What is 5n= n -8n + 3 written as a verbal sentence

Answer:

\( - \frac{1}{3} \geqslant - \frac{4}{5} x\)

\( \frac{1}{3} \leqslant \frac{4}{5} x\)

\(5 \leqslant 12x\)

\(12x \geqslant 5\)

\(x \geqslant \frac{5}{12} \)

Answer:

70% increase

Step-by-step explanation:

51-30 = 21

21/30 = 0.7

0.7 x 100

Step-by-step explanation:

23=20. $6.50=$7

20x7=$140

Answer:

first step is 20. Second step is 7.00$. He will make 140.00$ an hour.

Step-by-step explanation:

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

X=42

Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals  42

Answer:

42/9=14/3

Step-by-step explanation:

Simplificación de Fracciones

Una fracción de la forma x/y puede ser representada de infinitas maneras, siempre y cuando produzcan el mismo resultado.

Por ejemplo, las fracciones 5/3 y 10/6 son equivalentes porque producen el mismo resultado. Obsérvese que tanto el numerador como el denominador en la segunda están multiplicados por 2.

Igualmente si tenemos 10/6, podemos obtener 5/3 dividiendo a ambos por 2.

La fracción 42/9 puede convertirse a una fracción equivalente dividiendo ambos términos por 3 para obtener 14/3

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Construct such an ordered rooted tree: 1.1, 1.2.1, 1.2.2, 1.2.2.1, 1.3, 1.4, 2, 3.1, 3.2, 4.1.1.1

What is ordered root tree?

Given that:

An ordered rooted tree.

To find :Can the leaves of an ordered rooted tree have the following list of universal addresses, If so construct such an ordered rooted tree.

c) 1.1, 1.2.1, 1.2.2, 1.2.2.1, 1.3, 1.4, 2, 3.1, 3.2, 4.1.1.1

The leaves of an ordered rooted tree have the following addresses as given( claimed )

1.1, 1.2.1, 1.2.2, 1.2.2.1, 1.3, 1.4, 2, 3.1, 3.2, 4.1.1.1

we look into the leaves that contains the leaves 1.2.2 and 1.2.2.1

However, we see that 1.2.2.1 must be a child of 1.2.2 and so 1.2.2.1 can't be a leaf.

Hence , we conclude that the given list of leaves can't contain both 1.2.2 and 1.2.2.1,so the given list of leaves can't belong to an ordered rooted tree with the mentioned list of universal addresses.

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The statements that are true are:

A : Vertical angles are congruent, therefore, another angle must equal 67°

F: Two of the angles formed will have a sum of 180°

What happens when two lines intersect?

When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°

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Given:

Length of a rectangle = (3x-3)

Width of the rectangle = (2x+1)

To find:

The area of the rectangle.

Solution:

We know that, area of a rectangle is

\(Area=Length \times width\)

Putting Length = (3x-3) and width = (2x+1), we get

\(Area=(3x-3)\times (2x+1)\)

\(Area=(3x-3)(2x+1)\)

Using distributive property, we get

\(Area=3x(2x+1)-3(2x+1)\)

\(Area=3x(2x)+3x(1)-3(2x)-3(1)\)

\(Area=6x^2+3x-6x-3\)

\(Area=6x^2-3x-3\)

Therefore, the area of rectangle is \((3x-3)(2x+1)\equiv 6x^2-3x-3\) sq. units.

Answer:

The answer of the question would be: C)

Step-by-step explanation:

When two separate events, A and B, are independent, P(A|B)=P(B). This means that the probability of event B occurring first has no effect on the probability of event A occurring next. Because of the evident independence.

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Answer:

9 • x + 9 • 3 + 15x

Step-by-step explanation:

You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.

Answer:

7y=11x-2y=2

7y-2y=2-12x

5y=9x

y=9x÷5

y=45ans

Step-by-step explanation:

have a nice day!

Answer:

V = 3085 in³

Step-by-step explanation:

The volume is given by:

\( V = A*h \)

Where:

A: is the area

h: is the height = 7 in

The area of the polygon can be found by using the given equation:

\( A = \frac{1}{2}a*p \)

Where:  

a: is the apothem = 11.3 in

p: is the perimeter

The perimeter is:

\( p = 13*6 = 78 in \)      

Hence, the volume is:

\( V = A*h = \frac{1}{2}a*p*h = \frac{1}{2}11.3 in*78 in*7 in = 3085 in^{3} \)  

I hope it helps you!                      

The measure of the angle BCA is 50 degrees.

The angles at the circumference subtended by the same arc are equal.

The angles at the circumference on the same segment theorem states that angles in the same segment of the circle are equal.

Therefore, let's use the theorem to find the angle ∠BCA in the circle.

Hence,

∠BCA = ∠BOA

Finally,

∠BCA =  50 degrees.

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a) Histogram (figure attached)

b) The expected number of defective is equal to 0.4 syringes.

c) Probability that the batch will be accepted is equal to 0.94275.

d) The standard deviation is 0.6164.

It is a binomial distribution "DISCRETE probability distribution that encapsulates the likelihood that a value will take one of two independent values when a particular set of conditions is met. The assumptions for the binomial distribution are that each trial has a single possible outcome, each trial has an equal chance of success, and each trial is independent of the others or mutually exclusive ".

Let X be the number of syringes being defective as a binomial random variable.

We are given that in the batch, there can be assumed to be 5% defective syringes.

