WILL MARK BRAINLIEST
Given a||b and c is not parallel to a or b which statement must be true?
(Picture)

Answer:

x>-4

Step-by-step explanation:

Answer:

3,927 liters.

Step-by-step explanation:

So, in this question we are given the following parameters or information or data which is going to assist us in solving this particular Question;

=> "cylindrical tank is half full of oil."

=> "The cylinder has a base radius of 100cm The height of the cylinder is 250cm"

=> 1 litre =1000cm^3."

Therefore, the formula that we will be making use of in this question is given Below as;

=> Volume = 1/2 × height × (radius)^2 × π.

=> Volume = 1/2 × 250 × 100^2 × π.

Volume = 3926990 cm^3.

Recall that 1 litre =1000cm^3.

Hence, volume = 3,927 liters.

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Answer:

\(2x + 2(x - 3) = 18 \\ 2x + 2x - 6 = 18 \\ 4x = 24 \\ x = 24 \div 4 = 6 \\ y = x - 3 = 6 - 3 = 3\)

Answer:

No, they are not similar to each other because they are not proportional to each other.

Step-by-step explanation:

A proportional statement with both of these triangles would look like this :

8/16 = 12/12

That is not a true statement, so the triangles aren't similar :)

Answer:

No, they are not similar because are not proportional

Step-by-step explanation:

Set up proportion and simplify to check:

8/12 = 16/12

Left side is 0.6, right side is 1.3

These are not the same so no this would not work.

Cindy's average tax rate is approximately 13.59%.

To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.

Average tax rate = (Total tax paid / Taxable income) * 100

In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.

Average tax rate = (8,902 / 65,500) * 100

Average tax rate ≈ 13.59%

Therefore, Cindy's average tax rate is approximately 13.59%.

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Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.

How to find the average tax rate?

The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.

Average Tax Rate = Total Tax Paid / Taxable Income Cindy's

The average tax rate can be found as follows:

Average tax rate = (Total tax paid ÷ Taxable income) × 100%

Average tax rate = ($8,902 ÷ $65,500) × 100%

Average tax rate = 0.135994 × 100% ≈ 13.60%

Therefore, Cindy's average tax rate is 13.60%.

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Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.

To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:

        x² - 2x + 4

x+2 | x³ + 0x² + 0x + 8

      - (x³ + 2x²)

    --------------------

         -2x² + 0x + 8

       - (-2x² - 4x)

         ---------------

              4x + 8

            - (4x + 8)

              --------

                 0

Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).

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Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

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it can be concluded that the population standard deviation is within or less than 12.

To construct a hypothesis test to determine whether the population standard deviation of σ≦12 should be rejected for Costco, we can use a chi-square test for variance.

Step 1: State the null and alternative hypotheses:
- Null hypothesis (H₀): σ ≤ 12
- Alternative hypothesis (H₁): σ > 12

Step 2: Determine the level of significance (α = 0.05) and degrees of freedom (df = n - 1 = 11 - 1 = 10).

Step 3: Calculate the test statistic:
- χ² = (n - 1) * (s² / σ²) = 10 * (11.3² / 12²) = 10 * 0.94 = 9.4

Step 4: Determine the critical value:
- The critical value at α = 0.05 with df = 10 is χ²ₐ = 18.307

Step 5: Compare the test statistic with the critical value:
- Since χ² = 9.4 < χ²ₐ = 18.307, we fail to reject the null hypothesis.

Step 6: Conclusion:
- Based on the given sample data, there is not enough evidence to reject the hypothesis that the population standard deviation of σ≤12 for Costco.

Therefore, it can be concluded that the population standard deviation is within or less than 12.

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The value of a is 133 and b is 999.

A vinculum is a horizontal line that serves a variety of functions in mathematical notation.  In decimal numbers, a bar across one or more consecutive digits indicates that the pattern of digits beneath the bar repeats indefinitely.

Given \(0.\overline{1331}\). This means that 1331 repeats many times in this expression. This expression is the same as 1330/9990.

1, 7, 19, and 133 are factors of 133, and  1, 3, 9, 27, 37, 111, 333, and 999 are the factors of 999. From this, the GCD is found to be 1.

Therefore, by simplifying, we get 1330/9990 = 133/999. The answer to a is 133 and b is 999.

