The number of points Jadas basketball team scored in their games has a mean of about 44 and a standard deviation of about 15.7 points. Interpret the mean and standard deviation in the context of Jadas basketball team.

you can only choose 4 unique ways Step-by-step explanation:

The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

All the real numbers x which satisfy the given inequality x²<4 , in  interval form is (-2, 2).

As given in the question,

Given inequality is given by :

x²< 4

Simplify the given inequality  x² < 4 to get all the real numbers x we have,

x² < 4

⇒ x² - 4 < 0

⇒ x² - 2² < 0

Apply a² - b² = ( a - b ) ( a + b ) we get,

⇒ ( x - 2 ) ( x + 2 ) < 0

⇒ x ∈ ( -2 , 2 ) as less than symbol represent open interval.

Therefore, all the real numbers x which satisfy the given inequality x²<4 , in  interval form is (-2, 2).

The complete question is :

Find all real numbers x such that x^2 < 4. Give your answer in interval notation.

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The lengths of the given polar curves are as follows: 63. 2πa, 64. 12, 65. Infinite, 66. Infinite, and 67. 32.

To find the length of a polar curve, we use the arc length formula in polar coordinates:

L = ∫[θ1,θ2] √(r^2 + (dr/dθ)^2) dθ

For the complete circle r = a sin θ, where a > 0, the curve represents a full circle with radius a. The length of a circle is given by the circumference formula, which is 2π times the radius. Therefore, the length of this polar curve is 2πa.

For the complete cardioid r = 2 - 2 sin θ, the curve represents a heart shape. By evaluating the integral using the given equation, we find that the length of this polar curve is 12.

For the spiral r = 6θ, where 0 ≤ θ ≤ 27, the curve extends indefinitely as θ increases. Since the interval of integration is from 0 to 27, the length of this polar curve is infinite.

Similarly, for the spiral r = r, where 0 ≤ θ ≤ 2mn and n is a positive integer, the curve extends infinitely as θ increases. Thus, the length of this polar curve is also infinite.

Finally, for the complete cardioid r = 4 + 4 sin θ, the curve represents a heart shape. By evaluating the integral using the given equation, we find that the length of this polar curve is 32.

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Answer:

n+2 is the next even number as n is an even number so adding 2 will make it an even number again.

The maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B) is 4096.

The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.

The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. The set of all subsets of the set X is called a Power set including the null set, empty set and the set itself. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.

As per the question,

⇒  n ( A )   =   3 elements

Number of subsets of A   =   2³

                                          =   8 subsets

⇒   n ( B )   =   2 elements

Number of subsets of B   =   2²

                                          =   4 subsets

By using the product rule,

Total number of functions from P ( B ) to P ( A )   =   8 × 8 × 8 × 8

                                                                                =   4096

Therefore, 4096 is the maximum number of functions that can be defined from the power set of A, P(A) to the power set of B.

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Answer:

1/3

Step-by-step explanation:

So there are 12 natural numbers in total: (113 - 102) + 1

Then there are the prime numbers: 103, 107, 109, and 113

so there are 4/12 prime numbers or 1/3

Answer:

1/3

Step-by-step explanation:

We can list all the numbers from 102 to 113:

To check if each number is prime, we simply have to check divisibility by 2, 3, 5, and 7 — if any of these numbers are not divisible by those, it will have no factors lower than its square root, and will therefore be prime.

102 - composite, multiple of 2

103 - prime

104 - composite, multiple of 2

105 - composite, multiple of 5

106 - composite, multiple of 2

107 - prime

108 - composite, multiple of 2

109 - prime

110 - composite, multiple of 2

111 - composite, multiple of 3

112 - composite, multiple of

113 - prime

4/12 or 1/3 of the numbers in this list are prime.

Answer:

28 horses

Step-by-step explanation:

336/12=28

because every 12 miles they change the horse.

The probability of exactly 3 items out of 15 being defective is 0.184 or approximately 18.4%.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number outcomes.

To solve this problem, we can use the binomial distribution, which is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

In this case, the probability of a single item being defective is 10%, or 0.1, and the probability of a single item being non-defective is 90%, or 0.9. We want to know the probability of getting exactly 3 defective items out of a sample of 15 items.

Using the binomial distribution formula, we can calculate this probability as follows:

P(X = 3) = (15 choose 3) * \(0.1^3\) *\(0.9^12\)

where (15 choose 3) is the number of ways to choose 3 items out of 15, which is given by the binomial coefficient:

(15 choose 3) = 15! / (3! * 12!) = 455

Substituting these values into the formula, we get:

P(X = 3) = 455 *  \(0.1^3\) *\(0.9^12\)

Therefore, the probability of exactly 3 items out of 15 being defective is 0.184 or approximately 18.4%.

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⇒ Note we can answer the question without having to calculate anything if we know what is meant by a y-intercept and x-intercept.

y-intercept is a point in the y-axis where the x coordinate is 0 given by (0,y)

x-intercept is a point is the x-axis where y is equal to 0.(x,0)

If we are to check in the diagram⇒ for y-intercept the point in the

(0,-6)

For x-intercept, the point on the x- axis where y is 0 is (-8,0)

Answer:

y = -6x + 7

Step-by-step explanation:

In this question, we need to find the equation of a line with the given information.

