Find all the solutions to the congruence 21x ≡ 9 (mod
165)

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Standard form of given expanded form of a number is 16518.

The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Given

Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

We have to convert the expanded form into standard form

= 5000 + 70 + 8 + 440 + 11000

= 16518

Thus, standard form of given number is 16518.

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Answer:

16,518

(or  1.6518 x 10⁴)

Step-by-step explanation:

Expanded form:  The digits of a number are split into individual digits based on their place value.  Each digit of a number can be written in  multiple of 1, 10, 100, 1000, etc.

Standard form:  The combination of digits written together as a single number.

The given number is not quite, but almost, written in expanded form:

(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)

For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).

If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:

\(\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}\)

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However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of \(a \times 10^n\), where  \(1\leq a < 10\)  and  \(n\) is any positive or negative whole number.

To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 (\(n\)).

If the decimal point has moved to the left, the power is positive.

If the decimal point has moved to the right, the power is negative.

To convert 16518 into standard form:

Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):

⇒ 1.6518 x 10⁴

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**I have provided both standard forms, as it is not clear from the question which is required.**

Answer:

36

Step-by-step explanation:

Sum of the exterior angle of a polygon = 360

so one exterior = 2x

There are 5 exteriors totaling 10x

10x = 360

x = 36

Answer:

36

Step-by-step explanation:

just took the exam and got 100%

The inequalities represented are:

In mathematics, an inequality is a statement that two values or expressions are not equal. It is used to compare two values and determine the relationship between them. Inequalities use symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

Inequalities can be solved and graphed on a number line to show all possible solutions that satisfy the inequality. They are commonly used in algebra and calculus to express a range of values for a variable.

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Answer:

Hey there. Heres ur answer

Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics:

One to five roots.

Zero to four extrema.

One to three inflection points.

Answer: the answer to this is true

Answer:

1/16

Step-by-step explanation:

Since no cards are removed between each shuffle, the chance of drawing a spade both times remains the same, meaning it is 1/4 both times. 1/4 * 1/4 =1/16

The probability of drawing two spades in two draws if the first card is returned to the deck between draws will be 1 / 16.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that the chance of drawing a spade from a deck of cards is 1/4. If the deck is shuffled between draws.

The probability will be calculated as,

Probability = 1 / 4 x 1/ 4

Probability = 1 / 16

Hence, the probability will be equal to 1 / 16.

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Answer:

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

Answer:

Step-by-step explanation:

h(1) = 0 ⇒

h'(1) = 4 ⇒ h(4) = 1 ⇒

Considering the equation (1) in the equation (2)

and

Answer:

x=2

Step-by-step explanation:

Answer:

39 : 13 : 26 or 78 cookies total

Step-by-step explanation:

if following the rule, divide the normal amount of cookies by the total

(26 divided by 2 = 13)

then multiply that 13 with the other two numbers and thats your answer

Answer:

terminating

Step-by-step explanation:

if the given fraction is terminating then prime factors of denominator should be 2^n x 5^m where m and n are whole number

5=1x5=2^0x5^1

so it is of form 2^nx5^m

Answer:

A. 45

Step-by-step explanation:

Answer:

A. 45

Step-by-step explanation:

it's the smaller numbers on the right side, if you see them

Answer:

Efficency, for getting work done on time, Skill, for able to do what kind of design is requested to her, A listening and patient ear by understanding what the customer needs and taking down details.

Step-by-step explanation:

On solving the provided question, we can say that by unitary method With ten power crystals, 35 zombie troops can be raised.

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Liliana raised 14 zombie troops with the help of four dark power stones.

Zombie troops can be increased to a total of 14 with 4 Dark power crystals. Zombies can be raised with 1 Dark power crystal, or 14/4.

Zombie soldiers can be raised using 1 Dark power crystal, or 7/2.

Zombie troops can be generated with 1 Dark power crystal by adding 10 to 7/2. You can produce 5 * 7 zombie troops with 1 Dark power crystal.

35 zombie troops can be generated with 1 dark power crystal.

With ten power crystals, 35 zombie troops can be raised.

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a. To determine the most consistent results, Charles, Isabella, and Naomi should calculate the range.

b. Isabella achieved the most consistent results with the smallest range of 9, while Charles and Naomi had ranges of 18 and 33, respectively.

a) To determine who has the most consistent results, Charles, Isabella, and Naomi should calculate the range. The range measures the spread or variability of the data set and provides an indication of how dispersed the individual results are from each other.

By calculating the range, they can compare the differences between the highest and lowest scores for each person, giving them insight into the consistency of their performance.

b) To find out who achieved the most consistent results, we can calculate the range for each individual and compare the values.

For Charles: The range is the difference between the highest score (57) and the lowest score (39), which is 57 - 39 = 18.

For Isabella: The range is the difference between the highest score (71) and the lowest score (62), which is 71 - 62 = 9.

For Naomi: The range is the difference between the highest score (94) and the lowest score (61), which is 94 - 61 = 33.