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In general, 62% of the values in a data set lie at or below the 62th percentile. 76% of the values in a data set lie at or above the 76th percentile. If a sample consists of 900 test scores, 504 of them would be at or below the 56th percentile. If a sample consists of 900 test scores, 540 of them would be at or above the 40th percentile.

A percentile is a comparison score among a particular score and the scores of the rest of a group. It presents the percentage of scores which a particular score surpassed. For example, if you score 85 points on a test, and are ranked in the 75th percentile, this means that the score 85 is higher than 75% of the scores. In general, percentile defines the percentage of a data set which is below or at a value which is being considered.

Thus, the percentage of the values of a data set that lies below or at the 62th percentile is 62%.

And also, the values of a data set that lies below or at the 76th percentile is 76%.

Given a sample of 900 test scores, the number of test scores that will be at or below the 56th percentile is 56% of 900 which is mathematically represented as:

n = 56% x 900

n = 56/100 x 900

n = 504 test scores

Given a sample of 900 test scores, the number of test scores that will be above the 40th percentile is (100 - 40 = 60) % of 900 which is mathematically represented as:

n = 60% x 900

n = 60/100 x 900

n = 540 test scores

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Answer: b

Step-by-step explanation:

The volume of the solid whose base is a circle of radius 5, if slices made perpendicular to the base are isosceles right triangles with one leg on the base is 125π√2 units³.

Given that, The base of the solid is a circle of radius r = 5.Since slices made perpendicular to the base are isosceles right triangles with one leg on the base. The perpendicular height of the triangle would be r √2.By using the formula of volume of solid, Volume of the solid = Area of base x Height of the solid Area of the base of the solid is given as;πr² Volume of the solid = πr² x r√2= π(5)² x 5√2= 125π√2 units³.

An isosceles right triangle is a type of triangle that has two sides of equal length and one right angle. It is a special case of both an isosceles triangle (a triangle with two sides of equal length) and a right triangle (a triangle with one right angle measuring 90 degrees).

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Answer:

The square root of 40 is approximately 6.324555320336759.

Rounded off would be 6

Answer:

250

Step-by-step explanation:

We have a variable x that is normally distributed with:

A. Using the data above we must find the 56th-percentile for the random variable x.

First, we need to find the z-score associated with this percentile. How we do that? We must find the value of z that solves the following equation:

Based on this, we find that the solution is z = 0.151 because from the normal table we see that:

Therefore, the percentile we are looking for is computed using the following formula:

B. We must find the proportion of the values for the random variable x between 82 and 89.

In mathematical terms, in this case, we must compute the following probability:

Again, we must obtain the z-scores to solve this. The corresponding z-values needed to be computed are:

Now, because the variable x is a normal distribution, then the variables Zlow and Zup have a normal distribution. Therefore, the probability is computed in the following way:

C. Finally, we must compute the following probability:

The corresponding z-value needed to be computed is:

Again, because x follows a normal distribution, then the variable Zlow has a normal distribution and the probability is computed as:

Summary

The results are:

A. 76.208

B. 0.1507

C. 0.0168

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Answer:

Step-by-step explanation:

Certainly! "Mean," "median," and "mode" are three different measures of central tendency used in statistics to describe a dataset. They help provide insight into the typical or central value within a set of data points.

1. **Mean:**

  - **Definition:** The mean, also known as the average, is calculated by adding up all the values in a dataset and then dividing by the total number of values.

  - **Calculation:** Mean = (Sum of all values) / (Number of values)

  - **Explanation:** The mean gives you the "typical" or "average" value in a dataset. It's the sum of all the values divided by the number of values. For example, if you have test scores of 80, 85, 90, 92, and 95, the mean score would be (80 + 85 + 90 + 92 + 95) / 5 = 88.4.

2. **Median:**

  - **Definition:** The median is the middle value in a dataset when the values are arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle values.

  - **Explanation:** The median is the middle value that separates the dataset into two equal halves. It is not influenced by extreme values (outliers) as much as the mean. For example, in the dataset 4, 7, 9, 12, 15, the median is 9 because it's the middle value.

3. **Mode:**

  - **Definition:** The mode is the value that appears most frequently in a dataset. A dataset can have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.

  - **Explanation:** The mode represents the most common value or values in a dataset. For example, in the dataset 2, 3, 3, 4, 4, 4, 5, the mode is 4 because it appears more frequently than any other value.