We know that the line passes through (2, -5).

We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.

To make it simpler to understand, we can change the equation into slope format:

y = -6x + 6

This means that our new line should have a slope of -6.

With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.

Plug in your slope and coordinates to the y = mx + b equation and solve for b:

-5 = -6(2) + b

-5 = -12 + b

Add 12 to both sides.

7 = b

Our y-intercept would be b.

Now, we can plug in all our information to get our new equation:

y = -6x + 7

Your answer would be y = -6x + 7

Information security and ethics is defined as an all encompassing term that refers to all activities needed to secure information and systems that support it in order to facilitate its ethical use

ETHICS:

Derived from the Greek word “ethos”, which means “way of living”, ethics is a branch of philosophy that is concerned with human conduct, more specifically the behaviour of individuals in society. Ethics examines the rational justification for our moral judgments; it studies what is morally right or wrong, just or unjust.

In a broader sense, ethics reflects on human beings and their interaction with nature and with other humans, on freedom, on responsibility and on justice. It can be said that in general, ethics is concerned with human independence when it focuses on the relationship that exists between humans and the world

This independence is the primary condition in ethical decision-making and in any objective analysis of the facts. Individuals demonstrate independence when, in a decision-making process, they choose to free themselves as much as possible from their conditioning. Insofar as this operation assumes a degree of lucidity that allows us to judge objectively and to decide what direction to take, it will be understood that making ethical decisions is difficult.

SECURITY:

Security for information technology (IT) refers to the methods, tools and personnel used to defend an organization's digital assets. The goal of IT security is to protect these assets, devices and services from being disrupted, stolen or exploited by unauthorized users, otherwise known as threat actors. These threats can be external or internal and malicious or accidental in both origin and nature.

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The standard error for the sample proportion of soccer players whose favorite position is goalkeeper is 0.080.

The standard error (SE) of the sample proportion is calculated using the formula:

SE = √((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample size is n = 47, and the sample proportion of soccer players whose favorite position is goalkeeper is p = 32/47 = 0.6809 (rounded to four decimal places).

Substituting these values into the formula, we get:

SE = √((0.6809 × (1 - 0.6809)) / 47)

SE = √(0.2179 / 47)

SE ≈ 0.082

Rounding to three decimal places, the standard error for the sample proportion is approximately 0.082.

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Answer:

Option E) 832.9km2

Step-by-step explanation:

The total area of the circle:

\(A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}\)

The proportion of the blank region:

\(\frac{(67)(3)}{360} =0.558333\)

Then the proportion of the shaded region is:

\(1-0.558=0.441667\)

Extract this proportion from the total area

\((1885.7)(0.441667)=832.85=832.9km^{2}\)

Hope this helps

Answer:

the tax will be 86.8 I hope it helps

The possible range of the measurement is 211.43 to 216.57

The range in statistics for a given data set is the difference between the highest and lowest values.

The range could also be defined as the difference between the highest observation and lowest observation.

The obtained result is called the range of observation.

In the given question it is given measurement 214oz ± 1.2%

To find the range first we need to find its minimum and maximum value.

So,

1.2% of 214 = 0.012×214

=2.568

Rounding off to nearest hundredths

=2.57

Then the minimum possible value is

214-2.57=211.43

And the maximum possible value is

214+2.57=216.57

So the range would be between 211.43 to 216.57

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Answer:

Real number

Step-by-step explanation:

18.62 is a Real number. A real number is just a number that is either an integer, decimal or anything like that.

The probability that at any given time, all three users are transmitting simultaneously is option (b) 0.001

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.

The question asks about the probability of all three users transmitting simultaneously on a shared 4Mbps link, given that each user transmits only 10% of the time.

Assuming that the transmission of each user is independent of the others, the probability of all three users transmitting simultaneously can be calculated using the binomial distribution as follows

P(all three transmitting) = (0.1)^3 = 0.001

Therefore, the correct option is (b) 0.001

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The probability that the sample mean is between 9.0 and 11.0 is approximately 0.9642, or 96.42%.

To calculate the probability that the sample mean is between 9.0 and 11.0, we can use the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (n ≥ 30) and the population distribution is approximately normal, the sampling distribution of the sample mean will be approximately normal.

In this case, we have a sample size of 40, which satisfies the condition of the CLT. The population mean (μ) is 10 and the standard deviation (σ) is 3.

First, we calculate the standard error of the sample mean using the formula: σ/√n, where σ is the population standard deviation and n is the sample size. The standard error is given by

3/√40 = 0.4743.

Next, we convert the values of 9.0 and 11.0 to z-scores using the formula:

(X - μ) / (σ/√n).

For 9.0, the z-score is

(9.0 - 10) / 0.4743 = -2.12,

and for 11.0, the z-score is

(11.0 - 10) / 0.4743 = 2.12.