Comparing the ranges, we can see that Isabella has the smallest range of 9, indicating the most consistent results among the three. Charles has a range of 18, suggesting slightly more variability in his scores. Naomi has the largest range of 33, indicating the most variation in her results.

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Answer:

11/18 which is 6.11

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

The total number of possible ways to create a license plate with 2 letters followed by 3 numbers if no repetition is 4,680,00.

To calculate the number of ways to create a license plate with 2 letters followed by 3 numbers, we need to consider two separate parts: the number of ways to choose the two letters, and the number of ways to choose the three numbers. Since no repetition is allowed, we have to take this into account in both parts.

For the first part, we have 26 choices for the first letter and 25 choices for the second letter, since we cannot choose the same letter twice.

For the second part, we have 10 choices for each of the three numbers. Again, we cannot choose the same number twice, so we have to decrease the number of choices by 1 for each subsequent number.

Thus, the total number of ways to create a license plate with 2 letters followed by 3 numbers is:

26 x 25 x 10 x 9 x 8 = 468,000

If no repetition of characters is allowed, then the number of possible ways to create a license plate with 2 letters followed by 3 numbers can be calculated as follows:

There are 26 choices for the first letter (A-Z).

There are 25 choices for the second letter (since no repetition is allowed).

There are 10 choices for the first number (0-9).

There are 9 choices for the second number (since no repetition is allowed).

There are 8 choices for the third number (since no repetition is allowed).

Therefore, the total number of possible ways to create a license plate with 2 letters followed by 3 numbers if no repetition is allowed is:

26 x 25 x 10 x 9 x 8 = 4,680,00

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The boat is approaching the dock is 3 feet per second at the instant the boat is 2 feet from the dock.

Given that a pulley is on the edge of a dock, 10 feet above the water level.

A rope is being used to pull in a boat. The rope is attached to the boat at water level. The rope is being pulled in at the rate of 3 feet per second.

We need to find the rate at which the boat is approaching the dock at the instant the boat is 2 feet from the dock.

Let the distance between the boat and the dock be y and the length of the rope be x.

Therefore, y + 10 = x

Now, we have to find the rate at which the boat is approaching the dock at the instant the boat is 2 feet from the dock. We need to differentiate the above equation with respect to time.

We have the rate of change of the distance between the boat and the dock with respect to time.

Therefore, we get d(x) / d(t) = d(y + 10) / d(t)

Or, \(dx/dt = dy/dt\) ---------(1)

Now differentiate y + 10 = x with respect to time to get the value of dy/dt

We get \(dy/dt + 0 = dx/dt\)

Or, \(dy/dt = dx/dt\)------------- (2)

Substitute equation (2) in equation (1), we get

\(dx/dt = dy/dt = 3\) feet per second.

This means that the rate at which the boat is approaching the dock is 3 feet per second at the instant the boat is 2 feet from the dock.

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Answer:

The ratio of 3:6 means the 180 degrees has been split into 3+6 = 9 parts. One angle is 3 parts, so it = 3*20 = 60 degrees. The other is 6 parts, so it = 6*20 = 120 degrees.

Step-by-step explanation:

brainliest please

The measure of the larger angle is 60°

"Two angles are complementary angles when their sum is 90°"

"It is the comparison of two quantities of the same type."

For given example,

the ratio two complementary angles is 3:6

This means these complementary angles are 3x, 6x , where x represents the common angle of the ratio 3:6

Since the sum of the complementary angles is 90°

⇒ 3x + 6x = 90

⇒ 9x = 90

⇒ x = 90/10

⇒ x = 10°

So, the measure of the complementary angles would be,

⇒ 3x = 3 × 10°

⇒ 3x = 30°

And, 6x = 6 × 10°

⇒ 6x = 60°

Therefore, the measure of the larger angle is 60°

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Answer:

u = -3

Step-by-step explanation:

Step 1: Write equation

-4 + 2u = -10

Step 2: Solve for u

Add 4 to both sides: 2u = -6

Divide both sides by 2: u = -3

Step 3: Check

Plug in x to verify if it's a solution.

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3

The position of the bicyclist at t=8 minutes is 3.2 km

Speed is the rate of change of position of an object in any direction.

position the way in which something or someone is placed or arranged.

when time t = 6 position d = 5

when time t = 5 position d = 2

when time t = 8 position d = x

therefore we can say

8 / x = 5 / 2

x = 8 * 2 /5

  = 3.2 km.

Hence the position of the bicyclist at t=8 minutes is 3.2 km.

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complete question:

The position "d" of a bicyclist (measured in kilometers) is a linear function of time "t" (measured in minutes). At time t=6 minutes, the position is d=5 km. If the bicyclists travels at 2 km for every 5 minutes, find the position of the bicyclist at t=8 minutes.

Answer:

I think it's " 3-10x ..perdón

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

the expected number of hours a car will be parked is 2.61, the variance is 2.894658, and the standard deviation is approximately 1.70.

a. To find the value of k, we need to ensure that the sum of all probabilities equals 1.

