The ancient Babylonians developed a method for calculating nonperfect squares by 1700 BCE. Complete the statements to demonstrate how to use this method to find the approximate value of. In order to determine , let G1 = 2, a number whose square is close to 5. 5 ÷ G1 = , which is not equal to G1, so further action is necessary. Average 2 and G1 to find G2 = 2. 25. 5 ÷ G2 ≠(rounded to the nearest thousandth), which is not equal to G2, so further action is necessary. Average 2. 25 and G2 to find G3 = 2. 236. 5 ÷ G3 ≠(rounded to the nearest thousandth), which is equal to G3. That means is approximately 2. 236.

The probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 3/20.

Let A be the event that the sum of the two numbers chosen by Tina is less than or equal to 10 and B be the event that Sergio's number is larger than the sum of the two numbers chosen by Tina.

P(A) = probability that Tina selects two numbers whose sum is less than or equal to 10.

If the sum is less than or equal to 10, then the only way this can happen is if Tina selects (1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)

P(A) = 10/10C2= 10/45

P(B) = probability that Sergio's number is larger than the sum of the two numbers chosen by Tina.

In order for Sergio to choose a number larger than the sum of Tina's numbers, Sergio's number must be either 6,7,8,9 or 10.

If Sergio chooses 6, then the Tina must have chosen (1,5), (2,4) or (3,3)

If Sergio chooses 7, then the Tina must have chosen (1,6), (2,5), (3,4) or (4,3)

If Sergio chooses 8, then the Tina must have chosen (1,7), (2,6), (3,5), (4,4)

If Sergio chooses 9, then the Tina must have chosen (1,8), (2,7), (3,6), (4,5) or (5,4)

If Sergio chooses 10, then the Tina must have chosen (1,9), (2,8), (3,7), (4,6) or (5,5)

Therefore, there are 15 possible cases where Tina and Sergio select two distinct numbers from the set {1, 2, 3, 4, 5} and Sergio selects a number from the set {1, 2, ..., 10} such that Sergio's number is larger than the sum of the two numbers chosen by Tina.

P(B) = 15/5C2 * 10C1= 15/100

So, the probability is 3/20.

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The statement "Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations" is False.

Linear programming can be used to find the optimal solution for profit as well as for non-profit organizations. Linear programming is a method of optimization that aids in determining the best outcome in a mathematical model where the model's requirements can be expressed as linear relationships. Linear programming can be used to solve optimization problems that require maximizing or minimizing a linear objective function, subject to a set of linear constraints.

Linear programming can be used in a variety of applications, including finance, engineering, manufacturing, transportation, and resource allocation. Linear programming is concerned with determining the values of decision variables that will maximize or minimize the objective function while meeting all of the constraints. It is used to find the optimal solution that maximizes profits for for-profit organizations or minimizes costs for non-profit organizations.

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Answer:

the correct answer is -1

Step-by-step explanation:

9-10

-1

Answer:

x = 19/4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-6 + 4x = 13

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here, we see that 13 does indeed equal 13.

∴ x = 19/4 is a solution of the equation.

The mistake is at a + 7 = -11 ⇒ a = -18 and not -4.

Betsie made a mistake while solving the equation 3(a+7) = -33

We try to solve this equation step-by-step and will identify her mistake on the way.

3(a+7) = -33

Dividing by 3 on both sides,

⇒ (a+7) = -11

Subtracting 7 from both sides,

⇒ a = -11 -7

⇒ a = -18 is the solution.

Betsie made the mistake at the step where we have to subtract 7 from both sides. Instead of subtracting 7 from the right side, she added 7 on the next step.

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In my opinion the answer it either A or C because they make the most sense if you calculate.

