Find the z-scores for which 98% of the distribution's area lies between-z and z. B) (-1.96, 1.96) A) (-2.33, 2.33) ID: ES6L 5.3.1-6 C) (-1.645, 1.645) D) (-0.99, 0.9)

Answer:

1200 is ur wsener

Step-by-step explanation:

Answer:

1,200 is the result to the problem

Answer:

6bc

Step-by-step explanation:

3cb + 6c + c(3b − 6)

Use the distributive property to multiply c by 3b−6.

3cb + 6c + 3cb − 6c

Combine 3cb and 3cb to get 6cb.

6cb + 6c − 6c

Combine 6c and −6c to get 0.

6bc

Answer:

6cb

Step-by-step explanation:

Pull out like factors :

  3b - 6  =   3 • (b - 2)

at the end of step 2: (3cb + 6c) +  3c • (b - 2)

answer 6cb

Answer:

well we know that top and botton are 12 and the sides are 5. there are 4 sides soo thats 4 times 5. so basically its 12x12x5x5x5x5 whick is 90000.

Step-by-step explanation:

sorry for the wait!

hope this helps!

please mark brainliest!

have a good day!

:) ;)

(if this is wrong im so sorry, i tried .;(

The surface area of the right prism with dimensions 3m, 8m, 9.1m is 126.60 m².

A prism is a three-dimensional shape that has two parallel congruent bases that are both polygons, and lateral faces that connect these bases. The shape of the lateral faces can vary, but they are typically parallelograms. Examples of prisms include rectangular prisms (such as a box), triangular prisms, and hexagonal prisms.

To find the surface area of a right prism, we need to find the area of each face and add them up.

In this case, we have a rectangular base with dimensions of 3 m and 8 m, so the area of the base is:

Area of base = length x width = 3 m x 8 m = 24 m²

The height of the prism is 9.1 m, so the area of the two rectangular faces is:

2 x (length x height) = 2 x (3 m x 9.1 m) = 54.6 m²

The area of the top and bottom faces, which are also rectangles, are the same as the base, so we add that twice:

2 x 24 m² = 48 m²

Now we can add up all the areas to find the surface area:

Surface area = area of base + area of two rectangular faces + area of top and bottom faces

Surface area = 24 m² + 54.6 m² + 48 m²

Surface area = 126.6 m²

Rounding to the nearest hundredth, the surface area is about 126.60 square meters.

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An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

k = - 4

Step-by-step explanation:

Given

y = 16 - x²

The point (k, 0 ) is a zero. To find the zero let y = 0, that is

16 - x² = 0 ( add x² to both sides )

16 = x² ( take the square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

The zeros are x = - 4 and x = 4

Since (k, 0 ) is to the left of the origin, then k = - 4

The equation of the line parallel to the given line and passing through the point (-4, 12) is y = -2x + 4.

To find the equation of a line that is parallel to the given line and passes through the point (-4, 12), we need to determine the slope of the given line.

The given line is in the form: 1 - (8y + 4x)/3 = 4

To put it in slope-intercept form (y = mx + b), we can isolate y:

1 - (8y + 4x)/3 = 4

Subtract 1 from both sides:

(8y + 4x)/3 = 4 - 1

Simplify:

(8y + 4x)/3 = 3

Multiply both sides by -3 to eliminate the fraction:

8y + 4x = -9

Now we can determine the slope of the given line. The coefficient of x gives us the slope:

4x = -8y - 9

Divide by 4:

x = -2y - (9/4)

The slope of the given line is -2.

Since we want a line parallel to this, the slope of the parallel line will also be -2.

Using the point-slope form of a line, we can write the equation of the parallel line:

y - y1 = m(x - x1)

Substituting the values of the point (-4, 12) and the slope -2:

y - 12 = -2(x - (-4))

Simplifying:

y - 12 = -2(x + 4)

Expanding:

y - 12 = -2x - 8

Rearranging in slope-intercept form:

y = -2x - 8 + 12

Simplifying:

y = -2x + 4

Therefore, the equation of the line parallel to the given line and passing through the point (-4, 12) is y = -2x + 4.

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I'm not 100% sure but I think it's the last two choices

sorry if its wrong

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

Answer:

B:-7

Step-by-step explanation:

68-40/4

28/4=7

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Given:

A right rectangular prism's edge lengths are 6 inches, 3 inches, and 3 1/2 inches.

We will find the number of cubes with edge length = 1/3 inches that can fit inside the prism

We will find the volume of the prism and the volume of the cube, then divide the volume of the prism by the volume of the cube:

So, the number of the cubes will be as follows:

So, the answer will be option D) 1701 unit cubes

Answer:

1936

Step-by-step explanation:

We can start by removing the center tile, because all four diagonals over lap on that tile. We'll add it back later. 88/4=22. which means there are 22 tiles per half, 44+1(the center tile) total tiles per side, which means there are a total of 1936 tiles.

AOPS ANSWER:

Suppose that we have a square with dimensions \($e \times e$\). The diagonals each have \($e$\\\) tiles. If \($e$\\\) is even, the number of yellow tiles is \($2e$\), because the \(2\) diagonals don't intersect. If \($e$\) is odd, then the number of yellow tiles is \($e+e-1=2e-1$\). (We have to subtract \(1\) because the center tile is counted \(2\) times). We know that there are \(89\) yellow tiles, which is an odd number, so \($89=2e-1$\). This implies that \($e = 45$\). So the dimensions of the floor are \($45 \times 45$\), or \(2025\\\) square units. Since all of the other tiles are gray, there are \($2025-89=\boxed{1936}$\) gray tiles.