∴ n = 8

Probability of syringes being defective, p = 0.05

Probability of syringes being not defective , q = 1-p = 1-0.05 = 0.95

a) Histogram (figure attached)

b) We know that the formula for Expectation in binomial distribution is;

μ =n×p = 8×0.05

=0.4 syringes

Therefore, the inspector will find the expected number of defective is equal to 0.4 syringes.

c) We have to find binomial probability for that we will use the binomial probability distribution is given by:

P(X=x) = ⁿCₓpˣ (1-p)^n-x, x = 0,1,2,3 ..8

Therefore,

P(x<2) = P(X=0) + P(X=1)

= ⁸C₀(0.05)⁰(1-0.05)⁸ + ⁸C₁(0.05)¹(1-0.05)⁷

=  0.66342 + 8×0.05×0.6983

= 0.66342 + 0.27933

= 0.94275

Therefore, probability that the batch will be accepted is equal to 0.94275.

d) We first find the variance:

σ² = Var(X) = n×p×(1-p)

= 8 × 0.05 ×(1-0.05)

= 0.38

Thus, the standard deviation is

σ = \(\sqrt{0.38}\) = 0.6164

Thus,

a) Histogram (figure attached)

b) The expected number of defective is equal to 0.4 syringes.

c) Probability that the batch will be accepted is equal to 0.94275.

d) The standard deviation is 0.6164.

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The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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Answer:

The answer is option D.

Hope this helps you

There is no proportional relationship between x and y.

No, all ratios yx are not equivalent.

We have,

"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."

According to the question,

Given x : 8 , 10, 12, 14

        y : 5, 7, 9, 11

Ratio between different values of x and y are not equivalent

( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)

We conclude there is no proportional relationship between x and y.

Hence, Option(1) is the correct answer.

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complete question:

Is there a proportional relationship between x and y? Explain.

x 8 10 12 14

y 5 7 9 11

1. No; all ratios yx are not equivalent.

2.Yes; each x value and y value increases by 2.

3.Yes; the difference between each x value and y value is 3.

4.No; all ratios xy are greater than 1.

Answer:

x is -1/b yw

Step-by-step explanation:

When n approaches infinity  n -----> -∞ as f(n) -----> -∞ and  

as n -----> ∞ then f(n) -----> ∞ for the function f(n) is (n+2)²(n-3)(n-2) then

As n approaches negative infinity, the dominant term of the function f(n) is (n+2)²(n-3)(n-2).

Since (n+2)² grows to positive infinity as n approaches negative infinity, and both (n-3) and (n-2) approach negative infinity, the overall value of f(n) approaches negative infinity.

Therefore, as n -----> -∞ as f(n) -----> -∞

As n approaches positive infinity, the dominant term of the function f(n) is again (n+2)²(n-3)(n-2).

Since (n+2)² grows to positive infinity as n approaches positive infinity, and both (n-3) and (n-2) approach positive infinity, the overall value of f(n) approaches positive infinity.

Therefore, as n -----> ∞, f(n) -----> ∞

Hence, the function f(n) is (n+2)²(n-3)(n-2) then when n approaches infinity  n -----> -∞ as f(n) -----> -∞ and  as n -----> ∞ then f(n) -----> ∞

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Answer: 4/5

How to: Convert to a mixed number by placing the numbers to the right of the decimal over  10 . Reduce the fraction.

Have a great day and stay safe ! so sorry if wrong

Answer:

8/9

Step-by-step explanation:

i got it righttt

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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Answer:

a) mean = 24, standard deviation = 3.098386

b) the probability of exactly 27 ​successes is 0.08265

c) the probability of fewer than 30 ​successes is 0.96478

d) the probability of more than 20 ​successes is 0.8702

Step-by-step explanation:

Given the data in the question,

p = 0.60

n = 40

a) mean and standard deviation;

mean = np = 40 × 0.6

mean = 24

we know that Variance = np( 1 - p )

so standard deviation S.D = √( np( 1 - p ) )

S.D = √( 40 × 0.6( 1 - 0.6 ) )

S.D = √( 24( 0.4) )

S.D = √9.6

S.D = 3.098386

standard deviation = 3.098386

b) the probability of exactly 27 ​successes

P(  x=27 ) = ⁴⁰C₂₇ × ( 0.6 )²⁷ × ( 0.4 )⁽⁴⁰⁻²⁷⁾

= ⁴⁰C₂₇ × ( 0.6 )²⁷ × ( 0.4 )¹³

= [40! / ( 27!( 40 - 27 )! )] × ( 0.6 )²⁷ × ( 0.4 )¹³

= 0.08265

Hence, the probability of exactly 27 ​successes is 0.08265

c)  the probability of fewer than 30 ​successes.

P( x < 30 ) = 1 - P( x ≥ 30 )

= 1 - 0.3522248

= 0.96478

Hence, the probability of fewer than 30 ​successes is 0.96478

d) the probability of more than 20 ​successes.

p( x > 20 ) = 1 - P( x ≤ 20 )

= 1 - 0.1297657

= 0.8702

Hence, the probability of more than 20 ​successes is 0.8702

Answer:

Look up the website for those answers, I've gotten those type of worksheets before.

Step-by-step explanation:

There should be a pdf or document of the answers and if you can't find it I'll help you!

Answer:

94 square inches.

Step-by-step explanation:

Surface area is the area around a surface. Thus, in order to calculate the surface area of a rectangular prism, we just need to add up the different faces of it.

There are 2 5x4 faces, 2 3x5 faces, and 2 4x3 faces.

Thus, we get 2*20 + 2*15 + 2*12 = 40 + 30 + 24 = 94 square inches.

When the function f(x) is shifted vertically down by 2 units to obtain function g, the table which represents function g(x) is;

According to the question, function, g(x) is obtained when the function, f is shifted vertically down by 2 units.

On this note, the function g and f are related as follows;

g(x) = f(x) -2

Hence, the values of g(x) are 2 units lesser than respective values of f(x) as represented.

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