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer:

f^(-1)(x) = e^(x/3)

Step-by-step explanation:

1.  Replace 'f(x)' by 'y:'  y = 3ln x

2. Interchange x and y:  x = 3ln y => x/3 = ln y

3. Solve for y:  

   e^(x/3) = y

4.  Replace this 'y' with 'f^(-1)(x)'

    Then f^(-1)(x) = e^(x/3)

Answer:

-$36

Step-by-step explanation:

Daniel has a starting balance of $259, so anything he spends will be deducted by this amount. To find out how much he spent, we need to add up everything he bought.

He spent $45 + $150 + $100, adding to a grad total of $295.

To find out how much money Daniel has left, we need to subtract his purchases from his funds. This would be $259 - $295. This leaves you with a final answer of -$36 in Daniel's bank account.

Answer:

21.038 ft

Step-by-step explanation:

6.7x3.14=21.038

hope this helps

plz can  i get brainliest:)

Answer:

if your looking for radius it would be 3.35 if your looking for surface area its 3.14(3.35)^2  

Step-by-step explanation:

Answer:

A) 12+2x=48

Step-by-step explanation:

Let's start by breaking down the language used here.  

12 more than twice a number.

In math, more than indicates addition.  

"Twice a number" means 2 times a certain number, which we will symbolize using 'x'.

So now we have:  

12+2x, which in this case, equals 48.

Answer:

3686

Step-by-step explanation:

Answer:

look

Step-by-step explanation:

180° is x+2x

so 180° is 3x

180°/3 is 60°

so x is 60° and 2x is 120°

Answer: 6($m - $20)

Step-by-step explanation:

From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:

$m - $20.

The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:

= 6($m - $20)

Answer:

Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.

Step-by-step explanation:

she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)

Given:

Nuts = $2.50

Cereal mixture = $1

Find -: How much each should be added.

Sol:

Obtain = 60 kg.

Let nuts = x kg

Cereal = y kg

To obtain 60 kg means:

Pricing at $1.90 per kg means:

Put the value of "y" then:

Then the value of "y" is:

So,

In the mixture 36 kg of nuts and 24 kg of cereal.

Answer:

A) 21

Step-by-step explanation:

30% of 70 is 21

Answer:

12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the exterior angles are congruent

number of sides = 360° ÷ 30 = 12

Answer:

12.

Step-by-step explanation:

Answer: The answer is C: \(17\sqrt{13}\)

Step-by-step explanation: Since both Radicands have the same, add the indexes together to get 17

The Null Hypothesis (H0: μ ≤ 90) and Alternative Hypothesis (Ha). of the wait time for a new roller coaster is at least 90 minutes.

The null hypothesis states that a population parameter is equal to a value. The null hypothesis is often an initial claim that researchers specify using previous research or knowledge.

Null Hypothesis (H0): The wait time for a new roller coaster is equal to or less than 90 minutes (H0: μ ≤ 90).

Alternative Hypothesis (Ha): The wait time for a new roller coaster is greater than 90 minutes (Ha: μ > 90).

In words, the null hypothesis states that the average wait time for the new roller coaster is equal to or less than 90 minutes.

The alternative hypothesis states that the average wait time is greater than 90 minutes.

We use the symbol μ to represent the population means of wait times for the new roller coaster.

Therefore, the Null Hypothesis (H0: μ ≤ 90) and Alternative Hypothesis (Ha). of the wait time for a new roller coaster is at least 90 minutes.

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By using the concept of probability, it can be calculated that

a)  P(X \(\leq\) 1) = 0.25

b) P(0.5 \(\leq\) X \(\leq\) 1)  = 0.1875

c) P(X > 1.5) = 0.4375

d) Median = 1.414

e) F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2

           0, otherwise

f) E(X) = 1.33

g) V(X) = 0.2311, SD(X) = 0.4807

h)  E(h(X)) = 2

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

The cdf is

f(x) = \(\left \{ {\frac{x^2}{4}},{ 0 \leq x \leq 2} \atop {1, x=2}} \right.\)

Now,

a) P(X \(\leq\) 1) = \(\frac{1^2}{4} = 0.25\)

b) P(0.5 \(\leq\) X \(\leq\) 1)

= \(\frac{1^2}{4} - \frac{0.5^2}{4}\\\\\frac{3}{16}\\\\0.1875\)

c) P(X > 1.5) = 1 - P(X \(\leq\) 1.5)

                      \(1 - \frac{1.5^2}{4}\)

                       0.4375

d) Let \(\mu\) be the median

P(x \(\leq \mu\)) = 0.5

\(\frac{\mu^2}{4} = 0.5\)

\(\mu^2 = 0.5 \times 4 =2\\\mu = \sqrt{2}\\\mu = 1.414\)

e) F'(x) =

\(\frac{2x}{4}, 0 \leq x \leq 2\\0, otherwise\)

F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2

           0, otherwise

f) E(x) =

\(\int_0^2 x \times 0.5 xdx\\=0.5 \times \frac{x^3}{3} |_0^2 \\=0.5 \times \frac{2^3}{3}\\=\frac{4}{3}\\=1.33\)

g) V(X) = E(\(X^2\)) -\((E(X))^2\)

    E(X^2) =

                   \(\int_0^2x^2(0.5x)dx \\0.5 \times \frac{x^4}{4}|_0^2\\2\)

\(V(X) = 2 - (1.33)^2\)

V(X) = 0.2311

SD(X) = \(\sqrt{0.2311} = 0.4807\)

h) h(X) = \(X^2\)

   E(h(X)) = \(\int_0^2X^2({0.5X)dx\)

               = \(0.5 \frac{x^4}{4}|_0^2\)

               = \(0.5 \times \frac{2^4}{4}\)

               = 2

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To find the critical points of the function f(x, y) = x^2y^2 - 2x - 8y^2, we need to determine the points where the partial derivatives with respect to x and y are equal to zero. The critical points will be in the form (a, b), where a and b are the x and y coordinates of the points.

    To find the critical points of f(x, y), we first compute the partial derivatives with respect to x and y. The partial derivative with respect to x, denoted as ∂f/∂x, is obtained by differentiating f(x, y) with respect to x while treating y as a constant. Similarly, the partial derivative with respect to y, denoted as ∂f/∂y, is obtained by differentiating f(x, y) with respect to y while treating x as a constant.

Setting ∂f/∂x = 0 and ∂f/∂y = 0, we can solve the resulting equations simultaneously to find the critical points. The solutions will be points (a, b), where a and b represent the x and y coordinates of the critical points.

By solving the system of equations, we can find the values of x and y that satisfy the conditions ∂f/∂x = 0 and ∂f/∂y = 0. These values will correspond to the critical points of the function f(x, y). The critical points can be listed as (a, b), where each (a, b) pair represents a unique critical point.

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Answer: i think it’s A

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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Answer:

2

Step-by-step explanation:

it says 3 times the sum of x and 7 equals 27 so 1st divide 27 by 3 which gives you 9 and then subtract 7 which is given and that gives you 2 for your answer

Answer:

Your answer is 27

Step-by-step explanation:

4 x 3 = 12

5 x 3 = 15

12 + 15 = 27

Answer: $72.80

Step-by-step explanation:

If 1 kilo is 36.40 then multiply by 2

= 72.80

Volume is the quantum of space an object occupies. Saddie uses 8 pints of lemon- lime juice rather of orange juice.

This is simply because there are 4 cups of juice in 1 liter. volume is a measure of space possessed by matter.

It is frequently quantified using SI deduced units or colorful US Customary or Imperial units. The description of length refers to volume.

A liter is a measure of commodity liquid, like milk or makeup. A gallon is four liters.

Question:

Sadie is making punch. how numerous further quarts of bomb lime juice will she use than orange juice?

constituents for punch-

8qts Lemon Lime Juice. 4 scoops of vanilla ice cream and 8 mugs of orange juice

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Base = ( Volume / Height )

. = 150/ 20 = 7.5 cm

. = 7.5

Then answer is

OPTION D) 7.5 cm

Answer:

39,160

Step-by-step explanation:

20x22=440 x89=39,160