Summing up the given probabilities, we have:

0.14 + 0.26 + 0.13 + 0.10 + k + 0.04 + 0.20 = 1

Combining like terms, we get:

0.87 + k = 1

Subtracting 0.87 from both sides, we find:

k = 1 - 0.87

k = 0.13

Therefore, the value of k is 0.13.

b. To find the probability that a car will be parked for at most 3 hours, we need to sum the probabilities for x = 1, 2, and 3.

P(x ≤ 3) = P(x = 1) + P(x = 2) + P(x = 3)

P(x ≤ 3) = 0.14 + 0.26 + 0.13

P(x ≤ 3) = 0.53

The probability that a car will be parked in this parking lot for at most 3 hours is 0.53.

c. To calculate the probabilities:

1. P(x = 7): The probability that a car will be parked for 7 hours is given as 0.04.

2. P(x^2): This notation is ambiguous. If it represents the square of the random variable x, then it would mean finding P(x = 1), P(x = 4), P(x = 9), P(x = 25), P(x = 36), and P(x = 49) and summing them up. However, if it represents the random variable squared, it would involve squaring each value of x and finding the corresponding probabilities. Please clarify the intended meaning.

3. P(x < 4): To find the probability that a car will be parked for less than 4 hours, we sum the probabilities for x = 1, 2, and 3.

P(x < 4) = P(x = 1) + P(x = 2) + P(x = 3)

P(x < 4) = 0.14 + 0.26 + 0.13

P(x < 4) = 0.53

d. To find the expected number of hours a car will be parked, we multiply each value of x by its corresponding probability and sum them up.

Expected value (µ) = Σ(x * P(x))

Expected value = (1 * 0.14) + (2 * 0.26) + (3 * 0.13) + (5 * 0.10) + (6 * 0.13) + (7 * 0.04)

Expected value = 0.14 + 0.52 + 0.39 + 0.50 + 0.78 + 0.28

Expected value = 2.61

Therefore, the expected number of hours a car will be parked in the parking lot is 2.61.

To find the variance, we calculate the sum of the squared differences between each value of x and the expected value, multiplied by their corresponding probabilities:

Variance (σ^2) = Σ((x - µ)^2 * P(x))

Variance = [(1 - 2.61)^2 * 0.14] + [(2 - 2.61)^2 * 0.26] + [(3 - 2.61)^2 * 0.13] + [(5 - 2.61)^2 * 0.

10] + [(6 - 2.61)^2 * 0.13] + [(7 - 2.61)^2 * 0.04]

Variance = (2.61 - 2.61)^2 * 0.14 + (2 - 2.61)^2 * 0.26 + (3 - 2.61)^2 * 0.13 + (5 - 2.61)^2 * 0.10 + (6 - 2.61)^2 * 0.13 + (7 - 2.61)^2 * 0.04

Variance = 0 + 0.0729 * 0.14 + 0.0156 * 0.26 + 0.0049 * 0.13 + 7.9281 * 0.10 + 11.0704 * 0.13 + 16.2649 * 0.04

Variance = 0 + 0.010206 + 0.004056 + 0.000637 + 0.79281 + 1.436352 + 0.650596

Variance = 2.894658

Finally, the standard deviation (σ) is the square root of the variance:

Standard deviation (σ) = √Variance

Standard deviation = √2.894658

Standard deviation ≈ 1.70

Therefore, the expected number of hours a car will be parked is 2.61, the variance is 2.894658, and the standard deviation is approximately 1.70.

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the probability of drawing 3 or more white marbles when 5 marbles are drawn from the bag without replacement.

To calculate this probability, we can use the formula for the hypergeometric distribution, which is:

P(X ≥ 3) = [C(10,3) * C(10,2)] / C(30,5) + [C(10,4) * C(10,1)] / C(30,5) + [C(10,5)] / C(30,5)

Where C(n,r) is the number of ways to choose r items from a set of n items.

formula is that we need to consider three different cases: drawing exactly 3 white marbles, drawing exactly 4 white marbles, and drawing all 5 white marbles. For each case, we calculate the probability of drawing the required number of white marbles and the probability of drawing the remaining marbles (non-white marbles), and then multiply them together. Finally, we add up the probabilities for all three cases to get the total probability of drawing 3 or more white marbles.

Using the formula, we get:

P(X ≥ 3) = [(C(10,3) * C(20,2)) + (C(10,4) * C(20,1)) + C(10,5)] / C(30,5)

= [(120 * 190) + (210 * 20) + 252] / 142506

= 0.209

Therefore, the probability of drawing 3 or more white marbles when 5 marbles are drawn from the bag without replacement is 0.209.

using the hypergeometric distribution formula, we can calculate the probability of drawing 3 or more white marbles from a bag containing 5 red marbles, 6 blue marbles, 10 white marbles, and 9 yellow marbles when 5 marbles are drawn without replacement. The probability is 0.209.

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