One-third of a number is at least four less than the number. Which inequality represents the number?

174 more patients need to have their samples taken than were originally anticipated. This is further explained below.

Generally, the equation for the margin of error is mathematically given as

[tex]{Margin\ of \ error } & \ amp;=Z_{o \text { it }} \text { at } 5 \% \text { lo.s } \times S E(p)[/tex]

Where

Given that the margin of error should be 7%, or 0.07, the total number of extra patients is denoted by n.

sample proportion  = 11/20 = 0.55

q =0.45

Margin of error = Zo at 5% lo.s * S E(p)

To solve for the 0.07amp

[tex]\\\\0.07 =1.96 \times \sqrt{\frac{p q}{n}}[/tex]

[tex]\\\\&0.07=1.96 \sqrt{\frac{0.55 \times 0.45}{20+n}} \\\\0.07 =\frac{0.97508}{\sqrt{20+n}} \\\\\sqrt{20+n} =\frac{0.97508}{0.07} \\\\\end{aligned}[/tex]

20+n =194.04

n =174.04

n=174

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When two angles add to 90º they are called complementary angles.

Then, if in the given statement the sum of angles 1 and 2 is equal to 90º, angles 1 angle 2 are complementary.

Answer:

x=13

Step-by-step explanation:

We add all the numbers together, and all the variables

6x-78

We move all terms containing x to the left, and all other terms to the right

6x=78

x=78/6

which should equal 13

Critical points are the points where the slope of the function is zero thus at θ = 0,π/22,π11,3π/22 ... will be the critical points of function g(θ) = sin²(11θ).

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

As per the given function,g(θ) = sin²(11θ).

The critical points are the points where the slope of the tangent of the function is zero.

The slope of the tangent of a function is the first derivative thus,

g'(θ) = 0 ⇒ 2× 11 sin(11θ)cos(11θ) = 0

Sin(11θ) = 0 ⇒ θ = 0

Cos(11θ) = 0 ⇒ 11θ = π/2

θ = π/22

Since, sinusoidal functions are repeating thus,

Next critical point = π/22 + π/22 = π/11 and so on.

Hence "Critical points are the points where the slope of the function is zero thus at θ = 0,π/22,π11,3π/22 ... will be the critical points of function g(θ) = sin²(11θ)".

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Answer: 24

Step-by-step explanation:

The angles of a triangle add to 180 degrees, so:

[tex]62+82+x+12=180\\\\156+x=180\\\\x=24[/tex]

The number of solutions that -14 + 6b + 7 - 2b = 1 + 5b has is 1 solution.

It should be noted a equation is important to illustrate the relationship between the variables. In this case, the equation given is illustrated as:

-14 + 6b + 7 - 2b = 1 + 5b

Collect like terms

-8 + 6b - 2b = 5b

b = -8

Therefore, it has only one solution.

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Jin

The bicycle selling price was : $175

The helmet was for : $17

Jin total cost was 160% of what Stefan spent originally to buy the two items

This means ; 160/100 * x = { 175+17} -----where x is the original amount stefan spent to buy the two items

1.6 x = 192

x = 192 /1.6

x=120

Stefan originally spent $120

The money he made after the sell is: $192-$120 =$72

Answer

a) $120

b) $72

Answer:

one

Step-by-step explanation:

The least number of fish COULD be 450  ....this would be 500 to 1 S.F.

    if you take ONE fish away there are then 449 which would be 400 to 1 S.F

The point (4,2) is not in the solution set as it do not satisfy the first inequality 4x+y<2.

To be in the solution set of the system of inequalities the point (4.2) must satisfy both the given linear inequalities.

So, 4x + y < 2

when x = 4, y = 2

4(4) + 2 = 18 which is not less than 2

So, point do not satisfies this linear inequality

Now, for y>-2,

y = 2 which satisfies the inequality

Therefore, we say that the point (4,2) is not in the solution set of the system of inequalities.

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Equation using slope intercept form is 3y = x + 18

An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx + b, where m denotes slope and c denotes the y-intercept. Y = mx + b is the general formula for the slope-intercept form, where m stands for the line's slope and b for the y-value of the line's y-intercept. We may more easily determine a line's slope and its y-axis intersection using the slope-intercept form of a linear equation.

Given Data

Points(0,6) and (-2,0)

The slope formula = [tex]\frac{y_{2}-y_{1 } }{x_{2}-x_{1} }[/tex]

y₂= 0

y₁=6

x₂=-2

x₁=0

Slope = (-2-0)/(0-6)

Slope = -2/ -6

Slope = 1/3

Slope intercept form

y = mx + b

y = (1/3)x + 6

y = (x+18)/3

3y = x + 18

Equation using slope intercept form is 3y = x + 18

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The cost of DVD = $16.99

The list price of this DVD was $18.75

So, the discount =

And the percent discount =

Rounding the answer to the nearest tenth

So, the answer will be : the percent discount = 9.4%

Given that Diego's current age is five times Martina's age ten years ago.

Martin is currently m years old.

Ten years ago, Martin's age was (m-10) yers.

Since, Diego's current age is five times Martina's age ten years ago., therefore, Diego's current age is

5(m-10).

So, Diego's current age is 5(m-10).

The formula in getting the area of the circle is:

where r = the radius of the circle and the value of π = 3.14

In the diagram, the radius of the circle is 4 mm. Let's replace the "r" in the formula with 4 mm and "π" with 3.14

Then, simplify.

Therefore, the area of the circle is 50.24 mm². (Option D)

We have π = 3.14 and the radius is 4 mm. Therefore we apply the following formula:

Replacing values in the equation.

We calculate potentiation.

We multiply

A = 50.24 mm²

Answer: The circle area is 50.24 mm^2 (option D)✅ .