Using a standard normal distribution table or a calculator, we can find the area under the normal curve between these two z-scores. The probability that the sample mean falls between 9.0 and 11.0 is the difference between the cumulative probabilities at these z-scores.

P(9.0 ≤ X ≤ 11.0) = P(Z ≤ 2.12) - P(Z ≤ -2.12)

Using a standard normal distribution table or a calculator, we can find the probabilities associated with these z-scores and calculate the final probability.

P(Z ≤ 2.12) ≈ 0.9821

P(Z ≤ -2.12) ≈ 0.0179

Now, we can calculate the probability that the sample mean falls between 9.0 and 11.0:

P(9.0 ≤ X ≤ 11.0) = P(Z ≤ 2.12) - P(Z ≤ -2.12)

≈ 0.9821 - 0.0179

≈ 0.9642

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For the given Problem, The correct option giving Rachel's height in inches is (D) 70.

A z-score, also called standard score, can be used to measure- how much an observation or data point deviates from the mean of the distribution. By Subtracting the mean of the given distribution from the observation and after that dividing it by the standard deviation will give us the z-score for given observations.

Given:

Mean height (μ) = 65 inches

Standard deviation (σ) = 2 inches

Percentile (P) = 99%

The Z-score, commonly known as the standard score, helps in quantifying how much a data point deviates from the mean. It can be computers as:

\(Z = (X - \mu) / \sigma\)

where X is the value of the data point.

We can rearrange the equation to solve for X:

\(X = Z * \sigma + \mu\)

We may use a regular normal distribution table or a Z-table to obtain the Z-score corresponding to the 99th percentile. The Z-score for the 99th percentile is roughly 2.33.

\(X = 2.33 * 2 + 65\\\\X = 4.66 + 65\\\\X = 69.66\\\\{X}\;\approx70\; inches\)

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Answer:

Step-by-step explanation:

The die is 6-sided. This means that there are 3 odd numbers and 3 even numbers.

When the die is rolled once, the probability of getting an odd number is:

3/6 = 1/2

The probability that this event will occur 4 out of 5 times will be:

4/5 * 1/2 = 4/10 = 2/5

There is no absolute value function when graphed, will be wider than the graph of the parent function f(x) = |x|

An absolute value function is a function such that,

\(|x|=-1 when x\geq 0 and |x|=1 when x\leq 0\)

For the given example,

We have been given a parent function f(x) = |x|

We need to find the absolute value function, when graphed, will be wider than the graph of the parent function.

Consider the graph of all absolute value functions.

The graph of f(x) = |x| + 3 is represented blue color.

The graph of f(x) = |x − 6| is represented green color.

The graph of f(x) = |x| is represented red color.

The graph of f(x) = 9|x| is represented violet color.

From this graph, we can observe that,

f(x) = |x| + 3 is as wise as the parent absolute value function f(x) = |x| translated up by 3 units.

Similarly, the function f(x) = |x - 6| is as wise as the parent absolute value function f(x) = |x| translated right by 6 units.

This means, there is no absolute value function when graphed, which will be wider than the graph of the parent function f(x) = |x|

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Answer:

I believe the answer is C. F(x)= 1/3|x|

Step-by-step explanation:

i hope this helps.

Answer:

25.20

Step-by-step explanation:

Answer:

25 6/29

Step-by-step explanation:

use long division, and cancel common factors

Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.

Let's assume the number of phone calls Raina received on the third evening is x.

According to the given information:

The second evening, she received 3 times as many calls as the third evening, so the number of calls on the second evening is 3x.

The first evening, she received 8 fewer calls than the third evening, so the number of calls on the first evening is x - 8.

The total number of phone calls over the three evenings is 67, so we can write the equation:

x + 3x + (x - 8) = 67

Combining like terms:

5x - 8 = 67

Adding 8 to both sides:

5x = 75

Dividing both sides by 5:

x = 15

So, Raina received 15 phone calls on the third evening.

On the second evening, she received 3 times as many calls, which is 3 * 15 = 45 calls.

On the first evening, she received 8 fewer calls than the third evening, which is 15 - 8 = 7 calls.

Therefore, Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.

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Answer:

2/1

Step-by-step explanation:

Answer:

the answer is 2!

Step-by-step explanation:

you count the rise over run

count from where it meets a whole number to where it meets another whole number and then you have your answer!

for this you count from (3,3) to (2,1) which is 2/1 making it 2

Answer:

-2.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Khan Academy

Answer:

(0.309,0.359)

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

Each side of the triangle is 1 unit. When putting 10 triangles together in figure 10, there will be 12 sides on the perimeter. Therefore, your answer is 12 units.

Answer: There will be 25 red roses and 20 pink roses.

Step-by-step explanation: If the ratio is 5 to 4 then we can add 5 and 4 together to get 9. 45 is divisible by 9. 9 goes into 45, 5 times. If we multiply 5 by 5 then it will be 25 which is 5/9 of 45. Then if we do the same thing but we multiply 4 times 5 then we will get 20 which is the other 4/9 of the ratio.