.164 round to the nearest tenth

Answer:

1-left 2-middle 3-middle 4-right 5- right

Step-by-step explanation:

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The probability that in 63 tosses of a fair die, fewer than 6 fours will be obtained is approximately 0.068. The probability that in 48 tosses of a fair die, fewer than 9 fours will be obtained is approximately 0.026.

1. Let X be the number of fours in 63 tosses of the fair die. X is a binomial random variable with n = 63 and p = 1/6 (since there is 1 favorable outcome and 6 possible outcomes on each toss). We need to find P(X < 6), which can be calculated using the normal approximation to the binomial distribution. The mean and standard deviation of X are:

μ = np

μ = 63/6

μ = 10.5

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{63/6 \times 5/6}\)

σ ≈ 2.485

To use the normal approximation, we standardize X:

Z = (X - μ)/σ = (5.5 - 10.5)/2.485 ≈ -2.01

We want to find P(X < 6), which is equivalent to P(Z < (6 - 10.5)/2.485) = P(Z < -1.80). From a standard normal distribution table or calculator, we find that P(Z < -1.80) ≈ 0.03593. Therefore, P(X < 6) ≈ 0.03593, which when rounded to the nearest thousandth is approximately 0.068.

2. Let X be the number of fours in 48 tosses of the fair die. X is a binomial random variable with n = 48 and p = 1/6. We need to find P(X < 9), which can be approximated using the normal distribution.

μ = np

μ = 48/6

μ = 8

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{48/6 \times 5/6}\)

σ ≈ 2.044

To use the normal approximation, we standardize X:

Z = (X - μ)/σ = (8.5 - 8)/2.044 ≈ 0.25

We want to find P(X < 9), which is equivalent to P(Z < (9 - 8)/2.044) = P(Z < 0.49). From a standard normal distribution table or calculator, we find that P(Z < 0.49) ≈ 0.68681. Therefore, P(X < 9) ≈ 0.68681, which when rounded to the nearest thousandth is approximately 0.026.

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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The ratio of the volume of the figure is 3:1.

The term called volume in math is defined as the space occupied within the boundaries of any three-dimensional solid

Here we know that the cylinder and a cone are having equal radii of their bases and heights.

Then let us consider that radius of the cone is equal to radius of the cylinder is defined as r and Height of the cone and height of the cylinder is defined as h.

Then their volume is written as,

=> Volume of cylinder /volume of cone

=> πr²h/ (1/3)πr²h

When we simplified this on, then we get the fraction as,

=> 3/1

Then the resulting ratio is 3:1.

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Answer:

1)Eliminate redunant parentheses

(2h7)(7h)

=2h7(7h)

2)Eliminate redunant parentheses

2h7(7h)

=2h7.7h

3)Multiply the numbers

2h7.7h

=2×7h7h

=14h7h

4)Combine exponents

14h7h1

=14h7+1

=14h8

Solutions cannot be more concentrated than a solution that has a %T of 10%

Solutions cannot be less concentrated than a solution that has a %T of 90%.

Beer's Law:

Beer's law (sometimes called Beer-Lambert's law) states that absorption is proportional to the path length b through the sample and the concentration c of the absorbing substance: The constant of proportionality is sometimes designated by the symbol a, which makes Beer's law literal.

The linearity of the law is limited by chemical and instrumental factors. The reasons for the nonlinearity are: Absorbance deviation at high concentrations (>0.01 M) due to electrostatic interactions between adjacent molecules.

Limitation of Beer's Law:

The linearity of the law is limited by chemical and instrumental factors.

Causes of non-linearity include:

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Answer:

-----------------------

Let Anita be x now.

Her mother is 5 times older and in two years time she will be 5x + 2.

Rita is half the age of Anita and in two years time she will be (x/2) + 2.

The sum of ages after two years will be 58:

Anita is 8 years old.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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The answer to your question is: A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered C. An outlier.

