Find the percent of the area under the density curve where x is more than 3.

Answers:

Domain:  \((-\infty, 5)\)

Range:  \([-3, \infty)\)

Both are in interval notation. There's a square bracket next to the -3, and everything else is a curved parenthesis.

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Explanation:

The domain is the set of allowed x input values of a function. We have a hole at x = 5, so this value is not allowed in the domain. But we can use anything smaller than this. The domain as an inequality is \(x < 5\) which is the same as writing \(-\infty < x < 5\) and that directly translates to the interval notation of \((-\infty, 5)\)

The curved parenthesis say "exclude this endpoint". The domain is anything between negative infinity to 5, excluding both endpoints.

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The range is the set of possible y outputs of a function.

The lowest the function goes is at y = -3. The arrow indicates it goes up forever, meaning that the range as an inequality is \(y \ge -3\) which is the same as \(-3 \le y\) and the same as \(-3 \le y < \infty\)

Then that directly turns into the interval notation of \([-3, \infty)\)

We have a square bracket at -3 to include this endpoint. We can't ever reach infinity, so we of course can't include this endpoint. Always use parenthesis for either infinity.

The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

The variance = 2916,

The mean life of a battery, m = 518 min,

The total number of samples, n = 81

Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,

z = x - m / (σ / √ n)

Here, x is the expected value, σ is the deviation, and z is the probability.

Substitute the values,

z = 526.4 - 518 / (54 / √81)         [σ = √ variance = √2916  = 54]

z = 1.4

Consult the cumulative standard normal table

P (z < 526.4) = 0.9192,

But we know that

P (z > 526.4) = 1 - P (z < 526.4)

P (z > 526.4) = 1 - 0.9192 = 0.0808

Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

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A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

\(y - 5 = - 3(x - 3)\)

Step-by-step explanation:

our original equation

\(y = \frac{1}{3} x - 7\)

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

\(y - y1 = m(x - x1)\)

let's substitute our given point (3, 5) and our perpendicular slope, -3

\(y - 5 = - 3(x - 3)\)

Answer:

(A) 37.5 miles

Step-by-step explanation:

The trains x and y are travelling on tracks starting simultaneously from a from opposite ends of 100 miles roads.

Translate these information into a simple represention to visualize the problem. (Picture below)

■■■■■■■■■■■■■■■■■■■■■■■■■■

First let's calculate the velocity of both trains.

The velocity formula is:

● V = d/t

d is the distance travelled and t is the tile needed to do it.

● V(x) = 100/5 = 20 miles per hour

● V(y) = 100/3 = 33.33.. wich is approximatively 33 after rounding to the nearest unit.

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After calculateingboth velocities, Let's find when the trains meet.

First understand what does it mean matematically when both trains meet.

Go back to the representation and notice what happens when the trains meet.

Let t be that moment.

When x and y reches the meeting point at t, the sum of the distances they have travelled is equal to the total distance wich is 100 miles .

We khow that V = d/t so d = V×t

Let's find the expression of the distances both trains travelled when they have met each other.

● d = V(x) × t

● d' = V(y) × t

■■■■■■■■■■■■■■■■■■■■■■■■■■

So the equation will be:

● V(x) × t + V(y) × t = 100

Factor using t

● t (V(x) + V(y) ) = 100

Replace V(x) and V(y) by their values

● t (20+33) = 100

● 53 t = 100

Divide both sides by 53

● 53t /53 = 100/53

● t = 1.88

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Replace t in the expression of the distance that train x has travelled when meeting y.

● d = V(x) × t

● d = 20 × 1.88

● d = 37.6 wich is approximatively 37.5 miles

Options c and d are correct.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

According to the given question

We have an inequality

3x - 5 > 4x - 3

⇒ 3x - 4x > -3 + 5

⇒ -x > 2

⇒ x < -2

Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.

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Answer:

the answer is negative nine

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

1/15

Step-by-step explanation:

decimal 0.06

if correct plz mark as brainliest

thank you

19NBoli

Answer:

that would half to equal 0.066

Step-by-step explanation:

Answer:

The line AB is a tangent of the circle with center C.