In summary, the mean is the average value, the median is the middle value, and the mode is the most frequently occurring value in a dataset. Each of these measures provides different insights into the central tendency of data and can be useful for various statistical analyses and interpretations.

The sum of the digits 'A' and 'B' is 10, with respect to the data in the question.

Question:

Suppose 'A' and 'B' are digits for which the product of the two-digit numbers 2A and AB is 1971. Find the sum of 'A' and 'B'.

We know that any number can be expanded in the form of place value equations.

For example,

59 = 10*5 + 1*9

137 = 100*1 + 10*3 + 1*7

Similarly,

The numbers '2A' and 'AB' in the question can be expanded as

2A = 10*2 + 1*A = 20 + A

AB = 10*A + 1*B = 10A + B

It is also given that the product of these numbers is 1971.

So, (20+A)(10A + B) = 1971

     (200A + 20B + 10A² + A*B) = 1971

We know that both A and B are between 0 and 9, both included as they are digits. By Trial and Error, we can say that A = 7 and B = 3 satisfy the equation given above.

Thus the sum of the digits is 10.

Proof of this can be seen by graphing the equation, where the only point with integer values on the curve is (7,3).

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An expression for cos(2θ) in terms of x is cos(2θ) = 1 - 2x²

To find an expression for cos(2θ) in terms of x, we can use the double angle identity for cosine:

cos(2θ) = 2cos²(θ) - 1

Since we know sin(θ) = x, we can use the Pythagorean identity for sine and cosine to find cos(θ):

cos²(θ) = 1 - sin²(θ) = 1 - x²

Now we can substitute this expression for cos²(θ) into the double angle identity:

cos(2θ) = 2(1 - x²) - 1 = 1 - 2x²

Therefore, an expression for cos(2θ) in terms of x is:

cos(2θ) = 1 - 2x²

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Answer:m= 83 degrees

Step-by-step explanation: the sum of all three corners will always add up to 180 so adding 31 and 66 together is 97 an then 180-97 is 83.brainliest?

Rachel earns 9 dollars an hour

h · m = 81

9 · 9 = 81

Have a luvely day!

240 homes in the county are between $175,000 and $225,000.

The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.

Now since m= $225000

and $175000= $225000-$50000= $225000-(2* $25000)= m-2d

Thus, as per the image area covered between m and m-2d=  $225000

and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.

A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.

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Answer:

C because it is not a right angle unlike the others

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you get X. X has been given as 5 already so it is answered. Now finding Y.

Y=(5*5)-3

It is times 5 because x is 5.

Y=25-3

Y=22

Lauren should invite at least 25 people to her party in order to have at least 23 guests.

Option D is the correct answer.

We have,

Let x be the number of people Lauren should invite to her party.

Since 92% of the people she invites are expected to come, the actual number of guests she can expect is 0.92x.

We want to find the value of x that makes the expected number of guests at least 23.

Therefore, we can set up the following inequality:

0.92x ≥ 23

Solving for x, we divide both sides by 0.92:

x ≥ 25

Therefore,

Lauren should invite at least 25 people to her party in order to have at least 23 guests.

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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x^3 - a^3

The above expression represent differnt of 2 cubes

This can be re- written as

(x - a)^3

(x - a) ( x ^2 + ax + a^2)

expand the bracket

x * x^2 + ax*x + x *a^2 - a * x^2 - a * ax - a * a^2

= x^3 + ax^2 + a^2x - ax^2 - a^2x - a^3

collecting the like terms

= x^3 + ax^2 - ax^2 + a^2x -a^2x - a^3

ax^2 - ax^2 = 0

a^2x - a^2x = 0

Therefore

= x^3 + 0 + 0 - a^3

= x^3 - a^3

The value of the function, f(1) is 3. Note that the answer is already in its simplest form and cannot be expressed as a fraction.

First, let's start by understanding what the function f(x) represents. The function f(x) takes an input value x and returns an output value based on a specific rule. In this case, the rule is defined by the equation f(x) = 4(1/4)^x+2.

To find f(1), we need to substitute 1 in place of x in the equation for f(x). So, we get:

f(1) = 4(1/4)^1 + 2

Now, we need to simplify this expression. Recall that any number raised to the power of 1 is just that number itself. So, (1/4)^1 is just 1/4.

Therefore, we can simplify the expression as follows:

f(1) = 4(1/4) + 2

= 1 + 2

= 3

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Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

\(\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348\)

Rounding, we get x = 16.35 as our answer