A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered an outlier. This is because an outlier is defined as a data point that is significantly different from other data points in the same sample. In this case, a z score of less than -3.00 or greater than +3.00 indicates that the value is more than three standard deviations away from the mean, which is a rare occurrence. Therefore, it is likely to be an outlier.

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Answer:

The answer is 8$- Took the test

Step-by-step explanation:

The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):

\($$ BD^2 = 4^2 + 5.5^2 $$\)

\($$ BD^2 = 16 + 30.25 $$\)

\($$ BD^2 = 46.25 $$\)

\($$ BD = \sqrt{46.25} $$\)

\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)

Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):

\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)

\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)

\($$ \cos(A) = 0.5471 $$\)

\($$ A = \cos^{-1}(0.5471) $$\)

\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)

Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:

\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)

\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)

\($$ \cos(B) = 0.7416 $$\)

\($$ B = \cos^{-1}(0.7416) $$\)

\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)

Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

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Answer:

19/100

Step-by-step explanation:

0.19 as a reduced fraction would be very similar to 19/100

so the first step would be Convert 0.19 to a fraction form which will give you 0.19= 19/100

so the second step would be to find the common

faster of 19 and 100. (which is 1 HCF)

than for step 3 :you would have to divide the numbers by HCF to get 19/100.

I hope this helps with your question.

Among the given points, only the point (-2.5, 4) lies in the solution set of the equation (x - 2)²/25 + (y - 3)²/4 < 1. (option c)

To determine which point lies in the solution set, we need to substitute the coordinates of each point into the equation and check if the inequality holds true.

a) (4, –0.5):

Substituting the coordinates (4, -0.5) into the equation, we get:

(4 - 2)²/25 + (-0.5 - 3)²/4

= 2²/25 + (-0.5 - 3)²/4

= 4/25 + (-3.5)²/4

= 4/25 + 12.25/4

= 0.16 + 3.0625

= 3.2225

Since 3.2225 is not less than 1, the point (4, -0.5) does not lie in the solution set.

b) (3, –2.5):

Substituting the coordinates (3, -2.5) into the equation, we get:

(3 - 2)²/25 + (-2.5 - 3)²/4

= 1²/25 + (-5.5)²/4

= 1/25 + 30.25/4

= 0.04 + 7.5625

= 7.6025

Again, 7.6025 is not less than 1, so the point (3, -2.5) does not lie in the solution set.

c) (–2.5, 4):

Substituting the coordinates (-2.5, 4) into the equation, we get:

((-2.5) - 2)²/25 + (4 - 3)²/4

= (-4.5)²/25 + 1²/4

= 20.25/25 + 1/4

= 0.81 + 0.25

= 1.06

Since 1.06 is less than 1, the point (-2.5, 4) lies in the solution set.

d) (–4.5, –3):

Substituting the coordinates (-4.5, -3) into the equation, we get:

((-4.5) - 2)²/25 + (-3 - 3)²/4

= (-6.5)²/25 + (-6)²/4

= 42.25/25 + 36/4

= 1.69 + 9

= 10.69

Like the previous points, 10.69 is not less than 1, so the point (-4.5, -3) does not lie in the solution set.

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Complete Question:

Given equation

(x - 2)²/25 + (y - 3)²/4 < 1,

Which point lies in the solution set?

a) (4, –0.5)

b) (3, –2.5)

c) (–2.5, 4)

d) (–4.5, –3)

Answer:

112

Step-by-step explanation:

Vertical angles are always equivalent, so the measure of angle 1 is just 112.

To test the claim, a hypothesis test can be conducted using the sample data.

The null hypothesis (H0) for this hypothesis test is that the proportion of students expected to pass the exam is 80% or less (p ≤ 0.80). The alternative hypothesis (Ha) is that the proportion is greater than 80% (p > 0.80).

The teacher administers the test to 200 random students, and out of those, 151 students pass the exam. To test the claim, a hypothesis test can be conducted using the sample data.

The test statistic, such as a z-test or a chi-square test, can be calculated to determine the likelihood of observing a proportion of 151 or more passing students under the assumption that the null hypothesis is true.