The zeros of the function are x = 3 and x = -3

The equation of the function is given as

f(x) = x(squared) - 9

Rewrite the equation properly

So, we have the following equation

f(x) = x^2 - 9

Express the equation as a difference of two squares

So, we have the following equation

f(x) = (x - 3)(x + 3)

Set the equation to 0

(x - 3)(x + 3) = 0

Split

x - 3 = 0 and x + 3 = 0

Solve for x

x = 3 and x = -3

Hence, the solutions are -3 and 3

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The value of height (h) will be 1.35 inches.

What is Surface area?

The space occupied by a plat surface is called Surface area.

Given that;

Surface area (S) = 2πr² + 2πrh

Where, r is the base radius and h is the height.

Now, When Surface area = 175 square inches

Radius (r) = 6 inches.

Then, We can calculate height as;

Since,

Surface area (S) = 2πr² + 2πrh

175 = 2 × 3.14 × (6)² + 2 × 3.14 × 6 h

175 = 226.08 + 37.68h

175 - 226.08 = 37.68 h

- 51.08 = 37.68 h

h = - 51.08 / 37.68

h = - 1.35

Thus, The value of height (h) will be 1.35 inches.

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25% of 192 = 192 * 25/100 = 192 * 0.25 = 48

Answer:

Mary received $48

Answer: 12 oz

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1.

Ex:

[tex]x^{0} =1\\3643737737^{0} =1\\[/tex]

I₃ indifference curve represents the highest utility

An indifference curve is a graph that illustrates numerous pairings of two goods or commodities that leave the customer equally well off or satisfied—hence indifferent—when it comes to owning any pairing of the two items that is represented along the curve.

A consumer must give up more of one good in order to buy more of another, hence an indifference curve will always have a negative slope.

The given indifference map is a fast food meals per week vs movie tickets per week graph .

In which I₃ yields more than I₂ .

And I₂ yields more than I₁.

Thus,  I₃ curve represents the highest utility.

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Answer:

d= 4 miles

Step-by-step explanation:

C=2πr

d=2r

d=C

π=12.56

π≈3.99797mi

The correct answer is:

Mei statement that the inequality is -9 < -3 is True.

Mei is correct because -9 is to the left of -3 on the number line. ( first option in the picture).

The equation used to find the 3 consecutive even integers with a sum of 72 is x + 2 = 24.

For the given data in question.

Let the first even integer be 'x'.

Second even integer will be 'x + 2'.

Thirst even integer will be 'x + 4'.

The sum is 72

x + x + 2 + x + 4 = 72

Simplifying;

3x + 6 = 72

Divide whole equation by 3.

x + 2 = 24

Thus, the equation used to find the 3 consecutive even integers with a sum of 72 is x + 2 = 24.

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To determine if a function is even or odd, we start from its definition.

While for an EVEN FUNCTION we have: F(x) = F(-X), for an ODD FUNCTION we have F(-X) = -F(X)

Now, from this, we can check that all the values the function achiever for any X value, the -X has same height. The function presents a symmetry over the Y-axis, and this implies in a function to be an EVEN FUNCTION.

And from the solution developed above, the only statement that is true is the

C) The function is an even function.

the sum of the internal angles of a quadrilateral is 360, therefore:

so

mm

mm

Answer:

A im sure

Example

hope itz helpppp

Percentage, a relative value indicating hundredth parts of any quantity.

98.6% of 343.7 is  in nearest thousandth 338.888

Percentage, a relative value indicating hundredth parts of any quantity.

We need to find 98.6% of 343.7.

Ninty eight point six percentage of three hundred forty three point seven.

Ninty eight point six percentage we need to convert into decimal number this can be achieved by dividing with 100.

98.6% =98.6/100

When ninty eight point six is divided by hundred we get zero point nine eight six.

=0.986

We need to find what is  98.6% of 343.7.

To find ninty eight point six percentage of three hundred forty three point seven. we are required to multiply the converted value of 98.6% with  three hundred forty three point seven.

Simply we need to multiply 0.986 with 343.7.

=0.986×343.7

=338.888

Hence 98.6% of 343.7 is 338.888

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Inequalities

Solve:

For a better understanding, we first multiply the inequality by -1. Recall by doing so, the sign must be flipped:

Factor the binomial:

We have a product of two variable expressions and it must be positive or zero. That can only be possible if:

* Both factors are positive or zero

* Both factors are negative or zero

The answer can come from any of the conditions stated above, so the solution is the OR combination of the individual solutions.

The first condition states:

x - 4 ≥ 0 AND x + 4 ≥ 0

This leads to the solution:

x ≥ 4 AND x ≥ -4

If x must be greater or equal to 4 and greater or equal to -4, then the AND combination gives the solution: x ≥ 4

The second condition states:

x - 4 ≤ 0 AND x + 4 ≤ 0

This leads to:

x ≤ 4 AND x ≤ -4

The AND combination gives the second solution x ≤ -4

The final solution is the first solution OR the second solution, that is:

x ≤ -4 or x ≥ 4

Representing the solution in the number line, we get the graph below:

Expressed in interval form: (-∞ , -4] U [4, +∞)

57 items are correct.

What is an item?

Items are a fundamental component of an OracleAS Portal page. Item types are used to categorize items. Item types determine the contents of an item as well as the information kept about it. Users with the necessary permissions can add an item or create an item type. The properties of an object type define the information stored about it. The item types that you can add to a page differ depending on whatever item types the page group administrator has included in the page group. If the built-in item types are insufficiently flexible, users with proper access can develop new custom item kinds to fulfill their needs.

1/5 of 60 items = 60/5 = 12 items

3/4 of 12 items = 12x3/4 = 9 items

Total no. of correct items = 60 - 12 + 9 = 57 items

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