Answer:

Subtraction

Step-by-step explanation:

9-2=7. The rabbit weighs 7lbs

The statements that are true about the ordered pair (-4, 0) and the system of equations are:

The ordered pair (-4, 0) is a solution to the first equation because it makes the first equation true.

The ordered pair (-4, 0) is not a solution to the system because it makes at least one of the equations false.

To verify statement 1, we substitute the values x = -4 and y = 0 into the first equation:

2x + y = -8

2(-4) + 0 = -8

-8 = -8

Since the equation is true when substituting the values, (-4, 0) is indeed a solution to the first equation.

To verify statement 3, we substitute the values x = -4 and y = 0 into the second equation:

x - y = -4

(-4) - 0 = -4

-4 = -4

Since the equation is true when substituting the values, (-4, 0) is also a solution to the second equation.

Therefore, statement 4 is also true:

4) The ordered pair (-4, 0) is a solution to the system because it makes both equations true.

In conclusion, statements 1, 3, and 4 are all true about the ordered pair (-4, 0) and the system of equations.

The vertex of the parabola is of the form,

The vertex given is,

The general equation of parabola is

Here, p is the distance between vertex and focus.

Susbtitute the values,

The correct option is C.

The rule that describes the function is (c) Output = (0.5)(Input) + 1.5

The points on the coordinate plane are given as

(negative 1, 1), (1, 2), (3, 3), (5, 4)

Express as numbers

So, we have

(-1, 1), (1, 2), (3, 3), (5, 4)

Divide the input values by 2

So, we have

0.5(Input) => (-1/2, 1), (1/2, 2), (3/2, 3), (5/2, 4)

Add 1.5 to the input values

So, we have

0.5(Input) + 1.5 => (1, 1), (2, 2), (3, 3), (4, 4)

So, we have

Output = 0.5(Input) + 1.5

Hence, the equation is (c)Output = 0.5(Input) + 1.5

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Answer:

The first step is to find a number that when subtracted from 2 gives you 2.

Step-by-step explanation:

The algebraic part of this problem would be to add the -2 (adding 2 to both sides) to both sides, so

first x-2=2, then x-2(+2)=2(+2)  which would give us,

x=4

*note: the parenthesis are just to show that we are adding the 2, to make it more understandable.

A) the derivative of P(x) using limit definition is P'(x) = -20ax + 100b.

B) the rate of change of profit with respect to the level of production x when (b + 1) thousand units are produced is P'((b + 1) × 1000) = -20000ab + 100b dollars per thousand units.

(A) To find the derivative of P(x) using limit definition, we first use the definition of the derivative:

P'(x) = lim(h->0) [P(x+h) - P(x)]/h

Substituting P(x) into the above expression, we get:

P'(x) = lim(h->0) [-10a(x+h)² + 100b(x+h) - 1200 - (-10ax² + 100bx - 1200)]/h

Simplifying, we get:

P'(x) = lim(h->0) [-10a(x² + 2xh + h²) + 100b(x + h) - 1200 + 10ax² - 100bx + 1200]/h

P'(x) = lim(h->0) [-10ax² - 20axh - 10ah² + 100bx + 100bh - 100bx - 1200 + 10ax²]/h

P'(x) = lim(h->0) [-20axh - 10ah² + 100bh]/h

P'(x) = -20ax + 100b

Therefore, the derivative of P(x) using limit definition is P'(x) = -20ax + 100b.

(B) To find the rate of change of profit with respect to the level of production x when (b + 1) thousand units are produced, we need to find P'((b + 1) × 1000).

P'((b + 1) × 1000) = -20a(b + 1) * 1000 + 100b

P'((b + 1) × 1000) = -20ab × 1000 - 20a ×1000 + 100b

P'((b + 1) ×1000) = -20000ab + 100b

Therefore, the rate of change of profit with respect to the level of production x when (b + 1) thousand units are produced is P'((b + 1) × 1000) = -20000ab + 100b dollars per thousand units.

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Answer:

− 0.48076923

Step-by-step explanation:

-4 is a integer because an integer is a negative number and a natural number, whole number, rational and a irrational number is not a negative number.

Answer:

approximately 200.96 square inches.

Step-by-step explanation:

The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Since the diameter of the pizza is 16 inches, the radius is half of the diameter, or 8 inches. Thus, the area of the top of the pizza is:

A = π(8)^2

A = 64π

Therefore, the area of the top of the pizza is 64π square inches. If you want a numerical approximation, you can use 3.14 as an approximation for π and calculate:

A ≈ 64(3.14)

A ≈ 200.96

So the area of the top of the pizza is approximately 200.96 square inches.

Answer:

about 201 sq.inches

Step-by-step explanation:

have a good day :)

Answer:

The correct answer is 1,026 c^4 de^3.

Step-by-step explanation:

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer: \(10^{2}\)

Step-by-step explanation: Hope this helps! :D

Answer:

sin(0)=15/17

Step-by-step explanation:

17 is the hypotnuse and when working with sin,you need the opppsite and the hypotnuse. Meaning 17 would be the denominator because it is the hypotnuse and then 15 would be opposite i believe.hope this helps!