4x²+10x+6)/((x+1)² (x+2)))         -----------------(2)

Factor of numerator in above equation

=4x²+10x+6

=4x²+6x+4x+6

=4x(x+1)+6(x+1)

=(4x+6)(x+1)

Put this value in equation (2)

so, we can write equation (2) as

=(((4x+6)(x+1))/((x+1)^2 (x+2)))

Cancelling (x+1) from numerator and denominator

Then the equation will become,

=((4x+6)/((x+1)(x+2)))

This is the simplified form of given equation

Hence,

The numerator of the simplified sum is (4x+6)

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Answer:

x = -4; y = 2

Step-by-step explanation:

The solution is the point of intersection of the two lines.

The lines intersect at point (-4, 2).

Answer: x = -4; y = 2

Answer:

x = -4; y = 2

Step-by-step explanation:

the are the answers to both of the statements

The set of side measurements that could be used to form a right triangle is √3, √13, and 4 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

√3, √13, and 4

(√3)² + (√13)² = 4²

3 + 13 = 16 (True)

Determine which set of side measurements could be used to form a right triangle.

4, 8, 11

6, 8, 13

square root of 3, square root of 5, 8

square root of 3, square root of 13, 4

Thus, the set of side measurements that could be used to form a right triangle is √3, √13, and 4 option (D) is correct.

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