The test result will help evaluate whether there is sufficient evidence to support the teacher's claim.

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A stone arch can be twice as wide as a stone lintel because an arch distributes the weight of the structure vertically down its curve to the columns (piers) on either side while a lintel distributes the weight horizontally along the length of the stone.

A stone arch can be twice as wide as a stone lintel because an arch distributes the weight of the structure vertically down its curve to the columns (piers) on either side while a lintel distributes the weight horizontally along the length of the stone.

It requires only a small fraction of the arch's width to support itself while a lintel requires the full width of the structure that it spans. Thus, a stone arch can span a larger gap than a stone lintel and be twice as wide while using the same material.

For example, the Roman Colosseum uses an arch to span the entrances and exits while the walls supporting the upper levels use a series of stone lintels to support the structure.

Moreover, the arc prevents the need for a central support structure, which would be in the way of any events taking place in the structure. The technology of arches made them fundamental to ancient Roman architecture. For example, the arches were used to construct aqueducts, which provided a steady supply of water to the city of Rome.

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The actual cost data, it is not possible to calculate the actual cost per unit of production and shipping.

Based on the given budget data, the total expected cost per unit would be $205.71 if all manufacturing and shipping overhead costs were allocated to planned production. This cost per unit includes both variable and fixed costs, with variable costs per unit being $202.06 and fixed costs per unit being $3.65.

However, the actual cost per unit of production and shipping might have differed from the budgeted cost per unit due to various factors such as unexpected changes in production volume, changes in input costs, etc.

The actual cost per unit can be calculated by subtracting the actual fixed costs from the total actual costs and then dividing by the actual number of units produced and shipped.

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The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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Answer: 30.5

Step-by-step explanation:

Answer:

The answer is 100°

Step-by-step explanation:

supplementary angles are angles that sum up to 180°

x+80=180

x=180-80

x=100°

Answer:

100

Step-by-step explanation:

A supplementary angle have 180°

\(x + 80 = 180\\\)

then

\(x = 100\)

so the answer is

\(100\)

Hope this helps :)

Pls mark me as brainliest...

Answer:

to se es la cesa lopa nesma

Answer:

21

Step-by-step explanation:

\( \frac{25}{100} \times 84\)

Answer:

21

Step-by-step explanation:

The periodic solutions of the system are:

(0, 0),

(±√2, ±√2).

These points represent periodic orbits in the phase space of the system.

To determine the periodic solutions, if any, of the system:

ẋ = yx^p(x^2y^2 - 2),

ẏ = -xy^p(x^2y^2 - 2),

we need to find values of x and y for which the derivatives ẋ and ẏ are equal to zero simultaneously. These points represent potential periodic solutions.Setting ẋ = 0 and ẏ = 0, we have:

0 = yx^p(x^2y^2 - 2),

0 = -xy^p(x^2y^2 - 2).

From the first equation, we can see that either y = 0 or x^2y^2 - 2 = 0.

If y = 0, then the second equation implies that x = 0. Therefore, (0, 0) is a solution.

If x^2y^2 - 2 = 0, then x^2y^2 = 2.

Taking the square root of both sides, we get xy = ±√2.Considering the second equation, we have -xy^p(x^2y^2 - 2) = 0.

Substituting xy = ±√2, we find that this equation holds true.

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The area of the square sandbox is 1,296 square inches

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Area of a square = Side × Side

                            =  \(Side ^{2}\)

According to the question

Side of a square sandbox =  36 inches

Therefore,

The area of the square sandbox =  \(Side ^{2}\)

                                                      =  \((36)^{2}\)

                                                      =  1,296 square inches

Hence, the area of the square sandbox is 1,296 square inches

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Answer:

Given - A circle with centre at O .

To Prove - angle poq = 2 angle paq .

Proof - angle poq = angle paq -------- 1.

Similarly :

POQ =2 PBQ

From 1

2 PBQ = 2 PAQ

Angle PBQ = Angle PAQ .

HENCE PROVED...