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation: i am in math 8

lol

Answer:

y = x - 2

Step-by-step explanation:

5x - 2 = 8 + 5y ( subtract 8 from both sides )

5x - 10 = 5y ( isolate y by dividing both sides by 5 )

\(\frac{5}{5}\) x - \(\frac{10}{5}\) = y , that is

y = x - 2

At least means less than or equal to.

Fewest means the smallest number of boxes.

12 3/4 +x ≥ 29 5/8

x ≥ 16 7/8

The fewest number of boxes would be almost ≅ 42 boxes

Part A:

Let x denote the amount of fudge at the shop.

Helena prepares 12 3/4 pounds of fudge containing nuts.

Mathematically, the total amount of fudge on Monday will be

12 3/4 +x

Of this amount of fudge  there are at least 29 5/8 pounds of fudge containing nuts at the fudge shop on Monday

12 3/4 +x ≥ 29 5/8

Part B:

The inequality can be solved

12 3/4 +x ≥ 29 5/8

x ≥ 29 5/8- 12 3/4

x ≥  29- 12     5/8- 3/4    

The whole numbers are subtracted and the fractions are solved separately to avoid long calculations.

x ≥  17  (5-6)/8

x ≥  17 - 1/8

x ≥  (136-1)/8

x ≥  (135)/8

x ≥  16 7/8

Part C :

To find the number of boxes we divide the equal number of pounds .

12 3/4 + 29 5/8

12 + 29   3/4 + 5/8

41  11/8

42 3/8

The fewest number of boxes would be almost ≅ 42 boxes

At least problem can be understood by the following link.

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Answer:

\(f(6) = 15\)

Step-by-step explanation:

Given

\(f(x) = \left \{ {{|x - 8| + 6 \ x<4} \atop {15\ x\ge 4}} \right.\)

Required

Find f(6)

From the piecewise function, we have following as values of f(x):

\(f(x) = |x - 8| + 6\)

If \(x < 4\)

\(f(x) = 15\)

If \(x \ge 4\\\)

f(6) implies that x =6 and \(6 \ge 4\)

So, we make use of the second function, which is:

\(f(x) = 15\)

Substitute 6 for x in \(f(x) = 15\)

\(f(6) = 15\)

Hence, the value of f(6) is 15

option A is correct......

Answer:

Please see attached picture

hope it helped you:)

Answer:

0.02 (1444.50)

Step-by-step explanation:

Answer:0.02(1444.50)

Step-by-step:

to figure out the shipping cost we would just multiply the shipping percent by the total cost of the computer. however we cant leave the '2 percent' as it is we would have to multiply it by 100. giving us .02 which we can then use to multiply

The total mass of the six samples, reported with the correct precision is 33.877 g.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, Mr Allen has six different samples of magnesium sulfate, each labeled with its mass. the total mass will be:

= 5.85g + 10.33g + 4.06g + 7.125g + 6.5g + 0.012g

= 33.87g

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

maybe use a calculator

Step-by-step explanation:

you can put in 57 and then divide it by 2%

Answer:

one way is to multply 57$ by 2% then you well find the tax

Step-by-step explanation:

it's actally a good stragey

x = -2, y = -1

Substitution method:

2x + 3y = -7

y = 8x + 15

2x + 3(8x + 15) = -7

2x + 24x + 45 = -7

26x = -52

x = -2

Substituting x value back into 1st equation for y:

2(-2) + 3y = -7

3y = -3

y = -1

Answer:

A=Minimum value

             B=Lower quartile

             C=Median

             D=Upper quartile

             E=Maximum value

Step-by-step explanation:

Answer:

answer above.

Step-by-step explanation:

your welcome

Step-by-step explanation:

Angle BCA + Angle BCD = 180 (Sum of angles on a straight line)

Angle BCA + 113 = 180

Angle BCA = 180 - 113

= 67

Angle BCA + Angle A + Angle B = 180 (Sum of angles in a triangle)

67 + 72 + Angle B = 180

139 + Angle B = 180

Angle B = 180 - 139

= 41

The measure of ∠B is m∠B = 41°.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The sum of the exterior angle and adjacent angle with is 180°.

So, ∠BCD = 180 - 113 = 67°.

The sum of all the angles of the triangle is 180°.

So,

72° + 67° + ∠B = 180°.

∠B = 180° - 139°.

∠B = 41°.

Therefore, ∠B = 41°.

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest