Determine a range for the missing side of the triangle below

Calculating the probability of a mean time watching television falling between 2 and 3 hours requires knowledge of the population's distribution of time spent watching television.

The probability that a random sample of adults will result in a mean time watching television on a weekday of between 2 and 3 hours can be determined by using the standard normal distribution. This requires knowledge of the population's mean and standard deviation for time spent watching television. If these values are not known, they can be estimated using a sample from the population. The calculated probability assumes that the population's distribution of time spent watching television is normal. If this assumption is not met, alternative methods may be used to estimate the probability.

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To mathematically formulate the equations for this system, we express each term using the given formula and calculate the sum to obtain the final value.

To mathematically formulate the respective equations for this specific system, we can start by defining the variables and parameters involved. Let's denote the terms in the series as \(\(y_1, y_2, y_3, \ldots, y_n\)\), where \(\(n\)\) represents the number of terms. We can then express each term \(\(y_i\)\) using the formula given in the series, which involves factorial and division operations. The sign of each term alternates between positive and negative based on the term index \(\(i\)\). Using this information, we can derive a recursive or iterative relationship to calculate each term based on the previous term. By summing up all the terms, we obtain the final value of y for a given number of terms.

The mathematical formulation involves expressing each term of the series using the given formula and using the index of the term to determine the sign. The sum of these terms gives the final value of \(\(y\)\). The formulation can be implemented using a loop or recursion to calculate each term and accumulate the sum. By adjusting the number of terms, we can obtain different approximations of y.

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The inequality for the load in truck is 300r + 425p ≤ 6300.

11 refrigerators and 8 pianos will overload the truck.

Given,

The carrying capacity of truck = 6300 lbs

The truck is used to transport refrigerators and pianos.

The weight of 1 refrigerator = 300 lb

The weight of 1 piano = 425 lb

We have to find an inequality which shows the number of refrigerators and pianos could the truck carry.

Let's take the number of refrigerators as r and number of pianos as p.

We can equate by using their weights:

That is,

300r + 425p ≤ 6300

Next, we need to determine that, will 11 refrigerators and 8 pianos overload the truck:

We have to multiply the given number with their weights:

That is,

(300 × 11) + (425 × 8) = 3300 + 3400 = 6700

6700 is greater than 6300.

So, we can conclude that 11 refrigerators and 8 pianos will overload the truck.

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Answer:

D is the one:)

'21' 1/7's are there in 3 bananas.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Number of bananas paula had = 3

She wants to divide each of them into 1/7 sections.

= 3 ÷ \(\frac{1}{7}\)

= \(\frac{3}{\frac{1}{7} }\)

= 3 × 7

= 21

Hence, '21' 1/7's are there in 3 bananas.

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Hence ,  approximately 66.4 ml of acid in the solution.

What is acid solution?

Higher than that of pure water, an acidic solution has a high concentration of hydrogen ions (H +start superscript, plus, end superscript). A basic solution has a lower concentration of H +start superscript, plus, end superscript than pure water.

What is a hydrogen ion?

When a hydrogen atom's nucleus is separated from the orbiting electron, it becomes a hydrogen ion. The hydrogen nucleus is composed of a proton, or particle, with a single positive electric charge. Therefore, the single hydrogen ion, designated by the symbol H+, often serves as the standard representation of a proton.

GIVEN:

Water makes up 82.1% of a solution if acid makes up 17.9% of it.

We may do this by dividing the overall volume of the solution by the amount of acid present:

371 ml ×17.9% = 66.389 ml

As a result, the solution contains about 66.4 ml of acid

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Answer:

x=14•5 as whole numbers I mpre by 1 so 1st number is x then second number is x+1 and their sum is 30

Answer:

x = 5.29150262213

x = 2√7

\(x=28^{1/2}\)

Step-by-step explanation:

x² + 6² = 8²

x² + 36 = 64

x² + 36 - 36 = 64 - 36

x² = 28

√x² = √28

x = 5.29150262213

Divide the total cost by the number of games bought. The store with the lowest amount is the better buy.

Store A : 8.36/2 = $4.18 each game

Store B: 12.84/3 = $4.28 each game

Store A has the lower price per game so Store A has the better deal.

Answer:

x=2 hope this helps

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Step 1:

1/5x + 1/4x = 18

Step 2:

4/20x + 5/20x = 18

Step 3:

9/20x = 18

Answer:

x = 4

Hope This Helps :)

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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\(`x^2y" + 5xy' + (4 - 1x)y = 0\)`It is a Cauchy-Euler equation, therefore we assume the solution of the form \(`y1 = x^r Σ^[infinity]_n=0 (c_n x^n)`.\)

We know that `r` is one of the roots of the quadratic equation `m(m-1) + 5m + (4-x) = 0`.So, the roots are given by `m_1 = (-5 + √(25 - 4(4-x)))/2` and `m_2 = (-5 - √(25 - 4(4-x)))/2`.On simplifying the above expression, we get `m_1 = 1` and `m_2 = -4`.Thus, the general solution is `y1 = c_1 x + c_2 x^-4`.Also, the given solution is of the form `y1 = x^r Σ^[infinity]_n=0 (c_n x^n)`.

Hence, substituting `r = 1`, we have `y1 = x^1 Σ^[infinity]_n=0 (c_n x^n)`.The first three terms of the series are:`y1 = c_0x + c_1x^2 + c_2x^3 + c_3x^4 + ...`Here, we are given that `c_0 = 1`. Therefore,`y1 = x Σ^[infinity]_n=0 (c_n x^n)`Thus, `r = 1` and `c_n = 0` for all `n >= 1`.Hence, `r = 1` and `c_n = 0`, for `n = 1, 2, 3, ...`.Thus, the value of `r = 1`.

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It's important to note that this calculation assumes that the items in each category are distinct and that Soo Jin can select any item from each category without any restrictions or dependencies.

To determine the number of different possible characters Soo Jin can create for the video game, we need to consider the combinations of items from each category.

Let's assume there are n1 items in Category 1, n2 items in Category 2, n3 items in Category 3, and n4 items in Category 4. To find the total number of possible characters, we multiply the number of options in each category:

Total number of characters = n1 * n2 * n3 * n4

For example, if Category 1 has 5 items, Category 2 has 3 items, Category 3 has 2 items, and Category 4 has 4 items, the total number of possible characters would be:

Total number of characters = 5 * 3 * 2 * 4 = 120

So Soo Jin can create 120 different characters by selecting one item from each of the four categories.

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The value is 10.81

From the question, we have

\(\sqrt{3^{4} +6^{2} } \\=\sqrt{81+36 }\\=\sqrt{117 }\\ = 10.81\)

The value is 10.81

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

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The Intermediate Value Theorem (IVT) is a theorem in calculus that states that if a continuous function f(x) takes on values of opposite signs at two points a and b, then there exists at least one point c between a and b such that f(c) = 0.

In order to use the IVT, the function f(x) must be continuous on the closed interval [a, b]. This means that the function must be defined at every point in the interval, and that there are no gaps or jumps in the graph of the function on that interval. In addition, the function must not have any asymptotes or vertical lines of discontinuity on the interval, as these would prevent the function from being continuous.

If the function satisfies these conditions, then we can use the IVT to show that there exists at least one point in the interval where the function takes on a particular value, such as zero. The IVT is a powerful tool in calculus, as it allows us to prove the existence of solutions to equations and inequalities without actually finding those solutions.

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888+88+8+8+8 is the real answer.

Answer:

we know that distance = speed *time

hence d= t*s

=2*0.72{ no need to convert into second and meter because both are given in km and hr}

=1.44 m

it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1  .

The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.

The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.

Which proves that :  ∠1 and ∠4 are complimentary to the same angle that is ∠5.

Therefore, the ∠ 1 is congruent to angle 4 .

The given question is incomplete , the complete question is

From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?

(a) angle1

(b) angle2

(c) angle3

(d) angle5

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Answer:

a ≤ -2

Step-by-step explanation:

3a + 7 - 9a ≥ 19

Take seven form both sides:

3a - 9a ≥ 12

Simplify:

-6a ≥ 12

Divide both sides by -6 (note that when you divide/multiply both sides of an inequality by a negative number, you must flip the inequality sign):

\(\frac{-6a}{-6}\) ≤ \(\frac{12}{-6}\)

... which evaluates to a ≤ -2

The expected number of flips until the first time that your previous 2012 flips are HTHT is = 4096

According to the information given in the question,

Now to calculate the chances of getting HTHT for the first time will be,

E(x) = n × p

Where E(x) = the expected number of flips.

n = number of flips.

p = Probability of getting HTHT

Given,

n = 2012

p = ( \(\frac{1}{4096}\) )

E(x) = 4096

Therefore, the expected number of flips until the first time that your previous 2012 flips are HTHT is = 4096

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You are repeatedly flipping a fair coin. what is the expected number of flips until the first time that your previous 2012 flips are HTHT ...?you are repeatedly flipping a fair coin. what is the expected number of flips until the first time that your previous 2012 flips are HTHT ...?

Answer:

I think it is D.

Step-by-step explanation: So I am not 100% Sure on this, but if D is wrong, it is 100% A.

Answer:

D

Step-by-step explanation:

Because 20% increased is like 4 over 20, 4 times 20 is 100 so x is over 100

Answer:

B

Step-by-step explanation:

The angle between the electric field and the axis of the polarizing filter is approximately 63.43 degrees.

The intensity of a polarized light wave passing through a polarizing filter is given as 40.0% (or 0.4) of the original intensity. The relationship between the intensity and the angle between the electric field and the axis of the filter is given by Malus's law, which states that the transmitted intensity is proportional to the square of the cosine of the angle.

Solving for the angle in the equation I = I₀ * cos²(angle), where I is the transmitted intensity and I₀ is the original intensity, we can substitute I/I₀ = 0.4 and solve for the angle, which gives us arccos(sqrt(0.4)).

Evaluating this expression, we find that the angle is approximately 63.43 degrees.

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Answer:

8 cm

Step-by-step explanation:

:)

Answer:

square both sides

I.e,tan²0=3

from,tan²0 +sec²0 = 1

so,tan²0=1-sec²0

1 - sec²0=3

sec²0 = 1 - 3

sec²0=-2

square root both sides

sec0 =√-2